#30774186

order	17152
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂²×C₄

Aliases

No aliases for this group.

448 conjugacy classes of subgroups.

μ_t(G) = 2144

Polycyclic presentation:

2^8,67|a^2=f,b^2=df,c^2=e,e^2=h,f^2=h,b^a=bd,c^a=ce,d^a=dg,e^a=eh,g^a=gh,i^a=i^66,d^b=dg,f^b=fg,g^b=gh,i^b=i^66,f^d=fh

1090 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 87923);