Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#22548659 |
| Sylow | C251 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8032 |
1772 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#22548659, #44552220, #44552226, … |
| maximal normal subgroup of | C4×#22548659, #44552220, #44552226, … |
| maximal quotient of | C2×#30631488, C2×#30631490, C2×#30631514, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 973);