Subgroups — C₃×#10620283 #14520122

Order 1968.

40 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×D₄×C₄₁	C₂	1	1	yes	maximal, characteristic
2	C₃×Dic₈₂	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#66491	C₂	1	1	yes	maximal, characteristic, complemented
4	#10620283	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
5	C₂²×C₃×C₄₁	—	2	1	no	—
6	C₃×C₄×C₄₁	C₂²	1	1	yes	characteristic
7	C₃×Dic₄₁	—	2	1	no	—
8	D₄×C₄₁	C₂×C₃	1	1	yes	characteristic
9	Dic₈₂	C₂×C₃	1	1	yes	characteristic, complemented
10	#66491	C₂×C₃	1	1	yes	characteristic, complemented
11	C₂×C₃×C₄₁	—	4	1	no	—
12	C₂×C₃×C₄₁	D₄	1	1	yes	characteristic
13	C₂²×C₄₁	—	2	1	no	—
14	C₄×C₄₁	C₂²×C₃	1	1	yes	characteristic
15	Dic₄₁	—	2	1	no	—
16	C₃×C₄₁	SD₁₆	1	1	yes	characteristic, complemented, Hall
17	C₂×C₄₁	—	4	1	no	—
18	C₂×C₄₁	C₃×D₄	1	1	yes	characteristic
19	C₃×SD₁₆	—	41	1	no	maximal, Hall
20	C₄₁	C₃×SD₁₆	1	1	yes	characteristic, complemented, Sylow
21	C₃×Q₈	—	41	1	no	—
22	C₃×D₄	D₄₁	1	1	yes	characteristic
23	C₃×C₈	—	41	1	no	—
24	SD₁₆	—	41	1	no	Sylow
25	C₂²×C₃	—	2	1	no	—
26	C₃×C₄	—	82	1	no	—
27	C₃×C₄	C₂×D₄₁	1	1	yes	characteristic
28	Q₈	—	41	1	no	—
29	D₄	C₃×D₄₁	1	1	yes	characteristic
30	C₈	—	41	1	no	—
31	C₂×C₃	—	4	1	no	—
32	C₂×C₃	C₂²⋊D₄₁	1	1	yes	characteristic
33	C₂²	—	2	1	no	—
34	C₄	—	82	1	no	—
35	C₄	C₂×C₃×D₄₁	1	1	yes	characteristic
36	C₃	#10620283	1	1	yes	characteristic, direct product factor, Sylow
37	C₂	—	4	1	no	—
38	C₂	C₃×C₂²⋊D₄₁	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.