Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#16838757 |
| Fitting | C22×Q8×C241 ⋊ C2 |
| Sylow | C241 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
2428 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44507776, #44507782, #44507798, … |
| maximal normal subgroup of | #44507776, #44507782, #44507798, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 1321);