Subgroups — C₃×Dic₉₈₉ #26045127

Order 11868.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×C₂₃×C₄₃	C₂	1	1	yes	maximal, characteristic
2	Dic₉₈₉	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
3	C₃×C₂₃×C₄₃	C₄	1	1	yes	characteristic, complemented, Hall
4	C₂×C₂₃×C₄₃	C₂×C₃	1	1	yes	characteristic
5	C₂₃×C₄₃	C₃×C₄	1	1	yes	characteristic, complemented, Hall
6	C₃×Dic₄₃	—	23	1	no	maximal, Hall
7	C₃×Dic₂₃	—	43	1	no	maximal, Hall
8	C₂×C₃×C₄₃	D₂₃	1	1	yes	characteristic
9	Dic₄₃	—	23	1	no	Hall
10	C₂×C₃×C₂₃	D₄₃	1	1	yes	characteristic
11	C₃×C₄₃	Dic₂₃	1	1	yes	characteristic, complemented, Hall
12	Dic₂₃	—	43	1	no	Hall
13	C₂×C₄₃	C₃×D₂₃	1	1	yes	characteristic
14	C₃×C₂₃	Dic₄₃	1	1	yes	characteristic, complemented, Hall
15	C₂×C₂₃	C₃×D₄₃	1	1	yes	characteristic
16	C₄₃	C₃×Dic₂₃	1	1	yes	characteristic, complemented, Sylow
17	C₂₃	C₃×Dic₄₃	1	1	yes	characteristic, complemented, Sylow
18	C₃×C₄	—	989	1	no	Hall
19	C₂×C₃	D₉₈₉	1	1	yes	characteristic
20	C₄	—	989	1	no	Sylow
21	C₃	Dic₉₈₉	1	1	yes	characteristic, direct product factor, Sylow
22	C₂	C₃×D₉₈₉	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.