Subgroups — #14581263

Order 2624.

46 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13050233	C₂	1	2	yes	maximal
2	C₁₆×D₄₁	C₂	1	1	yes	maximal, characteristic
3	C₄⋊#4223	—	2	2	no	—
4	C₈×D₄₁	C₂²	1	1	yes	characteristic
5	C₁₆×C₄₁	C₄	1	1	yes	characteristic, complemented
6	#10620268	C₄	1	1	yes	characteristic, complemented
7	C₂×#4223	—	4	2	no	—
8	C₄×D₄₁	D₄	1	1	yes	characteristic
9	C₈×C₄₁	C₂×C₄	1	1	yes	characteristic
10	#66491	Q₈	1	1	yes	characteristic
11	C₂×D₄₁	D₈	1	1	yes	characteristic
12	#4223	—	8	2	no	—
13	C₄×C₄₁	C₄⋊C₄	1	1	yes	characteristic
14	Dic₄₁	Q₁₆	1	1	yes	characteristic
15	C₂×C₄₁	#107	1	1	yes	characteristic
16	D₄₁	SD₃₂	1	2	yes	—
17	#367	—	41	1	no	maximal, Sylow
18	C₄₁	#367	1	1	yes	characteristic, complemented, Sylow
19	C₂×C₁₆	—	41	1	no	—
20	#107	—	41	2	no	—
21	C₂×C₈	—	41	1	no	—
22	C₄⋊C₄	—	82	2	no	—
23	C₁₆	—	41	1	no	—
24	C₁₆	#4223	1	1	yes	characteristic, complemented
25	C₂×C₄	—	41	1	no	—
26	C₂×C₄	—	164	2	no	—
27	C₈	—	41	1	no	—
28	C₈	C₂×#4223	1	1	yes	characteristic
29	C₂²	—	41	1	no	—
30	C₄	—	41	1	no	—
31	C₄	—	328	2	no	—
32	C₄	C₄⋊#4223	1	1	yes	characteristic
33	C₂	—	41	2	no	—
34	C₂	#13050233	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.