Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C211 |
| direct product | D4×#5032 |
| Fitting | C3×D4×#120 ⋊ C2 |
| Sylow | C3 ⋊ D4×B(4,𝔽2) |
13478 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
150 conjugacy classes — view the full character table.
| maximal subgroup of | D3×D4×B(4,𝔽2), #72271836, #72271939 |
| maximal normal subgroup of | D3×D4×B(4,𝔽2), #72271836, #72271939 |
Past the SmallGroups library coverage — no SmallGroups id.