Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | Q8×#14273750 |
| Fitting | Q8×Q16×C59 ⋊ C2 |
| Sylow | C59 ⋊ Q8×#135 |
1786 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7552 |
1085 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 1050038);