Subgroups — C₈×#11717579 #20264897

Order 6464.

74 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×#11717579	C₂	1	2	yes	maximal
2	C₄×C₈×C₁₀₁	C₂	1	1	yes	maximal, characteristic
3	C₂×#11717579	C₄	1	4	yes	—
4	C₂×C₈×C₁₀₁	C₄	1	2	yes	—
5	C₄²×C₁₀₁	C₂²	1	1	yes	characteristic
6	C₂×C₄×C₁₀₁	C₂×C₄	1	2	yes	—
7	C₂×C₄×C₁₀₁	C₂×C₄	1	1	yes	characteristic
8	C₈×C₁₀₁	C₈	1	4	yes	complemented
9	#11717579	C₈	1	8	yes	direct product factor
10	C₂²×C₁₀₁	C₄²	1	1	yes	characteristic
11	C₄×C₁₀₁	C₂×C₈	1	4	yes	—
12	C₄×C₁₀₁	C₂×C₈	1	2	yes	—
13	C₂×C₁₀₁	C₄×C₈	1	2	yes	—
14	C₂×C₁₀₁	C₄×C₈	1	1	yes	characteristic
15	C₁₀₁	C₈²	1	1	yes	characteristic, complemented, Sylow
16	C₈²	—	101	1	no	maximal, Sylow
17	C₄×C₈	—	101	2	no	—
18	C₄×C₈	D₁₀₁	1	1	yes	characteristic
19	C₂×C₈	—	101	4	no	—
20	C₂×C₈	Dic₁₀₁	1	2	yes	—
21	C₄²	C₂×D₁₀₁	1	1	yes	characteristic
22	C₂×C₄	C₄×D₁₀₁	1	2	yes	—
23	C₂×C₄	C₂×Dic₁₀₁	1	1	yes	characteristic
24	C₈	—	101	8	no	—
25	C₈	#11717579	1	4	yes	direct product factor
26	C₂²	C₄×Dic₁₀₁	1	1	yes	characteristic
27	C₄	C₈×D₁₀₁	1	4	yes	—
28	C₄	C₂×#11717579	1	2	yes	—
29	C₂	C₈×Dic₁₀₁	1	2	yes	—
30	C₂	C₄×#11717579	1	1	yes	characteristic

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