Finite Group DatabasebetaFinite Group Databasebeta| order | 16256 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C127 ⋊ #2383 |
456 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,127|a^2=g,c^2=e,d^2=f,b^a=be,c^a=cf,d^a=def,c^b=cef,d^b=de,h^d=h^1261802 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16256, 7697);