#26112459

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

No aliases for this group.

Fitting	C₂×C₈×D₄×C₄₇ ⋊ C₂
Sylow	C₄₇ ⋊ #9221

678 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,47|a^2=f,b^2=dfgh,d^2=gh,e^2=h,f^2=h,b^a=bd,c^a=ce,d^a=dg,i^a=i^46,d^b=dh,e^b=eh,f^b=fh,d^c=dh,e^c=eh,f^c=fh

1898 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 65749);