Subgroups — C₉×C₁₁×C₄₃⋊C₇ #44446997

Order 29799.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₁₁×C₄₃⋊C₇	C₃	1	1	yes	maximal, characteristic
2	C₉×C₁₁×C₄₃	C₇	1	1	yes	maximal, characteristic, complemented, Hall
3	C₁₁×C₄₃⋊C₇	C₉	1	1	yes	characteristic, direct product factor, Hall
4	C₉×C₄₃⋊C₇	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Hall
5	C₃×C₁₁×C₄₃	C₃×C₇	1	1	yes	characteristic
6	C₃×C₄₃⋊C₇	C₃×C₁₁	1	1	yes	characteristic
7	C₇×C₉×C₁₁	—	43	1	no	maximal, Hall
8	C₁₁×C₄₃	C₇×C₉	1	1	yes	characteristic, complemented, Hall
9	C₉×C₄₃	C₇×C₁₁	1	1	yes	characteristic, complemented, Hall
10	C₄₃⋊C₇	C₉×C₁₁	1	1	yes	characteristic, direct product factor, Hall
11	C₃×C₇×C₁₁	—	43	1	no	—
12	C₃×C₄₃	C₃×C₇×C₁₁	1	1	yes	characteristic
13	C₉×C₁₁	C₄₃⋊C₇	1	1	yes	characteristic, direct product factor, Hall
14	C₇×C₁₁	—	43	1	no	Hall
15	C₇×C₉	—	43	1	no	Hall
16	C₄₃	C₇×C₉×C₁₁	1	1	yes	characteristic, complemented, Sylow
17	C₃×C₁₁	C₃×C₄₃⋊C₇	1	1	yes	characteristic
18	C₃×C₇	—	43	1	no	—
19	C₁₁	C₉×C₄₃⋊C₇	1	1	yes	characteristic, direct product factor, Sylow
20	C₉	C₁₁×C₄₃⋊C₇	1	1	yes	characteristic, direct product factor, Sylow
21	C₇	—	43	1	no	Sylow
22	C₃	C₃×C₁₁×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.