Finite Group DatabasebetaFinite Group Databasebeta| order | 1344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊(C3⋊(C7⋊C8)) |
| Hall | C3×C7 ⋊ C2×C4⋊C8 |
| Sylow | C7 ⋊ C2×C4⋊(C3⋊C8) |
| Sylow | C3 ⋊ C2×C4⋊(C7⋊C8) |
276 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1344 |
360 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1344, 5849);