Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C29 |
| direct product | C2×#10698139 |
| Fitting | C2×C3×#1781 ⋊ C2 |
| Sylow | C3 ⋊ C2×#10336 |
10812 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
132 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D3×#10336, #72271058, #72271081, … |
| maximal normal subgroup of | C2×D3×#10336, #72271058, #72271081, … |
| maximal quotient of | #72271203, #72271254 |
Past the SmallGroups library coverage — no SmallGroups id.