Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C28 |
| direct product | C2×#10710949 |
| Fitting | C2×C3×#1911 ⋊ C2 |
| Sylow | C3 ⋊ C2×#12753 |
6128 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
126 conjugacy classes — view the full character table.
| maximal subgroup of | #72248347, #72248514, C2×D3×#12753, … |
| maximal normal subgroup of | #72248347, #72248514, C2×D3×#12753, … |
| maximal quotient of | #72254983 |
Past the SmallGroups library coverage — no SmallGroups id.