Subgroups — #44542370

Order 31904.

36 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄⋊#16860614	C₂	1	2	yes	maximal
2	C₈×D₉₉₇	C₂	1	1	yes	maximal, characteristic
3	C₂×#16860614	—	2	2	no	—
4	C₄×D₉₉₇	C₂²	1	1	yes	characteristic
5	#22547562	C₄	1	1	yes	characteristic, complemented
6	C₈×C₉₉₇	C₄	1	1	yes	characteristic, complemented
7	C₂×D₉₉₇	D₄	1	1	yes	characteristic
8	#16860614	—	4	2	no	—
9	C₄×C₉₉₇	C₂×C₄	1	1	yes	characteristic
10	Dic₉₉₇	Q₈	1	1	yes	characteristic
11	C₂×C₉₉₇	C₄⋊C₄	1	1	yes	characteristic
12	D₉₉₇	D₈	1	1	yes	characteristic
13	D₉₉₇	Q₁₆	1	1	yes	characteristic
14	C₉₉₇	#107	1	1	yes	characteristic, complemented, Sylow
15	#107	—	997	1	no	maximal, Sylow
16	C₂×C₈	—	997	1	no	—
17	C₄⋊C₄	—	997	2	no	—
18	C₂×C₄	—	1994	2	no	—
19	C₂×C₄	—	997	1	no	—
20	C₈	—	997	1	no	—
21	C₈	#16860614	1	1	yes	characteristic, complemented
22	C₂²	—	997	1	no	—
23	C₄	—	3988	2	no	—
24	C₄	—	997	1	no	—
25	C₄	C₂×#16860614	1	1	yes	characteristic
26	C₂	—	997	1	no	—
27	C₂	—	997	1	no	—
28	C₂	C₄⋊#16860614	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.