Subgroups — C₂₉×#11760329 #44475643

Order 30276.

82 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉×C₃⋊D₈₇	C₂	1	1	yes	maximal, characteristic
2	C₃²×C₂₉²	C₄	1	1	yes	characteristic, complemented, Hall
3	C₂₉×D₈₇	—	6	2	no	—
4	C₂₉×#1181	—	9	1	no	maximal, Hall
5	C₃×C₂₉²	—	2	2	no	—
6	C₂₉×D₂₉	—	9	1	no	—
7	#11760329	C₂₉	1	1	yes	maximal, characteristic, direct product factor
8	C₂₉×#157	—	29	1	no	maximal
9	C₂₉²	#157	1	1	yes	characteristic, complemented, Sylow
10	C₃⋊D₈₇	C₂×C₂₉	1	1	yes	characteristic
11	C₃⋊D₃×C₂₉	—	29	1	no	—
12	C₃²×C₂₉	—	4	7	no	—
13	C₃²×C₂₉	C₄×C₂₉	1	1	yes	characteristic, complemented
14	C₃²×C₂₉	#1181	1	1	yes	characteristic, complemented
15	D₈₇	—	6	2	no	—
16	D₃×C₂₉	—	174	2	no	—
17	#1181	—	9	1	no	—
18	C₄×C₂₉	—	261	1	no	—
19	C₃×C₂₉	—	2	2	no	—
20	C₃×C₂₉	—	2	2	no	—
21	C₃×C₂₉	—	4	28	no	—
22	C₂×C₂₉	—	261	1	no	—
23	D₂₉	—	9	1	no	—
24	#157	—	29	1	no	Hall
25	C₂₉	—	4	7	no	—
26	C₂₉	C₂₉×#157	1	1	yes	characteristic, complemented
27	C₂₉	#11760329	1	1	yes	characteristic, direct product factor
28	C₃⋊D₃	—	29	1	no	—
29	C₃²	C₂₉×#1181	1	1	yes	characteristic, complemented, Sylow
30	D₃	—	174	2	no	—
31	C₄	—	261	1	no	Sylow
32	C₃	—	2	2	no	—
33	C₂	—	261	1	no	—

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.