Subgroups — #44527083

Order 31072.

36 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄⋊Dic₉₇₁	C₂	1	2	yes	maximal
2	C₂×C₈×C₉₇₁	C₂	1	1	yes	maximal, characteristic
3	C₂×Dic₉₇₁	—	2	2	no	—
4	C₂×C₄×C₉₇₁	C₂²	1	1	yes	characteristic
5	C₈×C₉₇₁	C₄	1	2	yes	complemented
6	C₂²×C₉₇₁	D₄	1	1	yes	characteristic
7	C₄×C₉₇₁	C₂×C₄	1	1	yes	characteristic
8	C₄×C₉₇₁	Q₈	1	1	yes	characteristic
9	Dic₉₇₁	—	4	2	no	—
10	C₂×C₉₇₁	C₄⋊C₄	1	1	yes	characteristic
11	C₂×C₉₇₁	SD₁₆	1	2	yes	—
12	C₉₇₁	#106	1	1	yes	characteristic, complemented, Sylow
13	#106	—	971	1	no	maximal, Sylow
14	C₂×C₈	D₉₇₁	1	1	yes	characteristic
15	C₄⋊C₄	—	971	2	no	—
16	C₂×C₄	—	1942	2	no	—
17	C₂×C₄	C₂×D₉₇₁	1	1	yes	characteristic
18	C₈	Dic₉₇₁	1	2	yes	complemented
19	C₂²	D₃₈₈₄	1	1	yes	characteristic
20	C₄	—	3884	2	no	—
21	C₄	C₂×Dic₉₇₁	1	1	yes	characteristic
22	C₄	Dic₁₉₄₂	1	1	yes	characteristic
23	C₂	C₄⋊Dic₉₇₁	1	1	yes	characteristic
24	C₂	#29509478	1	2	yes	—

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.