Finite Group DatabasebetaFinite Group Databasebeta| order | 800 |
| isoclinism | isoclinic class of Dic50 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D100 |
| Fitting | C42×C25 ⋊ C2 |
| Sylow | C25 ⋊ C4×D4 |
141 conjugacy classes of subgroups.
| transitive degree | μt(G) = 400 |
212 conjugacy classes — view the full character table.
| maximal subgroup of | #13097669, #13097691, C8×D100, … |
| maximal normal subgroup of | #13097669, #13097691, C8×D100, … |
| maximal quotient of | #13097939, #13097944, #13097945, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(800, 94);