Subgroups — C₇×#17983940 #44501587

Order 30681.

12 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×C₄₈₇⋊C₃	C₃	1	1	yes	maximal, characteristic
2	#17983940	C₇	1	1	yes	maximal, characteristic, direct product factor, Hall
3	C₇×C₄₈₇	C₉	1	1	yes	characteristic, complemented, Hall
4	C₄₈₇⋊C₃	C₃×C₇	1	1	yes	characteristic
5	C₄₈₇	C₇×C₉	1	1	yes	characteristic, complemented, Sylow
6	C₇×C₉	—	487	1	no	maximal, Hall
7	C₃×C₇	—	487	1	no	—
8	C₉	—	487	1	no	Sylow
9	C₇	#17983940	1	1	yes	characteristic, direct product factor, Sylow
10	C₃	—	487	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.