Finite Group DatabasebetaFinite Group Databasebeta| order | 3456 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32 · Schur multiplier (H2) = C25 |
| direct product | D4×#88907 |
| Sylow | C24×D4 ⋊ 3−1+2 |
10888 conjugacy classes of subgroups; only the 150 normal subgroups are shown.
This group has 10888 conjugacy classes of subgroups — too many to draw. Only its 150 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 72 |
280 conjugacy classes. The character table is too large to display.
Past the SmallGroups library coverage — no SmallGroups id.