Subgroups — Dic₉×C₄₃⋊C₇ #24925413

Order 10836.

36 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₉×C₄₃⋊C₇	C₂	1	1	yes	maximal, characteristic
2	Dic₃×C₄₃⋊C₇	—	3	1	no	maximal
3	C₉×C₄₃⋊C₇	C₄	1	1	yes	characteristic, complemented, Hall
4	C₂×C₃×C₄₃⋊C₇	D₃	1	1	yes	characteristic
5	Dic₉×C₄₃	C₇	1	1	yes	maximal, characteristic, complemented, Hall
6	C₄×C₄₃⋊C₇	—	9	1	no	Hall
7	C₃×C₄₃⋊C₇	Dic₃	1	1	yes	characteristic
8	C₂×C₉×C₄₃	C₂×C₇	1	1	yes	characteristic
9	C₂×C₄₃⋊C₇	D₉	1	1	yes	characteristic
10	Dic₃×C₄₃	—	3	1	no	—
11	C₉×C₄₃	C₄×C₇	1	1	yes	characteristic, complemented, Hall
12	C₄₃⋊C₇	Dic₉	1	1	yes	characteristic, direct product factor, Hall
13	C₂×C₃×C₄₃	D₃×C₇	1	1	yes	characteristic
14	C₇×Dic₉	—	43	1	no	maximal, Hall
15	C₄×C₄₃	—	9	1	no	Hall
16	C₃×C₄₃	C₇×Dic₃	1	1	yes	characteristic
17	C₂×C₇×C₉	—	43	1	no	—
18	C₂×C₄₃	C₇×D₉	1	1	yes	characteristic
19	C₇×Dic₃	—	129	1	no	—
20	C₇×C₉	—	43	1	no	Hall
21	C₄₃	C₇×Dic₉	1	1	yes	characteristic, complemented, Sylow
22	C₂×C₃×C₇	—	43	1	no	—
23	Dic₉	C₄₃⋊C₇	1	1	yes	characteristic, direct product factor, Hall
24	C₄×C₇	—	387	1	no	Hall
25	C₃×C₇	—	43	1	no	—
26	C₂×C₉	C₂×C₄₃⋊C₇	1	1	yes	characteristic
27	C₂×C₇	—	43	1	no	—
28	Dic₃	—	3	1	no	—
29	C₉	C₄×C₄₃⋊C₇	1	1	yes	characteristic, complemented, Sylow
30	C₇	—	43	1	no	Sylow
31	C₂×C₃	D₃×C₄₃⋊C₇	1	1	yes	characteristic
32	C₄	—	9	1	no	Sylow
33	C₃	Dic₃×C₄₃⋊C₇	1	1	yes	characteristic
34	C₂	D₉×C₄₃⋊C₇	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.