Finite Group DatabasebetaFinite Group Databasebeta| order | 29340 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2 |
| direct product | C2×C5⋊(#13091812⋊C2) |
| unambiguous semidirect product | (C2×C5)⋊(#13091812⋊C2) |
| unambiguous semidirect product | (C2×#13091812)⋊D5 |
| derived, Hall | C5×C163 ⋊ C22×C9 |
| Hall | C5×#13091812 ⋊ C22 |
| Hall | C2×D815 ⋊ C9 |
| Hall | #13091812 ⋊ C2×D5 |
| Sylow | C163 ⋊ C2×C9×D5 |
| Sylow | C5 ⋊ C2×#13091812⋊C2 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14670 |
882 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(29340, 18);