#25097396

order	11008
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

No aliases for this group.

Fitting	C₂×C₄₃×#341 ⋊ C₂
Sylow	C₄₃ ⋊ #20852

1314 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,43|a^2=g,b^2=g,e^2=h,g^2=h,b^a=be,c^a=cf,e^a=eh,i^a=i^42,e^b=eh,i^b=i^42,d^c=dh,i^c=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, 170367);