Finite Group DatabasebetaFinite Group Databasebeta| order | 15584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#21441248 |
| Fitting | C2×Q8×C487 ⋊ C2 |
| Sylow | C487 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7792 |
2444 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44529135, C4×#21441248, #44529148, … |
| maximal normal subgroup of | #44529135, C4×#21441248, #44529148, … |
| maximal quotient of | C2×#29510135, C2×#29510139, C2×#29510146, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15584, 159);