Finite Group DatabasebetaFinite Group Databasebeta| order | 1360 |
| isoclinism | isoclinic class of Dic10 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C17 · Schur multiplier (H2) = C23 |
| direct product | C2×C17×C22⋊D5 |
| unambiguous semidirect product | C23⋊(D5×C17) |
| Fitting | C23×C5×C17 ⋊ C2 |
| Hall | C5×C17 ⋊ C2×D4 |
| Sylow | C5 ⋊ C2×D4×C17 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 680 |
442 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1360, 205);