Degree 6
Description
The data in each file is presented as a table where
-
\(n\): is the degree of the transitive group
-
\(k\): is the number in the library of transitive groups in
Sagemath
-
Description: the structure description of the group
-
Density: the intersection density of \(\operatorname{TransitiveGroup}(n,k)\)
-
Information: this entry either is either Abelian (in which case the intersection density is \(1\) and the group is regular) or a link to a file containing further information on the derangement graph of \(\operatorname{TransitiveGroup}(n,k)\).
Data
n | k | Description | Density | Information |
---|---|---|---|---|
6 | 1 | C6 | 1 | Abelian |
6 | 2 | S3 | 1 | details |
6 | 3 | D6 | 1 | details |
6 | 4 | A4 | 2 | details |
6 | 5 | C3 x S3 | 1 | details |
6 | 6 | C2 x A4 | 1 | details |
6 | 7 | S4 | 1 | details |
6 | 8 | S4 | 1 | details |
6 | 9 | S3 x S3 | 1 | details |
6 | 10 | (C3 x C3) : C4 | 1 | details |
6 | 11 | C2 x S4 | 1 | details |
6 | 12 | A5 | 1 | details |
6 | 13 | (S3 x S3) : C2 | 1 | details |
6 | 14 | S5 | 1 | details |
6 | 15 | A6 | 1 | details |
6 | 16 | S6 | 1 | details |