C₄×C₁₉×#97 #14559582

order	2432
nilpotency class	2
isoclinism	isoclinic class of D₄
automorphism	?
homology	Abelianization (H₁) = C₄³×C₁₉ · Schur multiplier (H₂) = C₂×C₄²

Aliases

C₄×C₁₉×#97

360 conjugacy classes of subgroups.

minimal degree	μ(G) = 35
transitive degree	μ_t(G) = 2432

A minimal faithful permutation representation — 3 generators on 35 points:

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

1520 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 457);