Subgroups — C₄⋊#13095525 #20261862

Order 6208.

50 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#13095525	C₂	1	2	yes	maximal
2	C₄×#11715906	C₂	1	1	yes	maximal, characteristic
3	#13095525	—	2	2	no	—
4	C₂×#11715906	C₄	1	1	yes	characteristic
5	C₂×#11715906	C₂²	1	1	yes	characteristic
6	C₄×#87604	C₄	1	1	yes	characteristic
7	C₂×#87604	C₈	1	1	yes	characteristic
8	C₂×#87604	C₂×C₄	1	1	yes	characteristic
9	#11715906	—	2	1	no	—
10	#11715906	D₄	1	1	yes	characteristic
11	#11715906	Q₈	1	1	yes	characteristic
12	C₄×D₉₇	C₈	1	1	yes	characteristic
13	C₂×D₉₇	C₂×C₈	1	1	yes	characteristic
14	#87604	—	2	1	no	—
15	#87604	C₄⋊C₄	1	1	yes	characteristic
16	#87604	M₁₆	1	1	yes	characteristic
17	C₄×C₉₇	C₁₆	1	1	yes	characteristic, complemented
18	Dic₉₇	C₁₆	1	1	yes	characteristic, complemented
19	C₂×C₉₇	C₂×C₁₆	1	1	yes	characteristic
20	D₉₇	C₄⋊C₈	1	1	yes	characteristic
21	D₉₇	M₃₂	1	1	yes	characteristic
22	C₉₇	C₄⋊C₁₆	1	1	yes	characteristic, complemented, Sylow
23	C₄⋊C₁₆	—	97	1	no	maximal, Sylow
24	C₂×C₁₆	—	97	2	no	—
25	C₄×C₈	—	97	1	no	—
26	C₂×C₈	—	97	1	no	—
27	C₂×C₈	—	97	1	no	—
28	C₄²	—	97	1	no	—
29	C₁₆	—	194	2	no	—
30	C₂×C₄	—	97	1	no	—
31	C₂×C₄	—	97	1	no	—
32	C₂×C₄	—	97	1	no	—
33	C₈	—	97	1	no	—
34	C₈	—	97	1	no	—
35	C₈	—	194	1	no	—
36	C₂²	—	97	1	no	—
37	C₄	—	97	1	no	—
38	C₄	—	97	1	no	—
39	C₄	—	97	1	no	—
40	C₄	—	194	1	no	—
41	C₄	#13095525	1	1	yes	characteristic, complemented
42	C₂	—	97	1	no	—
43	C₂	—	97	1	no	—
44	C₂	C₂×#13095525	1	1	yes	characteristic

Splittings G = N ⋊ H with N normal; H ≅ G/N.