Finite Group DatabasebetaFinite Group Databasebeta| order | 16256 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×#123×C127 ⋊ C2 |
| Sylow | C127 ⋊ #2405 |
1116 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,127|c^2=e,b^a=be,c^a=cf,d^a=de,c^b=cg,h^b=h^1261802 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16256, 7834);