Subgroups — #20266122

Order 6464.

138 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	(C₂×#87938)⋊C₄	C₂	1	6	yes	maximal
2	C₄²×D₁₀₁	C₂	1	1	yes	maximal, characteristic
3	C₂²×#87938	C₂²	1	4	yes	—
4	C₂×C₄×D₁₀₁	C₂²	1	3	yes	—
5	C₄×Dic₁₀₁	C₄	1	3	yes	complemented
6	C₄²×C₁₀₁	C₄	1	1	yes	characteristic, complemented
7	C₂²×D₁₀₁	C₂³	1	1	yes	characteristic
8	C₂×#87938	—	2	12	no	—
9	C₂×C₄×C₁₀₁	C₂×C₄	1	3	yes	—
10	C₂×Dic₁₀₁	C₂×C₄	1	3	yes	—
11	C₄×D₁₀₁	—	2	6	no	—
12	C₂²×C₁₀₁	C₂²×C₄	1	1	yes	characteristic
13	C₂×D₁₀₁	#41	1	6	yes	—
14	#87938	—	4	4	no	—
15	C₄×C₁₀₁	—	2	3	no	—
16	Dic₁₀₁	—	2	3	no	—
17	C₂×C₁₀₁	#117	1	3	yes	—
18	D₁₀₁	#126	1	4	yes	—
19	C₁₀₁	#383	1	1	yes	characteristic, complemented, Sylow
20	#383	—	101	1	no	maximal, Sylow
21	C₂×C₄²	—	101	1	no	—
22	#95	—	101	6	no	—
23	C₂²×C₄	—	101	3	no	—
24	C₂²×C₄	—	101	4	no	—
25	C₄²	—	101	3	no	—
26	C₄²	#87938	1	1	yes	characteristic, complemented
27	C₂³	—	101	1	no	—
28	C₂×C₄	—	101	3	no	—
29	C₂×C₄	—	202	6	no	—
30	C₂×C₄	—	202	12	no	—
31	C₂×C₄	C₂×#87938	1	3	yes	—
32	C₂²	—	101	6	no	—
33	C₂²	C₂²×#87938	1	1	yes	characteristic
34	C₄	—	2	3	no	—
35	C₄	—	404	4	no	—
36	C₄	—	202	3	no	—
37	C₂	—	101	4	no	—
38	C₂	#15692334	1	3	yes	—

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