Subgroups — #14581259

Order 2624.

46 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13050238	C₂	1	2	yes	maximal
2	C₄×#66491	C₂	1	1	yes	maximal, characteristic
3	C₄²×C₄₁	C₄	1	1	yes	characteristic
4	C₂×#66491	C₄	1	1	yes	characteristic
5	C₂×#66491	C₂²	1	1	yes	characteristic
6	#10620270	—	2	2	no	—
7	C₂×C₄×C₄₁	—	2	1	no	—
8	C₂×C₄×C₄₁	C₂×C₄	1	1	yes	characteristic
9	#66491	C₈	1	2	yes	—
10	#66491	D₄	1	1	yes	characteristic
11	#66491	Q₈	1	1	yes	characteristic
12	C₂²×C₄₁	M₁₆	1	1	yes	characteristic
13	C₄×C₄₁	—	2	2	no	—
14	C₄×C₄₁	C₄⋊C₄	1	1	yes	characteristic
15	C₄×C₄₁	C₂×C₈	1	1	yes	characteristic
16	C₂×C₄₁	—	2	1	no	—
17	C₂×C₄₁	C₄⋊C₈	1	1	yes	characteristic
18	#364	—	41	1	no	maximal, Sylow
19	C₄₁	#364	1	1	yes	characteristic, complemented, Sylow
20	M₃₂	—	41	2	no	—
21	C₄×C₈	—	41	1	no	—
22	C₂×C₈	—	41	1	no	—
23	C₂×C₈	—	41	1	no	—
24	C₄²	#4223	1	1	yes	characteristic
25	C₁₆	—	82	2	no	—
26	C₂×C₄	—	2	1	no	—
27	C₂×C₄	C₂×#4223	1	1	yes	characteristic
28	C₈	—	41	2	no	—
29	C₈	—	41	1	no	—
30	C₈	—	41	1	no	—
31	C₂²	#10620301	1	1	yes	characteristic
32	C₄	—	2	2	no	—
33	C₄	#10620296	1	1	yes	characteristic
34	C₄	C₄⋊#4223	1	1	yes	characteristic
35	C₂	—	2	1	no	—
36	C₂	#13050231	1	1	yes	characteristic

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
19. C₄₁	#364	semidirect

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.