Finite Group DatabasebetaFinite Group Databasebeta| order | 16256 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #476×C127 ⋊ C2 |
| Sylow | C127 ⋊ #3263 |
346 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,127|a^2=g,b^2=g,d^2=eg,f^2=g,b^a=be,c^a=cf,d^a=de,f^a=fg,h^a=h^126,c^b=ce,d^b=dg,h^b=h^126,f^c=fg1223 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16256, 15982);