Finite Group DatabasebetaFinite Group Databasebeta| order | 15584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C487 ⋊ #126 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7792 |
Polycyclic presentation:
2^5,487|b^2=de,c^2=d,b^a=bd,c^a=ce,f^c=f^4862444 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #126×D487, C2×#29510208, #44529577, … |
| maximal normal subgroup of | #126×D487, C2×#29510208, #44529577, … |
| maximal quotient of | #44528917, #44528932, #44528935, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15584, 139);