Finite Group DatabasebetaFinite Group Databasebeta| order | 8384 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#16862190 |
| Sylow | C131 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
932 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#16862190, #30667816, #30667822, … |
| maximal normal subgroup of | C4×#16862190, #30667816, #30667822, … |
| maximal quotient of | C2×#22553113, C2×#22553115, C2×#22553139, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8384, 973);