Subgroups — C₂×C₄⋊Dic₃ #925

Order 96.

92 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₃×C₄	C₂	1	1	yes	maximal, characteristic
2	C₂²×Dic₃	C₂	1	2	yes	maximal
3	C₄⋊Dic₃	C₂	1	4	yes	maximal, direct product factor
4	C₂×C₄⋊C₄	—	3	1	no	maximal, Sylow
5	C₂³×C₃	C₂²	1	1	yes	characteristic
6	C₂×C₃×C₄	C₄	1	4	yes	complemented
7	C₂×C₃×C₄	C₂²	1	2	yes	—
8	C₂×Dic₃	—	2	4	no	—
9	C₂×Dic₃	C₂²	1	4	yes	—
10	C₂²×C₄	—	3	2	no	—
11	C₂²×C₄	D₃	1	1	yes	characteristic
12	C₄⋊C₄	—	3	4	no	—
13	C₂²×C₃	C₂×C₄	1	2	yes	—
14	C₂²×C₃	D₄	1	2	yes	—
15	C₂²×C₃	Q₈	1	2	yes	—
16	C₂²×C₃	C₂³	1	1	yes	characteristic
17	C₃×C₄	C₂×C₄	1	4	yes	complemented
18	Dic₃	—	2	4	no	—
19	C₂³	C₂×D₃	1	1	yes	characteristic
20	C₂×C₄	—	3	4	no	—
21	C₂×C₄	—	6	4	no	—
22	C₂×C₄	Dic₃	1	4	yes	complemented
23	C₂×C₄	C₂×D₃	1	2	yes	—
24	C₂×C₃	C₄⋊C₄	1	4	yes	complemented
25	C₂×C₃	C₂²×C₄	1	1	yes	characteristic
26	C₂×C₃	C₂×D₄	1	1	yes	characteristic
27	C₂×C₃	C₂×Q₈	1	1	yes	characteristic
28	C₂²	Dic₆	1	2	yes	—
29	C₂²	D₁₂	1	2	yes	—
30	C₂²	C₂×Dic₃	1	2	yes	—
31	C₂²	C₂²×D₃	1	1	yes	characteristic
32	C₄	—	6	4	no	—
33	C₄	C₂×Dic₃	1	4	yes	complemented
34	C₃	C₂×C₄⋊C₄	1	1	yes	characteristic, complemented, Sylow
35	C₂	C₄⋊Dic₃	1	4	yes	direct product factor
36	C₂	C₂×Dic₆	1	1	yes	characteristic
37	C₂	C₂×D₁₂	1	1	yes	characteristic
38	C₂	C₂²×Dic₃	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.