Subgroups — C₃₁×#11765919 #47978552

Order 35433.

12 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₁×C₁₂₇⋊C₃	C₃	1	1	yes	maximal, characteristic
2	C₃₁×C₁₂₇	C₉	1	1	yes	characteristic, complemented, Hall
3	#11765919	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Hall
4	C₁₂₇⋊C₃	C₃×C₃₁	1	1	yes	characteristic
5	C₉×C₃₁	—	127	1	no	maximal, Hall
6	C₁₂₇	C₉×C₃₁	1	1	yes	characteristic, complemented, Sylow
7	C₃×C₃₁	—	127	1	no	—
8	C₃₁	#11765919	1	1	yes	characteristic, direct product factor, Sylow
9	C₉	—	127	1	no	Sylow
10	C₃	—	127	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.