Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×C59⋊#1308 |
| unambiguous semidirect product | (C2×C59)⋊#1308 |
| Sylow | C59 ⋊ C2×#1308 |
526 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7552 |
1676 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 59969);