#25268010

order	11008
automorphism	?
homology	Abelianization (H₁) = C₂⁵ · Schur multiplier (H₂) = C₂⁷

Aliases

No aliases for this group.

Fitting	C₄²×D₄×C₄₃ ⋊ C₂
Sylow	C₄₃ ⋊ #34906

2062 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,43|d^2=gh,e^2=f,b^a=bf,c^a=cg,c^b=ch,d^b=dh,i^b=i^42

1756 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 340981);