Finite Group DatabasebetaFinite Group Databasebeta| order | 16256 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | #388×C127 ⋊ C2 |
| Sylow | C127 ⋊ #2353 |
588 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,127|a^2=g,b^2=f,c^2=ef,b^a=be,c^a=cf,d^b=de,h^c=h^126,h^d=h^1261814 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16256, 7445);