Subgroups — C₉×D₉₁₃ #30656142

Order 16434.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₉×C₁₁×C₈₃	C₂	1	1	yes	maximal, characteristic, complemented, Hall
2	C₃×D₉₁₃	C₃	1	1	yes	maximal, characteristic
3	C₃×C₁₁×C₈₃	C₂×C₃	1	1	yes	characteristic
4	D₉₁₃	C₉	1	1	yes	characteristic, direct product factor, Hall
5	C₉×D₈₃	—	11	1	no	maximal, Hall
6	C₁₁×C₈₃	C₂×C₉	1	1	yes	characteristic, complemented, Hall
7	C₉×C₈₃	D₁₁	1	1	yes	characteristic, complemented, Hall
8	C₃×D₈₃	—	11	1	no	—
9	C₃×C₈₃	C₃×D₁₁	1	1	yes	characteristic
10	C₉×D₁₁	—	83	1	no	maximal, Hall
11	D₈₃	—	11	1	no	Hall
12	C₉×C₁₁	D₈₃	1	1	yes	characteristic, complemented, Hall
13	C₈₃	C₉×D₁₁	1	1	yes	characteristic, complemented, Sylow
14	C₃×D₁₁	—	83	1	no	—
15	C₃×C₁₁	C₃×D₈₃	1	1	yes	characteristic
16	D₁₁	—	83	1	no	Hall
17	C₂×C₉	—	913	1	no	Hall
18	C₁₁	C₉×D₈₃	1	1	yes	characteristic, complemented, Sylow
19	C₉	D₉₁₃	1	1	yes	characteristic, direct product factor, Sylow
20	C₂×C₃	—	913	1	no	—
21	C₃	C₃×D₉₁₃	1	1	yes	characteristic
22	C₂	—	913	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.