Finite Group DatabasebetaFinite Group Databasebeta| order | 15584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#21441250 |
| Fitting | C2×C8×C487 ⋊ C2 |
| Sylow | C487 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7792 |
3902 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44529137, C4×#21441250, #44529149, … |
| maximal normal subgroup of | #44529137, C4×#21441250, #44529149, … |
| maximal quotient of | C2×#29510137, C2×#29510140, C2×#29510147, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15584, 161);