#26111478

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂³

Aliases

No aliases for this group.

Fitting	C₄₇×#2961 ⋊ C₂
Sylow	C₄₇ ⋊ #9050

476 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,47|a^2=f,b^2=dfg,c^2=g,d^2=g,e^2=g,f^2=h,b^a=bd,c^a=ce,e^a=egh,i^a=i^46,d^b=dg,e^b=eh,f^b=fg,d^c=dh,e^c=eg,f^c=fh

1058 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 64768);