Finite Group DatabasebetaFinite Group Databasebeta| order | 16208 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊#16860990 |
| unambiguous semidirect product | (C2×#16860990)⋊C2 |
| Fitting | C22×C1013 ⋊ C4 |
| Sylow | C1013 ⋊ C22⋊C4 |
34 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4052 |
Polycyclic presentation:
2^4,1013|a^2=d,b^a=bc,e^a=e^968,e^d=e^10121022 conjugacy classes — view the full character table.
| maximal subgroup of | #44569710, #44569711, C2×C22⋊#16860990, … |
| maximal normal subgroup of | #44569710, #44569711, C2×C22⋊#16860990, … |
| maximal quotient of | (C2×#16860990)⋊C4, C22⋊#22549208, #44569709, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16208, 45);