Finite Group DatabasebetaFinite Group Databasebeta| order | 2304 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | #106×AGL(1,𝔽9) |
| Fitting | C32×#106 ⋊ C8 |
| Sylow | C32 ⋊ C8×#106 |
511 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 511 conjugacy classes of subgroups — too many to draw. Only its 149 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 288 |
126 conjugacy classes — view the full character table.
Past the SmallGroups library coverage — no SmallGroups id.