Subgroups — #44530741

Order 31264.

26 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#30627610	C₂	1	2	yes	maximal, complemented
2	C₈×D₉₇₇	C₂	1	1	yes	maximal, characteristic
3	C₄×D₉₇₇	C₄	1	1	yes	characteristic
4	#21463091	C₂²	1	1	yes	characteristic
5	C₈×C₉₇₇	C₄	1	1	yes	characteristic
6	C₂×D₉₇₇	C₈	1	1	yes	characteristic
7	C₄×C₉₇₇	C₂×C₄	1	1	yes	characteristic
8	Dic₉₇₇	C₈	1	1	yes	characteristic
9	C₂×C₉₇₇	C₂×C₈	1	1	yes	characteristic
10	D₉₇₇	—	2	1	no	—
11	C₉₇₇	M₃₂	1	1	yes	characteristic, complemented, Sylow
12	M₃₂	—	977	1	no	maximal, Sylow
13	C₂×C₈	—	977	1	no	—
14	C₁₆	—	977	2	no	—
15	C₂×C₄	—	977	1	no	—
16	C₈	—	977	1	no	—
17	C₈	#16840926	1	1	yes	characteristic
18	C₂²	—	977	1	no	—
19	C₄	—	977	1	no	—
20	C₄	C₂×#16840926	1	1	yes	characteristic
21	C₂	—	1954	1	no	—
22	C₂	#30627615	1	1	yes	characteristic

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

N	H ≅ G/N	type
1. #30627610	C₂	semidirect
11. C₉₇₇	M₃₂	semidirect

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