Finite Group DatabasebetaFinite Group Databasebeta| order | 8384 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#16862192 |
| Sylow | C131 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
932 conjugacy classes — view the full character table.
| maximal subgroup of | #30667817, C4×#16862192, #30667829, … |
| maximal normal subgroup of | #30667817, C4×#16862192, #30667829, … |
| maximal quotient of | C2×#22553115, C2×#22553116, C2×#22553137, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8384, 976);