Subgroups — #14520095

Order 1968.

40 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	Dic₂₄₆	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×D₁₆₄	C₂	1	1	yes	maximal, characteristic
3	C₃⋊C₈×C₄₁	C₂	1	1	yes	maximal, characteristic, complemented
4	#10620273	—	3	1	no	maximal, Hall
5	C₂×C₃×D₄₁	—	2	1	no	—
6	C₃×C₄×C₄₁	C₂²	1	1	yes	characteristic
7	Dic₁₂₃	—	2	1	no	—
8	D₁₆₄	D₃	1	1	yes	characteristic
9	Dic₈₂	—	3	1	no	—
10	C₈×C₄₁	—	3	1	no	—
11	C₂×C₃×C₄₁	D₄	1	1	yes	characteristic
12	C₃×D₄₁	—	4	1	no	—
13	C₂×D₄₁	—	2	1	no	—
14	C₄×C₄₁	C₂×D₃	1	1	yes	characteristic
15	Dic₄₁	—	6	1	no	—
16	C₃×C₄₁	SD₁₆	1	1	yes	characteristic, complemented, Hall
17	C₂×C₄₁	#67	1	1	yes	characteristic
18	D₄₁	—	4	1	no	—
19	#214	—	41	1	no	maximal, Hall
20	C₄₁	#214	1	1	yes	characteristic, complemented, Sylow
21	C₃×D₄	—	41	1	no	—
22	Dic₆	—	41	1	no	—
23	C₃⋊C₈	D₄₁	1	1	yes	characteristic, complemented
24	SD₁₆	—	123	1	no	Sylow
25	C₂²×C₃	—	82	1	no	—
26	C₃×C₄	C₂×D₄₁	1	1	yes	characteristic
27	Dic₃	—	82	1	no	—
28	Q₈	—	123	1	no	—
29	D₄	—	41	1	no	—
30	C₈	—	3	1	no	—
31	C₂×C₃	—	164	1	no	—
32	C₂×C₃	D₁₆₄	1	1	yes	characteristic
33	C₂²	—	82	1	no	—
34	C₄	—	246	1	no	—
35	C₄	D₃×D₄₁	1	1	yes	characteristic
36	C₃	#10620273	1	1	yes	characteristic, complemented, Sylow
37	C₂	—	164	1	no	—
38	C₂	#11758297	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.