Subgroups — C₄×C₅×C₁₉ #67412

Order 380.

12 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×C₁₉	C₂	1	1	yes	maximal, characteristic
2	C₅×C₁₉	C₄	1	1	yes	characteristic, direct product factor, Hall
3	C₄×C₁₉	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
4	C₂×C₁₉	C₂×C₅	1	1	yes	characteristic
5	C₄×C₅	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Hall
6	C₁₉	C₄×C₅	1	1	yes	characteristic, direct product factor, Sylow
7	C₂×C₅	C₂×C₁₉	1	1	yes	characteristic
8	C₅	C₄×C₁₉	1	1	yes	characteristic, direct product factor, Sylow
9	C₄	C₅×C₁₉	1	1	yes	characteristic, direct product factor, Sylow
10	C₂	C₂×C₅×C₁₉	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.