Finite Group DatabasebetaFinite Group Databasebeta| order | 2304 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C210×C3 |
| direct product | C22×C3⋊D3×D16 |
| Fitting | C22×C32×D16 ⋊ C2 |
| Sylow | C32 ⋊ C23×D16 |
7770 conjugacy classes of subgroups.
| transitive degree | μt(G) = 576 |
264 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×C3⋊D3×#2177 |
| maximal normal subgroup of | C2×C3⋊D3×#2177 |
Past the SmallGroups library coverage — no SmallGroups id.