Finite Group DatabasebetaFinite Group Databasebeta| order | 800 |
| isoclinism | isoclinic class of Dic10 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C5×C8 · Schur multiplier (H2) = C2 |
| direct product | C5×#3946 |
| Sylow | C52 ⋊ C4⋊C8 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
260 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D5×#3946, #13100827, #13100829, … |
| maximal normal subgroup of | D5×#3946, #13100827, #13100829, … |
| maximal quotient of | C5×#64699, C5×#64700, C5×#64721, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(800, 299);