Finite Group DatabasebetaFinite Group Databasebeta| order | 11830 |
| isoclinism | isoclinic class of D5 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C7×C169 · Schur multiplier (H2) = C1 |
| direct product | C7×D5×C169 |
| unambiguous semidirect product | C5⋊(C2×C7×C169) |
| Fitting, Hall | C5×C7×C169 ⋊ C2 |
| derived, Sylow | C5 ⋊ C2×C7×C169 |
| Hall | C5×C169 ⋊ C2×C7 |
| Hall | C5×C7 ⋊ C2×C169 |
24 conjugacy classes of subgroups.
4732 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11830, 5);