Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×#16837795 |
| Fitting | C2×C4×Q16×C59 ⋊ C2 |
| Sylow | C59 ⋊ C4×#497 |
1094 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7552 |
1688 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 178119);