Subgroups — #20266102

Order 6464.

42 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#15692325	C₂	1	1	yes	maximal, characteristic
2	#15692323	C₂	1	1	yes	maximal, characteristic
3	#15692194	C₂	1	1	yes	maximal, characteristic
4	#13108084	—	2	1	no	—
5	C₄⋊#87938	—	2	1	no	—
6	C₈×D₁₀₁	C₂²	1	1	yes	characteristic
7	#13108049	C₄	1	1	yes	characteristic, complemented
8	C₁₆×C₁₀₁	C₄	1	1	yes	characteristic, complemented
9	C₂×#87938	—	4	1	no	—
10	C₄×D₁₀₁	D₄	1	1	yes	characteristic
11	#11717581	—	4	1	no	—
12	C₈×C₁₀₁	C₂×C₄	1	1	yes	characteristic
13	#11717579	Q₈	1	1	yes	characteristic
14	C₂×D₁₀₁	SD₁₆	1	1	yes	characteristic
15	#87938	—	8	1	no	—
16	C₄×C₁₀₁	C₄⋊C₄	1	1	yes	characteristic
17	Dic₁₀₁	SD₁₆	1	1	yes	characteristic
18	C₂×C₁₀₁	#106	1	1	yes	characteristic
19	D₁₀₁	—	2	1	no	—
20	C₁₀₁	#365	1	1	yes	characteristic, complemented, Sylow
21	#365	—	101	1	no	maximal, Sylow
22	M₃₂	—	101	1	no	—
23	#108	—	101	1	no	—
24	#106	—	101	1	no	—
25	M₁₆	—	202	1	no	—
26	C₂×C₈	—	101	1	no	—
27	C₄⋊C₄	—	202	1	no	—
28	C₁₆	—	101	1	no	—
29	C₁₆	#87938	1	1	yes	characteristic, complemented
30	C₂×C₄	—	101	1	no	—
31	C₂×C₄	—	404	1	no	—
32	C₈	—	101	1	no	—
33	C₈	—	404	1	no	—
34	C₈	C₂×#87938	1	1	yes	characteristic
35	C₂²	—	101	1	no	—
36	C₄	—	808	1	no	—
37	C₄	—	101	1	no	—
38	C₄	C₄⋊#87938	1	1	yes	characteristic
39	C₂	—	202	1	no	—
40	C₂	#15692323	1	1	yes	characteristic

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