Subgroups — C₉×C₁₁×C₃₇₃ #49147397

Order 36927.

12 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₁₁×C₃₇₃	C₃	1	1	yes	maximal, characteristic
2	C₁₁×C₃₇₃	C₉	1	1	yes	characteristic, direct product factor, Hall
3	C₉×C₃₇₃	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Hall
4	C₃×C₃₇₃	C₃×C₁₁	1	1	yes	characteristic
5	C₃₇₃	C₉×C₁₁	1	1	yes	characteristic, direct product factor, Sylow
6	C₉×C₁₁	C₃₇₃	1	1	yes	maximal, characteristic, direct product factor, Hall
7	C₃×C₁₁	C₃×C₃₇₃	1	1	yes	characteristic
8	C₁₁	C₉×C₃₇₃	1	1	yes	characteristic, direct product factor, Sylow
9	C₉	C₁₁×C₃₇₃	1	1	yes	characteristic, direct product factor, Sylow
10	C₃	C₃×C₁₁×C₃₇₃	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.