Finite Group DatabasebetaFinite Group Databasebeta| order | 16256 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×D16×C127 ⋊ C2 |
| Sylow | C127 ⋊ #2263 |
112 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,127|d^2=ef,e^2=fg,f^2=g,b^a=bd,c^a=cg,d^a=de,e^a=ef,f^a=fg,h^a=h^126,d^b=de,e^b=ef,f^b=fg1412 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16256, 6823);