Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#21440636 |
| Fitting | C2×C42×C241 ⋊ C2 |
| Sylow | C241 ⋊ C2×#126 |
246 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
3868 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44505812, #44505815, #44509993, … |
| maximal normal subgroup of | #44505812, #44505815, #44509993, … |
| maximal quotient of | C2×#29507585, C2×#29507601, C2×#29507608, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 1074);