Subgroups — C₂×#213 #931

Order 96.

76 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×D₄	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₁₂	C₂	1	1	yes	maximal, characteristic, complemented
3	#213	C₂	1	4	yes	maximal, direct product factor
4	C₂×C₃⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×D₈	—	3	1	no	maximal, Sylow
6	C₂³×C₃	—	2	1	no	—
7	C₂²×D₃	—	2	1	no	—
8	C₃×D₄	—	2	1	no	—
9	C₃×D₄	C₂²	1	2	yes	complemented
10	C₂×C₃×C₄	C₂²	1	1	yes	characteristic
11	D₁₂	—	2	1	no	—
12	D₁₂	C₂²	1	2	yes	complemented
13	C₃⋊C₈	C₂²	1	2	yes	complemented
14	C₂×D₄	—	3	1	no	—
15	C₂×D₄	D₃	1	1	yes	characteristic, complemented
16	D₈	—	3	4	no	—
17	C₂×C₈	—	3	1	no	—
18	C₂²×C₃	—	2	2	no	—
19	C₂²×C₃	—	4	2	no	—
20	C₂²×C₃	D₄	1	1	yes	characteristic
21	C₂×D₃	—	2	2	no	—
22	C₂×D₃	—	4	2	no	—
23	C₃×C₄	D₄	1	1	yes	characteristic
24	C₃×C₄	C₂³	1	1	yes	characteristic
25	C₂³	—	2	1	no	—
26	C₂³	—	6	1	no	—
27	D₄	—	2	1	no	—
28	D₄	—	3	2	no	—
29	D₄	—	6	1	no	—
30	D₄	C₂×D₃	1	2	yes	complemented
31	C₂×C₄	C₂×D₃	1	1	yes	characteristic
32	C₈	—	3	2	no	—
33	C₂×C₃	—	4	2	no	—
34	C₂×C₃	D₈	1	2	yes	complemented
35	C₂×C₃	C₂×D₄	1	1	yes	characteristic
36	D₃	—	4	2	no	—
37	C₂²	—	2	2	no	—
38	C₂²	—	4	2	no	—
39	C₂²	—	6	2	no	—
40	C₂²	—	12	2	no	—
41	C₂²	#67	1	1	yes	characteristic
42	C₄	#67	1	1	yes	characteristic
43	C₄	C₂²×D₃	1	1	yes	characteristic
44	C₃	C₂×D₈	1	1	yes	characteristic, complemented, Sylow
45	C₂	—	4	2	no	—
46	C₂	—	12	2	no	—
47	C₂	#213	1	2	yes	direct product factor
48	C₂	C₂×#67	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.