Finite Group DatabasebetaFinite Group Databasebeta| order | 1600 |
| isoclinism | isoclinic class of Dic10 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C5×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×C5×C22⋊#168 |
| Sylow | C52 ⋊ C2×C22⋊C8 |
640 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
520 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1600, 4819);