Finite Group Databasebeta

← Group #3726

Character table — Group #3726

Order 144.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111111112222222233333333111111112222222233333333111111112222222233333333
order184828483241224624122428482848324122462412243241224624122462412246241224324122462412243241224624122462412246241224
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ13
χ31i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i
χ41ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ23
χ51-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-1
χ61−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ13
χ71−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i
χ81−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ23
χ91111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ101ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ131ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ131ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ13
χ111i-1−i1i-1−i1i-1−i1i-1−i-1−i1i-1−i1i1i-1−i1i-1−i1i-1−i1i-1−i-1−i1i-1−i1i1i-1−i1i-1−i1i-1−i1i-1−i-1−i1i-1−i1i
χ121ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ231ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ231ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ23
χ131-11-11-11-11-11-11-11-1-11-11-11-111-11-11-11-11-11-11-11-1-11-11-11-111-11-11-11-11-11-11-11-1-11-11-11-11
χ141−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ131−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ131−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ13
χ151−i-1i1−i-1i1−i-1i1−i-1i-1i1−i-1i1−i1−i-1i1−i-1i1−i-1i1−i-1i-1i1−i-1i1−i1−i-1i1−i-1i1−i-1i1−i-1i-1i1−i-1i1−i
χ161−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ231−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ231−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ23
χ1722222222-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-100000000
χ1822ζ7+2ζ232i2ζ5+2ζ13-2−2ζ7−2ζ23−2i−2ζ5−2ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ130000000022ζ7+2ζ232i2ζ5+2ζ13-2−2ζ7−2ζ23−2i−2ζ5−2ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ130000000022ζ7+2ζ232i2ζ5+2ζ13-2−2ζ7−2ζ23−2i−2ζ5−2ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ1300000000
χ1922i-2−2i22i-2−2i-1−i1i-1−i1i0000000022i-2−2i22i-2−2i-1−i1i-1−i1i0000000022i-2−2i22i-2−2i-1−i1i-1−i1i00000000
χ2022ζ5+2ζ13−2i2ζ7+2ζ23-2−2ζ5−2ζ132i−2ζ7−2ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ230000000022ζ5+2ζ13−2i2ζ7+2ζ23-2−2ζ5−2ζ132i−2ζ7−2ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ230000000022ζ5+2ζ13−2i2ζ7+2ζ23-2−2ζ5−2ζ132i−2ζ7−2ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ2300000000
χ212-22-22-22-2-11-11-11-11000000002-22-22-22-2-11-11-11-11000000002-22-22-22-2-11-11-11-1100000000
χ222−2ζ7−2ζ232i−2ζ5−2ζ13-22ζ7+2ζ23−2i2ζ5+2ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ13000000002−2ζ7−2ζ232i−2ζ5−2ζ13-22ζ7+2ζ23−2i2ζ5+2ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ13000000002−2ζ7−2ζ232i−2ζ5−2ζ13-22ζ7+2ζ23−2i2ζ5+2ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ1300000000
χ232−2i-22i2−2i-22i-1i1−i-1i1−i000000002−2i-22i2−2i-22i-1i1−i-1i1−i000000002−2i-22i2−2i-22i-1i1−i-1i1−i00000000
χ242−2ζ5−2ζ13−2i−2ζ7−2ζ23-22ζ5+2ζ132i2ζ7+2ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ23000000002−2ζ5−2ζ13−2i−2ζ7−2ζ23-22ζ5+2ζ132i2ζ7+2ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ23000000002−2ζ5−2ζ13−2i−2ζ7−2ζ23-22ζ5+2ζ132i2ζ7+2ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ2300000000
χ25111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ261ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ13−1+i32−ζ23ζ14−ζ51−i32ζ23−ζ14ζ5−1+i32−ζ23ζ14−ζ51−i32ζ23−ζ14ζ5−1+i32−ζ23ζ14−ζ51−i32ζ23−ζ14ζ5−1−i32−ζ7ζ22−ζ131+i32ζ7−ζ22ζ13−1−i32−ζ7ζ22−ζ131+i32ζ7−ζ22ζ13−1−i32−ζ7ζ22−ζ131+i32ζ7−ζ22ζ13
χ271i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i−1+i32ζ141−i32−ζ14−1+i32ζ141−i32−ζ14−1+i32ζ141−i32−ζ14−1+i32ζ141−i32−ζ14−1+i32ζ141−i32−ζ14−1+i32ζ141−i32−ζ14−1−i32ζ221+i32−ζ22−1−i32ζ221+i32−ζ22−1−i32ζ221+i32−ζ22−1−i32ζ221+i32−ζ22−1−i32ζ221+i32−ζ22−1−i32ζ221+i32−ζ22
χ281ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ23−1+i32−ζ5−ζ14−ζ231−i32ζ5ζ14ζ23−1+i32−ζ5−ζ14−ζ231−i32ζ5ζ14ζ23−1+i32−ζ5−ζ14−ζ231−i32ζ5ζ14ζ23−1−i32−ζ13−ζ22−ζ71+i32ζ13ζ22ζ7−1−i32−ζ13−ζ22−ζ71+i32ζ13ζ22ζ7−1−i32−ζ13−ζ22−ζ71+i32ζ13ζ22ζ7
χ291-11-11-11-11-11-11-11-11-11-11-11-1−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ301−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ13−1+i32ζ23ζ14ζ51−i32−ζ23−ζ14−ζ5−1+i32ζ23ζ14ζ51−i32−ζ23−ζ14−ζ5−1+i32ζ23ζ14ζ51−i32−ζ23−ζ14−ζ5−1−i32ζ7ζ22ζ131+i32−ζ7−ζ22−ζ13−1−i32ζ7ζ22ζ131+i32−ζ7−ζ22−ζ13−1−i32ζ7ζ22ζ131+i32−ζ7−ζ22−ζ13
χ311−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i−1+i32−ζ141−i32ζ14−1+i32−ζ141−i32ζ14−1+i32−ζ141−i32ζ14−1+i32−ζ141−i32ζ14−1+i32−ζ141−i32ζ14−1+i32−ζ141−i32ζ14−1−i32−ζ221+i32ζ22−1−i32−ζ221+i32ζ22−1−i32−ζ221+i32ζ22−1−i32−ζ221+i32ζ22−1−i32−ζ221+i32ζ22−1−i32−ζ221+i32ζ22
χ321−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ23−1+i32ζ5−ζ14ζ231−i32−ζ5ζ14−ζ23−1+i32ζ5−ζ14ζ231−i32−ζ5ζ14−ζ23−1+i32ζ5−ζ14ζ231−i32−ζ5ζ14−ζ23−1−i32ζ13−ζ22ζ71+i32−ζ13ζ22−ζ7−1−i32ζ13−ζ22ζ71+i32−ζ13ζ22−ζ7−1−i32ζ13−ζ22ζ71+i32−ζ13ζ22−ζ7
χ331111111111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ341ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ13−1+i32−ζ23ζ14−ζ51−i32ζ23−ζ14ζ5−1+i32−ζ23ζ14−ζ51−i32ζ23−ζ14ζ51−i32ζ23−ζ14ζ5−1+i32−ζ23ζ14−ζ5−1−i32−ζ7ζ22−ζ131+i32ζ7−ζ22ζ13−1−i32−ζ7ζ22−ζ131+i32ζ7−ζ22ζ131+i32ζ7−ζ22ζ13−1−i32−ζ7ζ22−ζ13
χ351i-1−i1i-1−i1i-1−i1i-1−i-1−i1i-1−i1i−1+i32ζ141−i32−ζ14−1+i32ζ141−i32−ζ14−1+i32ζ141−i32−ζ14−1+i32ζ141−i32−ζ141−i32−ζ14−1+i32ζ141−i32−ζ14−1+i32ζ14−1−i32ζ221+i32−ζ22−1−i32ζ221+i32−ζ22−1−i32ζ221+i32−ζ22−1−i32ζ221+i32−ζ221+i32−ζ22−1−i32ζ221+i32−ζ22−1−i32ζ22
χ361ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ23−1+i32−ζ5−ζ14−ζ231−i32ζ5ζ14ζ23−1+i32−ζ5−ζ14−ζ231−i32ζ5ζ14ζ231−i32ζ5ζ14ζ23−1+i32−ζ5−ζ14−ζ23−1−i32−ζ13−ζ22−ζ71+i32ζ13ζ22ζ7−1−i32−ζ13−ζ22−ζ71+i32ζ13ζ22ζ71+i32ζ13ζ22ζ7−1−i32−ζ13−ζ22−ζ7
χ371-11-11-11-11-11-11-11-1-11-11-11-11−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32
χ381−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ13−1+i32ζ23ζ14ζ51−i32−ζ23−ζ14−ζ5−1+i32ζ23ζ14ζ51−i32−ζ23−ζ14−ζ51−i32−ζ23−ζ14−ζ5−1+i32ζ23ζ14ζ5−1−i32ζ7ζ22ζ131+i32−ζ7−ζ22−ζ13−1−i32ζ7ζ22ζ131+i32−ζ7−ζ22−ζ131+i32−ζ7−ζ22−ζ13−1−i32ζ7ζ22ζ13
χ391−i-1i1−i-1i1−i-1i1−i-1i-1i1−i-1i1−i−1+i32−ζ141−i32ζ14−1+i32−ζ141−i32ζ14−1+i32−ζ141−i32ζ14−1+i32−ζ141−i32ζ141−i32ζ14−1+i32−ζ141−i32ζ14−1+i32−ζ14−1−i32−ζ221+i32ζ22−1−i32−ζ221+i32ζ22−1−i32−ζ221+i32ζ22−1−i32−ζ221+i32ζ221+i32ζ22−1−i32−ζ221+i32ζ22−1−i32−ζ22
χ401−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ23−1+i32ζ5−ζ14ζ231−i32−ζ5ζ14−ζ23−1+i32ζ5−ζ14ζ231−i32−ζ5ζ14−ζ231−i32−ζ5ζ14−ζ23−1+i32ζ5−ζ14ζ23−1−i32ζ13−ζ22ζ71+i32−ζ13ζ22−ζ7−1−i32ζ13−ζ22ζ71+i32−ζ13ζ22−ζ71+i32−ζ13ζ22−ζ7−1−i32ζ13−ζ22ζ7
χ4122222222-1-1-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200000000
χ4222ζ7+2ζ232i2ζ5+2ζ13-2−2ζ7−2ζ23−2i−2ζ5−2ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ1300000000−1+i3−2ζ232ζ14−2ζ51−i32ζ23−2ζ142ζ51−i32ζ23−ζ14ζ5−1+i32−ζ23ζ14−ζ500000000−1−i3−2ζ72ζ22−2ζ131+i32ζ7−2ζ222ζ131+i32ζ7−ζ22ζ13−1−i32−ζ7ζ22−ζ1300000000
χ4322i-2−2i22i-2−2i-1−i1i-1−i1i00000000−1+i32ζ141−i3−2ζ14−1+i32ζ141−i3−2ζ141−i32−ζ14−1+i32ζ141−i32−ζ14−1+i32ζ1400000000−1−i32ζ221+i3−2ζ22−1−i32ζ221+i3−2ζ221+i32−ζ22−1−i32ζ221+i32−ζ22−1−i32ζ2200000000
χ4422ζ5+2ζ13−2i2ζ7+2ζ23-2−2ζ5−2ζ132i−2ζ7−2ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ2300000000−1+i3−2ζ5−2ζ14−2ζ231−i32ζ52ζ142ζ231−i32ζ5ζ14ζ23−1+i32−ζ5−ζ14−ζ2300000000−1−i3−2ζ13−2ζ22−2ζ71+i32ζ132ζ222ζ71+i32ζ13ζ22ζ7−1−i32−ζ13−ζ22−ζ700000000
χ452-22-22-22-2-11-11-11-1100000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i3200000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i3200000000
χ462−2ζ7−2ζ232i−2ζ5−2ζ13-22ζ7+2ζ23−2i2ζ5+2ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ1300000000−1+i32ζ232ζ142ζ51−i3−2ζ23−2ζ14−2ζ51−i32−ζ23−ζ14−ζ5−1+i32ζ23ζ14ζ500000000−1−i32ζ72ζ222ζ131+i3−2ζ7−2ζ22−2ζ131+i32−ζ7−ζ22−ζ13−1−i32ζ7ζ22ζ1300000000
χ472−2i-22i2−2i-22i-1i1−i-1i1−i00000000−1+i3−2ζ141−i32ζ14−1+i3−2ζ141−i32ζ141−i32ζ14−1+i32−ζ141−i32ζ14−1+i32−ζ1400000000−1−i3−2ζ221+i32ζ22−1−i3−2ζ221+i32ζ221+i32ζ22−1−i32−ζ221+i32ζ22−1−i32−ζ2200000000
χ482−2ζ5−2ζ13−2i−2ζ7−2ζ23-22ζ5+2ζ132i2ζ7+2ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ2300000000−1+i32ζ5−2ζ142ζ231−i3−2ζ52ζ14−2ζ231−i32−ζ5ζ14−ζ23−1+i32ζ5−ζ14ζ2300000000−1−i32ζ13−2ζ222ζ71+i3−2ζ132ζ22−2ζ71+i32−ζ13ζ22−ζ7−1−i32ζ13−ζ22ζ700000000
χ49111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ501ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ13−1−i32−ζ7ζ22−ζ131+i32ζ7−ζ22ζ13−1−i32−ζ7ζ22−ζ131+i32ζ7−ζ22ζ13−1−i32−ζ7ζ22−ζ131+i32ζ7−ζ22ζ13−1+i32−ζ23ζ14−ζ51−i32ζ23−ζ14ζ5−1+i32−ζ23ζ14−ζ51−i32ζ23−ζ14ζ5−1+i32−ζ23ζ14−ζ51−i32ζ23−ζ14ζ5
χ511i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i−1−i32ζ221+i32−ζ22−1−i32ζ221+i32−ζ22−1−i32ζ221+i32−ζ22−1−i32ζ221+i32−ζ22−1−i32ζ221+i32−ζ22−1−i32ζ221+i32−ζ22−1+i32ζ141−i32−ζ14−1+i32ζ141−i32−ζ14−1+i32ζ141−i32−ζ14−1+i32ζ141−i32−ζ14−1+i32ζ141−i32−ζ14−1+i32ζ141−i32−ζ14
χ521ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ23−1−i32−ζ13−ζ22−ζ71+i32ζ13ζ22ζ7−1−i32−ζ13−ζ22−ζ71+i32ζ13ζ22ζ7−1−i32−ζ13−ζ22−ζ71+i32ζ13ζ22ζ7−1+i32−ζ5−ζ14−ζ231−i32ζ5ζ14ζ23−1+i32−ζ5−ζ14−ζ231−i32ζ5ζ14ζ23−1+i32−ζ5−ζ14−ζ231−i32ζ5ζ14ζ23
χ531-11-11-11-11-11-11-11-11-11-11-11-1−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32
χ541−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ13−1−i32ζ7ζ22ζ131+i32−ζ7−ζ22−ζ13−1−i32ζ7ζ22ζ131+i32−ζ7−ζ22−ζ13−1−i32ζ7ζ22ζ131+i32−ζ7−ζ22−ζ13−1+i32ζ23ζ14ζ51−i32−ζ23−ζ14−ζ5−1+i32ζ23ζ14ζ51−i32−ζ23−ζ14−ζ5−1+i32ζ23ζ14ζ51−i32−ζ23−ζ14−ζ5
χ551−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i−1−i32−ζ221+i32ζ22−1−i32−ζ221+i32ζ22−1−i32−ζ221+i32ζ22−1−i32−ζ221+i32ζ22−1−i32−ζ221+i32ζ22−1−i32−ζ221+i32ζ22−1+i32−ζ141−i32ζ14−1+i32−ζ141−i32ζ14−1+i32−ζ141−i32ζ14−1+i32−ζ141−i32ζ14−1+i32−ζ141−i32ζ14−1+i32−ζ141−i32ζ14
χ561−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ23−1−i32ζ13−ζ22ζ71+i32−ζ13ζ22−ζ7−1−i32ζ13−ζ22ζ71+i32−ζ13ζ22−ζ7−1−i32ζ13−ζ22ζ71+i32−ζ13ζ22−ζ7−1+i32ζ5−ζ14ζ231−i32−ζ5ζ14−ζ23−1+i32ζ5−ζ14ζ231−i32−ζ5ζ14−ζ23−1+i32ζ5−ζ14ζ231−i32−ζ5ζ14−ζ23
χ571111111111111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ581ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ13-1−ζ7−ζ23−i−ζ5−ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ13−1−i32−ζ7ζ22−ζ131+i32ζ7−ζ22ζ13−1−i32−ζ7ζ22−ζ131+i32ζ7−ζ22ζ131+i32ζ7−ζ22ζ13−1−i32−ζ7ζ22−ζ13−1+i32−ζ23ζ14−ζ51−i32ζ23−ζ14ζ5−1+i32−ζ23ζ14−ζ51−i32ζ23−ζ14ζ51−i32ζ23−ζ14ζ5−1+i32−ζ23ζ14−ζ5
χ591i-1−i1i-1−i1i-1−i1i-1−i-1−i1i-1−i1i−1−i32ζ221+i32−ζ22−1−i32ζ221+i32−ζ22−1−i32ζ221+i32−ζ22−1−i32ζ221+i32−ζ221+i32−ζ22−1−i32ζ221+i32−ζ22−1−i32ζ22−1+i32ζ141−i32−ζ14−1+i32ζ141−i32−ζ14−1+i32ζ141−i32−ζ14−1+i32ζ141−i32−ζ141−i32−ζ14−1+i32ζ141−i32−ζ14−1+i32ζ14
χ601ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ23-1−ζ5−ζ13i−ζ7−ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ23−1−i32−ζ13−ζ22−ζ71+i32ζ13ζ22ζ7−1−i32−ζ13−ζ22−ζ71+i32ζ13ζ22ζ71+i32ζ13ζ22ζ7−1−i32−ζ13−ζ22−ζ7−1+i32−ζ5−ζ14−ζ231−i32ζ5ζ14ζ23−1+i32−ζ5−ζ14−ζ231−i32ζ5ζ14ζ231−i32ζ5ζ14ζ23−1+i32−ζ5−ζ14−ζ23
χ611-11-11-11-11-11-11-11-1-11-11-11-11−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32
χ621−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ13-1ζ7+ζ23−iζ5+ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ13−1−i32ζ7ζ22ζ131+i32−ζ7−ζ22−ζ13−1−i32ζ7ζ22ζ131+i32−ζ7−ζ22−ζ131+i32−ζ7−ζ22−ζ13−1−i32ζ7ζ22ζ13−1+i32ζ23ζ14ζ51−i32−ζ23−ζ14−ζ5−1+i32ζ23ζ14ζ51−i32−ζ23−ζ14−ζ51−i32−ζ23−ζ14−ζ5−1+i32ζ23ζ14ζ5
χ631−i-1i1−i-1i1−i-1i1−i-1i-1i1−i-1i1−i−1−i32−ζ221+i32ζ22−1−i32−ζ221+i32ζ22−1−i32−ζ221+i32ζ22−1−i32−ζ221+i32ζ221+i32ζ22−1−i32−ζ221+i32ζ22−1−i32−ζ22−1+i32−ζ141−i32ζ14−1+i32−ζ141−i32ζ14−1+i32−ζ141−i32ζ14−1+i32−ζ141−i32ζ141−i32ζ14−1+i32−ζ141−i32ζ14−1+i32−ζ14
χ641−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ23-1ζ5+ζ13iζ7+ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ23−1−i32ζ13−ζ22ζ71+i32−ζ13ζ22−ζ7−1−i32ζ13−ζ22ζ71+i32−ζ13ζ22−ζ71+i32−ζ13ζ22−ζ7−1−i32ζ13−ζ22ζ7−1+i32ζ5−ζ14ζ231−i32−ζ5ζ14−ζ23−1+i32ζ5−ζ14ζ231−i32−ζ5ζ14−ζ231−i32−ζ5ζ14−ζ23−1+i32ζ5−ζ14ζ23
χ6522222222-1-1-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200000000
χ6622ζ7+2ζ232i2ζ5+2ζ13-2−2ζ7−2ζ23−2i−2ζ5−2ζ13-1−ζ7−ζ23−i−ζ5−ζ131ζ7+ζ23iζ5+ζ1300000000−1−i3−2ζ72ζ22−2ζ131+i32ζ7−2ζ222ζ131+i32ζ7−ζ22ζ13−1−i32−ζ7ζ22−ζ1300000000−1+i3−2ζ232ζ14−2ζ51−i32ζ23−2ζ142ζ51−i32ζ23−ζ14ζ5−1+i32−ζ23ζ14−ζ500000000
χ6722i-2−2i22i-2−2i-1−i1i-1−i1i00000000−1−i32ζ221+i3−2ζ22−1−i32ζ221+i3−2ζ221+i32−ζ22−1−i32ζ221+i32−ζ22−1−i32ζ2200000000−1+i32ζ141−i3−2ζ14−1+i32ζ141−i3−2ζ141−i32−ζ14−1+i32ζ141−i32−ζ14−1+i32ζ1400000000
χ6822ζ5+2ζ13−2i2ζ7+2ζ23-2−2ζ5−2ζ132i−2ζ7−2ζ23-1−ζ5−ζ13i−ζ7−ζ231ζ5+ζ13−iζ7+ζ2300000000−1−i3−2ζ13−2ζ22−2ζ71+i32ζ132ζ222ζ71+i32ζ13ζ22ζ7−1−i32−ζ13−ζ22−ζ700000000−1+i3−2ζ5−2ζ14−2ζ231−i32ζ52ζ142ζ231−i32ζ5ζ14ζ23−1+i32−ζ5−ζ14−ζ2300000000
χ692-22-22-22-2-11-11-11-1100000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i3200000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i3200000000
χ702−2ζ7−2ζ232i−2ζ5−2ζ13-22ζ7+2ζ23−2i2ζ5+2ζ13-1ζ7+ζ23−iζ5+ζ131−ζ7−ζ23i−ζ5−ζ1300000000−1−i32ζ72ζ222ζ131+i3−2ζ7−2ζ22−2ζ131+i32−ζ7−ζ22−ζ13−1−i32ζ7ζ22ζ1300000000−1+i32ζ232ζ142ζ51−i3−2ζ23−2ζ14−2ζ51−i32−ζ23−ζ14−ζ5−1+i32ζ23ζ14ζ500000000
χ712−2i-22i2−2i-22i-1i1−i-1i1−i00000000−1−i3−2ζ221+i32ζ22−1−i3−2ζ221+i32ζ221+i32ζ22−1−i32−ζ221+i32ζ22−1−i32−ζ2200000000−1+i3−2ζ141−i32ζ14−1+i3−2ζ141−i32ζ141−i32ζ14−1+i32−ζ141−i32ζ14−1+i32−ζ1400000000
χ722−2ζ5−2ζ13−2i−2ζ7−2ζ23-22ζ5+2ζ132i2ζ7+2ζ23-1ζ5+ζ13iζ7+ζ231−ζ5−ζ13−i−ζ7−ζ2300000000−1−i32ζ13−2ζ222ζ71+i3−2ζ132ζ22−2ζ71+i32−ζ13ζ22−ζ7−1−i32ζ13−ζ22ζ700000000−1+i32ζ5−2ζ142ζ231−i3−2ζ52ζ14−2ζ231−i32−ζ5ζ14−ζ23−1+i32ζ5−ζ14ζ2300000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.