C₁₆×D₁₃ #88037

order	416
isoclinism	isoclinic class of D₁₃
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₆ · Schur multiplier (H₂) = C₂

Aliases

C₁₆×D₁₃

Fitting	C₁₃×C₁₆ ⋊ C₂
derived, Sylow	C₁₃ ⋊ C₂×C₁₆

28 conjugacy classes of subgroups.

minimal degree	μ(G) = 29
transitive degree	μ_t(G) = 208

A minimal faithful permutation representation — 2 generators on 29 points:

(2,3)(4,5)(6,7)(8,9)(10,11)(12,13);(1,2,4,6,8,10,12,13,11,9,7,5,3)(14,15,16,19,17,20,22,25,18,21,23,26,24,27,28,29)

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(416, 4);