Finite Group DatabasebetaFinite Group Databasebeta| order | 2304 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23×C3 |
| direct product | C2×#11772176 |
| Sylow | C32 ⋊ C2×#1368 |
762 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2304 |
288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×C3⋊D3×#1368, C2×#72222562, C2×#72222571 |
| maximal normal subgroup of | C2×C3⋊D3×#1368, C2×#72222562, C2×#72222571 |
Past the SmallGroups library coverage — no SmallGroups id.