Subgroups — C₃×C₁₃×C₁₁⋊C₂₅ #24924328

Order 10725.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×C₁₁⋊C₂₅	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
2	C₃×C₅×C₁₁×C₁₃	C₅	1	1	yes	maximal, characteristic
3	C₃×C₁₃×C₂₅	—	11	1	no	maximal, Hall
4	C₃×C₁₁⋊C₂₅	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Hall
5	C₅×C₁₁×C₁₃	C₃×C₅	1	1	yes	characteristic
6	C₃×C₁₁×C₁₃	C₂₅	1	1	yes	characteristic, complemented, Hall
7	C₁₃×C₂₅	—	11	1	no	Hall
8	C₁₁⋊C₂₅	C₃×C₁₃	1	1	yes	characteristic, direct product factor, Hall
9	C₃×C₅×C₁₃	C₁₁⋊C₅	1	1	yes	characteristic
10	C₃×C₅×C₁₁	C₅×C₁₃	1	1	yes	characteristic
11	C₁₁×C₁₃	C₃×C₂₅	1	1	yes	characteristic, complemented, Hall
12	C₃×C₂₅	—	11	1	no	Hall
13	C₅×C₁₃	C₃×C₁₁⋊C₅	1	1	yes	characteristic
14	C₅×C₁₁	C₃×C₅×C₁₃	1	1	yes	characteristic
15	C₃×C₁₃	C₁₁⋊C₂₅	1	1	yes	characteristic, direct product factor, Hall
16	C₃×C₁₁	C₁₃×C₂₅	1	1	yes	characteristic, complemented, Hall
17	C₂₅	—	11	1	no	Sylow
18	C₃×C₅	C₁₃×C₁₁⋊C₅	1	1	yes	characteristic
19	C₁₃	C₃×C₁₁⋊C₂₅	1	1	yes	characteristic, direct product factor, Sylow
20	C₁₁	C₃×C₁₃×C₂₅	1	1	yes	characteristic, complemented, Sylow
21	C₅	C₃×C₁₃×C₁₁⋊C₅	1	1	yes	characteristic
22	C₃	C₁₃×C₁₁⋊C₂₅	1	1	yes	characteristic, direct product factor, Sylow

Splittings G = N ⋊ H with N normal; H ≅ G/N.