Finite Group DatabasebetaFinite Group Databasebeta| order | 2352 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C7 · Schur multiplier (H2) = C1 |
| direct product | C7×#66558 |
| Hall | C3×C72 ⋊ M16 |
| Sylow | C72 ⋊ ΓL(1,𝔽25) |
| Sylow | C3 ⋊ C7×#1136 |
128 conjugacy classes of subgroups.
| transitive degree | μt(G) = 168 |
378 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72254209, D3×C7×#1136, #72254222, … |
| maximal normal subgroup of | #72254209, D3×C7×#1136, #72254222, … |
Past the SmallGroups library coverage — no SmallGroups id.