Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#10909604 |
| Fitting | C2×C3×#1891 ⋊ C2 |
| Sylow | C3 ⋊ C2×#30434 |
6524 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
132 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D3×#30434, #72253363, #72255104, … |
| maximal normal subgroup of | C2×D3×#30434, #72253363, #72255104, … |
| maximal quotient of | #72271543, #72271599 |
Past the SmallGroups library coverage — no SmallGroups id.