Subgroups — C₂×D₄₃₉⋊C₉ #30628974

Order 15804.

30 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄₃₉⋊C₉	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄₃₉⋊C₉	C₂	1	2	yes	maximal, direct product factor
3	C₂×C₃×D₄₃₉	C₃	1	1	yes	maximal, characteristic
4	C₄₃₉⋊C₉	C₂²	1	1	yes	characteristic, complemented, Hall
5	C₂×C₃×C₄₃₉	C₂×C₃	1	1	yes	characteristic
6	C₃×D₄₃₉	C₂×C₃	1	2	yes	—
7	C₂×D₄₃₉	C₉	1	1	yes	characteristic, complemented, Hall
8	C₃×C₄₃₉	C₂²×C₃	1	1	yes	characteristic
9	C₂×C₄₃₉	C₂×C₉	1	1	yes	characteristic, complemented
10	D₄₃₉	C₂×C₉	1	2	yes	complemented
11	C₄₃₉	C₂²×C₉	1	1	yes	characteristic, complemented, Sylow
12	C₂²×C₉	—	439	1	no	maximal, Hall
13	C₂×C₉	—	439	2	no	—
14	C₂×C₉	—	439	1	no	—
15	C₂²×C₃	—	1317	1	no	—
16	C₉	—	439	1	no	Sylow
17	C₂×C₃	—	1317	2	no	—
18	C₂×C₃	D₄₃₉⋊C₃	1	1	yes	characteristic
19	C₂²	—	1317	1	no	Sylow
20	C₃	C₂×D₄₃₉⋊C₃	1	1	yes	characteristic
21	C₂	—	1317	2	no	—
22	C₂	D₄₃₉⋊C₉	1	1	yes	characteristic, direct product factor

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.