Finite Group DatabasebetaFinite Group Databasebeta| order | 2952 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | D32×D41 |
| Fitting, socle, derived, Hall | C32×C41 ⋊ C23 |
| Sylow | C41 ⋊ C2×D32 |
| Sylow | C32 ⋊ C22×D41 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, cosocle, hypocenter | C32×C41 | C23 |
| LCS | G ▷ C32×C41 | |
| UCS | C1 | |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 246 |
198 conjugacy classes — view the full character table.
| maximal subgroup of | D32×#4223, D32×D41⋊C5 |
| maximal normal subgroup of | D32×#4223, D32×D41⋊C5 |
Past the SmallGroups library coverage — no SmallGroups id.