Finite Group DatabasebetaFinite Group Databasebeta| order | 4608 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C28 |
| direct product | C2×#72228419 |
| Fitting | C27×C3 ⋊ C2×D3 |
20143 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 20143 conjugacy classes of subgroups — too many to draw. Only its 175 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 72 |
156 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D3×#11713200 |
| maximal normal subgroup of | C2×D3×#11713200 |
Past the SmallGroups library coverage — no SmallGroups id.