#26217746

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁷

Aliases

No aliases for this group.

1814 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,47|a^2=g,b^2=eg,d^2=h,e^2=h,f^2=h,g^2=h,b^a=be,c^a=cf,d^a=dh,i^a=i^46,d^b=dh,e^b=eh,f^b=fh,g^b=gh,i^b=i^46,e^c=eh,f^c=fh,g^c=gh

1352 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 171036);