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