Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C22×#16838747 |
| Fitting | C23×C4×C241 ⋊ C2 |
| Sylow | C241 ⋊ C22×C22⋊C4 |
674 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
3880 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44505666, #44505681, #44505683, … |
| maximal normal subgroup of | #44505666, #44505681, #44505683, … |
| maximal quotient of | C22×#21440549, C2×C4×#16838747, C2×#29507572, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 996);