Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3 · Schur multiplier (H2) = C26 |
| direct product | C2×#11710899 |
| Fitting, Sylow | C2×#63092 ⋊ C3 |
19137 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 19137 conjugacy classes of subgroups — too many to draw. Only its 155 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 64 |
92 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72215685, C2×#72236876, C2×#72215654, … |
| maximal normal subgroup of | C2×#72215685, C2×#72236876, C2×#72215654, … |
| maximal quotient of | #72340606 |
Past the SmallGroups library coverage — no SmallGroups id.