Finite Group DatabasebetaFinite Group Databasebeta| order | 15584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C8×C487 ⋊ C2 |
| Sylow | C487 ⋊ #131 |
62 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7792 |
Polycyclic presentation:
2^5,487|a^2=d,d^2=e,c^b=ce,f^c=f^4863908 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44528833, #44528835, #44529165, … |
| maximal normal subgroup of | #44528833, #44528835, #44529165, … |
| maximal quotient of | #44529004, #44529005, #44529015, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15584, 152);