Subgroups — #44540384

Order 31712.

36 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄⋊Dic₉₉₁	C₂	1	2	yes	maximal
2	C₂×C₈×C₉₉₁	C₂	1	1	yes	maximal, characteristic
3	C₂×Dic₉₉₁	—	2	2	no	—
4	C₂×C₄×C₉₉₁	C₂²	1	1	yes	characteristic
5	C₈×C₉₉₁	C₄	1	2	yes	complemented
6	C₂²×C₉₉₁	D₄	1	1	yes	characteristic
7	C₄×C₉₉₁	C₂×C₄	1	1	yes	characteristic
8	C₄×C₉₉₁	Q₈	1	1	yes	characteristic
9	Dic₉₉₁	—	4	2	no	—
10	C₂×C₉₉₁	C₄⋊C₄	1	1	yes	characteristic
11	C₂×C₉₉₁	D₈	1	1	yes	characteristic
12	C₂×C₉₉₁	Q₁₆	1	1	yes	characteristic
13	C₉₉₁	#107	1	1	yes	characteristic, complemented, Sylow
14	#107	—	991	1	no	maximal, Sylow
15	C₂×C₈	D₉₉₁	1	1	yes	characteristic
16	C₄⋊C₄	—	991	2	no	—
17	C₂×C₄	—	1982	2	no	—
18	C₂×C₄	C₂×D₉₉₁	1	1	yes	characteristic
19	C₈	Dic₉₉₁	1	2	yes	complemented
20	C₂²	D₃₉₆₄	1	1	yes	characteristic
21	C₄	—	3964	2	no	—
22	C₄	C₂×Dic₉₉₁	1	1	yes	characteristic
23	C₄	Dic₁₉₈₂	1	1	yes	characteristic
24	C₂	C₄⋊Dic₉₉₁	1	1	yes	characteristic
25	C₂	D₇₉₂₈	1	1	yes	characteristic
26	C₂	Dic₃₉₆₄	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.