| order | 1040 |
| isoclinism | isoclinic class of Dic10 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C13 · Schur multiplier (H2) = C22 |
| direct product | C2×C13×Dic10 |
| unambiguous semidirect product | (C2×C5)⋊(Q8×C13) |
| Hall | C5×C13 ⋊ C2×Q8 |
| Sylow | C5 ⋊ C2×Q8×C13 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1040 |
338 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1040, 192);