Finite Group DatabasebetaFinite Group Databasebeta| order | 800 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | SD16×D25 |
| Fitting | SD16×C25 ⋊ C2 |
| Sylow | C25 ⋊ C2×SD16 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 200 |
98 conjugacy classes — view the full character table.
| maximal subgroup of | SD16×#1035, #13098726, C2×SD16×D25, … |
| maximal normal subgroup of | SD16×#1035, #13098726, C2×SD16×D25, … |
| maximal quotient of | #13098033, #13098034, #13098035, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(800, 134);