Finite Group DatabasebetaFinite Group Databasebeta| order | 2592 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C33 · Schur multiplier (H2) = C2×C32 |
| direct product | C2×C3×#88691 |
| Sylow | C2×#41 ⋊ C3×3−1+2 |
1138 conjugacy classes of subgroups; only the 240 normal subgroups are shown.
This group has 1138 conjugacy classes of subgroups — too many to draw. Only its 240 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 432 |
372 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×C3×#11722576, C2×#72252949, C2×#72252951 |
| maximal normal subgroup of | C2×C3×#11722576, C2×#72252949, C2×#72252951 |
Past the SmallGroups library coverage — no SmallGroups id.