C₁₁×#869 #11761122

order	1056
automorphism	?
homology	Abelianization (H₁) = C₂³×C₁₁ · Schur multiplier (H₂) = C₂²

Aliases

Hall	C₃×C₁₁ ⋊ C₄⋊Q₈
Sylow	C₃ ⋊ C₁₁×C₄⋊Q₈

136 conjugacy classes of subgroups.

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

A minimal faithful permutation representation — 3 generators on 26 points:

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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1056, 659);