Subgroups — #20260562

Order 6208.

46 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#13095486	C₂	1	1	yes	maximal, characteristic
2	#15690744	C₂	1	1	yes	maximal, characteristic
3	#107×C₉₇	C₂	1	1	yes	maximal, characteristic
4	C₄⋊Dic₉₇	—	2	1	no	—
5	#13095486	C₄	1	2	yes	complemented
6	C₂×C₈×C₉₇	C₂²	1	1	yes	characteristic
7	C₄⋊C₄×C₉₇	—	2	1	no	—
8	C₂×C₄×C₉₇	—	4	1	no	—
9	C₂×C₄×C₉₇	D₄	1	1	yes	characteristic
10	C₂×Dic₉₇	—	4	1	no	—
11	C₈×C₉₇	C₂×C₄	1	1	yes	characteristic
12	C₈×C₉₇	Q₈	1	1	yes	characteristic
13	C₂²×C₉₇	D₈	1	1	yes	characteristic
14	C₄×C₉₇	—	8	1	no	—
15	C₄×C₉₇	C₄⋊C₄	1	1	yes	characteristic
16	C₄×C₉₇	Q₁₆	1	1	yes	characteristic
17	Dic₉₇	—	8	1	no	—
18	C₂×C₉₇	#107	1	1	yes	characteristic
19	C₂×C₉₇	SD₃₂	1	1	yes	characteristic
20	C₂×C₉₇	SD₃₂	1	1	yes	characteristic
21	C₉₇	#367	1	1	yes	characteristic, complemented, Sylow
22	#367	—	97	1	no	maximal, Sylow
23	C₂×C₁₆	—	97	1	no	—
24	#107	—	97	1	no	—
25	#107	D₉₇	1	1	yes	characteristic
26	C₂×C₈	C₂×D₉₇	1	1	yes	characteristic
27	C₄⋊C₄	—	2	1	no	—
28	C₄⋊C₄	—	194	1	no	—
29	C₁₆	—	97	2	no	—
30	C₂×C₄	—	4	1	no	—
31	C₂×C₄	—	388	1	no	—
32	C₂×C₄	C₂²⋊D₉₇	1	1	yes	characteristic
33	C₈	Dic₁₉₄	1	1	yes	characteristic
34	C₈	C₄×D₉₇	1	1	yes	characteristic
35	C₂²	#13095496	1	1	yes	characteristic
36	C₄	—	8	1	no	—
37	C₄	—	776	1	no	—
38	C₄	#13095490	1	1	yes	characteristic
39	C₄	#13095501	1	1	yes	characteristic
40	C₂	#15690743	1	1	yes	characteristic
41	C₂	#15690753	1	1	yes	characteristic
42	C₂	#15690754	1	1	yes	characteristic

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

N	H ≅ G/N	type
5. #13095486	C₄	semidirect
21. C₉₇	#367	semidirect