Subgroups — #21444035

Order 7808.

38 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	Dic₉₇₆	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₉₅₂	C₂	1	1	yes	maximal, characteristic
3	C₆₁×C₆₄	C₂	1	1	yes	maximal, characteristic, complemented
4	Dic₄₈₈	—	2	1	no	—
5	D₉₇₆	—	2	1	no	—
6	C₃₂×C₆₁	C₂²	1	1	yes	characteristic
7	Dic₂₄₄	—	4	1	no	—
8	D₄₈₈	—	4	1	no	—
9	C₁₆×C₆₁	D₄	1	1	yes	characteristic
10	D₂₄₄	—	8	1	no	—
11	Dic₁₂₂	—	8	1	no	—
12	C₈×C₆₁	D₈	1	1	yes	characteristic
13	C₂×D₆₁	—	16	1	no	—
14	C₄×C₆₁	D₁₆	1	1	yes	characteristic
15	Dic₆₁	—	16	1	no	—
16	SD₁₂₈	—	61	1	no	maximal, Sylow
17	C₂×C₆₁	D₃₂	1	1	yes	characteristic
18	D₆₁	—	32	1	no	—
19	Q₆₄	—	61	1	no	—
20	D₃₂	—	61	1	no	—
21	C₆₄	D₆₁	1	1	yes	characteristic, complemented
22	C₆₁	SD₁₂₈	1	1	yes	characteristic, complemented, Sylow
23	Q₃₂	—	122	1	no	—
24	D₁₆	—	122	1	no	—
25	C₃₂	C₂×D₆₁	1	1	yes	characteristic
26	Q₁₆	—	244	1	no	—
27	D₈	—	244	1	no	—
28	C₁₆	D₂₄₄	1	1	yes	characteristic
29	Q₈	—	488	1	no	—
30	D₄	—	488	1	no	—
31	C₈	D₄₈₈	1	1	yes	characteristic
32	C₂²	—	976	1	no	—
33	C₄	—	976	1	no	—
34	C₄	D₉₇₆	1	1	yes	characteristic
35	C₂	—	1952	1	no	—
36	C₂	D₁₉₅₂	1	1	yes	characteristic

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