Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | M16×Dic241 |
| Sylow | C241 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
2440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44507236, #100×Dic241, #44507240, … |
| maximal normal subgroup of | #44507236, #100×Dic241, #44507240, … |
| maximal quotient of | M16×#14515349, #44505726, #44505732, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 500);