#66419⋊C₂ #10620029

order	648
isoclinism	isoclinic class of #66419⋊C₂
automorphism	?
homology	Abelianization (H₁) = C₂² · Schur multiplier (H₂) = C₂

Aliases

unambiguous semidirect product	#66419⋊C₂
unambiguous semidirect product	(#4207⋊C₂)⋊C₂

#737 ⋊ D₄

78 conjugacy classes of subgroups.

μ_t(G) = 54

Polycyclic presentation:

2^3,3^4|b^2=c,f^3=g^2,b^a=bc,d^a=d^2,e^a=d^2eg^2,f^a=f^2g,g^a=g^2,d^b=d^2e^2,e^b=d^2eg,d^c=d^2,e^c=e^2g^2,e^d=eg

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(648, 548);