Finite Group DatabasebetaFinite Group Databasebeta| order | 3888 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C8 · Schur multiplier (H2) = C2×C3 |
| direct product | C2×#14516347 |
| derived | C92 ⋊ C2×C3×C8 |
| Sylow | #6900 ⋊ C2×C8 |
602 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1296 |
240 conjugacy classes — view the full character table.
| maximal subgroup of | C2×C8×#92314, #72254627, #72254633, … |
| maximal normal subgroup of | C2×C8×#92314, #72254627, #72254633, … |
Past the SmallGroups library coverage — no SmallGroups id.