Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#22548625 |
| Sylow | C251 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16064 |
4040 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44548444, #44548448, #97×Dic251, … |
| maximal normal subgroup of | #44548444, #44548448, #97×Dic251, … |
| maximal quotient of | C2×#30631408, C2×#30631409, #44548654, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 497);