Subgroups — C₃₇×C₇₉⋊C₉ #39911558

Order 26307.

12 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₃₇×C₇₉	C₃	1	1	yes	maximal, characteristic
2	C₃₇×C₇₉	C₉	1	1	yes	characteristic, complemented, Hall
3	C₇₉⋊C₉	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Hall
4	C₉×C₃₇	—	79	1	no	maximal, Hall
5	C₃×C₇₉	C₃×C₃₇	1	1	yes	characteristic
6	C₃×C₃₇	C₇₉⋊C₃	1	1	yes	characteristic
7	C₇₉	C₉×C₃₇	1	1	yes	characteristic, complemented, Sylow
8	C₃₇	C₇₉⋊C₉	1	1	yes	characteristic, direct product factor, Sylow
9	C₉	—	79	1	no	Sylow
10	C₃	C₃₇×C₇₉⋊C₃	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.