Subgroups — C₃×C₁₉×Dic₄₇ #24924260

Order 10716.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×C₁₉×C₄₇	C₂	1	1	yes	maximal, characteristic
2	C₁₉×Dic₄₇	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
3	C₃×C₁₉×C₄₇	C₄	1	1	yes	characteristic, complemented, Hall
4	C₂×C₁₉×C₄₇	C₂×C₃	1	1	yes	characteristic
5	C₁₉×C₄₇	C₃×C₄	1	1	yes	characteristic, complemented, Hall
6	C₃×Dic₄₇	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Hall
7	C₂×C₃×C₄₇	C₂×C₁₉	1	1	yes	characteristic
8	C₃×C₄×C₁₉	—	47	1	no	maximal, Hall
9	Dic₄₇	C₃×C₁₉	1	1	yes	characteristic, direct product factor, Hall
10	C₃×C₄₇	C₄×C₁₉	1	1	yes	characteristic, complemented, Hall
11	C₂×C₃×C₁₉	D₄₇	1	1	yes	characteristic
12	C₂×C₄₇	C₂×C₃×C₁₉	1	1	yes	characteristic
13	C₄×C₁₉	—	47	1	no	Hall
14	C₃×C₁₉	Dic₄₇	1	1	yes	characteristic, direct product factor, Hall
15	C₄₇	C₃×C₄×C₁₉	1	1	yes	characteristic, complemented, Sylow
16	C₂×C₁₉	C₃×D₄₇	1	1	yes	characteristic
17	C₁₉	C₃×Dic₄₇	1	1	yes	characteristic, direct product factor, Sylow
18	C₃×C₄	—	47	1	no	Hall
19	C₂×C₃	C₁₉×D₄₇	1	1	yes	characteristic
20	C₄	—	47	1	no	Sylow
21	C₃	C₁₉×Dic₄₇	1	1	yes	characteristic, direct product factor, Sylow
22	C₂	C₃×C₁₉×D₄₇	1	1	yes	characteristic

Splittings G = N ⋊ H with N normal; H ≅ G/N.