#26134482

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂³

Aliases

No aliases for this group.

Fitting	C₄₇×#2117 ⋊ C₂
Sylow	C₄₇ ⋊ #13200

438 conjugacy classes of subgroups.

Polycyclic presentation:

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

1064 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 87772);