Finite Group DatabasebetaFinite Group Databasebeta| order | 2304 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26×C3 |
| direct product | C2×#11797804 |
| Fitting | C2×C32×C4×D8 ⋊ C2 |
| Sylow | C32 ⋊ C2×#2177 |
2394 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1152 |
288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×C3⋊D3×#2177, C2×#72222562, C2×#72222571 |
| maximal normal subgroup of | C2×C3⋊D3×#2177, C2×#72222562, C2×#72222571 |
Past the SmallGroups library coverage — no SmallGroups id.