Finite Group DatabasebetaFinite Group Databasebeta| order | 2304 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C26×C3 |
| direct product | C2×#11923789 |
| Fitting | C27×C3 ⋊ D3 |
14094 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 14094 conjugacy classes of subgroups — too many to draw. Only its 123 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 72 |
120 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72228412, C2×#72228419, C2×D3×#87524 |
| maximal normal subgroup of | C2×#72228412, C2×#72228419, C2×D3×#87524 |
Past the SmallGroups library coverage — no SmallGroups id.