Finite Group DatabasebetaFinite Group Databasebeta| order | 3528 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32×C4 · Schur multiplier (H2) = C2×C3 |
| direct product | C2×C3×C4×#3861 |
| Fitting | C2×C3×C4×C72 ⋊ C3 |
| derived, Sylow | C72 ⋊ C2×C32×C4 |
| Hall | C2×C4×C72 ⋊ C32 |
480 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1176 |
456 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×C3×C4×#64424, C2×C4×D3×#3861, C2×C4×C3⋊#64424, … |
| maximal normal subgroup of | C2×C3×C4×#64424, C2×C4×D3×#3861, C2×C4×C3⋊#64424, … |
Past the SmallGroups library coverage — no SmallGroups id.