Subgroups — #19097825

Order 5024.

40 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₅₇⋊C₈	C₂	1	1	yes	maximal, characteristic
2	C₄×#10597845	C₂	1	1	yes	maximal, characteristic
3	C₈×D₁₅₇	C₂	1	1	yes	maximal, characteristic
4	C₂×#10597845	C₄	1	2	yes	—
5	#11929441	C₄	1	2	yes	complemented
6	C₄×D₁₅₇	C₂²	1	1	yes	characteristic
7	#11929434	C₄	1	1	yes	characteristic, complemented
8	C₈×C₁₅₇	C₄	1	1	yes	characteristic, complemented
9	C₂×D₁₅₇	C₂×C₄	1	1	yes	characteristic
10	#10597845	—	2	2	no	—
11	C₄×C₁₅₇	C₂×C₄	1	1	yes	characteristic
12	Dic₁₅₇	C₂×C₄	1	1	yes	characteristic
13	C₂×C₁₅₇	C₄²	1	1	yes	characteristic
14	D₁₅₇	M₁₆	1	2	yes	—
15	C₁₅₇	#97	1	1	yes	characteristic, complemented, Sylow
16	#97	—	157	1	no	maximal, Sylow
17	C₂×C₈	—	157	1	no	—
18	C₂×C₈	—	157	1	no	—
19	C₄²	—	157	1	no	—
20	C₂×C₄	—	157	2	no	—
21	C₂×C₄	—	157	1	no	—
22	C₈	—	157	2	no	—
23	C₈	—	157	1	no	—
24	C₈	#10597845	1	1	yes	characteristic, complemented
25	C₂²	—	157	1	no	—
26	C₄	—	314	2	no	—
27	C₄	—	157	1	no	—
28	C₄	C₂×#10597845	1	1	yes	characteristic
29	C₂	—	157	2	no	—
30	C₂	C₄×#10597845	1	1	yes	characteristic

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