C₅×#64083 #13088057

order	1440
automorphism	?
homology	Abelianization (H₁) = C₂³×C₅ · Schur multiplier (H₂) = C₂²×C₃×C₄

Aliases

648 conjugacy classes of subgroups.

minimal degree	μ(G) = 19
transitive degree	μ_t(G) = 720

A minimal faithful permutation representation — 3 generators on 19 points:

(1,2,3,4,5)(9,10,11)(16,17,18,19);(6,7,8)(12,13,14,15);(7,8)(10,11)(13,15)(17,19)

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

maximal subgroup of	D₅×#64083, C₅×C₃⋊D₃×#127, #72231592
maximal normal subgroup of	D₅×#64083, C₅×C₃⋊D₃×#127, #72231592

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1440, 4374);