C₉×#4324 #13096879

order	1584
isoclinism	isoclinic class of #4323
automorphism	?
homology	Abelianization (H₁) = C₂²×C₉ · Schur multiplier (H₂) = C₁

Aliases

Hall	C₉×C₁₁ ⋊ SD₁₆
Sylow	C₁₁ ⋊ C₉×SD₁₆

60 conjugacy classes of subgroups.

minimal degree	μ(G) = 28
transitive degree	μ_t(G) = 792

A minimal faithful permutation representation — 2 generators on 28 points:

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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1584, 43);