Subgroups — #15690878

Order 3104.

36 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄⋊#87604	C₂	1	2	yes	maximal
2	C₈×D₉₇	C₂	1	1	yes	maximal, characteristic
3	C₂×#87604	—	2	2	no	—
4	C₄×D₉₇	C₂²	1	1	yes	characteristic
5	C₈×C₉₇	C₄	1	1	yes	characteristic, complemented
6	#11715895	C₄	1	1	yes	characteristic, complemented
7	C₂×D₉₇	D₄	1	1	yes	characteristic
8	#87604	—	4	2	no	—
9	C₄×C₉₇	C₂×C₄	1	1	yes	characteristic
10	Dic₉₇	Q₈	1	1	yes	characteristic
11	C₂×C₉₇	C₄⋊C₄	1	1	yes	characteristic
12	D₉₇	SD₁₆	1	2	yes	—
13	C₉₇	#106	1	1	yes	characteristic, complemented, Sylow
14	#106	—	97	1	no	maximal, Sylow
15	C₂×C₈	—	97	1	no	—
16	C₄⋊C₄	—	97	2	no	—
17	C₂×C₄	—	97	1	no	—
18	C₂×C₄	—	194	2	no	—
19	C₈	—	97	1	no	—
20	C₈	#87604	1	1	yes	characteristic, complemented
21	C₂²	—	97	1	no	—
22	C₄	—	97	1	no	—
23	C₄	—	388	2	no	—
24	C₄	C₂×#87604	1	1	yes	characteristic
25	C₂	—	97	2	no	—
26	C₂	C₄⋊#87604	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.