Subgroups — #26042203

Order 11584.

42 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19153886	C₂	1	1	yes	maximal, characteristic
2	#19153884	C₂	1	1	yes	maximal, characteristic
3	#19153755	C₂	1	1	yes	maximal, characteristic
4	#15668459	—	2	1	no	—
5	C₄⋊#10624382	—	2	1	no	—
6	C₈×D₁₈₁	C₂²	1	1	yes	characteristic
7	#15668424	C₄	1	1	yes	characteristic, complemented
8	C₁₆×C₁₈₁	C₄	1	1	yes	characteristic, complemented
9	C₂×#10624382	—	4	1	no	—
10	#13089685	—	4	1	no	—
11	C₄×D₁₈₁	D₄	1	1	yes	characteristic
12	#13089678	Q₈	1	1	yes	characteristic
13	C₈×C₁₈₁	C₂×C₄	1	1	yes	characteristic
14	C₂×D₁₈₁	SD₁₆	1	1	yes	characteristic
15	#10624382	—	8	1	no	—
16	C₄×C₁₈₁	C₄⋊C₄	1	1	yes	characteristic
17	Dic₁₈₁	SD₁₆	1	1	yes	characteristic
18	C₂×C₁₈₁	#106	1	1	yes	characteristic
19	D₁₈₁	—	2	1	no	—
20	C₁₈₁	#365	1	1	yes	characteristic, complemented, Sylow
21	#365	—	181	1	no	maximal, Sylow
22	M₃₂	—	181	1	no	—
23	#108	—	181	1	no	—
24	#106	—	181	1	no	—
25	M₁₆	—	362	1	no	—
26	C₂×C₈	—	181	1	no	—
27	C₄⋊C₄	—	362	1	no	—
28	C₁₆	—	181	1	no	—
29	C₁₆	#10624382	1	1	yes	characteristic, complemented
30	C₂×C₄	—	181	1	no	—
31	C₂×C₄	—	724	1	no	—
32	C₈	—	181	1	no	—
33	C₈	—	724	1	no	—
34	C₈	C₂×#10624382	1	1	yes	characteristic
35	C₂²	—	181	1	no	—
36	C₄	—	1448	1	no	—
37	C₄	—	181	1	no	—
38	C₄	C₄⋊#10624382	1	1	yes	characteristic
39	C₂	—	362	1	no	—
40	C₂	#19153884	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.