Subgroups — C₂×D₄₈ #4902

Order 192.

98 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₂₄	C₂	1	2	yes	maximal, complemented
2	C₂×C₃×C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
3	D₄₈	C₂	1	4	yes	maximal, direct product factor
4	C₂×D₁₆	—	3	1	no	maximal, Sylow
5	C₂×D₁₂	—	2	2	no	—
6	C₂×C₃×C₈	C₂²	1	1	yes	characteristic
7	D₂₄	—	2	2	no	—
8	D₂₄	C₂²	1	4	yes	complemented
9	C₃×C₁₆	C₂²	1	2	yes	complemented
10	C₂×D₈	—	3	2	no	—
11	D₁₆	—	3	4	no	—
12	C₂×C₁₆	D₃	1	1	yes	characteristic, complemented
13	C₂²×D₃	—	4	2	no	—
14	C₂×C₃×C₄	D₄	1	1	yes	characteristic
15	D₁₂	—	2	4	no	—
16	D₁₂	—	4	2	no	—
17	C₃×C₈	D₄	1	1	yes	characteristic
18	C₃×C₈	C₂³	1	1	yes	characteristic
19	C₂×D₄	—	6	2	no	—
20	D₈	—	3	4	no	—
21	D₈	—	6	2	no	—
22	C₂×C₈	C₂×D₃	1	1	yes	characteristic
23	C₁₆	C₂×D₃	1	2	yes	complemented
24	C₂²×C₃	D₈	1	1	yes	characteristic
25	C₂×D₃	—	4	4	no	—
26	C₂×D₃	—	8	4	no	—
27	C₃×C₄	D₈	1	1	yes	characteristic
28	C₃×C₄	C₂×D₄	1	1	yes	characteristic
29	C₂³	—	12	2	no	—
30	D₄	—	6	4	no	—
31	D₄	—	12	2	no	—
32	C₂×C₄	D₁₂	1	1	yes	characteristic
33	C₈	D₁₂	1	1	yes	characteristic
34	C₈	C₂²×D₃	1	1	yes	characteristic
35	C₂×C₃	D₁₆	1	2	yes	complemented
36	C₂×C₃	C₂×D₈	1	1	yes	characteristic
37	D₃	—	8	4	no	—
38	C₂²	—	12	4	no	—
39	C₂²	—	24	4	no	—
40	C₂²	D₂₄	1	1	yes	characteristic
41	C₄	D₂₄	1	1	yes	characteristic
42	C₄	C₂×D₁₂	1	1	yes	characteristic
43	C₃	C₂×D₁₆	1	1	yes	characteristic, complemented, Sylow
44	C₂	—	24	4	no	—
45	C₂	D₄₈	1	2	yes	direct product factor
46	C₂	C₂×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.