Finite Group DatabasebetaFinite Group Databasebeta| order | 16256 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Sylow | C127 ⋊ #2317 |
600 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,127|a^2=g,c^2=f,d^2=e,b^a=be,c^a=cf,d^a=de,h^a=h^126,c^b=ce2564 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16256, 7133);