Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C43 · Schur multiplier (H2) = C24×C43 |
| direct product | C42×C22⋊Dic59 |
| Sylow | C59 ⋊ C42×C22⋊C4 |
3342 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7552 |
3872 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 90643);