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G = C₂₉  order 29

Cyclic group

p-group, cyclic, elementary abelian, simple, monomial

Aliases: C₂₉, also denoted Z₂₉, SmallGroup(29,1)

Series: Derived ►Chief ►Lower central ►Upper central ►Jennings

Generators and relations for C₂₉
 G = < a | a²⁹=1 >

Character table of C₂₉

(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 27 28 29)

G:=sub<Sym(29)| (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29)>;

G:=Group( (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29) );

G=PermutationGroup([[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29)]])

G:=TransitiveGroup(29,1);

C₂₉ is a maximal subgroup of   D₂₉  C₂₉⋊C₇

Matrix representation of C₂₉ ►in GL₁(𝔽₅₉) generated by

G:=sub<GL(1,GF(59))| [9] >;

C₂₉ in GAP, Magma, Sage, TeX

C_{29}

% in TeX

G:=Group("C29");

// GroupNames label

G:=SmallGroup(29,1);

// by ID

G=gap.SmallGroup(29,1);

# by ID

G:=PCGroup([1,-29]:ExponentLimit:=1);

// Polycyclic

G:=Group<a|a^29=1>;

// generators/relations

Export

Subgroup lattice of C₂₉ in TeX
Character table of C₂₉ in TeX