Subgroups — C₃×C₁₇×C₃₇₃ #34039733

Order 19023.

8 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₇×C₃₇₃	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
2	C₃×C₃₇₃	C₁₇	1	1	yes	maximal, characteristic, direct product factor, Hall
3	C₃₇₃	C₃×C₁₇	1	1	yes	characteristic, direct product factor, Sylow
4	C₃×C₁₇	C₃₇₃	1	1	yes	maximal, characteristic, direct product factor, Hall
5	C₁₇	C₃×C₃₇₃	1	1	yes	characteristic, direct product factor, Sylow
6	C₃	C₁₇×C₃₇₃	1	1	yes	characteristic, direct product factor, Sylow

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.