Finite Group DatabasebetaFinite Group Databasebeta| order | 4608 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C26×C3 |
| direct product | C22⋊C4×A4⋊S4 |
| Fitting | C24×C22⋊C4 ⋊ C3⋊D3 |
10322 conjugacy classes of subgroups; only the 148 normal subgroups are shown.
This group has 10322 conjugacy classes of subgroups — too many to draw. Only its 148 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 72 |
140 conjugacy classes — view the full character table.
Past the SmallGroups library coverage — no SmallGroups id.