#33012449

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂³×C₄²

Aliases

No aliases for this group.

Fitting	C₇₃×#1439 ⋊ C₂
Sylow	C₇₃ ⋊ #14267

1782 conjugacy classes of subgroups.

μ_t(G) = 9344

Polycyclic presentation:

2^8,73|a^2=h,d^2=f,b^a=be,c^a=cf,i^a=i^72,c^b=cg,i^b=i^72,d^c=de,i^d=i^72

1648 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 96033);