#25104779

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

Aliases

No aliases for this group.

Fitting	C₄₃×#1764 ⋊ C₂
Sylow	C₄₃ ⋊ #21661

730 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,43|a^2=g,b^2=f,c^2=e,d^2=g,e^2=h,f^2=h,g^2=h,b^a=be,c^a=cf,e^a=eh,f^a=fh,c^b=ch,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, 177750);