#24987235

order	11008
automorphism	?
homology	Abelianization (H₁) = C₂×C₄² · Schur multiplier (H₂) = C₂²×C₄

Aliases

No aliases for this group.

Fitting	C₄²×C₈×C₄₃ ⋊ C₂
Sylow	C₄₃ ⋊ #8177

618 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,43|a^2=e,b^2=f,c^2=eg,d^2=g,f^2=h,b^a=bd,c^a=ch,d^a=dg,f^a=fg,i^a=i^42

2776 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 60206);