Finite Group DatabasebetaFinite Group Databasebeta| order | 16256 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | C2×C4×D4×C127 ⋊ C2 |
| Sylow | C127 ⋊ #2321 |
808 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,127|a^2=g,b^2=g,b^a=be,c^a=cf,d^a=de,c^b=ce,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, 7164);