Finite Group DatabasebetaFinite Group Databasebeta| order | 1344 |
| isoclinism | isoclinic class of Dic14 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×C3×#6389 |
| Hall | C3×C7 ⋊ C2×#97 |
| Sylow | C7 ⋊ C2×C3×#97 |
292 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1344 |
408 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1344, 4822);