Subgroups — C₄×C₃⋊#4223 #14520193

Order 1968.

60 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃⋊#4223	C₂	1	2	yes	maximal
2	C₃×C₄×D₄₁	C₂	1	1	yes	maximal, characteristic
3	C₄×#4223	—	3	1	no	maximal, Hall
4	C₂×C₃×D₄₁	C₂²	1	1	yes	characteristic
5	C₃⋊#4223	C₄	1	4	yes	direct product factor
6	C₃×C₄×C₄₁	C₄	1	1	yes	characteristic, complemented
7	C₃×Dic₄₁	C₄	1	1	yes	characteristic, complemented
8	C₂×#4223	—	3	2	no	—
9	C₄×D₄₁	D₃	1	1	yes	characteristic
10	C₂×C₃×C₄₁	C₂×C₄	1	1	yes	characteristic
11	C₃×D₄₁	C₂×C₄	1	2	yes	—
12	C₂×D₄₁	C₂×D₃	1	1	yes	characteristic
13	#4223	—	3	4	no	—
14	C₄×C₄₁	Dic₃	1	1	yes	characteristic, complemented
15	Dic₄₁	Dic₃	1	1	yes	characteristic, complemented
16	C₃×C₄₁	C₄²	1	1	yes	characteristic, complemented, Hall
17	C₂×C₄₁	C₂×Dic₃	1	1	yes	characteristic
18	D₄₁	C₄×D₃	1	2	yes	—
19	C₄×Dic₃	—	41	1	no	maximal, Hall
20	C₄₁	C₄×Dic₃	1	1	yes	characteristic, complemented, Sylow
21	C₂×C₃×C₄	—	41	1	no	—
22	C₂×Dic₃	—	41	2	no	—
23	C₄²	—	123	1	no	Sylow
24	C₂²×C₃	—	41	1	no	—
25	C₃×C₄	—	41	1	no	—
26	C₃×C₄	#4223	1	1	yes	characteristic, complemented
27	Dic₃	—	41	4	no	—
28	C₂×C₄	—	41	1	no	—
29	C₂×C₄	—	123	2	no	—
30	C₂×C₃	—	41	2	no	—
31	C₂×C₃	C₂×#4223	1	1	yes	characteristic
32	C₂²	—	41	1	no	—
33	C₄	—	41	1	no	—
34	C₄	—	123	4	no	—
35	C₄	C₃⋊#4223	1	1	yes	characteristic, direct product factor
36	C₃	C₄×#4223	1	1	yes	characteristic, complemented, Sylow
37	C₂	—	41	2	no	—
38	C₂	C₂×C₃⋊#4223	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.