Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q32×D251 |
| Fitting | Q32×C251 ⋊ C2 |
| Sylow | C251 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8032 |
1397 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD64×D251, Q64×D251, #44552681, … |
| maximal normal subgroup of | SD64×D251, Q64×D251, #44552681, … |
| maximal quotient of | #358×D251, #366×D251, #44552221, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 975);