Finite Group DatabasebetaFinite Group Databasebeta| order | 28956 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C19 · Schur multiplier (H2) = C1 |
| direct product | C19×(C127⋊C3)⋊C4 |
| unambiguous semidirect product | (C127⋊C3)⋊(C4×C19) |
| unambiguous semidirect product | Dic127⋊(C3×C19) |
| derived, Sylow | C127 ⋊ C3×C4×C19 |
| Hall | C19×Dic127 ⋊ C3 |
| Hall | C19×C127⋊C3 ⋊ C4 |
| Hall | C19×C127 ⋊ C3×C4 |
| Hall | Dic127 ⋊ C3×C19 |
| Hall | C127⋊C3 ⋊ C4×C19 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9652 |
1026 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(28956, 13);