Finite Group DatabasebetaFinite Group Databasebeta| order | 3528 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C2 |
| direct product | C2×C3⋊#10596873 |
| derived | C3×C72 ⋊ C2×C3×C4 |
| Hall | C3×#3861 ⋊ C2×C4 |
| Sylow | C72 ⋊ C2×C3×Dic3 |
238 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 238 conjugacy classes of subgroups — too many to draw. Only its 59 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 168 |
144 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72222056, C2×D3×#10596873, C2×#72222048, … |
| maximal normal subgroup of | C2×#72222056, C2×D3×#10596873, C2×#72222048, … |
Past the SmallGroups library coverage — no SmallGroups id.