Finite Group DatabasebetaFinite Group Databasebeta| order | 3072 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C213 |
| direct product | C2×#72230825 |
| Fitting | C2×C3×#62817 ⋊ C2 |
| Sylow | C3 ⋊ C2×#347042 |
70142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
270 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×D3×#347042, #72270313, #72271657, … |
| maximal normal subgroup of | C2×D3×#347042, #72270313, #72271657 |
Past the SmallGroups library coverage — no SmallGroups id.