Finite Group DatabasebetaFinite Group Databasebeta| order | 3072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C27 |
| direct product | C2×#72234980 |
| Fitting | C23×#379 ⋊ D3 |
At least 6371 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has at least 6371 conjugacy classes of subgroups — too many to draw. Only its 74 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
96 conjugacy classes — view the full character table.
| maximal subgroup of | #72256263, C2×#72235002 |
| maximal normal subgroup of | #72256263, C2×#72235002 |
| maximal quotient of | #72267097, C2×#72252244 |
Past the SmallGroups library coverage — no SmallGroups id.