#32985281

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

Aliases

No aliases for this group.

C₇₃ ⋊ #9742

506 conjugacy classes of subgroups.

μ_t(G) = 18688

Polycyclic presentation:

2^8,73|a^2=f,b^2=dfh,c^2=e,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,c^b=cg,d^b=dh,f^b=fh,i^b=i^72

1630 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 68865);