Finite Group DatabasebetaFinite Group Databasebeta| order | 2304 |
| automorphism | ? |
| homology | Abelianization (H1) = C27 · Schur multiplier (H2) = C220 |
| direct product | C2×D32×H(5,𝔽2) |
| Fitting | C2×C32×H(5,𝔽2) ⋊ C22 |
| Sylow | C32 ⋊ C23×H(5,𝔽2) |
134732 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
306 conjugacy classes. The character table is too large to display.
Past the SmallGroups library coverage — no SmallGroups id.