#26005150

order	11008
automorphism	?
homology	Abelianization (H₁) = C₂⁶ · Schur multiplier (H₂) = C₂¹³

Aliases

No aliases for this group.

Fitting	Q₈×#41×C₄₃ ⋊ C₂
Sylow	C₄₃ ⋊ #62813

6930 conjugacy classes of subgroups.

Polycyclic presentation:

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

1138 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1078121);