Finite Group DatabasebetaFinite Group Databasebeta| order | 2304 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26×C3 |
| direct product | C8×D8×C3⋊D3 |
| Fitting | C32×C8×D8 ⋊ C2 |
| Sylow | C32 ⋊ C2×C8×D8 |
2730 conjugacy classes of subgroups.
| transitive degree | μt(G) = 576 |
336 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3⋊D3×#12045 |
| maximal normal subgroup of | C3⋊D3×#12045 |
| maximal quotient of | C3⋊D3×#12045 |
Past the SmallGroups library coverage — no SmallGroups id.