Subgroups — #20265005

Order 6464.

46 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#15692189	C₂	1	2	yes	maximal
2	C₂×C₁₆×C₁₀₁	C₂	1	1	yes	maximal, characteristic
3	C₄⋊Dic₁₀₁	—	2	2	no	—
4	C₂×C₈×C₁₀₁	C₂²	1	1	yes	characteristic
5	C₁₆×C₁₀₁	C₄	1	2	yes	complemented
6	C₂×C₄×C₁₀₁	D₄	1	1	yes	characteristic
7	C₂×Dic₁₀₁	—	4	2	no	—
8	C₈×C₁₀₁	C₂×C₄	1	1	yes	characteristic
9	C₈×C₁₀₁	Q₈	1	1	yes	characteristic
10	C₂²×C₁₀₁	D₈	1	1	yes	characteristic
11	C₄×C₁₀₁	C₄⋊C₄	1	1	yes	characteristic
12	C₄×C₁₀₁	Q₁₆	1	1	yes	characteristic
13	Dic₁₀₁	—	8	2	no	—
14	C₂×C₁₀₁	#107	1	1	yes	characteristic
15	C₂×C₁₀₁	SD₃₂	1	2	yes	—
16	C₁₀₁	#367	1	1	yes	characteristic, complemented, Sylow
17	#367	—	101	1	no	maximal, Sylow
18	C₂×C₁₆	D₁₀₁	1	1	yes	characteristic
19	#107	—	101	2	no	—
20	C₂×C₈	C₂×D₁₀₁	1	1	yes	characteristic
21	C₄⋊C₄	—	202	2	no	—
22	C₁₆	Dic₁₀₁	1	2	yes	complemented
23	C₂×C₄	—	404	2	no	—
24	C₂×C₄	D₄₀₄	1	1	yes	characteristic
25	C₈	Dic₂₀₂	1	1	yes	characteristic
26	C₈	C₂×Dic₁₀₁	1	1	yes	characteristic
27	C₂²	D₈₀₈	1	1	yes	characteristic
28	C₄	—	808	2	no	—
29	C₄	C₄⋊Dic₁₀₁	1	1	yes	characteristic
30	C₄	Dic₄₀₄	1	1	yes	characteristic
31	C₂	#15692189	1	1	yes	characteristic
32	C₂	#15692200	1	2	yes	—

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