Finite Group DatabasebetaFinite Group Databasebeta| order | 1080 |
| isoclinism | isoclinic class of Dic10 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C33 · Schur multiplier (H2) = C33 |
| direct product | C33×Dic10 |
| unambiguous semidirect product | C5⋊(C33×Q8) |
| Hall | C33×C5 ⋊ Q8 |
| Sylow | C5 ⋊ C33×Q8 |
336 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1080 |
351 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1080, 449);