#32985245

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂×C₄

Aliases

No aliases for this group.

C₇₃ ⋊ #9736

470 conjugacy classes of subgroups.

μ_t(G) = 18688

Polycyclic presentation:

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

1426 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 68829);