Finite Group DatabasebetaFinite Group Databasebeta| order | 16208 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊Dic1013 |
| Sylow | C1013 ⋊ C22⋊C4 |
34 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8104 |
Polycyclic presentation:
2^4,1013|a^2=d,b^a=bc,e^a=e^10124058 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44569566, #44569567, C22⋊C4×D1013, … |
| maximal normal subgroup of | #44569566, #44569567, C22⋊C4×D1013, … |
| maximal quotient of | #44569559, C22⋊#22549201, #44569567, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16208, 18);