Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | D3×#7548 |
| Fitting | C3×#7548 ⋊ C2 |
| Sylow | C3 ⋊ C2×#7548 |
228 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 95 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 192 |
138 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#153598 |
| maximal normal subgroup of | D3×#153598 |
Past the SmallGroups library coverage — no SmallGroups id.