C₁₉×#672 #13095017

order	1520
isoclinism	isoclinic class of D₅
automorphism	?
homology	Abelianization (H₁) = C₁₆×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

derived, Sylow	C₅ ⋊ C₁₆×C₁₉
Hall	C₅×C₁₉ ⋊ C₁₆

20 conjugacy classes of subgroups.

minimal degree	μ(G) = 40
transitive degree	μ_t(G) = 1520

A minimal faithful permutation representation — 2 generators on 40 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19)(21,22)(23,24)(25,26,27,30,28,31,33,36,29,32,34,37,35,38,39,40);(20,21,23,24,22)

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1520, 1);