Subgroups — C₃×Dic₁₅₂₉ #32913402

Order 18348.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×C₁₁×C₁₃₉	C₂	1	1	yes	maximal, characteristic
2	Dic₁₅₂₉	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
3	C₃×C₁₁×C₁₃₉	C₄	1	1	yes	characteristic, complemented, Hall
4	C₂×C₁₁×C₁₃₉	C₂×C₃	1	1	yes	characteristic
5	C₃×Dic₁₃₉	—	11	1	no	maximal, Hall
6	C₁₁×C₁₃₉	C₃×C₄	1	1	yes	characteristic, complemented, Hall
7	C₂×C₃×C₁₃₉	D₁₁	1	1	yes	characteristic
8	Dic₁₃₉	—	11	1	no	Hall
9	C₃×C₁₃₉	Dic₁₁	1	1	yes	characteristic, complemented, Hall
10	C₂×C₁₃₉	C₃×D₁₁	1	1	yes	characteristic
11	C₁₃₉	C₃×Dic₁₁	1	1	yes	characteristic, complemented, Sylow
12	C₃×Dic₁₁	—	139	1	no	maximal, Hall
13	C₂×C₃×C₁₁	D₁₃₉	1	1	yes	characteristic
14	Dic₁₁	—	139	1	no	Hall
15	C₃×C₁₁	Dic₁₃₉	1	1	yes	characteristic, complemented, Hall
16	C₂×C₁₁	C₃×D₁₃₉	1	1	yes	characteristic
17	C₃×C₄	—	1529	1	no	Hall
18	C₁₁	C₃×Dic₁₃₉	1	1	yes	characteristic, complemented, Sylow
19	C₂×C₃	D₁₅₂₉	1	1	yes	characteristic
20	C₄	—	1529	1	no	Sylow
21	C₃	Dic₁₅₂₉	1	1	yes	characteristic, direct product factor, Sylow
22	C₂	C₃×D₁₅₂₉	1	1	yes	characteristic

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.