Subgroups — C₄×D₆₃ #92609

Order 504.

48 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₆₃	C₂	1	1	yes	maximal, characteristic
2	C₄×C₇×C₉	C₂	1	1	yes	maximal, characteristic, complemented
3	Dic₆₃	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄×D₂₁	—	3	1	no	maximal
5	C₂×C₇×C₉	C₂²	1	1	yes	characteristic
6	D₆₃	C₄	1	2	yes	direct product factor
7	C₂×D₂₁	—	3	1	no	—
8	C₃×C₄×C₇	D₃	1	1	yes	characteristic
9	Dic₂₁	—	3	1	no	—
10	C₄×D₉	—	7	1	no	maximal, Hall
11	C₇×C₉	C₂×C₄	1	1	yes	characteristic, complemented, Hall
12	C₄×D₇	—	9	1	no	Hall
13	C₂×C₃×C₇	C₂×D₃	1	1	yes	characteristic
14	D₂₁	—	3	2	no	—
15	C₂×D₉	—	7	1	no	—
16	C₄×C₉	D₇	1	1	yes	characteristic, complemented
17	Dic₉	—	7	1	no	—
18	C₂×D₇	—	9	1	no	—
19	C₄×C₇	D₉	1	1	yes	characteristic, complemented
20	Dic₇	—	9	1	no	—
21	C₄×D₃	—	21	1	no	—
22	C₃×C₇	C₄×D₃	1	1	yes	characteristic
23	C₂×C₉	C₂×D₇	1	1	yes	characteristic
24	D₉	—	7	2	no	—
25	C₂×C₇	C₂×D₉	1	1	yes	characteristic
26	D₇	—	9	2	no	—
27	C₂×D₃	—	21	1	no	—
28	C₃×C₄	D₂₁	1	1	yes	characteristic
29	Dic₃	—	21	1	no	—
30	C₉	C₄×D₇	1	1	yes	characteristic, complemented, Sylow
31	C₂×C₄	—	63	1	no	Sylow
32	C₇	C₄×D₉	1	1	yes	characteristic, complemented, Sylow
33	C₂×C₃	C₂×D₂₁	1	1	yes	characteristic
34	D₃	—	21	2	no	—
35	C₂²	—	63	1	no	—
36	C₄	—	63	1	no	—
37	C₄	D₆₃	1	1	yes	characteristic, direct product factor
38	C₃	C₄×D₂₁	1	1	yes	characteristic
39	C₂	—	63	2	no	—
40	C₂	C₂×D₆₃	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.