#26134463

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂²×C₈ · Schur multiplier (H₂) = C₂²×C₄

Aliases

No aliases for this group.

Fitting	C₂×C₄₇×#346 ⋊ C₂
Sylow	C₄₇ ⋊ #13196

430 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,i^a=i^46,c^b=ch

1904 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 87753);