Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#21424257 |
| Sylow | C59 ⋊ C2×#1846 |
1182 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15104 |
1712 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 169972);