Finite Group DatabasebetaFinite Group Databasebeta| order | 5184 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25×C9 |
| direct product | C2×#72244713 |
| Fitting | C22×D4×C92 ⋊ C2 |
| Sylow | C92 ⋊ C2×AGL(1,ℤ/8) |
3427 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1296 |
822 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×AGL(1,ℤ/8)×C9⋊D9 |
| maximal normal subgroup of | C2×AGL(1,ℤ/8)×C9⋊D9 |
Past the SmallGroups library coverage — no SmallGroups id.