#25011842

order	11008
automorphism	?
homology	Abelianization (H₁) = C₂×C₄² · Schur multiplier (H₂) = C₂²×C₄

Aliases

No aliases for this group.

Fitting	C₄₃×#1772 ⋊ C₂
Sylow	C₄₃ ⋊ #12642

430 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,43|a^2=e,b^2=f,c^2=e,d^2=gh,e^2=h,f^2=g,g^2=h,b^a=bd,d^a=dg,f^a=fgh,g^a=gh,i^a=i^42,c^b=ch,i^b=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, 84813);