Finite Group DatabasebetaFinite Group Databasebeta| order | 1344 |
| isoclinism | isoclinic class of Dic42 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×Dic42 |
| Hall | C3×C7 ⋊ C23×Q8 |
| Sylow | C7 ⋊ C23×Dic6 |
| Sylow | C3 ⋊ C23×Dic14 |
1700 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, 11657);