1	Fertile lamina much contracted; sporangia not forming sori but dense along veinlets		(2)
+	Fertile fronds not or only slightly contracted; sori orbicular, separate, usually indusiate		(3)
2 (1)	Lamina glabrous; plants usually large (Hemigramma group).		13 T. harlandii
+	Lamina hairy; plants minute, fronds less than 20 cm (Quercifilix group).		35 T. zeilanica
3 (1)	Veins free or partly anastomosing, but then only those veins along costae or costules connecting, areoles without included veinlets (Ctenitopsis group)		(4)
+	Veins fully anastomosing, areoles with included veinlets (Tectaria group)		(13)
4 (3)	Basiscopic pinnules or lobes of basal pinnae not elongated, often shortened		(5)
+	Basiscopic pinnules or lobes of basal pinnae obviously elongated		(7)
5 (4)	Fronds bipinnate at base; veinlets anastomosing and forming obvious areoles.		2 T. chinensis
+	Fronds bipinnatifid at base; veinlets free or occasionally anastomosing		(6)
6 (5)	Stipes and rachises deep castaneous to dark brown, glossy; basal pinnae not shortened; sori intramarginal, indusiate.		26 T. sagenioides
+	Stipes and rachises dark brown, dull; basal pinnae shortened; sori terminal, exindusiate.		30 T. subsageniacea
7 (4)	Plants ca. 2 m or taller; basal lamina 4-pinnatifid to 4-pinnate, 2-pinnate or 3-pinnatifid toward apices		(8)
+	Plants up to 1 m tall; basal lamina 3-pinnatifid to 3-pinnate, 2-pinnatifid upward		(9)
8 (7)	Fronds glabrescent on both surfaces, dimorphic.		16 T. ingens
+	Fronds densely hairy on both surfaces, homomorphic.		27 T. setulosa
9 (7)	Veinlets free		(10)
+	Veinlets anastomosing and forming obvious areoles		(11)
10 (9)	Fronds triangular-ovate to ovate; pinnae 6-8 pairs, stipes and rachis glabrous or nearly so.		6 T. dissecta
+	Fronds elliptic-lanceolate to elliptic; pinnae 9-12 pairs, stipes and rachis densely hairy.		17 T. kusukusensis
11 (9)	Fronds homomorphic, 3-pinnate at base; stipes stramineous or brown to castaneous, scales deep brown, concolorous.		5 T. devexa
+	Fronds dimorphic, 2-pinnate at base; stipes stramineous, scales dark brown with a paler margin		(12)
12 (11)	Sori only at tip of lobes.		1 T. acrocarpa
+	Sori throughout.		10 T. fuscipes
13 (3)	Sori large, terminal on (included) veinlets, in 2 rows between lateral veins; indusia large, persistent		(14)
+	Sori small, on anastomosing veinlets, in irregular rows between lateral veins; indusium small, caducous		(24)
14 (13)	Veins forming a single row of narrow areoles along pinna rachises; included veinlets simple (not forked) when present		(15)
+	Veins inconspicuous; included veinlets forked		(18)
15 (14)	Fronds dimorphic; length of stipes up to ca. 2 ?length of lamina.		15 T. impressa
+	Fronds homomorphic; length of stipes equal to or shorter than length of lamina		(16)
16 (15)	Stipes scaly throughout.		11 T. griffithii
+	Stipes scaly only at base		(17)
17 (16)	Rhizome and stipe base with blunt spines; pinnae distant.		24 T. remotipinna
+	Rhizome and stipe base without spines; pinnae closer.		3 T. coadunata
18 (14)	Bases of lamina decurrent; stipes broadly winged nearly to base		(19)
+	Bases of lamina not decurrent; stipes not winged		(20)
19 (18)	Lamina deeply pinnately lobed, oblong-ovate.		4 T. decurrens
+	Lamina simple, not lobed, lanceolate.		18 T. leptophylla
20 (18)	Stipes and rachises black, glossy.		8 T. ebenina
+	Stipes and rachises brown or stramineous, slightly glossy or dull		(21)
21 (20)	Stipes stramineous; fronds small, deltoid-ovate, palmately 3-5-parted.		29 T. subpedata
+	Stipes brown to dark brown; fronds large, ovate-lanceolate, pinnately 1-3-parted		(22)
22 (21)	Stipes densely scaly throughout.		7 T. dubia
+	Stipes subglabrous throughout except at base		(23)
23 (22)	Pinnae 5 pairs or more; base of basal pinnae asymmetrical; middle pinnae lanceolate, ca. 3 cm wide, pinnate-lacerate.		21 T. phaeocaulis
+	Pinnae 4-6 pairs; base of basal pinnae symmetrical; middle pinnae triangular, ca. 8 cm wide, pinnatipartite.		34 T. yunnanensis
24 (13)	Stipes winged at least at apex		(25)
+	Stipes not winged		(26)
25 (24)	Stipes winged almost throughout, almost to base; lateral pinnae without gemmae.		33 T. vasta
+	Stipes winged at apex at most up to middle; lateral pinnae gemmate or not.		9 T. fauriei
26 (24)	Lamina pinnatifid at apex, different from basiscopic pairs		(27)
+	Terminal pinna lanceolate or elliptic, separate, simple or trifurcate, similar to basiscopic pairs		(29)
27 (26)	Stipes and rachises castaneous to dark brown, slightly glossy.		25 T. rockii
+	Stipes and rachises stramineous, dull		(28)
28 (27)	Rhizome long creeping; sori well distributed over pinnae.		31 T. subtriphylla
+	Rhizome short, ascending or erect; sori only near margins.		12 T. grossedentata
29 (26)	Rhizome long creeping; pinnae never forked		(30)
+	Rhizome short, ascending or erect; pinnae usually forked		(31)
30 (29)	Rhizome scales dark brown; stipes hairy; terminal pinna bases cuneate; lateral pinna bases asymmetrical.		14 T. herpetocaulos
+	Rhizome scales light brown; stipes glabrous; terminal pinna bases decurrent; lateral pinna bases symmetrical.		32 T. variabilis
31 (29)	Lamina once pinnate (basal pinnae forked)		(32)
+	Lamina twice pinnate		(33)
32 (31)	Base of terminal pinna rounded or cordate.		22 T. polymorpha
+	Base of terminal pinna decurrent.		23 T. quinquefida
33 (31)	Stipes and rachis stramineous to light brown, dull.		19 T. luchunensis
+	Stipes and rachises brown or deep castaneous to black, glossy		(34)
34 (33)	Stipes and rachis deep castaneous to black; sori exindusiate.		28 T. simonsii
+	Stipes and rachis dark brown to deep castaneous, never black; sori indusiate.		20 T. media