Finite Group DatabasebetaFinite Group Databasebeta| order | 12288 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#72211696 |
| Fitting, Sylow | C2×#72211666 ⋊ C3 |
28655 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 28655 conjugacy classes of subgroups — too many to draw. Only its 189 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
304 conjugacy classes. The character table is too large to display.
| maximal normal subgroup of | GL(2,ℤ/16) |
Past the SmallGroups library coverage — no SmallGroups id.