Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28 |
| direct product | #564×Dic59 |
| Sylow | C59 ⋊ C4×#564 |
1800 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15104 |
1178 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 332290);