Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×C4×Dic482 |
| Sylow | C241 ⋊ C2×C4×Q8 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15424 |
3880 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44505768, #44505788, C2×#29507447, … |
| maximal normal subgroup of | #44505768, #44505788, C2×#29507447, … |
| maximal quotient of | C2×C4×C4⋊Dic241, C2×C4×#16838749, C42×Dic482, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 1014);