Subgroups — C₄₃×#10624382 #44528094

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	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Hall
4	D₁₈₁	C₂×C₄₃	1	1	yes	characteristic
5	C₁₈₁	C₄×C₄₃	1	1	yes	characteristic, complemented, Sylow
6	C₄×C₄₃	—	181	1	no	maximal, Hall
7	C₂×C₄₃	—	181	1	no	—
8	C₄₃	#10624382	1	1	yes	characteristic, direct product factor, Sylow
9	C₄	—	181	1	no	Sylow
10	C₂	—	181	1	no	—

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.