#66343⋊C₂ #10619733

order	648
isoclinism	isoclinic class of #66343⋊C₂
automorphism	?
homology	Abelianization (H₁) = C₂² · Schur multiplier (H₂) = C₂

Aliases

unambiguous semidirect product	#66343⋊C₂
unambiguous semidirect product	D₉²⋊C₂

C₉² ⋊ D₄

58 conjugacy classes of subgroups.

μ_t(G) = 18

Polycyclic presentation:

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(648, 252);