#25007840

order	11008
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂³

Aliases

No aliases for this group.

Fitting	C₄₃×#1564 ⋊ C₂
Sylow	C₄₃ ⋊ #11929

414 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,43|a^2=e,c^2=h,d^2=gh,e^2=fgh,f^2=h,g^2=h,b^a=bd,d^a=df,f^a=fh,g^a=gh,d^b=dg,e^b=efgh,f^b=fh,g^b=gh,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, 80811);