Subgroups — #38737901

Order 25184.

36 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄⋊Dic₇₈₇	C₂	1	2	yes	maximal
2	C₂×C₈×C₇₈₇	C₂	1	1	yes	maximal, characteristic
3	C₂×Dic₇₈₇	—	2	2	no	—
4	C₂×C₄×C₇₈₇	C₂²	1	1	yes	characteristic
5	C₈×C₇₈₇	C₄	1	2	yes	complemented
6	C₂²×C₇₈₇	D₄	1	1	yes	characteristic
7	C₄×C₇₈₇	C₂×C₄	1	1	yes	characteristic
8	C₄×C₇₈₇	Q₈	1	1	yes	characteristic
9	Dic₇₈₇	—	4	2	no	—
10	C₂×C₇₈₇	C₄⋊C₄	1	1	yes	characteristic
11	C₂×C₇₈₇	D₈	1	1	yes	characteristic
12	C₂×C₇₈₇	Q₁₆	1	1	yes	characteristic
13	C₇₈₇	#107	1	1	yes	characteristic, complemented, Sylow
14	#107	—	787	1	no	maximal, Sylow
15	C₂×C₈	D₇₈₇	1	1	yes	characteristic
16	C₄⋊C₄	—	787	2	no	—
17	C₂×C₄	—	1574	2	no	—
18	C₂×C₄	C₂×D₇₈₇	1	1	yes	characteristic
19	C₈	Dic₇₈₇	1	2	yes	complemented
20	C₂²	D₃₁₄₈	1	1	yes	characteristic
21	C₄	—	3148	2	no	—
22	C₄	C₂×Dic₇₈₇	1	1	yes	characteristic
23	C₄	Dic₁₅₇₄	1	1	yes	characteristic
24	C₂	C₄⋊Dic₇₈₇	1	1	yes	characteristic
25	C₂	D₆₂₉₆	1	1	yes	characteristic
26	C₂	Dic₃₁₄₈	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.