Finite Group DatabasebetaFinite Group Databasebeta| order | 16144 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
| unambiguous semidirect product | C4⋊#16860937 |
| Fitting | C4×C1009 ⋊ C4 |
| Sylow | C1009 ⋊ C4⋊C4 |
26 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4036 |
Polycyclic presentation:
2^4,1009|a^2=d,b^2=c,b^a=bc,e^a=e^469,e^d=e^10081018 conjugacy classes — view the full character table.
| maximal subgroup of | #44567931, #44567932, #44567937, … |
| maximal normal subgroup of | #44567931, #44567932, #44567937, … |
| maximal quotient of | (C2×#16860937)⋊C4, C4⋊#22549054, #44567936, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16144, 46);