Subgroups — #20266083

Order 6464.

70 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#15692314	C₂	1	2	yes	maximal
2	#15692244	C₂	1	1	yes	maximal, characteristic
3	C₂²⋊#87938	—	2	2	no	—
4	C₂×D₄₀₄	C₂²	1	1	yes	characteristic
5	#13108051	—	2	2	no	—
6	C₄×Dic₁₀₁	C₄	1	1	yes	characteristic, complemented
7	C₂×Q₈×C₁₀₁	C₄	1	1	yes	characteristic, complemented
8	C₂²×D₁₀₁	D₄	1	2	yes	—
9	C₂×#87938	—	4	2	no	—
10	Q₈×C₁₀₁	—	4	1	no	—
11	C₂×C₄×C₁₀₁	—	2	1	no	—
12	C₂×C₄×C₁₀₁	C₂×C₄	1	1	yes	characteristic
13	C₂×Dic₁₀₁	—	2	1	no	—
14	D₄₀₄	—	4	1	no	—
15	C₂²×C₁₀₁	C₂²⋊C₄	1	1	yes	characteristic
16	C₂×D₁₀₁	—	2	2	no	—
17	C₂×D₁₀₁	—	4	2	no	—
18	#87938	—	8	2	no	—
19	C₄×C₁₀₁	—	2	1	no	—
20	C₄×C₁₀₁	—	4	1	no	—
21	Dic₁₀₁	—	4	1	no	—
22	C₂×C₁₀₁	—	2	1	no	—
23	C₂×C₁₀₁	#99	1	1	yes	characteristic
24	D₁₀₁	—	4	2	no	—
25	C₁₀₁	#354	1	1	yes	characteristic, complemented, Sylow
26	#354	—	101	1	no	maximal, Sylow
27	#124	—	101	1	no	—
28	#99	—	101	2	no	—
29	C₂×Q₈	#87938	1	1	yes	characteristic, complemented
30	C₂×D₄	—	101	1	no	—
31	C₂²⋊C₄	—	202	2	no	—
32	C₂²⋊C₄	—	202	2	no	—
33	C₄²	—	101	1	no	—
34	C₂³	—	101	2	no	—
35	Q₈	—	4	1	no	—
36	D₄	—	404	1	no	—
37	C₂×C₄	—	2	1	no	—
38	C₂×C₄	—	404	2	no	—
39	C₂×C₄	—	202	1	no	—
40	C₂×C₄	C₂×#87938	1	1	yes	characteristic
41	C₂²	—	404	2	no	—
42	C₂²	—	202	2	no	—
43	C₂²	C₂²⋊#87938	1	1	yes	characteristic
44	C₄	—	2	1	no	—
45	C₄	—	4	1	no	—
46	C₄	—	808	2	no	—
47	C₄	—	404	1	no	—
48	C₂	—	2	1	no	—
49	C₂	—	404	2	no	—
50	C₂	#15692313	1	1	yes	characteristic

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