Finite Group DatabasebetaFinite Group Databasebeta| order | 4608 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C24×C3 |
| direct product | C4×#11923851 |
| Fitting | C26×C4 ⋊ C3⋊D3 |
| derived | #10596782 ⋊ C2×C4 |
7638 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 7638 conjugacy classes of subgroups — too many to draw. Only its 53 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 36 |
96 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#72215868, C4×#72215889 |
| maximal normal subgroup of | C4×#72215889 |
| maximal quotient of | C4×#72215868 |
Past the SmallGroups library coverage — no SmallGroups id.