Subgroups — #14270980

Order 1856.

54 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×Dic₁₁₆	C₂	1	1	yes	maximal, characteristic
2	C₂₉×M₃₂	C₂	1	1	yes	maximal, characteristic
3	#11745167	C₂	1	1	yes	maximal, characteristic
4	C₂×Dic₅₈	—	2	1	no	—
5	C₂×C₈×C₂₉	C₂²	1	1	yes	characteristic
6	#90777	—	2	1	no	—
7	Dic₁₁₆	—	2	1	no	—
8	Dic₁₁₆	C₄	1	2	yes	—
9	C₁₆×C₂₉	—	2	1	no	—
10	C₂×C₄×C₂₉	D₄	1	1	yes	characteristic
11	C₂×Dic₂₉	—	4	1	no	—
12	Dic₅₈	—	2	2	no	—
13	Dic₅₈	—	4	1	no	—
14	C₈×C₂₉	C₂×C₄	1	1	yes	characteristic
15	C₈×C₂₉	D₄	1	1	yes	characteristic
16	#6597	—	4	1	no	—
17	C₂²×C₂₉	SD₁₆	1	1	yes	characteristic
18	C₄×C₂₉	C₂²⋊C₄	1	1	yes	characteristic
19	C₄×C₂₉	D₈	1	1	yes	characteristic
20	Dic₂₉	—	4	2	no	—
21	#362	—	29	1	no	maximal, Sylow
22	C₂×C₂₉	—	2	1	no	—
23	C₂×C₂₉	#102	1	1	yes	characteristic
24	C₂×Q₁₆	—	29	1	no	—
25	M₃₂	D₂₉	1	1	yes	characteristic
26	#108	—	29	1	no	—
27	C₂₉	#362	1	1	yes	characteristic, complemented, Sylow
28	C₂×Q₈	—	58	1	no	—
29	Q₁₆	—	29	2	no	—
30	Q₁₆	—	58	1	no	—
31	M₁₆	—	58	1	no	—
32	C₂×C₈	C₂×D₂₉	1	1	yes	characteristic
33	C₁₆	—	2	1	no	—
34	Q₈	—	58	2	no	—
35	Q₈	—	116	1	no	—
36	C₂×C₄	—	116	1	no	—
37	C₂×C₄	D₁₁₆	1	1	yes	characteristic
38	C₈	—	116	1	no	—
39	C₈	C₄×D₂₉	1	1	yes	characteristic
40	C₈	C₂²⋊D₂₉	1	1	yes	characteristic
41	C₂²	#90773	1	1	yes	characteristic
42	C₄	—	116	2	no	—
43	C₄	D₂₃₂	1	1	yes	characteristic
44	C₄	#90781	1	1	yes	characteristic
45	C₂	—	2	1	no	—
46	C₂	#11745169	1	1	yes	characteristic

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

N	H ≅ G/N	type
27. C₂₉	#362	semidirect

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.