Subgroups — #20261819

Order 6208.

66 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×#11715906	C₂	1	2	yes	maximal
2	C₈×#87604	C₂	1	1	yes	maximal, characteristic
3	C₂×#11715906	C₄	1	4	yes	—
4	#13095519	C₄	1	1	yes	characteristic
5	C₄×#87604	C₂²	1	1	yes	characteristic
6	C₈×D₉₇	C₄	1	1	yes	characteristic
7	C₂×#87604	C₂×C₄	1	2	yes	—
8	#11715906	—	2	4	no	—
9	C₄×D₉₇	C₂×C₄	1	1	yes	characteristic
10	#11715897	C₈	1	2	yes	complemented
11	C₈×C₉₇	C₈	1	1	yes	characteristic, complemented
12	#11715895	C₈	1	1	yes	characteristic, complemented
13	C₂×D₉₇	C₄²	1	1	yes	characteristic
14	#87604	M₁₆	1	4	yes	—
15	C₄×C₉₇	C₂×C₈	1	1	yes	characteristic
16	Dic₉₇	C₂×C₈	1	1	yes	characteristic
17	C₂×C₉₇	C₄×C₈	1	1	yes	characteristic
18	D₉₇	#97	1	2	yes	—
19	C₉₇	#322	1	1	yes	characteristic, complemented, Sylow
20	#322	—	97	1	no	maximal, Sylow
21	C₄×C₈	—	97	1	no	—
22	C₄×C₈	—	97	2	no	—
23	C₂×C₈	—	97	1	no	—
24	C₂×C₈	—	97	1	no	—
25	C₂×C₈	—	97	4	no	—
26	C₄²	—	97	1	no	—
27	C₂×C₄	—	97	2	no	—
28	C₂×C₄	—	97	1	no	—
29	C₈	—	97	2	no	—
30	C₈	—	97	1	no	—
31	C₈	—	194	4	no	—
32	C₈	#11715906	1	1	yes	characteristic, complemented
33	C₂²	—	97	1	no	—
34	C₄	—	97	4	no	—
35	C₄	—	97	1	no	—
36	C₄	C₂×#11715906	1	1	yes	characteristic
37	C₂	—	97	2	no	—
38	C₂	C₄×#11715906	1	1	yes	characteristic

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