C₉×D₂₈ #92600

order	504
isoclinism	isoclinic class of Dic₁₄
automorphism	?
homology	Abelianization (H₁) = C₂²×C₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₉×D₂₈
unambiguous semidirect product	C₄⋊(C₉×D₇)

48 conjugacy classes of subgroups.

minimal degree	μ(G) = 20
transitive degree	μ_t(G) = 252

A minimal faithful permutation representation — 2 generators on 20 points:

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(504, 26);