Finite Group DatabasebetaFinite Group Databasebeta| order | 3072 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C28 |
| direct product | C2×#72234216 |
| Fitting | C26×D4 ⋊ D3 |
151266 conjugacy classes of subgroups; only the 231 normal subgroups are shown.
This group has 151266 conjugacy classes of subgroups — too many to draw. Only its 231 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 48 |
128 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72258027 |
| maximal normal subgroup of | C2×#72258027 |
Past the SmallGroups library coverage — no SmallGroups id.