Finite Group DatabasebetaFinite Group Databasebeta| order | 2352 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4×C7 · Schur multiplier (H2) = C1 |
| direct product | C3×C7×#1136 |
| Hall | C3×C72 ⋊ M16 |
| Sylow | C72 ⋊ C3×M16 |
128 conjugacy classes of subgroups.
| transitive degree | μt(G) = 168 |
714 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×#13096284, D3×C7×#1136, #72254218, … |
| maximal normal subgroup of | C3×#13096284, D3×C7×#1136, #72254218, … |
Past the SmallGroups library coverage — no SmallGroups id.