#26132772

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂²×C₈ · Schur multiplier (H₂) = C₂³

Aliases

No aliases for this group.

Fitting	C₄₇×#1376 ⋊ C₂
Sylow	C₄₇ ⋊ #12918

376 conjugacy classes of subgroups.

Polycyclic presentation:

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

1352 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 86062);