Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#21440564 |
| Fitting | C22×C8×C241 ⋊ C2 |
| Sylow | C241 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
3868 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44507259, C4×#21440564, #44507269, … |
| maximal normal subgroup of | #44507259, C4×#21440564, #44507269, … |
| maximal quotient of | C2×#29507446, #44505845, #44505871, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 537);