Name(s): t16n689
Order: 256 = 28
Parity: 1
|Aut(K)|=|CS16(G)|= 4
Subfields: 2T1, 4T3, 8T15, 8T35, 8T35
Other representations: 16T701, 16T701, 16T701, 16T701, 16T701, 16T689, 16T689, 16T689, 16T689, 16T701, 16T701, 16T701, 16T701, 16T701, 16T701, 16T701, 16T701, 16T701, 16T689, 16T689, 16T689, 16T689, 16T689, 16T689, 16T689, 16T689, 16T689, 16T689, 16T689, 16T701, 16T701
Resolvents
2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
8: 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T3
16: 8T6, 8T6, 8T9, 8T9, 8T9
32: 8T15, 8T18, 16T29
64: 8T26, 8T29, 16T126
128: 8T35, 8T35, 16T409