Subgroups — #26042170

Order 11584.

46 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19153891	C₂	1	1	yes	maximal, characteristic
2	#19153870	C₂	1	1	yes	maximal, characteristic
3	#19153755	C₂	1	1	yes	maximal, characteristic
4	D₁₈₁⋊C₈	C₄	1	1	yes	characteristic
5	C₄×#10624382	C₄	1	1	yes	characteristic
6	#15668452	C₄	1	2	yes	complemented
7	C₈×D₁₈₁	C₂²	1	1	yes	characteristic
8	#15668424	C₄	1	1	yes	characteristic, complemented
9	C₁₆×C₁₈₁	C₄	1	1	yes	characteristic, complemented
10	C₂×#10624382	—	2	1	no	—
11	#13089685	—	2	1	no	—
12	C₄×D₁₈₁	C₂×C₄	1	1	yes	characteristic
13	#13089678	C₂×C₄	1	1	yes	characteristic
14	C₈×C₁₈₁	C₂×C₄	1	1	yes	characteristic
15	C₂×D₁₈₁	M₁₆	1	1	yes	characteristic
16	#10624382	—	4	1	no	—
17	C₄×C₁₈₁	C₄²	1	1	yes	characteristic
18	Dic₁₈₁	M₁₆	1	1	yes	characteristic
19	C₂×C₁₈₁	#97	1	1	yes	characteristic
20	D₁₈₁	—	2	1	no	—
21	C₁₈₁	#347	1	1	yes	characteristic, complemented, Sylow
22	#347	—	181	1	no	maximal, Sylow
23	M₃₂	—	181	1	no	—
24	M₃₂	—	181	1	no	—
25	#97	—	181	1	no	—
26	C₂×C₈	—	181	1	no	—
27	C₂×C₈	—	181	1	no	—
28	C₄²	—	181	1	no	—
29	C₁₆	—	181	2	no	—
30	C₁₆	—	181	1	no	—
31	C₁₆	#10624382	1	1	yes	characteristic, complemented
32	C₂×C₄	—	362	1	no	—
33	C₂×C₄	—	181	1	no	—
34	C₈	—	362	1	no	—
35	C₈	—	181	1	no	—
36	C₈	C₂×#10624382	1	1	yes	characteristic
37	C₂²	—	181	1	no	—
38	C₄	—	181	1	no	—
39	C₄	—	724	1	no	—
40	C₄	C₄×#10624382	1	1	yes	characteristic
41	C₂	—	362	1	no	—
42	C₂	#19153870	1	1	yes	characteristic

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.