Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C22×#16837424 |
| Fitting | C22×C4⋊C8×C59 ⋊ C2 |
| Sylow | C59 ⋊ C22×#423 |
3438 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7552 |
2432 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 1033178);