C₃×#66879 #11760554

order	1056
isoclinism	isoclinic class of Dic₂₂
automorphism	?
homology	Abelianization (H₁) = C₃×C₄² · Schur multiplier (H₂) = C₂

Aliases

Hall	C₃×C₁₁ ⋊ #97
Sylow	C₁₁ ⋊ C₃×#97

80 conjugacy classes of subgroups.

minimal degree	μ(G) = 26
transitive degree	μ_t(G) = 1056

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

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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1056, 91);