Subgroups — C₂×#30627582 #44530604

Order 31264.

28 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#30627582	C₂	1	2	yes	maximal, direct product factor
2	C₂×C₈×C₉₇₇	C₂	1	1	yes	maximal, characteristic
3	C₂×C₄×C₉₇₇	C₄	1	1	yes	characteristic
4	C₈×C₉₇₇	C₄	1	1	yes	characteristic
5	C₈×C₉₇₇	C₂²	1	1	yes	characteristic
6	C₂²×C₉₇₇	C₈	1	1	yes	characteristic
7	C₄×C₉₇₇	C₈	1	1	yes	characteristic
8	C₄×C₉₇₇	C₂×C₄	1	1	yes	characteristic
9	C₂×C₉₇₇	C₁₆	1	2	yes	complemented
10	C₂×C₉₇₇	C₂×C₈	1	1	yes	characteristic
11	C₉₇₇	C₂×C₁₆	1	1	yes	characteristic, complemented, Sylow
12	C₂×C₁₆	—	977	1	no	maximal, Sylow
13	C₂×C₈	D₉₇₇	1	1	yes	characteristic
14	C₁₆	—	977	2	no	—
15	C₂×C₄	Dic₉₇₇	1	1	yes	characteristic
16	C₈	Dic₉₇₇	1	1	yes	characteristic
17	C₈	C₂×D₉₇₇	1	1	yes	characteristic
18	C₂²	#21463091	1	1	yes	characteristic
19	C₄	#21463091	1	1	yes	characteristic
20	C₄	C₂×Dic₉₇₇	1	1	yes	characteristic
21	C₂	#30627582	1	2	yes	direct product factor
22	C₂	C₂×#21463091	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.