C₂₇⋊PSU(3,𝔽₂) #14517944

order	1944
isoclinism	isoclinic class of C₂₇⋊PSU(3,𝔽₂)
automorphism	?
homology	Abelianization (H₁) = C₂² · Schur multiplier (H₂) = C₃

Aliases

C₃²×C₂₇ ⋊ Q₈

62 conjugacy classes of subgroups.

μ_t(G) = 216

Polycyclic presentation:

2^3,3^5|a^2=c,b^2=c,f^3=g^2,g^3=h^2,b^a=bc,d^a=de^2,e^a=d^2e^2,f^a=f^2gh,g^a=g^2h,h^a=h^2,d^b=e^2,e^b=d,d^c=d^2,e^c=e^2

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 2338);