Subgroups — C₁₃×C₁₉×Dic₁₁ #24925872

Order 10868.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×C₁₃×C₁₉	C₂	1	1	yes	maximal, characteristic
2	C₁₁×C₁₃×C₁₉	C₄	1	1	yes	characteristic, complemented, Hall
3	C₄×C₁₃×C₁₉	—	11	1	no	maximal, Hall
4	C₁₉×Dic₁₁	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Hall
5	C₁₃×Dic₁₁	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Hall
6	C₂×C₁₃×C₁₉	D₁₁	1	1	yes	characteristic
7	C₂×C₁₁×C₁₉	C₂×C₁₃	1	1	yes	characteristic
8	C₂×C₁₁×C₁₃	C₂×C₁₉	1	1	yes	characteristic
9	C₁₃×C₁₉	Dic₁₁	1	1	yes	characteristic, direct product factor, Hall
10	C₁₁×C₁₉	C₄×C₁₃	1	1	yes	characteristic, complemented, Hall
11	C₁₁×C₁₃	C₄×C₁₉	1	1	yes	characteristic, complemented, Hall
12	C₄×C₁₉	—	11	1	no	Hall
13	C₄×C₁₃	—	11	1	no	Hall
14	Dic₁₁	C₁₃×C₁₉	1	1	yes	characteristic, direct product factor, Hall
15	C₂×C₁₉	C₁₃×D₁₁	1	1	yes	characteristic
16	C₂×C₁₃	C₁₉×D₁₁	1	1	yes	characteristic
17	C₂×C₁₁	C₂×C₁₃×C₁₉	1	1	yes	characteristic
18	C₁₉	C₁₃×Dic₁₁	1	1	yes	characteristic, direct product factor, Sylow
19	C₁₃	C₁₉×Dic₁₁	1	1	yes	characteristic, direct product factor, Sylow
20	C₁₁	C₄×C₁₃×C₁₉	1	1	yes	characteristic, complemented, Sylow
21	C₄	—	11	1	no	Sylow
22	C₂	C₁₃×C₁₉×D₁₁	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.