#25153209

order	11008
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

No aliases for this group.

Fitting	C₂²×C₄⋊Q₈×C₄₃ ⋊ C₂
Sylow	C₄₃ ⋊ #25903

1446 conjugacy classes of subgroups.

Polycyclic presentation:

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

1234 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 226180);