| order | 1824 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C19 · Schur multiplier (H2) = C24 |
| direct product | C2×C19×#217 |
| Hall | C3×C19 ⋊ C2×C22⋊C4 |
| Sylow | C3 ⋊ C2×C22⋊C4×C19 |
264 conjugacy classes of subgroups.
| transitive degree | μt(G) = 912 |
684 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1824, 931);