Finite Group DatabasebetaFinite Group Databasebeta| order | 32448 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×D4×#14523144 |
| Fitting | C2×D4×C132 ⋊ C3×C4 |
| Hall | C2×D4×#10621728 ⋊ C3 |
| Hall | #92788 ⋊ C2×C4×D4 |
| Sylow | C132 ⋊ C2×C3×C4×D4 |
6816 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1352 |
260 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72259662 |
| maximal normal subgroup of | #72259662 |
Past the SmallGroups library coverage — no SmallGroups id.