Subgroups — #14581255

Order 2624.

54 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13050239	C₂	1	1	yes	maximal, characteristic
2	#13050234	C₂	1	1	yes	maximal, characteristic
3	Q₁₆×D₄₁	C₂	1	1	yes	maximal, characteristic
4	Q₈×D₄₁	—	2	1	no	—
5	#10620297	—	2	1	no	—
6	Q₁₆×C₄₁	C₄	1	1	yes	characteristic
7	#10620285	—	2	1	no	—
8	Dic₁₆₄	C₄	1	1	yes	characteristic
9	C₈×D₄₁	C₂²	1	1	yes	characteristic
10	#10620270	—	2	1	no	—
11	Q₈×C₄₁	—	2	1	no	—
12	C₄×D₄₁	—	4	1	no	—
13	C₄×D₄₁	D₄	1	1	yes	characteristic
14	Dic₈₂	—	2	1	no	—
15	Dic₈₂	—	4	1	no	—
16	#66493	—	4	1	no	—
17	C₈×C₄₁	C₂×C₄	1	1	yes	characteristic
18	#66491	D₄	1	1	yes	characteristic
19	C₂×D₄₁	SD₁₆	1	1	yes	characteristic
20	C₄×C₄₁	—	4	1	no	—
21	C₄×C₄₁	C₂²⋊C₄	1	1	yes	characteristic
22	Dic₄₁	—	4	1	no	—
23	Dic₄₁	D₈	1	1	yes	characteristic
24	C₂×C₄₁	#102	1	1	yes	characteristic
25	D₄₁	—	2	1	no	—
26	#362	—	41	1	no	maximal, Sylow
27	C₄₁	#362	1	1	yes	characteristic, complemented, Sylow
28	C₂×Q₁₆	—	41	1	no	—
29	M₃₂	—	41	1	no	—
30	#108	—	41	1	no	—
31	C₂×Q₈	—	82	1	no	—
32	Q₁₆	—	41	1	no	—
33	Q₁₆	—	82	1	no	—
34	Q₁₆	#4223	1	1	yes	characteristic
35	M₁₆	—	82	1	no	—
36	C₂×C₈	—	41	1	no	—
37	C₁₆	—	82	1	no	—
38	Q₈	—	2	1	no	—
39	Q₈	—	82	1	no	—
40	Q₈	—	164	1	no	—
41	C₂×C₄	—	41	1	no	—
42	C₂×C₄	—	164	1	no	—
43	C₈	—	41	1	no	—
44	C₈	—	164	1	no	—
45	C₈	C₂×#4223	1	1	yes	characteristic
46	C₂²	—	41	1	no	—
47	C₄	—	4	1	no	—
48	C₄	—	41	1	no	—
49	C₄	—	164	1	no	—
50	C₄	C₂²⋊#4223	1	1	yes	characteristic
51	C₂	—	82	1	no	—
52	C₂	#13050226	1	1	yes	characteristic

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

N	H ≅ G/N	type
27. C₄₁	#362	semidirect

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