#32978103

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂⁴

Aliases

No aliases for this group.

C₇₃ ⋊ #8451

804 conjugacy classes of subgroups.

μ_t(G) = 18688

Polycyclic presentation:

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

1852 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 61687);