Subgroups — C₃⋊#95 #831

Order 96.

76 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	#95	—	3	1	no	maximal, Sylow
4	C₂³×C₃	C₂²	1	1	yes	characteristic
5	C₂×C₃×C₄	—	2	2	no	—
6	C₂×C₃×C₄	C₄	1	2	yes	complemented
7	C₂×Dic₃	—	2	2	no	—
8	C₂×Dic₃	—	2	2	no	—
9	C₂×Dic₃	C₄	1	4	yes	complemented
10	C₂²×C₄	—	3	2	no	—
11	C₂²×C₄	D₃	1	1	yes	characteristic
12	C₂²×C₃	C₂×C₄	1	2	yes	—
13	C₂²×C₃	C₂×C₄	1	1	yes	characteristic
14	C₂²×C₃	D₄	1	1	yes	characteristic
15	C₂²×C₃	D₄	1	2	yes	—
16	C₂²×C₃	Q₈	1	1	yes	characteristic
17	C₃×C₄	—	2	2	no	—
18	Dic₃	—	2	4	no	—
19	C₂³	C₂×D₃	1	1	yes	characteristic
20	C₂×C₄	—	2	2	no	—
21	C₂×C₄	—	3	4	no	—
22	C₂×C₄	—	6	2	no	—
23	C₂×C₄	—	6	2	no	—
24	C₂×C₄	Dic₃	1	2	yes	complemented
25	C₂×C₃	C₄²	1	1	yes	characteristic
26	C₂×C₃	C₂²⋊C₄	1	2	yes	—
27	C₂×C₃	C₂²⋊C₄	1	1	yes	characteristic
28	C₂×C₃	C₄⋊C₄	1	2	yes	—
29	C₂×C₃	C₄⋊C₄	1	1	yes	characteristic
30	C₂²	Dic₆	1	1	yes	characteristic
31	C₂²	C₄×D₃	1	2	yes	—
32	C₂²	D₁₂	1	1	yes	characteristic
33	C₂²	C₂×Dic₃	1	1	yes	characteristic
34	C₂²	#67	1	2	yes	—
35	C₄	—	2	2	no	—
36	C₄	—	6	4	no	—
37	C₃	#95	1	1	yes	characteristic, complemented, Sylow
38	C₂	C₄×Dic₃	1	1	yes	characteristic
39	C₂	Dic₃⋊C₄	1	2	yes	—
40	C₂	C₄⋊Dic₃	1	1	yes	characteristic
41	C₂	(C₂×D₃)⋊C₄	1	2	yes	—
42	C₂	#217	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.