Subgroups — (C₂×#87604)⋊C₄ #15690861

Order 3104.

76 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#87604	C₂	1	2	yes	maximal
2	C₂×C₄×D₉₇	C₂	1	1	yes	maximal, characteristic
3	C₂²×D₉₇	C₂²	1	1	yes	characteristic
4	C₂×#87604	—	2	2	no	—
5	C₂×#87604	—	2	2	no	—
6	C₂×#87604	C₄	1	4	yes	complemented
7	C₂×C₄×C₉₇	C₄	1	1	yes	characteristic, complemented
8	C₂×Dic₉₇	C₄	1	1	yes	characteristic, complemented
9	C₄×D₉₇	—	2	2	no	—
10	C₂²×C₉₇	C₂×C₄	1	1	yes	characteristic
11	C₂×D₉₇	C₂×C₄	1	2	yes	—
12	C₂×D₉₇	D₄	1	1	yes	characteristic
13	C₂×D₉₇	D₄	1	2	yes	—
14	C₂×D₉₇	Q₈	1	1	yes	characteristic
15	#87604	—	2	4	no	—
16	C₄×C₉₇	—	2	1	no	—
17	Dic₉₇	—	2	1	no	—
18	C₂×C₉₇	C₄²	1	1	yes	characteristic
19	C₂×C₉₇	C₂²⋊C₄	1	1	yes	characteristic
20	C₂×C₉₇	C₄⋊C₄	1	1	yes	characteristic
21	D₉₇	C₂²⋊C₄	1	2	yes	—
22	D₉₇	C₄⋊C₄	1	2	yes	—
23	C₉₇	#95	1	1	yes	characteristic, complemented, Sylow
24	#95	—	97	1	no	maximal, Sylow
25	C₂²×C₄	—	97	2	no	—
26	C₂²×C₄	—	97	1	no	—
27	C₂³	—	97	1	no	—
28	C₂×C₄	—	97	4	no	—
29	C₂×C₄	—	97	1	no	—
30	C₂×C₄	—	194	2	no	—
31	C₂×C₄	—	194	2	no	—
32	C₂×C₄	—	194	2	no	—
33	C₂×C₄	#87604	1	1	yes	characteristic, complemented
34	C₂²	—	97	2	no	—
35	C₂²	—	97	2	no	—
36	C₂²	—	97	1	no	—
37	C₂²	—	97	1	no	—
38	C₂²	C₂×#87604	1	1	yes	characteristic
39	C₄	—	2	1	no	—
40	C₄	—	194	4	no	—
41	C₄	—	194	1	no	—
42	C₂	—	97	2	no	—
43	C₂	—	97	2	no	—
44	C₂	C₄×#87604	1	1	yes	characteristic
45	C₂	C₂²⋊#87604	1	1	yes	characteristic
46	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.