C₁₇×#713 #13062835

order	1360
automorphism	?
homology	Abelianization (H₁) = C₂³×C₁₇ · Schur multiplier (H₂) = C₂²

Aliases

80 conjugacy classes of subgroups.

minimal degree	μ(G) = 30
transitive degree	μ_t(G) = 680

A minimal faithful permutation representation — 3 generators on 30 points:

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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1360, 203);