Finite Group DatabasebetaFinite Group Databasebeta| order | 3528 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32 · Schur multiplier (H2) = C2×C3 |
| direct product | C3×D4×#3861 |
| Fitting | C3×C72×D4 ⋊ C3 |
| Hall | C72×D4 ⋊ C32 |
| Sylow | C72 ⋊ C32×D4 |
480 conjugacy classes of subgroups.
| transitive degree | μt(G) = 588 |
285 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×D4×#64424, D3×D4×#3861, D4×C3⋊#64424, … |
| maximal normal subgroup of | C3×D4×#64424, D3×D4×#3861, D4×C3⋊#64424, … |
| maximal quotient of | C2×C3×D4×#3861, C32×D4×#3861 |
Past the SmallGroups library coverage — no SmallGroups id.