C₁₁×#3667 #13096889

order	1584
isoclinism	isoclinic class of Dic₁₈
automorphism	?
homology	Abelianization (H₁) = C₂×C₄×C₁₁ · Schur multiplier (H₂) = C₁

Aliases

Hall	C₉×C₁₁ ⋊ M₁₆
Sylow	C₉ ⋊ C₁₁×M₁₆

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)(12,17,19,18,13,15,14,20,16)(22,25)(26,28);(13,15)(14,18)(16,17)(19,20)(21,22,23,26,24,25,27,28)

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1584, 53);