Subgroups — C₃×D₄₈ #63585

Order 288.

61 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×D₂₄	C₂	1	2	yes	maximal, complemented
2	C₃²×C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×D₁₆	—	3	1	no	maximal
4	D₄₈	C₃	1	1	yes	maximal, characteristic, direct product factor
5	C₃×D₁₂	—	2	2	no	—
6	C₃²×C₈	C₂²	1	1	yes	characteristic
7	C₃×D₈	—	3	2	no	—
8	D₂₄	C₂×C₃	1	2	yes	complemented
9	C₃×C₁₆	—	2	1	no	—
10	C₃×C₁₆	D₃	1	1	yes	characteristic, complemented
11	C₃×C₁₆	C₂×C₃	1	1	yes	characteristic, complemented
12	C₂×C₃×D₃	—	4	2	no	—
13	C₃²×C₄	D₄	1	1	yes	characteristic
14	D₁₆	—	3	1	no	Sylow
15	C₃×D₄	—	6	2	no	—
16	D₁₂	—	2	2	no	—
17	C₃×C₈	—	2	1	no	—
18	C₃×C₈	C₂×D₃	1	1	yes	characteristic
19	C₃×C₈	C₂²×C₃	1	1	yes	characteristic
20	C₂×C₃²	D₈	1	1	yes	characteristic
21	C₃×D₃	—	8	2	no	—
22	D₈	—	3	2	no	—
23	C₁₆	C₃×D₃	1	1	yes	characteristic, complemented
24	C₂²×C₃	—	12	2	no	—
25	C₂×D₃	—	4	2	no	—
26	C₃×C₄	—	2	1	no	—
27	C₃×C₄	D₁₂	1	1	yes	characteristic
28	C₃×C₄	C₃×D₄	1	1	yes	characteristic
29	C₃²	D₁₆	1	1	yes	characteristic, complemented, Sylow
30	D₄	—	6	2	no	—
31	C₈	C₂×C₃×D₃	1	1	yes	characteristic
32	C₂×C₃	—	2	1	no	—
33	C₂×C₃	—	24	2	no	—
34	C₂×C₃	D₂₄	1	1	yes	characteristic
35	C₂×C₃	C₃×D₈	1	1	yes	characteristic
36	D₃	—	8	2	no	—
37	C₂²	—	12	2	no	—
38	C₄	C₃×D₁₂	1	1	yes	characteristic
39	C₃	—	2	1	no	—
40	C₃	D₄₈	1	1	yes	characteristic, direct product factor
41	C₃	C₃×D₁₆	1	1	yes	characteristic, complemented
42	C₂	—	24	2	no	—
43	C₂	C₃×D₂₄	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.