C₉×#3947 #13083776

order	1440
isoclinism	isoclinic class of Dic₁₀
automorphism	?
homology	Abelianization (H₁) = C₄²×C₉ · Schur multiplier (H₂) = C₂

Aliases

Hall	C₅×C₉ ⋊ #97
Sylow	C₅ ⋊ C₉×#97

120 conjugacy classes of subgroups.

minimal degree	μ(G) = 26
transitive degree	μ_t(G) = 1440

A minimal faithful permutation representation — 2 generators on 26 points:

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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1440, 93);