Finite Group DatabasebetaFinite Group Databasebeta| order | 16768 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4 |
| direct product | C4×C22⋊C4×D131 |
| Fitting | C4×C22⋊C4×C131 ⋊ C2 |
| Sylow | C131 ⋊ C2×C4×C22⋊C4 |
1360 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4192 |
2680 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16768, 6838);