Subgroups — C₉×C₄₁×C₇₃ #41002239

Order 26937.

12 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₄₁×C₇₃	C₃	1	1	yes	maximal, characteristic
2	C₄₁×C₇₃	C₉	1	1	yes	characteristic, direct product factor, Hall
3	C₉×C₇₃	C₄₁	1	1	yes	maximal, characteristic, direct product factor, Hall
4	C₉×C₄₁	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Hall
5	C₃×C₇₃	C₃×C₄₁	1	1	yes	characteristic
6	C₃×C₄₁	C₃×C₇₃	1	1	yes	characteristic
7	C₇₃	C₉×C₄₁	1	1	yes	characteristic, direct product factor, Sylow
8	C₄₁	C₉×C₇₃	1	1	yes	characteristic, direct product factor, Sylow
9	C₉	C₄₁×C₇₃	1	1	yes	characteristic, direct product factor, Sylow
10	C₃	C₃×C₄₁×C₇₃	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.