Subgroups — #26041105

Order 11584.

46 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19153750	C₂	1	2	yes	maximal
2	C₂×C₁₆×C₁₈₁	C₂	1	1	yes	maximal, characteristic
3	C₄⋊Dic₁₈₁	—	2	2	no	—
4	C₂×C₈×C₁₈₁	C₂²	1	1	yes	characteristic
5	C₁₆×C₁₈₁	C₄	1	2	yes	complemented
6	C₂×Dic₁₈₁	—	4	2	no	—
7	C₂×C₄×C₁₈₁	D₄	1	1	yes	characteristic
8	C₈×C₁₈₁	C₂×C₄	1	1	yes	characteristic
9	C₈×C₁₈₁	Q₈	1	1	yes	characteristic
10	C₂²×C₁₈₁	D₈	1	1	yes	characteristic
11	C₄×C₁₈₁	C₄⋊C₄	1	1	yes	characteristic
12	C₄×C₁₈₁	Q₁₆	1	1	yes	characteristic
13	Dic₁₈₁	—	8	2	no	—
14	C₂×C₁₈₁	#107	1	1	yes	characteristic
15	C₂×C₁₈₁	D₁₆	1	1	yes	characteristic
16	C₂×C₁₈₁	Q₃₂	1	1	yes	characteristic
17	C₁₈₁	#366	1	1	yes	characteristic, complemented, Sylow
18	#366	—	181	1	no	maximal, Sylow
19	C₂×C₁₆	D₁₈₁	1	1	yes	characteristic
20	#107	—	181	2	no	—
21	C₂×C₈	C₂×D₁₈₁	1	1	yes	characteristic
22	C₄⋊C₄	—	362	2	no	—
23	C₁₆	Dic₁₈₁	1	2	yes	complemented
24	C₂×C₄	—	724	2	no	—
25	C₂×C₄	D₇₂₄	1	1	yes	characteristic
26	C₈	C₂×Dic₁₈₁	1	1	yes	characteristic
27	C₈	Dic₃₆₂	1	1	yes	characteristic
28	C₂²	D₁₄₄₈	1	1	yes	characteristic
29	C₄	—	1448	2	no	—
30	C₄	C₄⋊Dic₁₈₁	1	1	yes	characteristic
31	C₄	Dic₇₂₄	1	1	yes	characteristic
32	C₂	#19153750	1	1	yes	characteristic
33	C₂	D₂₈₉₆	1	1	yes	characteristic
34	C₂	Dic₁₄₄₈	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.