C₁₃×#681 #11760129

order	1040
isoclinism	isoclinic class of Dic₁₀
automorphism	?
homology	Abelianization (H₁) = C₂×C₄×C₁₃ · Schur multiplier (H₂) = C₁

Aliases

Hall	C₅×C₁₃ ⋊ M₁₆
Sylow	C₅ ⋊ C₁₃×M₁₆

40 conjugacy classes of subgroups.

minimal degree	μ(G) = 26
transitive degree	μ_t(G) = 520

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

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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1040, 58);