#24988007

order	11008
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂⁴

Aliases

No aliases for this group.

Fitting	C₄₃×#1476 ⋊ C₂
Sylow	C₄₃ ⋊ #8320

794 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,43|a^2=f,d^2=g,f^2=h,b^a=bd,c^a=ce,d^a=dg,i^a=i^42,c^b=ch,d^b=dg,e^b=eg,d^c=dg,i^c=i^42

1228 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 60978);