Subgroups — #14520101

Order 1968.

36 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	Dic₂₄₆	C₂	1	1	yes	maximal, characteristic
2	Dic₆×C₄₁	C₂	1	1	yes	maximal, characteristic
3	C₃×#66491	C₂	1	1	yes	maximal, characteristic
4	#10620285	—	3	1	no	maximal, Hall
5	C₃×C₄×C₄₁	C₂²	1	1	yes	characteristic
6	Dic₁₂₃	—	2	1	no	—
7	Dic₃×C₄₁	—	2	1	no	—
8	Q₈×C₄₁	—	3	1	no	—
9	Dic₈₂	—	3	1	no	—
10	#66491	D₃	1	1	yes	characteristic
11	C₂×C₃×C₄₁	D₄	1	1	yes	characteristic
12	C₄×C₄₁	—	6	1	no	—
13	C₄×C₄₁	C₂×D₃	1	1	yes	characteristic
14	Dic₄₁	—	6	1	no	—
15	C₃×C₄₁	Q₁₆	1	1	yes	characteristic, complemented, Hall
16	C₂×C₄₁	D₁₂	1	1	yes	characteristic
17	Dic₁₂	—	41	1	no	maximal, Hall
18	C₄₁	Dic₁₂	1	1	yes	characteristic, complemented, Sylow
19	Dic₆	—	41	1	no	—
20	Dic₆	D₄₁	1	1	yes	characteristic
21	C₃×C₈	—	41	1	no	—
22	Q₁₆	—	123	1	no	Sylow
23	C₃×C₄	C₂×D₄₁	1	1	yes	characteristic
24	Dic₃	—	2	1	no	—
25	Dic₃	—	82	1	no	—
26	Q₈	—	3	1	no	—
27	Q₈	—	123	1	no	—
28	C₈	—	41	1	no	—
29	C₂×C₃	C₂²⋊D₄₁	1	1	yes	characteristic
30	C₄	—	6	1	no	—
31	C₄	—	246	1	no	—
32	C₄	D₃×D₄₁	1	1	yes	characteristic
33	C₃	#10620285	1	1	yes	characteristic, complemented, Sylow
34	C₂	#11758298	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.