Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3 · Schur multiplier (H2) = C26 |
| direct product | D4×#5950 |
| Fitting, Sylow | D4×#585 ⋊ C3 |
19698 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 19698 conjugacy classes of subgroups — too many to draw. Only its 165 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 64 |
110 conjugacy classes — view the full character table.
| maximal subgroup of | #72341937, #72342062, #72342067 |
| maximal normal subgroup of | #72341937, #72342062, #72342067 |
Past the SmallGroups library coverage — no SmallGroups id.