#25003511

order	11008
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

No aliases for this group.

Fitting	C₄₃×#2297 ⋊ C₂
Sylow	C₄₃ ⋊ #11041

1374 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,43|a^2=g,d^2=h,e^2=h,f^2=h,g^2=h,b^a=bd,c^a=ce,d^a=dh,e^a=eh,i^a=i^42,c^b=cf,d^b=dh,f^b=fh,e^c=eh,f^c=fh,i^c=i^42

1228 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 76482);