Subgroups — C₁₁×C₄₃×Dic₁₃ #37589692

Order 24596.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×C₁₃×C₄₃	C₂	1	1	yes	maximal, characteristic
2	C₁₁×C₁₃×C₄₃	C₄	1	1	yes	characteristic, complemented, Hall
3	C₄₃×Dic₁₃	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Hall
4	C₄×C₁₁×C₄₃	—	13	1	no	maximal, Hall
5	C₂×C₁₃×C₄₃	C₂×C₁₁	1	1	yes	characteristic
6	C₂×C₁₁×C₄₃	D₁₃	1	1	yes	characteristic
7	C₁₁×Dic₁₃	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Hall
8	C₁₃×C₄₃	C₄×C₁₁	1	1	yes	characteristic, complemented, Hall
9	C₁₁×C₄₃	Dic₁₃	1	1	yes	characteristic, direct product factor, Hall
10	C₂×C₁₁×C₁₃	C₂×C₄₃	1	1	yes	characteristic
11	C₄×C₄₃	—	13	1	no	Hall
12	C₁₁×C₁₃	C₄×C₄₃	1	1	yes	characteristic, complemented, Hall
13	C₂×C₄₃	C₁₁×D₁₃	1	1	yes	characteristic
14	Dic₁₃	C₁₁×C₄₃	1	1	yes	characteristic, direct product factor, Hall
15	C₄×C₁₁	—	13	1	no	Hall
16	C₄₃	C₁₁×Dic₁₃	1	1	yes	characteristic, direct product factor, Sylow
17	C₂×C₁₃	C₂×C₁₁×C₄₃	1	1	yes	characteristic
18	C₂×C₁₁	D₁₃×C₄₃	1	1	yes	characteristic
19	C₁₃	C₄×C₁₁×C₄₃	1	1	yes	characteristic, complemented, Sylow
20	C₁₁	C₄₃×Dic₁₃	1	1	yes	characteristic, direct product factor, Sylow
21	C₄	—	13	1	no	Sylow
22	C₂	C₁₁×D₁₃×C₄₃	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.