Finite Group DatabasebetaFinite Group Databasebeta| order | 800 |
| isoclinism | isoclinic class of Dic10 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C5×C8 · Schur multiplier (H2) = C1 |
| direct product | C5×#3930 |
| Fitting | C52×C16 ⋊ C2 |
| Sylow | C52 ⋊ M32 |
62 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
260 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C5×#64845, C5×#64846, C5×#64847, … |
| maximal normal subgroup of | C5×#64845, C5×#64846, C5×#64847, … |
| maximal quotient of | C5×#64721, C5×#64722, C5×#64727, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(800, 283);