Finite Group Databasebeta

← Group #13091524

Character table — Group #13091524

Order 1458.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size1112223333336666666666666666666661818181818181818181818181818181818181818181818181818181818181818818181818181818181
order13333399999933333333333399999999999999999999999999999999999999999266181818181818
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111−1+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−i3211111111−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ4111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111−1+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−i3211111111−1+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−i32-1-1-11−i321−i321−i321+i321+i321+i32
χ5111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111−1−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+i3211111111−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ6111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111−1−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+i3211111111−1−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+i32-1-1-11+i321+i321+i321−i321−i321−i32
χ7222222222222222222222222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000
χ8222222222222222-1-1-1-1-1-1-1-1-12222222222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000
χ9222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-1-1-1222-1-1-1-1-1222-1-1-1-1-1222-1-1-1000000000
χ10222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1222-1-1-1-1-1222-1-1-1-1-1222000000000
χ11222222222222-1-1-1222-1-1-1-1-1-1222222222-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-1000000000
χ12222222222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-12-1-12-1-12-12-1-12-1-12-12-1-12-1-12-1000000000
χ13222222222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-12-1-12-1-12-12-1-12-1-12-12-1-12-1-12000000000
χ14222222222222-1-1-1-1-1-1222-1-1-1222222222-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12000000000
χ15222222222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-12-1-1-122-1-12-1-1-122-1-12-1-1-122-1-1000000000
χ16222222222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-122-1-1-12-1-122-1-1-12-1-122-1-1-12-1000000000
χ17222222222222-1-1-1-1-1-1-1-1-1222222222222-1-1-12-1-1-12-1-1-1-12-12-1-1-1-1-12-12-1-1-1-1-12-12-1000000000
χ18222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-12-1-1-1-122-12-1-1-1-122-12-1-1-1-12000000000
χ19222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-12-12-12-1-1-12-12-12-1-1-12-12-12-1-1000000000
χ20222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222222222222-1-1-11−i321−i321−i321+i321+i321+i32−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32000000000
χ21222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222-1-1-1-1-1-1-1-1-1222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i31−i321−i321−i32−1−i31+i321+i321+i3222-1-1-1-1-1-1−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000000
χ22222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32-1-1222-1-1-11−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32000000000
χ23222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32-1-1-1-1-12221−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3000000000
χ24222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1222-1-1-1-1-1-1222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i32−1+i31−i321−i321+i32−1−i31+i321+i32-1-12-1-12-1-11−i321−i32−1+i31−i321−i32−1+i31−i321−i321+i321+i32−1−i31+i321+i32−1−i31+i321+i32000000000
χ25222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1222-1-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i322-1-12-1-12-1−1+i31−i321−i32−1+i31−i321−i32−1+i31−i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i32000000000
χ26222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1222-1-1-1-1-1-1-1-1-11−i321−i321−i321+i321+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i32-12-1-12-1-121−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31+i32−1−i31+i321+i32−1−i31+i321+i32−1−i3000000000
χ27222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-1222-1-1-1222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i321−i32−1+i31−i321+i321+i32−1−i31+i32-1-1-12-1-1-121−i321−i321−i32−1+i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3000000000
χ28222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-1222-1-1-1-1-1-11−i321−i321−i321+i321+i321+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i322-1-1-122-1-1−1+i31−i321−i321−i32−1+i3−1+i31−i321−i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i32000000000
χ29222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-1222-1-1-1-1-1-11−i321−i321−i321+i321+i321+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i32-122-1-1-12-11−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i32000000000
χ30222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-1-1222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i3-1-1-1-12-12-11−i321−i321−i321−i32−1+i31−i32−1+i31−i321+i321+i321+i321+i32−1−i31+i32−1−i31+i32000000000
χ31222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-1-1222-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i32−1+i31+i321+i321+i32−1−i32-12-1-1-1-12−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3000000000
χ32222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-1-1222-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i32−1+i31+i321+i321+i32−1−i3-12-12-12-1-11−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321+i32−1−i31+i32−1−i31+i32−1−i31+i321+i32000000000
χ33222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222222222222-1-1-11+i321+i321+i321−i321−i321−i32−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32000000000
χ34222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222-1-1-1-1-1-1-1-1-1222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i31+i321+i321+i32−1+i31−i321−i321−i3222-1-1-1-1-1-1−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000000
χ35222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32-1-1222-1-1-11+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32000000000
χ36222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32-1-1-1-1-12221+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3000000000
χ37222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1222-1-1-1-1-1-1222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i32−1−i31+i321+i321−i32−1+i31−i321−i32-1-12-1-12-1-11+i321+i32−1−i31+i321+i32−1−i31+i321+i321−i321−i32−1+i31−i321−i32−1+i31−i321−i32000000000
χ38222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1222-1-1-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i322-1-12-1-12-1−1−i31+i321+i32−1−i31+i321+i32−1−i31+i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i32000000000
χ39222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1222-1-1-1-1-1-1-1-1-11+i321+i321+i321−i321−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i32-12-1-12-1-121+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31−i32−1+i31−i321−i32−1+i31−i321−i32−1+i3000000000
χ40222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-1222-1-1-1222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i321+i32−1−i31+i321−i321−i32−1+i31−i32-1-1-12-1-1-121+i321+i321+i32−1−i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3000000000
χ41222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-1222-1-1-1-1-1-11+i321+i321+i321−i321−i321−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i322-1-1-122-1-1−1−i31+i321+i321+i32−1−i3−1−i31+i321+i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i32000000000
χ42222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-1222-1-1-1-1-1-11+i321+i321+i321−i321−i321−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i32-122-1-1-12-11+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i32000000000
χ43222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-1222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i3-1-1-1-12-12-11+i321+i321+i321+i32−1−i31+i32−1−i31+i321−i321−i321−i321−i32−1+i31−i32−1+i31−i32000000000
χ44222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-1222-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i32−1−i31−i321−i321−i32−1+i32-12-1-1-1-12−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3000000000
χ45222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-1222-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i32−1−i31−i321−i321−i32−1+i3-12-12-12-1-11+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321−i32−1+i31−i32−1+i31−i32−1+i31−i321−i32000000000
χ463−3+3i32−3−3i323−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ80000000000003−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ8000000000000000000000000000000001−1+i32−1−i32ζζ4ζ7ζ2ζ5ζ8
χ473−3+3i32−3−3i323−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ80000000000003−3+3i32−3−3i323ζ3ζ43ζ73ζ23ζ53ζ800000000000000000000000000000000-11−i321+i32−ζ−ζ4−ζ7−ζ2−ζ5−ζ8
χ483−3+3i32−3−3i323−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ50000000000003−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ5000000000000000000000000000000001−1+i32−1−i32ζ4ζ7ζζ8ζ2ζ5
χ493−3+3i32−3−3i323−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ50000000000003−3+3i32−3−3i323ζ43ζ73ζ3ζ83ζ23ζ500000000000000000000000000000000-11−i321+i32−ζ4−ζ7−ζ−ζ8−ζ2−ζ5
χ503−3+3i32−3−3i323−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ20000000000003−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ2000000000000000000000000000000001−1+i32−1−i32ζ7ζζ4ζ5ζ8ζ2
χ513−3+3i32−3−3i323−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ20000000000003−3+3i32−3−3i323ζ73ζ3ζ43ζ53ζ83ζ200000000000000000000000000000000-11−i321+i32−ζ7−ζ−ζ4−ζ5−ζ8−ζ2
χ523−3−3i32−3+3i323−3−3i32−3+3i323ζ23ζ83ζ53ζ43ζ3ζ70000000000003−3−3i32−3+3i323ζ23ζ83ζ53ζ43ζ3ζ7000000000000000000000000000000001−1−i32−1+i32ζ2ζ8ζ5ζ4ζζ7
χ533−3−3i32−3+3i323−3−3i32−3+3i323ζ23ζ83ζ53ζ43ζ3ζ70000000000003−3−3i32−3+3i323ζ23ζ83ζ53ζ43ζ3ζ700000000000000000000000000000000-11+i321−i32−ζ2−ζ8−ζ5−ζ4−ζ−ζ7
χ543−3−3i32−3+3i323−3−3i32−3+3i323ζ53ζ23ζ83ζ3ζ73ζ40000000000003−3−3i32−3+3i323ζ53ζ23ζ83ζ3ζ73ζ4000000000000000000000000000000001−1−i32−1+i32ζ5ζ2ζ8ζζ7ζ4
χ553−3−3i32−3+3i323−3−3i32−3+3i323ζ53ζ23ζ83ζ3ζ73ζ40000000000003−3−3i32−3+3i323ζ53ζ23ζ83ζ3ζ73ζ400000000000000000000000000000000-11+i321−i32−ζ5−ζ2−ζ8−ζ−ζ7−ζ4
χ563−3−3i32−3+3i323−3−3i32−3+3i323ζ83ζ53ζ23ζ73ζ43ζ0000000000003−3−3i32−3+3i323ζ83ζ53ζ23ζ73ζ43ζ000000000000000000000000000000001−1−i32−1+i32ζ8ζ5ζ2ζ7ζ4ζ
χ573−3−3i32−3+3i323−3−3i32−3+3i323ζ83ζ53ζ23ζ73ζ43ζ0000000000003−3−3i32−3+3i323ζ83ζ53ζ23ζ73ζ43ζ00000000000000000000000000000000-11+i321−i32−ζ8−ζ5−ζ2−ζ7−ζ4−ζ
χ58666-3-3-30000006-3-36-3-36-3-36-3-300000000000000000000000000000000000000000000000000
χ59666-3-3-30000006-3-3-36-3-36-3-36-300000000000000000000000000000000000000000000000000
χ60666-3-3-30000006-3-3-3-36-3-36-3-3600000000000000000000000000000000000000000000000000
χ61666-3-3-3000000-36-36-3-3-36-3-3-3600000000000000000000000000000000000000000000000000
χ62666-3-3-3000000-36-3-36-3-3-366-3-300000000000000000000000000000000000000000000000000
χ63666-3-3-3000000-36-3-3-366-3-3-36-300000000000000000000000000000000000000000000000000
χ64666-3-3-3000000-3-366-3-3-3-36-36-300000000000000000000000000000000000000000000000000
χ65666-3-3-3000000-3-36-36-36-3-3-3-3600000000000000000000000000000000000000000000000000
χ66666-3-3-3000000-3-36-3-36-36-36-3-300000000000000000000000000000000000000000000000000
χ676−3+3i3−3−3i36−3+3i3−3−3i36ζ6ζ46ζ76ζ26ζ56ζ8000000000000-33−3i323+3i32−3ζ−3ζ4−3ζ7−3ζ2−3ζ5−3ζ800000000000000000000000000000000000000000
χ686−3+3i3−3−3i36−3+3i3−3−3i36ζ46ζ76ζ6ζ86ζ26ζ5000000000000-33−3i323+3i32−3ζ4−3ζ7−3ζ−3ζ8−3ζ2−3ζ500000000000000000000000000000000000000000
χ696−3+3i3−3−3i36−3+3i3−3−3i36ζ76ζ6ζ46ζ56ζ86ζ2000000000000-33−3i323+3i32−3ζ7−3ζ−3ζ4−3ζ5−3ζ8−3ζ200000000000000000000000000000000000000000
χ706−3−3i3−3+3i36−3−3i3−3+3i36ζ26ζ86ζ56ζ46ζ6ζ7000000000000-33+3i323−3i32−3ζ2−3ζ8−3ζ5−3ζ4−3ζ−3ζ700000000000000000000000000000000000000000
χ716−3−3i3−3+3i36−3−3i3−3+3i36ζ56ζ26ζ86ζ6ζ76ζ4000000000000-33+3i323−3i32−3ζ5−3ζ2−3ζ8−3ζ−3ζ7−3ζ400000000000000000000000000000000000000000
χ726−3−3i3−3+3i36−3−3i3−3+3i36ζ86ζ56ζ26ζ76ζ46ζ000000000000-33+3i323−3i32−3ζ8−3ζ5−3ζ2−3ζ7−3ζ4−3ζ00000000000000000000000000000000000000000
χ7318−9+9i3−9−9i3-99−9i329+9i3200000000000000000000000000000000000000000000000000000000000000000000
χ7418−9−9i3−9+9i3-99+9i329−9i3200000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.