Subgroups — C₁₉×Dic₃₈₁ #44394151

Order 28956.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×C₁₉×C₁₂₇	C₂	1	1	yes	maximal, characteristic
2	C₁₉×Dic₁₂₇	—	3	1	no	maximal, Hall
3	C₃×C₁₉×C₁₂₇	C₄	1	1	yes	characteristic, complemented, Hall
4	C₂×C₁₉×C₁₂₇	D₃	1	1	yes	characteristic
5	C₁₉×C₁₂₇	Dic₃	1	1	yes	characteristic, complemented, Hall
6	Dic₃₈₁	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Hall
7	C₂×C₃×C₁₂₇	C₂×C₁₉	1	1	yes	characteristic
8	Dic₁₂₇	—	3	1	no	Hall
9	C₃×C₁₂₇	C₄×C₁₉	1	1	yes	characteristic, complemented, Hall
10	C₂×C₁₂₇	D₃×C₁₉	1	1	yes	characteristic
11	Dic₃×C₁₉	—	127	1	no	maximal, Hall
12	C₁₂₇	Dic₃×C₁₉	1	1	yes	characteristic, complemented, Sylow
13	C₂×C₃×C₁₉	D₁₂₇	1	1	yes	characteristic
14	C₄×C₁₉	—	381	1	no	Hall
15	C₃×C₁₉	Dic₁₂₇	1	1	yes	characteristic, complemented, Hall
16	C₂×C₁₉	D₃₈₁	1	1	yes	characteristic
17	C₁₉	Dic₃₈₁	1	1	yes	characteristic, direct product factor, Sylow
18	Dic₃	—	127	1	no	Hall
19	C₂×C₃	C₁₉×D₁₂₇	1	1	yes	characteristic
20	C₄	—	381	1	no	Sylow
21	C₃	C₁₉×Dic₁₂₇	1	1	yes	characteristic, complemented, Sylow
22	C₂	C₁₉×D₃₈₁	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.