Finite Group DatabasebetaFinite Group Databasebeta| order | 3072 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C28 |
| direct product | C2×#72258617 |
| Fitting | C23×H(3,𝔽4) ⋊ D3 |
14427 conjugacy classes of subgroups; only the 221 normal subgroups are shown.
This group has 14427 conjugacy classes of subgroups — too many to draw. Only its 221 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 96 |
98 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72258621 |
Past the SmallGroups library coverage — no SmallGroups id.