Subgroups — C₃×#26043934 #47975813

Order 35148.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×D₂₉₂₉	C₂	1	1	yes	maximal, characteristic
2	#26043934	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
3	C₃×C₂₉×C₁₀₁	C₄	1	1	yes	characteristic, complemented, Hall
4	D₂₉₂₉	C₂×C₃	1	1	yes	characteristic
5	C₂₉×C₁₀₁	C₃×C₄	1	1	yes	characteristic, complemented, Hall
6	C₃×#87938	—	29	1	no	maximal, Hall
7	C₃×D₁₀₁	—	29	1	no	—
8	#87938	—	29	1	no	Hall
9	C₃×#1181	—	101	1	no	maximal, Hall
10	C₃×C₁₀₁	#1181	1	1	yes	characteristic, complemented, Hall
11	D₁₀₁	—	29	1	no	—
12	C₃×D₂₉	—	101	1	no	—
13	#1181	—	101	1	no	Hall
14	C₁₀₁	C₃×#1181	1	1	yes	characteristic, complemented, Sylow
15	C₃×C₂₉	#87938	1	1	yes	characteristic, complemented, Hall
16	D₂₉	—	101	1	no	—
17	C₂₉	C₃×#87938	1	1	yes	characteristic, complemented, Sylow
18	C₃×C₄	—	2929	1	no	Hall
19	C₂×C₃	—	2929	1	no	—
20	C₄	—	2929	1	no	Sylow
21	C₃	#26043934	1	1	yes	characteristic, direct product factor, Sylow
22	C₂	—	2929	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.