#25124547

order	11008
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁶

Aliases

No aliases for this group.

Fitting	C₂²×C₄⋊C₈×C₄₃ ⋊ C₂
Sylow	C₄₃ ⋊ #23539

1494 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,43|c^2=e,d^2=h,e^2=h,f^2=h,g^2=h,b^a=be,c^a=cf,e^a=eh,f^a=fh,g^a=gh,i^a=i^42,c^b=cg,e^b=eh,f^b=fh,g^b=gh,i^b=i^42

1744 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 197518);