#25262914

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

Aliases

No aliases for this group.

Fitting	C₄²×Q₈×C₄₃ ⋊ C₂
Sylow	C₄₃ ⋊ #34551

2082 conjugacy classes of subgroups.

Polycyclic presentation:

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

1768 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 335885);