C₁₃×C₁₇×Dic₁₅ #27210464

order	13260
isoclinism	isoclinic class of D₁₅
automorphism	?
homology	Abelianization (H₁) = C₄×C₁₃×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₃×C₁₇×Dic₁₅
unambiguous semidirect product	C₃⋊(C₁₃×C₁₇×Dic₅)

48 conjugacy classes of subgroups.

minimal degree	μ(G) = 42
transitive degree	μ_t(G) = 13260

A minimal faithful permutation representation — 2 generators on 42 points:

(2,3)(4,5)(7,8)(9,10,11,12)(13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29)(30,31,32,33,34,35,36,37,38,39,40,41,42);(1,2,4,5,3)(6,7,8)

3978 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13260, 14);