C₁₃×C₃⋊#95 #11928102

order	1248
isoclinism	isoclinic class of Dic₆
automorphism	?
homology	Abelianization (H₁) = C₄²×C₁₃ · Schur multiplier (H₂) = C₂³

Aliases

direct product	C₁₃×C₃⋊#95
unambiguous semidirect product	C₃⋊(C₁₃×#95)

Hall	C₃×C₁₃ ⋊ #95
Sylow	C₃ ⋊ C₁₃×#95

152 conjugacy classes of subgroups.

minimal degree	μ(G) = 28
transitive degree	μ_t(G) = 1248

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

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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1248, 214);