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G = C₂₆  order 26 = 2·13

Cyclic group

direct product, cyclic, abelian, monomial

Aliases: C₂₆, also denoted Z₂₆, SmallGroup(26,2)

Series: Derived ►Chief ►Lower central ►Upper central

Generators and relations for C₂₆
 G = < a | a²⁶=1 >

Character table of C₂₆

(1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26)

G:=sub<Sym(26)| (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26)>;

G:=Group( (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26) );

G=PermutationGroup([[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26)]])

G:=TransitiveGroup(26,1);

C₂₆ is a maximal subgroup of   Dic₁₃

Matrix representation of C₂₆ ►in GL₁(𝔽₅₃) generated by

G:=sub<GL(1,GF(53))| [4] >;

C₂₆ in GAP, Magma, Sage, TeX

C_{26}

% in TeX

G:=Group("C26");

// GroupNames label

G:=SmallGroup(26,2);

// by ID

G=gap.SmallGroup(26,2);

# by ID

G:=PCGroup([2,-2,-13]);

// Polycyclic

G:=Group<a|a^26=1>;

// generators/relations

Export

Subgroup lattice of C₂₆ in TeX
Character table of C₂₆ in TeX