#32980835

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂³

Aliases

No aliases for this group.

C₇₃ ⋊ #8990

462 conjugacy classes of subgroups.

μ_t(G) = 4672

Polycyclic presentation:

2^8,73|a^2=f,b^2=df,c^2=g,d^2=g,e^2=h,f^2=h,b^a=bd,c^a=ce,d^b=dg,e^b=eh,f^b=fg,i^b=i^72,d^c=dh,e^c=eh,f^c=fh,i^c=i^72

2068 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 64419);