Subgroups — #13092794

Order 1472.

162 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₁₈₄	C₂	1	4	yes	maximal, complemented
2	#10625045	C₂	1	2	yes	maximal, complemented
3	C₄×C₈×C₂₃	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×D₉₂	—	2	4	no	—
5	C₂×D₉₂	C₂²	1	4	yes	—
6	C₂×C₈×C₂₃	C₂²	1	2	yes	—
7	C₄²×C₂₃	C₂²	1	1	yes	characteristic
8	D₁₈₄	—	2	8	no	—
9	C₂²×D₂₃	—	2	4	no	—
10	C₂×C₄×C₂₃	D₄	1	2	yes	—
11	C₂×C₄×C₂₃	C₂³	1	1	yes	characteristic
12	D₉₂	—	2	8	no	—
13	D₉₂	—	4	8	no	—
14	C₈×C₂₃	D₄	1	4	yes	complemented
15	C₂²×C₂₃	C₂×D₄	1	1	yes	characteristic
16	C₂×D₂₃	—	4	4	no	—
17	C₂×D₂₃	—	4	8	no	—
18	C₄×C₂₃	D₈	1	4	yes	complemented
19	C₄×C₂₃	C₂×D₄	1	2	yes	—
20	#493	—	23	1	no	maximal, Sylow
21	C₂×C₂₃	#127	1	1	yes	characteristic
22	C₂×C₂₃	C₂×D₈	1	2	yes	—
23	D₂₃	—	8	4	no	—
24	C₂×D₈	—	23	4	no	—
25	#127	—	23	2	no	—
26	C₄×C₈	D₂₃	1	1	yes	characteristic, complemented
27	C₂₃	#493	1	1	yes	characteristic, complemented, Sylow
28	C₂×D₄	—	23	4	no	—
29	C₂×D₄	—	46	4	no	—
30	D₈	—	46	8	no	—
31	C₂×C₈	C₂×D₂₃	1	2	yes	—
32	C₄²	C₂×D₂₃	1	1	yes	characteristic
33	C₂³	—	46	4	no	—
34	D₄	—	46	8	no	—
35	D₄	—	92	8	no	—
36	C₂×C₄	D₉₂	1	2	yes	—
37	C₂×C₄	C₂²×D₂₃	1	1	yes	characteristic
38	C₈	D₉₂	1	4	yes	complemented
39	C₂²	—	92	4	no	—
40	C₂²	—	92	8	no	—
41	C₂²	C₂×D₉₂	1	1	yes	characteristic
42	C₄	D₁₈₄	1	4	yes	complemented
43	C₄	C₂×D₉₂	1	2	yes	—
44	C₂	—	184	4	no	—
45	C₂	#10625045	1	1	yes	characteristic
46	C₂	C₂×D₁₈₄	1	2	yes	—

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.