Finite Group DatabasebetaFinite Group Databasebeta| order | 2000 |
| isoclinism | isoclinic class of Dic10 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C52 · Schur multiplier (H2) = C2×C5 |
| direct product | C52×C4⋊Dic5 |
| unambiguous semidirect product | C4⋊(C52×Dic5) |
| Sylow | C53 ⋊ C4⋊C4 |
400 conjugacy classes of subgroups.
| transitive degree | μt(G) = 400 |
650 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2000, 578);