Subgroups — C₄₃×Dic₁₁₁ #34061839

Order 19092.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×C₃₇×C₄₃	C₂	1	1	yes	maximal, characteristic
2	C₄₃×Dic₃₇	—	3	1	no	maximal, Hall
3	C₃×C₃₇×C₄₃	C₄	1	1	yes	characteristic, complemented, Hall
4	C₂×C₃₇×C₄₃	D₃	1	1	yes	characteristic
5	C₃₇×C₄₃	Dic₃	1	1	yes	characteristic, complemented, Hall
6	Dic₃×C₄₃	—	37	1	no	maximal, Hall
7	Dic₁₁₁	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Hall
8	C₂×C₃×C₄₃	D₃₇	1	1	yes	characteristic
9	C₂×C₃×C₃₇	C₂×C₄₃	1	1	yes	characteristic
10	C₄×C₄₃	—	111	1	no	Hall
11	Dic₃₇	—	3	1	no	Hall
12	C₃×C₄₃	Dic₃₇	1	1	yes	characteristic, complemented, Hall
13	C₃×C₃₇	C₄×C₄₃	1	1	yes	characteristic, complemented, Hall
14	C₂×C₄₃	D₁₁₁	1	1	yes	characteristic
15	C₂×C₃₇	D₃×C₄₃	1	1	yes	characteristic
16	C₄₃	Dic₁₁₁	1	1	yes	characteristic, direct product factor, Sylow
17	C₃₇	Dic₃×C₄₃	1	1	yes	characteristic, complemented, Sylow
18	Dic₃	—	37	1	no	Hall
19	C₂×C₃	C₄₃×D₃₇	1	1	yes	characteristic
20	C₄	—	111	1	no	Sylow
21	C₃	C₄₃×Dic₃₇	1	1	yes	characteristic, complemented, Sylow
22	C₂	C₄₃×D₁₁₁	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.