Finite Group DatabasebetaFinite Group Databasebeta| order | 15584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C22⋊C4×C487 ⋊ C2 |
| Sylow | C487 ⋊ #123 |
78 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7792 |
Polycyclic presentation:
2^5,487|c^2=d,b^a=bd,c^a=ce,f^a=f^486,f^c=f^4862444 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44529241, #123×D487, C2×#29510199, … |
| maximal normal subgroup of | #44529241, #123×D487, C2×#29510199, … |
| maximal quotient of | #44528911, #44528925, #44528927, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15584, 130);