Finite Group DatabasebetaFinite Group Databasebeta| order | 8384 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×Q16×D131 |
| Fitting | C2×Q16×C131 ⋊ C2 |
| Sylow | C131 ⋊ C22×Q16 |
258 conjugacy classes of subgroups.
938 conjugacy classes — view the full character table.
| maximal subgroup of | #358×D131, #30667679, #362×D131, … |
| maximal normal subgroup of | #358×D131, #30667679, #362×D131, … |
| maximal quotient of | C2×#103×D131, C2×#107×D131, C4×Q16×D131, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8384, 1324);