Finite Group DatabasebetaFinite Group Databasebeta| order | 1344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic168 |
| Hall | C3×C7 ⋊ C2×Q32 |
| Sylow | C7 ⋊ C2×Dic24 |
| Sylow | C3 ⋊ C2×Dic56 |
164 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1344 |
342 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1344, 5831);