#32100620

order	18176
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂³

Aliases

No aliases for this group.

626 conjugacy classes of subgroups.

μ_t(G) = 18176

Polycyclic presentation:

2^8,71|a^2=f,b^2=e,c^2=h,d^2=g,f^2=h,b^a=be,c^a=cf,d^a=de,c^b=cg,d^b=dh,i^b=i^70,f^c=fh,i^c=i^70,i^d=i^70

1586 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18176, 272736);