Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#22548661 |
| Sylow | C251 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16064 |
1772 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44552221, C4×#22548661, #44552233, … |
| maximal normal subgroup of | #44552221, C4×#22548661, #44552233, … |
| maximal quotient of | C2×#30631490, C2×#30631491, C2×#30631512, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 976);