Subgroups — C₁₆₉×D₉₅ #44545765

Order 32110.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×C₁₉×C₁₆₉	C₂	1	1	yes	maximal, characteristic, complemented, Hall
2	D₁₉×C₁₆₉	—	5	1	no	maximal, Hall
3	C₁₉×C₁₆₉	D₅	1	1	yes	characteristic, complemented, Hall
4	C₁₃×D₉₅	C₁₃	1	1	yes	maximal, characteristic
5	D₅×C₁₆₉	—	19	1	no	maximal, Hall
6	C₅×C₁₃×C₁₉	C₂×C₁₃	1	1	yes	characteristic
7	C₅×C₁₆₉	D₁₉	1	1	yes	characteristic, complemented, Hall
8	C₁₃×D₁₉	—	5	1	no	—
9	C₂×C₁₆₉	—	95	1	no	Hall
10	C₁₃×C₁₉	D₅×C₁₃	1	1	yes	characteristic
11	D₉₅	C₁₆₉	1	1	yes	characteristic, direct product factor, Hall
12	C₁₆₉	D₉₅	1	1	yes	characteristic, direct product factor, Sylow
13	D₅×C₁₃	—	19	1	no	—
14	C₅×C₁₉	C₂×C₁₆₉	1	1	yes	characteristic, complemented, Hall
15	C₅×C₁₃	C₁₃×D₁₉	1	1	yes	characteristic
16	D₁₉	—	5	1	no	Hall
17	C₂×C₁₃	—	95	1	no	—
18	C₁₉	D₅×C₁₆₉	1	1	yes	characteristic, complemented, Sylow
19	C₁₃	C₁₃×D₉₅	1	1	yes	characteristic
20	D₅	—	19	1	no	Hall
21	C₅	D₁₉×C₁₆₉	1	1	yes	characteristic, complemented, Sylow
22	C₂	—	95	1	no	Sylow

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.