Finite Group DatabasebetaFinite Group Databasebeta| order | 16256 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×C4⋊Q8×D127 |
| Fitting | C2×C4⋊Q8×C127 ⋊ C2 |
| Sylow | C127 ⋊ C22×C4⋊Q8 |
1624 conjugacy classes of subgroups.
1820 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16256, 17783);