Subgroups — C₁₁×#14555575 #37563525

Order 24156.

40 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×C₃⋊D₃×C₆₁	C₂	1	1	yes	maximal, characteristic
2	C₃²×C₁₁×C₆₁	C₄	1	1	yes	characteristic, complemented, Hall
3	D₃×C₁₁×C₆₁	—	6	2	no	—
4	C₁₁×Dic₆₁	—	9	1	no	maximal, Hall
5	#14555575	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Hall
6	C₃×C₁₁×C₆₁	—	2	2	no	—
7	C₂×C₁₁×C₆₁	—	9	1	no	—
8	C₃⋊D₃×C₆₁	C₂×C₁₁	1	1	yes	characteristic
9	C₁₁×C₆₁	#157	1	1	yes	characteristic, complemented, Hall
10	C₃²×C₆₁	C₄×C₁₁	1	1	yes	characteristic, complemented, Hall
11	C₁₁×#157	—	61	1	no	maximal, Hall
12	D₃×C₆₁	—	6	2	no	—
13	Dic₆₁	—	9	1	no	Hall
14	C₁₁×C₃⋊D₃	D₆₁	1	1	yes	characteristic
15	C₃×C₆₁	—	2	2	no	—
16	C₂×C₆₁	—	9	1	no	—
17	C₃²×C₁₁	Dic₆₁	1	1	yes	characteristic, complemented, Hall
18	D₃×C₁₁	—	6	2	no	—
19	C₆₁	C₁₁×#157	1	1	yes	characteristic, complemented, Sylow
20	C₄×C₁₁	—	549	1	no	Hall
21	#157	—	61	1	no	Hall
22	C₃×C₁₁	—	2	2	no	—
23	C₂×C₁₁	—	9	1	no	—
24	C₃⋊D₃	C₁₁×D₆₁	1	1	yes	characteristic
25	C₁₁	#14555575	1	1	yes	characteristic, direct product factor, Sylow
26	C₃²	C₁₁×Dic₆₁	1	1	yes	characteristic, complemented, Sylow
27	D₃	—	6	2	no	—
28	C₄	—	549	1	no	Sylow
29	C₃	—	2	2	no	—
30	C₂	—	9	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.