Finite Group DatabasebetaFinite Group Databasebeta| order | 16256 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C127 ⋊ #1442 |
520 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,127|a^2=g,b^2=e,c^2=d,b^a=bd,c^a=ce,h^a=h^126,c^b=cf,h^b=h^126,h^c=h^1262564 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16256, 2769);