Description
The data in each file is presented as a table where
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\(n\): is the degree of the transitive group
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\(k\): is the number in the library of transitive groups in
Sagemath
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Description: the structure description of the group
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Density: the intersection density of \(\operatorname{TransitiveGroup}(n,k)\)
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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 |
---|---|---|---|---|
10 | 1 | C10 | 1 | Abelian |
10 | 2 | D5 | 1 | details |
10 | 3 | D10 | 1.0 | details |
10 | 4 | C5 : C4 | 1.0 | details |
10 | 5 | C2 x (C5 : C4) | 1.0 | details |
10 | 6 | C5 x D5 | 1.0 | details |
10 | 7 | A5 | 2.0 | details |
10 | 8 | (C2 x C2 x C2 x C2) : C5 | 2.0 | details |
10 | 9 | D5 x D5 | 1.0 | details |
10 | 10 | (C5 x C5) : C4 | 1.0 | details |
10 | 11 | C2 x A5 | 1.0 | details |
10 | 12 | S5 | 1.0 | details |
10 | 13 | S5 | 1 | details |
10 | 14 | C2 x ((C2 x C2 x C2 x C2) : C5) | 1.0 | details |
10 | 15 | ((C2 x C2 x C2 x C2) : C5) : C2 | 1.0 | details |
10 | 16 | ((C2 x C2 x C2 x C2) : C5) : C2 | 1.0 | details |
10 | 17 | (C5 x C5) : (C4 x C2) | 1.0 | details |
10 | 18 | (C5 x C5) : C8 | 1.0 | details |
10 | 19 | (C5 x C5) : D4 | 1.0 | details |
10 | 20 | (C5 x C5) : Q8 | 1.0 | details |
10 | 21 | (C5 x C5) : D4 | 1.0 | details |
10 | 22 | C2 x S5 | 1.0 | details |
10 | 23 | C2 x (((C2 x C2 x C2 x C2) : C5) : C2) | 1.0 | details |
10 | 24 | ((C2 x C2 x C2 x C2) : C5) : C4 | 1.0 | details |
10 | 25 | ((C2 x C2 x C2 x C2) : C5) : C4 | 1.0 | details |
10 | 26 | A6 | 1 | details |
10 | 27 | (C5 x C5) : ((C4 x C2) : C2) | 1.0 | details |
10 | 28 | (C5 x C5) : (C8 : C2) | 1.0 | details |
10 | 29 | C2 x (((C2 x C2 x C2 x C2) : C5) : C4) | 1.0 | details |
10 | 30 | A6 : C2 | 1 | details |
10 | 31 | A6 . C2 | 1 | details |
10 | 32 | S6 | 1 | details |
10 | 33 | (C5 x C5) : ((C4 x C4) : C2) | 1.0 | details |
10 | 34 | (C2 x C2 x C2 x C2) : A5 | 1.0 | details |
10 | 35 | (A6 . C2) : C2 | 1 | details |
10 | 36 | C2 x ((C2 x C2 x C2 x C2) : A5) | 1.0 | details |
10 | 37 | (C2 x C2 x C2 x C2) : S5 | 1.0 | details |
10 | 38 | (C2 x C2 x C2 x C2) : S5 | 1.0 | details |
10 | 39 | C2 x ((C2 x C2 x C2 x C2) : S5) | 1.0 | details |
10 | 40 | (A5 x A5) : C2 | 1.0 | details |
10 | 41 | (A5 x A5) : (C2 x C2) | 1.0 | details |
10 | 42 | (A5 x A5) : C4 | 1.0 | details |
10 | 43 | (A5 x A5) : D4 | 1.0 | details |
10 | 44 | A10 | 1 | details |
10 | 45 | S10 | 1 | details |