Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×#16838755 |
| Fitting | C22×D4×C241 ⋊ C2 |
| Sylow | C241 ⋊ C22×D8 |
338 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
2428 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44507790, #44507791, #44507793, … |
| maximal normal subgroup of | #44507790, #44507791, #44507793, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 1318);