Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#16838753 |
| Fitting | C4×C8×C241 ⋊ C2 |
| Sylow | C241 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
3880 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#16838753, #44505724, #44505731, … |
| maximal normal subgroup of | C8×#16838753, #44505724, #44505731, … |
| maximal quotient of | C8×#16838753, #44505731, #44505739, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 499);