Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C26 · Schur multiplier (H2) = C215 |
| direct product | C22×#82927 |
| Fitting | C22×C3×#525 ⋊ C2 |
| Sylow | C3 ⋊ C22×#3003 |
69980 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
240 conjugacy classes — view the full character table.
| maximal subgroup of | C22×D3×#3003, #72255569, #72270005, … |
| maximal normal subgroup of | C22×D3×#3003, #72255569, #72270005, … |
Past the SmallGroups library coverage — no SmallGroups id.