Finite Group DatabasebetaFinite Group Databasebeta| order | 2304 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C210×C3 |
| direct product | C2×C4×D8×C3⋊D3 |
| Fitting | C2×C32×C4×D8 ⋊ C2 |
| Sylow | C32 ⋊ C22×C4×D8 |
11082 conjugacy classes of subgroups.
| transitive degree | μt(G) = 576 |
336 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×C3⋊D3×#2177, C2×C3⋊D3×#1580, C2×C3⋊D3×#1333 |
| maximal normal subgroup of | C2×C3⋊D3×#2177, C2×C3⋊D3×#1580, C2×C3⋊D3×#1333 |
| maximal quotient of | C2×C3⋊D3×#2177 |
Past the SmallGroups library coverage — no SmallGroups id.