#34008481

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂×C₄² · Schur multiplier (H₂) = C₂⁷

Aliases

No aliases for this group.

Fitting	C₂²×C₄²×C₇₃ ⋊ C₄
Sylow	C₇₃ ⋊ #10761

1866 conjugacy classes of subgroups.

μ_t(G) = 4672

Polycyclic presentation:

2^8,73|a^2=f,b^2=g,b^a=bd,c^a=ce,d^a=dh,e^a=eh,i^a=i^27,f^b=fh,i^b=i^72,f^c=fh,i^c=i^72,i^f=i^72

1216 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1092065);