Subgroups — C₄⋊#157 #3790

Order 144.

42 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#157	C₂	1	2	yes	maximal
2	C₄×C₃⋊D₃	C₂	1	1	yes	maximal, characteristic
3	C₂×C₃⋊D₃	C₂²	1	1	yes	characteristic
4	#157	—	2	2	no	—
5	C₃²×C₄	C₄	1	1	yes	characteristic, complemented
6	C₃⋊Dic₃	C₄	1	1	yes	characteristic, complemented
7	C₄×D₃	—	6	2	no	—
8	C₂×C₃²	C₂×C₄	1	1	yes	characteristic
9	C₃⋊D₃	D₄	1	1	yes	characteristic
10	C₃⋊D₃	Q₈	1	1	yes	characteristic
11	C₄⋊C₄	—	9	1	no	maximal, Sylow
12	C₂×D₃	—	6	2	no	—
13	C₃×C₄	—	2	2	no	—
14	Dic₃	—	6	2	no	—
15	C₃²	C₄⋊C₄	1	1	yes	characteristic, complemented, Sylow
16	C₂×C₄	—	9	1	no	—
17	C₂×C₄	—	9	2	no	—
18	C₂×C₃	—	2	2	no	—
19	D₃	—	6	2	no	—
20	D₃	—	6	2	no	—
21	C₂²	—	9	1	no	—
22	C₄	—	9	1	no	—
23	C₄	—	18	2	no	—
24	C₄	#157	1	1	yes	characteristic, complemented
25	C₃	—	2	2	no	—
26	C₂	—	9	1	no	—
27	C₂	—	9	1	no	—
28	C₂	C₂×#157	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.