Finite Group DatabasebetaFinite Group Databasebeta| order | 2304 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C16 · Schur multiplier (H2) = C23×C3 |
| direct product | C3⋊D3×#1397 |
| Fitting | C32×#1397 ⋊ C2 |
| Sylow | C32 ⋊ C2×#1397 |
762 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1152 |
480 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3⋊D3×#7330, C3⋊D3×#7332, C3⋊D3×#13654, … |
| maximal normal subgroup of | C3⋊D3×#7330, C3⋊D3×#7332, C3⋊D3×#13654, … |
Past the SmallGroups library coverage — no SmallGroups id.