#26386281

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂⁵ · Schur multiplier (H₂) = C₂⁷

Aliases

No aliases for this group.

Fitting	C₄₇×#2296 ⋊ C₂
Sylow	C₄₇ ⋊ #34816

1918 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,47|a^2=fh,b^2=f,c^2=f,d^2=f,e^2=g,b^a=bf,c^a=cg,i^a=i^46,c^b=ch,d^b=dh,i^b=i^46,i^c=i^46,i^d=i^46

1364 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 339571);