Subgroups — C₂₉×C₇⋊#1181 #37555464

Order 23548.

38 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×C₂₉×D₂₉	C₂	1	1	yes	maximal, characteristic
2	C₇×C₂₉²	C₄	1	1	yes	characteristic, complemented, Hall
3	C₂₉×#1181	—	7	1	no	maximal, Hall
4	C₂₉×D₂₉	D₇	1	1	yes	characteristic
5	C₂₉²	Dic₇	1	1	yes	characteristic, complemented, Sylow
6	C₇⋊#1181	C₂₉	1	1	yes	maximal, characteristic, direct product factor
7	Dic₇×C₂₉	—	29	1	no	maximal
8	C₂×C₇×C₂₉	—	29	1	no	—
9	C₇×D₂₉	C₂×C₂₉	1	1	yes	characteristic
10	C₇×C₂₉	—	4	7	no	—
11	C₇×C₂₉	C₄×C₂₉	1	1	yes	characteristic, complemented
12	C₇×C₂₉	#1181	1	1	yes	characteristic, complemented
13	#1181	—	7	1	no	—
14	C₄×C₂₉	—	203	1	no	—
15	C₂×C₂₉	—	29	1	no	—
16	D₂₉	D₇×C₂₉	1	1	yes	characteristic
17	C₂₉	—	4	7	no	—
18	C₂₉	Dic₇×C₂₉	1	1	yes	characteristic, complemented
19	C₂₉	C₇⋊#1181	1	1	yes	characteristic, direct product factor
20	Dic₇	—	29	1	no	Hall
21	C₂×C₇	—	29	1	no	—
22	C₇	C₂₉×#1181	1	1	yes	characteristic, complemented, Sylow
23	C₄	—	203	1	no	Sylow
24	C₂	—	29	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.