#26115461

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂×C₄

Aliases

No aliases for this group.

Fitting	C₈×M₁₆×C₄₇ ⋊ C₂
Sylow	C₄₇ ⋊ #9723

422 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,47|a^2=f,b^2=df,c^2=e,d^2=gh,e^2=g,f^2=g,b^a=bd,c^a=ce,d^a=dg,e^a=eg,i^a=i^46,d^b=dh,f^b=fh

1898 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 68751);