C₇⁴ #14558884

order	2401
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	?
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₇⁶

Aliases

C₇⁴

3652 conjugacy classes of subgroups.

minimal degree	μ(G) = 28
transitive degree	μ_t(G) = 2401

A minimal faithful permutation representation — 4 generators on 28 points:

(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)

2401 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2401, 15);