Finite Group DatabasebetaFinite Group Databasebeta| order | 14880 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3×C5 · Schur multiplier (H2) = C26 |
| direct product | C2×D4×AGL(1,𝔽31) |
| Fitting | C2×D4×C31 ⋊ C2×C3×C5 |
| Hall | C2×D4×D31⋊C3 ⋊ C5 |
| Hall | C2×D4×D31⋊C5 ⋊ C3 |
| Hall | C2×D4×D31 ⋊ C3×C5 |
| Hall | (C31⋊C3)⋊C5 ⋊ C22×D4 |
| Hall | ΓL(1,𝔽32) ⋊ C22×C3×D4 |
| Hall | C31⋊C3 ⋊ C22×C5×D4 |
| Sylow | C31 ⋊ C22×C3×C5×D4 |
944 conjugacy classes of subgroups.
| transitive degree | μt(G) = 248 |
310 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #127×AGL(1,𝔽31) |
| maximal normal subgroup of | #127×AGL(1,𝔽31) |
| maximal quotient of | #127×AGL(1,𝔽31) |
Past the SmallGroups library coverage — no SmallGroups id.