#26106883

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂×C₄×C₈ · Schur multiplier (H₂) = C₂³×C₄

Aliases

No aliases for this group.

Fitting	C₄×C₄⋊C₈×C₄₇ ⋊ C₂
Sylow	C₄₇ ⋊ #8170

718 conjugacy classes of subgroups.

Polycyclic presentation:

2^8,47|a^2=e,b^2=f,c^2=e,d^2=g,f^2=h,b^a=bd,d^a=dg,f^a=fg,i^a=i^46,c^b=cg,i^b=i^46

1928 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 60173);