Subgroups — C₄₃⋊#10624382 #44528095

Order 31132.

12 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₃×D₁₈₁	C₂	1	1	yes	maximal, characteristic
2	C₄₃×C₁₈₁	C₄	1	1	yes	characteristic, complemented, Hall
3	#10624382	—	43	1	no	maximal, Hall
4	D₁₈₁	D₄₃	1	1	yes	characteristic
5	C₁₈₁	Dic₄₃	1	1	yes	characteristic, complemented, Sylow
6	Dic₄₃	—	181	1	no	maximal, Hall
7	C₂×C₄₃	—	181	1	no	—
8	C₄₃	#10624382	1	1	yes	characteristic, complemented, Sylow
9	C₄	—	7783	1	no	Sylow
10	C₂	—	181	1	no	—

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, hypocenter	C₄₃×C₁₈₁	C₄
prime radical, cosocle	C₄₃×D₁₈₁	C₂
LCS	G ▷ C₄₃×C₁₈₁
UCS	C₁

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.