Finite Group DatabasebetaFinite Group Databasebeta| order | 1344 |
| isoclinism | isoclinic class of Dic14 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C8 · Schur multiplier (H2) = C23 |
| direct product | C3×C8×C22⋊D7 |
| Fitting | C22×C3×C7×C8 ⋊ C2 |
| Hall | C3×C7 ⋊ C8×D4 |
| Sylow | C7 ⋊ C3×C8×D4 |
268 conjugacy classes of subgroups.
| transitive degree | μt(G) = 672 |
408 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1344, 4830);