Finite Group DatabasebetaFinite Group Databasebeta| order | 15584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C8×C487 ⋊ C2 |
| Sylow | C487 ⋊ #135 |
62 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7792 |
Polycyclic presentation:
2^5,487|c^2=e,d^2=e,b^a=bd,d^a=de,f^a=f^486,d^b=de,f^b=f^4863902 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44528856, #44528858, #44528859, … |
| maximal normal subgroup of | #44528856, #44528858, #44528859, … |
| maximal quotient of | #44529047, #44529088, C4×D3896, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15584, 168);