Subgroups — #37612935

Order 24736.

26 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	Dic₃₀₉₂	C₂	1	1	yes	maximal, characteristic, complemented
2	D₆₁₈₄	C₂	1	1	yes	maximal, characteristic
3	C₁₆×C₇₇₃	C₂	1	1	yes	maximal, characteristic, complemented
4	Dic₁₅₄₆	—	2	1	no	—
5	D₃₀₉₂	—	2	1	no	—
6	C₈×C₇₇₃	C₂²	1	1	yes	characteristic
7	C₂×D₇₇₃	—	4	1	no	—
8	C₄×C₇₇₃	D₄	1	1	yes	characteristic
9	Dic₇₇₃	—	4	1	no	—
10	C₂×C₇₇₃	D₈	1	1	yes	characteristic
11	D₇₇₃	—	8	1	no	—
12	C₇₇₃	SD₃₂	1	1	yes	characteristic, complemented, Sylow
13	SD₃₂	—	773	1	no	maximal, Sylow
14	Q₁₆	—	773	1	no	—
15	D₈	—	773	1	no	—
16	C₁₆	D₇₇₃	1	1	yes	characteristic, complemented
17	Q₈	—	1546	1	no	—
18	D₄	—	1546	1	no	—
19	C₈	C₂×D₇₇₃	1	1	yes	characteristic
20	C₂²	—	3092	1	no	—
21	C₄	—	3092	1	no	—
22	C₄	D₃₀₉₂	1	1	yes	characteristic
23	C₂	—	6184	1	no	—
24	C₂	D₆₁₈₄	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.