Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×C4⋊Dic241 |
| Sylow | C241 ⋊ C22×C4⋊C4 |
418 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15424 |
3880 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44505674, #44505675, #44505679, … |
| maximal normal subgroup of | #44505674, #44505675, #44505679, … |
| maximal quotient of | C22×#21440549, C2×C4×C4⋊Dic241, C2×#29507577, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 1000);