#44552251

order	32128
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂²

Aliases

No aliases for this group.

C₂₅₁ ⋊ #2179

144 conjugacy classes of subgroups.

μ_t(G) = 8032

Polycyclic presentation:

2^7,251|a^2=e,c^2=e,d^2=fg,e^2=g,f^2=g,b^a=bd,c^a=cg,d^a=df,f^a=fg,h^a=h^250,d^b=df,f^b=fg,h^c=h^250

2782 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32128, 6396);