Subgroups — C₁₀₃×Dic₉₃ #50305142

Order 38316.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×C₃₁×C₁₀₃	C₂	1	1	yes	maximal, characteristic
2	C₁₀₃×Dic₃₁	—	3	1	no	maximal, Hall
3	C₃×C₃₁×C₁₀₃	C₄	1	1	yes	characteristic, complemented, Hall
4	C₂×C₃₁×C₁₀₃	D₃	1	1	yes	characteristic
5	C₃₁×C₁₀₃	Dic₃	1	1	yes	characteristic, complemented, Hall
6	Dic₃×C₁₀₃	—	31	1	no	maximal, Hall
7	C₂×C₃×C₁₀₃	D₃₁	1	1	yes	characteristic
8	C₄×C₁₀₃	—	93	1	no	Hall
9	Dic₉₃	C₁₀₃	1	1	yes	maximal, characteristic, direct product factor, Hall
10	C₃×C₁₀₃	Dic₃₁	1	1	yes	characteristic, complemented, Hall
11	C₂×C₁₀₃	D₉₃	1	1	yes	characteristic
12	C₂×C₃×C₃₁	C₂×C₁₀₃	1	1	yes	characteristic
13	Dic₃₁	—	3	1	no	Hall
14	C₁₀₃	Dic₉₃	1	1	yes	characteristic, direct product factor, Sylow
15	C₃×C₃₁	C₄×C₁₀₃	1	1	yes	characteristic, complemented, Hall
16	C₂×C₃₁	D₃×C₁₀₃	1	1	yes	characteristic
17	C₃₁	Dic₃×C₁₀₃	1	1	yes	characteristic, complemented, Sylow
18	Dic₃	—	31	1	no	Hall
19	C₂×C₃	D₃₁×C₁₀₃	1	1	yes	characteristic
20	C₄	—	93	1	no	Sylow
21	C₃	C₁₀₃×Dic₃₁	1	1	yes	characteristic, complemented, Sylow
22	C₂	C₁₀₃×D₉₃	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.