Subgroups — C₂×#14578964 #19097857

Order 5024.

68 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#14578964	C₂	1	4	yes	maximal, direct product factor
2	C₂×#11929441	C₂	1	2	yes	maximal, complemented
3	C₂×C₄×D₁₅₇	C₂	1	1	yes	maximal, characteristic
4	#11929441	C₂²	1	4	yes	complemented
5	C₂²×D₁₅₇	C₄	1	1	yes	characteristic
6	C₂×Dic₁₅₇	C₂²	1	1	yes	characteristic
7	C₄×D₁₅₇	C₄	1	2	yes	—
8	C₄×D₁₅₇	C₂²	1	2	yes	—
9	C₂×C₄×C₁₅₇	C₄	1	1	yes	characteristic
10	C₂²×C₁₅₇	C₂×C₄	1	1	yes	characteristic
11	C₂×D₁₅₇	—	2	2	no	—
12	C₂×D₁₅₇	C₂×C₄	1	2	yes	—
13	C₄×C₁₅₇	C₂×C₄	1	2	yes	—
14	Dic₁₅₇	C₂×C₄	1	1	yes	characteristic
15	Dic₁₅₇	C₂³	1	1	yes	characteristic
16	C₂×C₁₅₇	M₁₆	1	2	yes	complemented
17	C₂×C₁₅₇	C₂²×C₄	1	1	yes	characteristic
18	D₁₅₇	—	2	2	no	—
19	C₁₅₇	C₂×M₁₆	1	1	yes	characteristic, complemented, Sylow
20	C₂×M₁₆	—	157	1	no	maximal, Sylow
21	C₂²×C₄	—	157	1	no	—
22	M₁₆	—	157	4	no	—
23	C₂×C₈	—	157	2	no	—
24	C₂³	—	157	1	no	—
25	C₂×C₄	—	157	1	no	—
26	C₂×C₄	—	157	2	no	—
27	C₂×C₄	—	157	2	no	—
28	C₂×C₄	#10597845	1	1	yes	characteristic
29	C₈	—	157	4	no	—
30	C₂²	—	314	2	no	—
31	C₂²	—	157	2	no	—
32	C₂²	C₂×#10597845	1	1	yes	characteristic
33	C₄	—	157	1	no	—
34	C₄	—	157	1	no	—
35	C₄	C₂×#10597845	1	2	yes	—
36	C₂	—	314	2	no	—
37	C₂	#14578964	1	2	yes	direct product factor
38	C₂	C₂²×#10597845	1	1	yes	characteristic

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