C₁₉×C₂²⋊#95 #14559290

order	2432
nilpotency class	2
isoclinism	isoclinic class of #120
automorphism	?
homology	Abelianization (H₁) = C₂×C₄²×C₁₉ · Schur multiplier (H₂) = C₂⁷

Aliases

direct product	C₁₉×C₂²⋊#95
unambiguous semidirect product	C₂²⋊(C₁₉×#95)

1088 conjugacy classes of subgroups.

minimal degree	μ(G) = 35
transitive degree	μ_t(G) = 1216

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

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

1064 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 165);