C₁₁×C₃⋊#95 #11760611

order	1056
isoclinism	isoclinic class of Dic₆
automorphism	?
homology	Abelianization (H₁) = C₄²×C₁₁ · Schur multiplier (H₂) = C₂³

Aliases

direct product	C₁₁×C₃⋊#95
unambiguous semidirect product	C₃⋊(C₁₁×#95)

Hall	C₃×C₁₁ ⋊ #95
Sylow	C₃ ⋊ C₁₁×#95

152 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:

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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1056, 148);