Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#21422701 |
| Fitting | C2×C4×M16×C59 ⋊ C2 |
| Sylow | C59 ⋊ C2×#1529 |
1070 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7552 |
2384 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 137479);