Subgroups — #11745271

Order 928.

60 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#90805	C₂	1	1	yes	maximal, characteristic
2	C₂×Dic₅₈	C₂	1	1	yes	maximal, characteristic, complemented
3	M₁₆×C₂₉	C₂	1	1	yes	maximal, characteristic, complemented
4	Dic₁₁₆	C₂	1	2	yes	maximal, complemented
5	#90773	C₂	1	2	yes	maximal, complemented
6	C₂×C₄×C₂₉	C₂²	1	1	yes	characteristic
7	C₂²⋊D₂₉	—	2	1	no	—
8	C₂×Dic₂₉	—	2	1	no	—
9	D₁₁₆	C₂²	1	1	yes	characteristic
10	C₄×D₂₉	—	2	1	no	—
11	Dic₅₈	—	2	1	no	—
12	Dic₅₈	C₂²	1	2	yes	—
13	Dic₅₈	C₂²	1	1	yes	characteristic
14	C₈×C₂₉	C₂²	1	2	yes	—
15	C₂²×C₂₉	D₄	1	1	yes	characteristic
16	C₂×D₂₉	—	2	1	no	—
17	C₄×C₂₉	D₄	1	1	yes	characteristic
18	C₄×C₂₉	C₂³	1	1	yes	characteristic
19	Dic₂₉	—	2	2	no	—
20	Dic₂₉	—	2	1	no	—
21	C₂×C₂₉	—	2	1	no	—
22	C₂×C₂₉	C₂×D₄	1	1	yes	characteristic
23	D₂₉	—	4	1	no	—
24	#137	—	29	1	no	maximal, Sylow
25	C₂₉	#137	1	1	yes	characteristic, complemented, Sylow
26	#41	—	29	1	no	—
27	C₂×Q₈	—	29	1	no	—
28	Q₁₆	—	29	2	no	—
29	SD₁₆	—	29	2	no	—
30	M₁₆	D₂₉	1	1	yes	characteristic, complemented
31	Q₈	—	29	2	no	—
32	Q₈	—	29	1	no	—
33	Q₈	—	58	1	no	—
34	D₄	—	29	1	no	—
35	D₄	—	58	1	no	—
36	C₂×C₄	—	58	1	no	—
37	C₂×C₄	—	58	1	no	—
38	C₂×C₄	C₂×D₂₉	1	1	yes	characteristic
39	C₈	C₂×D₂₉	1	2	yes	—
40	C₂²	—	58	1	no	—
41	C₂²	D₁₁₆	1	1	yes	characteristic
42	C₄	—	58	1	no	—
43	C₄	—	58	2	no	—
44	C₄	D₁₁₆	1	1	yes	characteristic
45	C₄	C₂²×D₂₉	1	1	yes	characteristic
46	C₂	—	2	1	no	—
47	C₂	—	116	1	no	—
48	C₂	C₂×D₁₁₆	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.