Subgroups — C₃×#16838652 #26040366

Order 11532.

76 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₃₁⋊D₃₁	C₂	1	1	yes	maximal, characteristic
2	#16838652	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
3	C₃×C₃₁²	C₄	1	1	yes	characteristic, complemented, Hall
4	C₃₁⋊D₃₁	C₂×C₃	1	1	yes	characteristic
5	C₃₁²	C₃×C₄	1	1	yes	characteristic, complemented, Sylow
6	C₃×D₃₁	—	62	16	no	—
7	C₃×C₃₁	—	2	16	no	—
8	D₃₁	—	62	16	no	—
9	C₃₁	—	2	16	no	—
10	C₃×C₄	—	961	1	no	maximal, Hall
11	C₂×C₃	—	961	1	no	—
12	C₄	—	961	1	no	Sylow
13	C₃	#16838652	1	1	yes	characteristic, direct product factor, Sylow
14	C₂	—	961	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.