Finite Group DatabasebetaFinite Group Databasebeta| order | 1344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#10621357 |
| Fitting | C2×C3×C42×C7 ⋊ C2 |
| Hall | C3×C7 ⋊ C2×#127 |
| Sylow | C7 ⋊ C2×#874 |
| Sylow | C3 ⋊ C2×#6437 |
996 conjugacy classes of subgroups.
| transitive degree | μt(G) = 672 |
348 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1344, 10854);