Subgroups — C₈×#11717581 #20266017

Order 6464.

74 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×#11717581	C₂	1	2	yes	maximal
2	C₈×Dic₁₀₁	C₂	1	1	yes	maximal, characteristic
3	C₂×#11717581	C₄	1	4	yes	—
4	C₂×#11717579	C₄	1	1	yes	characteristic
5	C₄×Dic₁₀₁	C₂²	1	1	yes	characteristic
6	C₂×C₈×C₁₀₁	C₄	1	1	yes	characteristic
7	C₂×C₄×C₁₀₁	C₂×C₄	1	1	yes	characteristic
8	C₂×Dic₁₀₁	C₂×C₄	1	2	yes	—
9	#11717581	C₈	1	8	yes	direct product factor
10	C₈×C₁₀₁	C₈	1	2	yes	complemented
11	#11717579	C₈	1	2	yes	complemented
12	C₂²×C₁₀₁	C₄²	1	1	yes	characteristic
13	C₄×C₁₀₁	C₂×C₈	1	1	yes	characteristic
14	C₄×C₁₀₁	C₂×C₈	1	1	yes	characteristic
15	Dic₁₀₁	C₂×C₈	1	4	yes	—
16	C₂×C₁₀₁	C₄×C₈	1	2	yes	—
17	C₂×C₁₀₁	C₄×C₈	1	1	yes	characteristic
18	C₁₀₁	C₈²	1	1	yes	characteristic, complemented, Sylow
19	C₈²	—	101	1	no	maximal, Sylow
20	C₄×C₈	—	101	2	no	—
21	C₄×C₈	—	101	1	no	—
22	C₂×C₈	—	101	4	no	—
23	C₂×C₈	—	101	1	no	—
24	C₂×C₈	#87938	1	1	yes	characteristic
25	C₄²	—	101	1	no	—
26	C₂×C₄	—	101	2	no	—
27	C₂×C₄	C₂×#87938	1	1	yes	characteristic
28	C₈	—	101	8	no	—
29	C₈	—	101	2	no	—
30	C₈	#11717581	1	2	yes	direct product factor
31	C₂²	C₄×#87938	1	1	yes	characteristic
32	C₄	—	101	4	no	—
33	C₄	C₂×#11717581	1	1	yes	characteristic
34	C₄	D₁₀₁⋊C₈	1	1	yes	characteristic
35	C₂	C₈×#87938	1	2	yes	—
36	C₂	C₄×#11717581	1	1	yes	characteristic

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