#26133154

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂²×C₈ · Schur multiplier (H₂) = C₂⁴

Aliases

No aliases for this group.

Fitting	C₄₇×#1374 ⋊ C₂
Sylow	C₄₇ ⋊ #12980

470 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,47|a^2=f,b^2=df,d^2=h,e^2=h,f^2=g,g^2=h,b^a=bd,c^a=ce,d^b=dh,e^b=eh,f^b=fh,i^b=i^46,d^c=dh,e^c=eh,f^c=fh,i^c=i^46

1916 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 86444);