Finite Group DatabasebetaFinite Group Databasebeta| order | 1824 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#11744817 |
| Hall | C3×C19 ⋊ C2×M16 |
| Sylow | C19 ⋊ C2×ΓL(1,𝔽25) |
| Sylow | C3 ⋊ C2×#64515 |
136 conjugacy classes of subgroups.
| transitive degree | μt(G) = 912 |
252 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1824, 490);