Finite Group DatabasebetaFinite Group Databasebeta| order | 8384 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#16862189 |
| Fitting | C2×Q16×C131 ⋊ C2 |
| Sylow | C131 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
932 conjugacy classes — view the full character table.
| maximal subgroup of | #30667810, C4×#16862189, #30667823, … |
| maximal normal subgroup of | #30667810, C4×#16862189, #30667823, … |
| maximal quotient of | C2×#22553112, C2×#22553116, C2×#22553139, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8384, 972);