Subgroups — #14270983

Order 1856.

46 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×M₃₂	C₂	1	1	yes	maximal, characteristic
2	C₈×Dic₂₉	C₂	1	1	yes	maximal, characteristic
3	#11745160	C₂	1	1	yes	maximal, characteristic
4	C₂×C₈×C₂₉	C₂²	1	1	yes	characteristic
5	C₄×Dic₂₉	C₄	1	1	yes	characteristic
6	C₂×#6597	C₄	1	1	yes	characteristic
7	C₁₆×C₂₉	—	2	1	no	—
8	#90768	—	2	1	no	—
9	C₂×C₄×C₂₉	C₂×C₄	1	1	yes	characteristic
10	C₂×Dic₂₉	—	2	1	no	—
11	C₈×C₂₉	D₄	1	1	yes	characteristic
12	C₈×C₂₉	Q₈	1	1	yes	characteristic
13	#6597	C₈	1	2	yes	—
14	C₂²×C₂₉	M₁₆	1	1	yes	characteristic
15	C₄×C₂₉	C₄⋊C₄	1	1	yes	characteristic
16	C₄×C₂₉	C₂×C₈	1	1	yes	characteristic
17	Dic₂₉	—	2	2	no	—
18	#364	—	29	1	no	maximal, Sylow
19	C₂×C₂₉	—	2	1	no	—
20	C₂×C₂₉	C₄⋊C₈	1	1	yes	characteristic
21	M₃₂	—	29	1	no	—
22	M₃₂	D₂₉	1	1	yes	characteristic
23	C₄×C₈	—	29	1	no	—
24	C₂₉	#364	1	1	yes	characteristic, complemented, Sylow
25	C₂×C₈	—	29	1	no	—
26	C₂×C₈	C₂×D₂₉	1	1	yes	characteristic
27	C₄²	—	29	1	no	—
28	C₁₆	—	2	1	no	—
29	C₁₆	—	58	1	no	—
30	C₂×C₄	—	58	1	no	—
31	C₂×C₄	C₄×D₂₉	1	1	yes	characteristic
32	C₈	—	29	2	no	—
33	C₈	Dic₅₈	1	1	yes	characteristic
34	C₈	C₂²⋊D₂₉	1	1	yes	characteristic
35	C₂²	#90772	1	1	yes	characteristic
36	C₄	—	58	2	no	—
37	C₄	C₈×D₂₉	1	1	yes	characteristic
38	C₄	#90779	1	1	yes	characteristic
39	C₂	—	2	1	no	—
40	C₂	#11745162	1	1	yes	characteristic

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

N	H ≅ G/N	type
24. C₂₉	#364	semidirect

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