Subgroups — C₂⁵×D₁₀₁ #20266015

Order 6464.

5650 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂⁴×D₁₀₁	C₂	1	62	yes	maximal, direct product factor
2	C₂⁵×C₁₀₁	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂³×D₁₀₁	C₂²	1	620	yes	direct product factor
4	C₂⁴×C₁₀₁	C₂²	1	31	yes	complemented
5	C₂³×C₁₀₁	C₂³	1	155	yes	complemented
6	C₂²×D₁₀₁	C₂³	1	1240	yes	direct product factor
7	C₂²×C₁₀₁	C₂⁴	1	155	yes	complemented
8	C₂×D₁₀₁	C₂⁴	1	496	yes	direct product factor
9	C₂×C₁₀₁	C₂⁵	1	31	yes	complemented
10	D₁₀₁	C₂⁵	1	32	yes	direct product factor
11	C₁₀₁	C₂⁶	1	1	yes	characteristic, complemented, Sylow
12	C₂⁶	—	101	1	no	maximal, Sylow
13	C₂⁵	—	101	62	no	—
14	C₂⁵	D₁₀₁	1	1	yes	characteristic, direct product factor
15	C₂⁴	—	101	620	no	—
16	C₂⁴	C₂×D₁₀₁	1	31	yes	direct product factor
17	C₂³	—	101	1240	no	—
18	C₂³	C₂²×D₁₀₁	1	155	yes	direct product factor
19	C₂²	—	101	496	no	—
20	C₂²	C₂³×D₁₀₁	1	155	yes	direct product factor
21	C₂	—	101	32	no	—
22	C₂	C₂⁴×D₁₀₁	1	31	yes	direct product factor

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