Finite Group DatabasebetaFinite Group Databasebeta| order | 1344 |
| isoclinism | isoclinic class of Dic42 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×C4⋊Dic21 |
| Hall | C3×C7 ⋊ C4×C4⋊C4 |
| Sylow | C7 ⋊ C4×C4⋊Dic3 |
| Sylow | C3 ⋊ C4×C4⋊Dic7 |
388 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, 5858);