Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C2×#10707078 |
| Fitting | C2×C3×#1313 ⋊ C2 |
| Sylow | C3 ⋊ C2×#12068 |
940 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
180 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D3×#12068, C2×#72222500, C2×#72222516 |
| maximal normal subgroup of | C2×D3×#12068, C2×#72222500, C2×#72222516 |
Past the SmallGroups library coverage — no SmallGroups id.