#25263301

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

Aliases

No aliases for this group.

Fitting	C₄×C₂²⋊Q₈×C₄₃ ⋊ C₂
Sylow	C₄₃ ⋊ #34584

1774 conjugacy classes of subgroups.

Polycyclic presentation:

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

1240 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 336272);