Finite Group DatabasebetaFinite Group Databasebeta| order | 2016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C25 |
| direct product | C3×D7×#235 |
| Fitting | C2×C32×C4×C7 ⋊ C22 |
| Hall | C32×C7 ⋊ C2×#41 |
| Sylow | C32 ⋊ D7×#41 |
| Sylow | C7 ⋊ C2×C3×#235 |
710 conjugacy classes of subgroups.
| transitive degree | μt(G) = 168 |
270 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D7×#64306, C3×D7×#932, D7×#63825, … |
| maximal normal subgroup of | D7×#64306, C3×D7×#932, D7×#63825, … |
Past the SmallGroups library coverage — no SmallGroups id.