#30773855

order	17152
automorphism	?
homology	Abelianization (H₁) = C₂²×C₈ · Schur multiplier (H₂) = C₂²

Aliases

No aliases for this group.

284 conjugacy classes of subgroups.

μ_t(G) = 2144

Polycyclic presentation:

2^8,67|a^2=f,b^2=f,c^2=e,d^2=h,e^2=h,f^2=g,g^2=h,b^a=bd,c^a=ce,d^a=dh,e^a=eh,d^b=dh,i^b=i^66,i^c=i^66

1516 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 87592);