Finite Group DatabasebetaFinite Group Databasebeta| order | 13900 |
| isoclinism | isoclinic class of D139 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C25 · Schur multiplier (H2) = C2 |
| direct product | C2×C25×D139 |
| unambiguous semidirect product | C139⋊(C22×C25) |
| unambiguous semidirect product | (C2×C139)⋊(C2×C25) |
| Fitting | C2×C25×C139 ⋊ C2 |
| derived, Sylow | C139 ⋊ C22×C25 |
| Hall | C25×C139 ⋊ C22 |
30 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6950 |
3550 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13900, 11);