#25249833

order	11008
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁵

Aliases

No aliases for this group.

Fitting	C₄₃×#2170 ⋊ C₂
Sylow	C₄₃ ⋊ #33441

646 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,43|a^2=f,c^2=f,e^2=h,f^2=g,g^2=h,b^a=be,d^a=dh,e^a=eh,e^b=eh,i^d=i^42

1264 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 322804);