#25095175

order	11008
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁴×C₄

Aliases

No aliases for this group.

Fitting	C₄₃×#1764 ⋊ C₂
Sylow	C₄₃ ⋊ #20512

1014 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,43|a^2=f,b^2=g,c^2=g,d^2=f,e^2=h,f^2=h,b^a=be,e^a=eh,e^b=eh,d^c=dh,i^c=i^42

1264 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 168146);