Finite Group DatabasebetaFinite Group Databasebeta| order | 15584 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic974 |
| Sylow | C487 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15584 |
3908 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44528954, #44528955, #44528956, … |
| maximal normal subgroup of | #44528954, #44528955, #44528956, … |
| maximal quotient of | C22×Dic487⋊C4, C22×C4⋊Dic487, C2×C4×Dic974, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15584, 186);