C₂²×C₅²×C₁₁×C₁₃ #28384695

order	14300
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	?
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₂×C₅

Aliases

abelian	C₂²×C₅²×C₁₁×C₁₃
multiplicative	(ℤ/15851)ˣ, (ℤ/31702)ˣ

160 conjugacy classes of subgroups.

minimal degree	μ(G) = 38
transitive degree	μ_t(G) = 14300

A minimal faithful permutation representation — 2 generators on 38 points:

(1,2)(5,6,7,8,9)(15,16,17,18,19,20,21,22,23,24,25)(26,27,28,29,30,31,32,33,34,35,36,37,38);(3,4)(10,11,12,13,14)

14300 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14300, 67);