C₃×#88043 #11928033

order	1248
isoclinism	isoclinic class of Dic₂₆
automorphism	?
homology	Abelianization (H₁) = C₃×C₄² · Schur multiplier (H₂) = C₂

Aliases

Hall	C₃×C₁₃ ⋊ #97
Sylow	C₁₃ ⋊ C₃×#97

80 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)(4,5,7,9,11,13,15,16,14,12,10,8,6)(17,18,19,20)(22,25)(26,28);(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)(21,22,23,26,24,25,27,28)

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1248, 145);