Finite Group DatabasebetaFinite Group Databasebeta| order | 14076 |
| isoclinism | isoclinic class of D23 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9×C17 · Schur multiplier (H2) = C2 |
| direct product | C2×C9×C17×D23 |
| unambiguous semidirect product | C23⋊(C22×C9×C17) |
| unambiguous semidirect product | (C2×C23)⋊(C2×C9×C17) |
| Fitting | C2×C9×C17×C23 ⋊ C2 |
| derived, Sylow | C23 ⋊ C22×C9×C17 |
| Hall | C9×C17×C23 ⋊ C22 |
| Hall | C17×C23 ⋊ C22×C9 |
| Hall | C9×C23 ⋊ C22×C17 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7038 |
3978 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14076, 28);