#26230209

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁴×C₄

Aliases

No aliases for this group.

Fitting	C₄₇×#1747 ⋊ C₂
Sylow	C₄₇ ⋊ #22286

820 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,47|a^2=g,b^2=egh,c^2=ef,d^2=eh,e^2=h,f^2=h,b^a=be,c^a=cf,d^a=de,e^a=eh,i^a=i^46,c^b=ce,f^b=fh,g^c=gh

1058 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 183499);