Subgroups — C₁₁×#15692438 #49088317

Order 35739.

28 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×C₁₉×C₁₉⋊C₃	C₃	1	1	yes	maximal, characteristic
2	C₁₁×C₁₉²	C₉	1	1	yes	characteristic, complemented, Hall
3	#15692438	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Hall
4	C₁₁×#4296	—	19	1	no	maximal
5	C₁₁×#4294	—	19	1	no	maximal
6	C₁₉×C₁₉⋊C₃	C₃×C₁₁	1	1	yes	characteristic
7	C₃×C₁₁×C₁₉	—	19	1	no	—
8	C₁₁×C₁₉⋊C₃	C₁₉⋊C₃	1	1	yes	characteristic
9	C₁₉²	C₉×C₁₁	1	1	yes	characteristic, complemented, Sylow
10	C₁₁×C₁₉	—	9	2	no	—
11	C₁₁×C₁₉	#4294	1	1	yes	characteristic, complemented
12	C₁₁×C₁₉	#4296	1	1	yes	characteristic, complemented
13	#4296	—	19	1	no	—
14	#4294	—	19	1	no	—
15	C₉×C₁₁	—	361	1	no	Hall
16	C₃×C₁₉	—	19	1	no	—
17	C₁₉⋊C₃	C₁₁×C₁₉⋊C₃	1	1	yes	characteristic
18	C₃×C₁₁	—	19	1	no	—
19	C₁₉	—	9	2	no	—
20	C₁₉	C₁₁×#4294	1	1	yes	characteristic, complemented
21	C₁₉	C₁₁×#4296	1	1	yes	characteristic, complemented
22	C₁₁	#15692438	1	1	yes	characteristic, direct product factor, Sylow
23	C₉	—	361	1	no	Sylow
24	C₃	—	19	1	no	—

Splittings G = N ⋊ H with N normal; H ≅ G/N.

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.