Finite Group DatabasebetaFinite Group Databasebeta| order | 15584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#21441251 |
| Sylow | C487 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15584 |
2444 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44529142, C4×#21441251, #44529154, … |
| maximal normal subgroup of | #44529142, C4×#21441251, #44529154, … |
| maximal quotient of | C2×#29510138, C2×#29510139, C2×#29510148, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15584, 163);