Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26 |
| direct product | #97×C22⋊D59 |
| Fitting | C22×#97×C59 ⋊ C2 |
| Sylow | C59 ⋊ D4×#97 |
1274 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7552 |
2420 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 168025);