#24995941

order	11008
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂²×C₄

Aliases

No aliases for this group.

Fitting	C₄₃×#1564 ⋊ C₂
Sylow	C₄₃ ⋊ #9750

514 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,43|a^2=f,b^2=dfh,c^2=e,d^2=gh,e^2=g,f^2=gh,b^a=bd,c^a=ce,d^a=dg,e^a=eg,d^b=dh,f^b=fh,i^b=i^42

1234 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 68912);