Finite Group Databasebeta

← Group #72245518

Character table — Group #72245518

Order 2016.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11222222244666677771212121212121212121212121414141414141414141414141414282828282828282828282828282828282828282828283636363684848484848484848484
order122344612126127142828336624142128424242848484843366661212121212121212668812122424242424242424242424242424242414142828226666661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ31111111111111111111-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111-1-111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ5111111111111111−1−i32−1+i32−1−i32−1+i32111111111111−1−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+i3211−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32
χ6111111111111111−1−i32−1+i32−1−i32−1+i32111111111111−1−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+i32-1-1−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32
χ7111111111111111−1−i32−1+i32−1−i32−1+i32-1-11111111111−1−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+i3211−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321−i321+i321+i321−i321−i321+i321−i32
χ8111111111111111−1−i32−1+i32−1−i32−1+i32-1-11111111111−1−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+i32-1-1−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-1-1-1111+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i32
χ9111111111111111−1+i32−1−i32−1+i32−1−i32111111111111−1+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−i3211−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32
χ10111111111111111−1+i32−1−i32−1+i32−1−i32111111111111−1+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−i32-1-1−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32
χ11111111111111111−1+i32−1−i32−1+i32−1−i32-1-11111111111−1+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−i3211−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321+i321−i321−i321+i321+i321−i321+i32
χ12111111111111111−1+i32−1−i32−1+i32−1−i32-1-11111111111−1+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−i32-1-1−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-1-1-1111−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i32
χ1311-11-11111-1-111-1-111111-1-111-1-1111-1-111-1-111-1-1111111-1-11-1-1-111-1-1111-1-1-1111-1-1-111-1-11-1111-11-1-1-1
χ1411-11-11111-1-111-1-111111-1-111-1-1111-1-111-1-111-1-1111111-1-1-11-1-1-1-111-1-1-1111-1-1-111111-1-1-1111-11-11-1-1
χ1511-11-11111-1-111-1-11111-11-111-1-1111-1-111-1-111-1-1111111-1-11-1-1-111-1-1111-1-1-1111-1-1-1-1-111-11-1-1-11-1111
χ1611-11-11111-1-111-1-11111-11-111-1-1111-1-111-1-111-1-1111111-1-1-11-1-1-1-111-1-1-1111-1-1-1111-1-1111-1-1-11-11-111
χ1711-11-11111-1-111-1-1−1−i32−1+i32−1−i32−1+i321-1-111-1-1111-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i321-11+i321−i3211-1-1−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i3211-1-11-1−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32
χ1811-11-11111-1-111-1-1−1−i32−1+i32−1−i32−1+i321-1-111-1-1111-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i32-111+i321−i32-1-1111+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i3211-1-1-11−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32
χ1911-11-11111-1-111-1-1−1−i32−1+i32−1−i32−1+i32-11-111-1-1111-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i321-11+i321−i3211-1-1−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32-1-111-111+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i32
χ2011-11-11111-1-111-1-1−1−i32−1+i32−1−i32−1+i32-11-111-1-1111-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i32-111+i321−i32-1-1111+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32-1-1111-11+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32
χ2111-11-11111-1-111-1-1−1+i32−1−i32−1+i32−1−i321-1-111-1-1111-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i321-11−i321+i3211-1-1−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i3211-1-11-1−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32
χ2211-11-11111-1-111-1-1−1+i32−1−i32−1+i32−1−i321-1-111-1-1111-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i32-111−i321+i32-1-1111−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i3211-1-1-11−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32
χ2311-11-11111-1-111-1-1−1+i32−1−i32−1+i32−1−i32-11-111-1-1111-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i321-11−i321+i3211-1-1−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32-1-111-111−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i32
χ2411-11-11111-1-111-1-1−1+i32−1−i32−1+i32−1−i32-11-111-1-1111-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i32-111−i321+i32-1-1111−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32-1-1111-11−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32
χ252222-2-22-2-22-222-2-222220022-2222-2-2-2-2222222-2-2-2-2-2-2-2-22200-2-2000000000000000000000000000000
χ262222-2-22-2-22-222-2-2−1−i3−1+i3−1−i3−1+i30022-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i31+i31+i31−i31−i3−1−i3−1+i3001+i31−i3000000000000000000000000000000
χ272222-2-22-2-22-222-2-2−1+i3−1−i3−1+i3−1−i30022-2222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i31−i31−i31+i31+i3−1+i3−1−i3001−i31+i3000000000000000000000000000000
χ28222-122-1-1-1-1-122222222002-12-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-122-1-1-1-1-1-12-1-12-1-12-1-12-1-100000000000000
χ29222-122-1-1-1-1-122222222002-12-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-2-2-1-11111-211-211-211-21100000000000000
χ30222-122-1-1-1-1-12222−1−i3−1+i3−1−i3−1+i3002-12-1-1-1-1-1-1-11+i321−i32−1−i3−1+i31+i321−i32−1−i3−1+i3−1−i3−1+i31+i321+i321−i321−i321+i321−i32221+i321−i32-1-1-1-1−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i3200000000000000
χ31222-122-1-1-1-1-12222−1−i3−1+i3−1−i3−1+i3002-12-1-1-1-1-1-1-11+i321−i32−1−i3−1+i31+i321−i32−1−i3−1+i3−1−i3−1+i31+i321+i321−i321−i321+i321−i32-2-21+i321−i3211111+i3−1−i32−1−i321+i3−1−i32−1−i321−i3−1+i32−1+i321−i3−1+i32−1+i3200000000000000
χ32222-122-1-1-1-1-12222−1+i3−1−i3−1+i3−1−i3002-12-1-1-1-1-1-1-11−i321+i32−1+i3−1−i31−i321+i32−1+i3−1−i3−1+i3−1−i31−i321−i321+i321+i321−i321+i32221−i321+i32-1-1-1-1−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i3200000000000000
χ33222-122-1-1-1-1-12222−1+i3−1−i3−1+i3−1−i3002-12-1-1-1-1-1-1-11−i321+i32−1+i3−1−i31−i321+i32−1+i3−1−i3−1+i3−1−i31−i321−i321+i321+i321−i321+i32-2-21−i321+i3211111−i3−1+i32−1+i321−i3−1+i32−1+i321+i3−1−i32−1−i321+i3−1−i32−1−i3200000000000000
χ34222-1-2-2-111-1122-2-22222002-1-2-1-1-11111-1-122-1-1-2-2-2-21111-1-100113−33−303−303−303−303−300000000000000
χ35222-1-2-2-111-1122-2-22222002-1-2-1-1-11111-1-122-1-1-2-2-2-21111-1-10011−33−330−330−330−330−3300000000000000
χ36222-1-2-2-111-1122-2-2−1−i3−1+i3−1−i3−1+i3002-1-2-1-1-111111+i321−i32−1−i3−1+i31+i321−i321+i31−i31+i31−i3−1−i32−1−i32−1+i32−1+i321+i321−i3200−1−i32−1+i323−33−30ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ830ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ830−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ830−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ8300000000000000
χ37222-1-2-2-111-1122-2-2−1−i3−1+i3−1−i3−1+i3002-1-2-1-1-111111+i321−i32−1−i3−1+i31+i321−i321+i31−i31+i31−i3−1−i32−1−i32−1+i32−1+i321+i321−i3200−1−i32−1+i32−33−330−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ830−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ8302ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ8302ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ8300000000000000
χ38222-1-2-2-111-1122-2-2−1+i3−1−i3−1+i3−1−i3002-1-2-1-1-111111−i321+i32−1+i3−1−i31−i321+i321−i31+i31−i31+i3−1+i32−1+i32−1−i32−1−i321−i321+i3200−1+i32−1−i323−33−30−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ830−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ830ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ830ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ8300000000000000
χ39222-1-2-2-111-1122-2-2−1+i3−1−i3−1+i3−1−i3002-1-2-1-1-111111−i321+i32−1+i3−1−i31−i321+i321−i31+i31−i31+i3−1+i32−1+i32−1−i32−1−i321−i321+i3200−1+i32−1−i32−33−3302ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ8302ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ830−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ830−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ8300000000000000
χ4022-222-22-2-2-222222222200-22-2-2-22-2-22222-2-22222-2-2-2-2-2-2-2-20022000000000000000000000000000000
χ4122-222-22-2-2-222222−1−i3−1+i3−1−i3−1+i300-22-2-2-22-2-222−1−i3−1+i31+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i31+i31+i31−i31−i31+i31−i300−1−i3−1+i3000000000000000000000000000000
χ4222-222-22-2-2-222222−1+i3−1−i3−1+i3−1−i300-22-2-2-22-2-222−1+i3−1−i31−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i31−i31−i31+i31+i31−i31+i300−1+i3−1−i3000000000000000000000000000000
χ4322-2-12-2-1111-12222222200-2-1-211-111-1-1-1-1-2-2-1-122-2-211111100-1-13−3−3303−30−3303−30−3300000000000000
χ4422-2-12-2-1111-12222222200-2-1-211-111-1-1-1-1-2-2-1-122-2-211111100-1-1−333−30−3303−30−3303−300000000000000
χ4522-2-12-2-1111-12222−1−i3−1+i3−1−i3−1+i300-2-1-211-111-1-11+i321−i321+i31−i31+i321−i32−1−i3−1+i31+i31−i3−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32001+i321−i323−3−330ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ830−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ830−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ8302ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ8300000000000000
χ4622-2-12-2-1111-12222−1−i3−1+i3−1−i3−1+i300-2-1-211-111-1-11+i321−i321+i31−i31+i321−i32−1−i3−1+i31+i31−i3−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32001+i321−i32−333−30−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ830ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ8302ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ830−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ8300000000000000
χ4722-2-12-2-1111-12222−1+i3−1−i3−1+i3−1−i300-2-1-211-111-1-11−i321+i321−i31+i31−i321+i32−1+i3−1−i31−i31+i3−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32001−i321+i323−3−330−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ8302ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ830ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ830−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ8300000000000000
χ4822-2-12-2-1111-12222−1+i3−1−i3−1+i3−1−i300-2-1-211-111-1-11−i321+i321−i31+i31−i321+i32−1+i3−1−i31−i31+i3−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32001−i321+i32−333−302ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ830−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ830−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ830ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ8300000000000000
χ4922-2-1-22-1-1-11122-2-2222200-2-1211-1-1-111-1-1-2-2-1-1-2-222-1-1-1-1112-211-1-1112-1-1-2112-1-1-21100000000000000
χ5022-2-1-22-1-1-11122-2-2222200-2-1211-1-1-111-1-1-2-2-1-1-2-222-1-1-1-111-221111-1-1-2112-1-1-2112-1-100000000000000
χ5122-2-1-22-1-1-11122-2-2−1−i3−1+i3−1−i3−1+i300-2-1211-1-1-1111+i321−i321+i31−i31+i321−i321+i31−i3−1−i3−1+i31+i321+i321−i321−i32−1−i32−1+i322-2−1−i32−1+i32-1-111−1−i31+i321+i321+i3−1−i32−1−i32−1+i31−i321−i321−i3−1+i32−1+i3200000000000000
χ5222-2-1-22-1-1-11122-2-2−1−i3−1+i3−1−i3−1+i300-2-1211-1-1-1111+i321−i321+i31−i31+i321−i321+i31−i3−1−i3−1+i31+i321+i321−i321−i32−1−i32−1+i32-22−1−i32−1+i3211-1-11+i3−1−i32−1−i32−1−i31+i321+i321−i3−1+i32−1+i32−1+i31−i321−i3200000000000000
χ5322-2-1-22-1-1-11122-2-2−1+i3−1−i3−1+i3−1−i300-2-1211-1-1-1111−i321+i321−i31+i31−i321+i321−i31+i3−1+i3−1−i31−i321−i321+i321+i32−1+i32−1−i322-2−1+i32−1−i32-1-111−1+i31−i321−i321−i3−1+i32−1+i32−1−i31+i321+i321+i3−1−i32−1−i3200000000000000
χ5422-2-1-22-1-1-11122-2-2−1+i3−1−i3−1+i3−1−i300-2-1211-1-1-1111−i321+i321−i31+i31−i321+i321−i31+i3−1+i3−1−i31−i321−i321+i321+i32−1+i32−1−i32-22−1+i32−1−i3211-1-11−i3−1+i32−1+i32−1+i31−i321−i321+i3−1−i32−1−i32−1−i31+i321+i3200000000000000
χ554-40400-400004-40044-4-40004000-400004400-4-400000000000000000000000000000000000000000000
χ564-40400-400004-400−2−2i3−2+2i32+2i32−2i30004000-40000−2−2i3−2+2i3002+2i32−2i300000000000000000000000000000000000000000000
χ574-40400-400004-400−2+2i3−2−2i32−2i32+2i30004000-40000−2+2i3−2−2i3002−2i32+2i300000000000000000000000000000000000000000000
χ584-40-200223−23004-40044-4-4000-2000223−2300-2-20022000023−2323−23000000000000000000000000000000000000
χ594-40-200223−23004-400−2−2i3−2+2i32+2i32−2i3000-2000223−23001+i31−i300−1−i3−1+i300002ζ11+4ζ19+2ζ23+4ζ31+4ζ43+2ζ47+4ζ55+2ζ59+4ζ67+2ζ71+4ζ79+2ζ83−2ζ11−4ζ19−2ζ23−4ζ31−4ζ43−2ζ47−4ζ55−2ζ59−4ζ67−2ζ71−4ζ79−2ζ83−4ζ11−2ζ19−4ζ23−2ζ31−2ζ43−4ζ47−2ζ55−4ζ59−2ζ67−4ζ71−2ζ79−4ζ834ζ11+2ζ19+4ζ23+2ζ31+2ζ43+4ζ47+2ζ55+4ζ59+2ζ67+4ζ71+2ζ79+4ζ83000000000000000000000000000000000000
χ604-40-200223−23004-400−2+2i3−2−2i32−2i32+2i3000-2000223−23001−i31+i300−1+i3−1−i30000−4ζ11−2ζ19−4ζ23−2ζ31−2ζ43−4ζ47−2ζ55−4ζ59−2ζ67−4ζ71−2ζ79−4ζ834ζ11+2ζ19+4ζ23+2ζ31+2ζ43+4ζ47+2ζ55+4ζ59+2ζ67+4ζ71+2ζ79+4ζ832ζ11+4ζ19+2ζ23+4ζ31+4ζ43+2ζ47+4ζ55+2ζ59+4ζ67+2ζ71+4ζ79+2ζ83−2ζ11−4ζ19−2ζ23−4ζ31−4ζ43−2ζ47−4ζ55−2ζ59−4ζ67−2ζ71−4ζ79−2ζ83000000000000000000000000000000000000
χ614-40-2002−2323004-40044-4-4000-20002−232300-2-200220000−2323−2323000000000000000000000000000000000000
χ624-40-2002−2323004-400−2−2i3−2+2i32+2i32−2i3000-20002−2323001+i31−i300−1−i3−1+i30000−2ζ11−4ζ19−2ζ23−4ζ31−4ζ43−2ζ47−4ζ55−2ζ59−4ζ67−2ζ71−4ζ79−2ζ832ζ11+4ζ19+2ζ23+4ζ31+4ζ43+2ζ47+4ζ55+2ζ59+4ζ67+2ζ71+4ζ79+2ζ834ζ11+2ζ19+4ζ23+2ζ31+2ζ43+4ζ47+2ζ55+4ζ59+2ζ67+4ζ71+2ζ79+4ζ83−4ζ11−2ζ19−4ζ23−2ζ31−2ζ43−4ζ47−2ζ55−4ζ59−2ζ67−4ζ71−2ζ79−4ζ83000000000000000000000000000000000000
χ634-40-2002−2323004-400−2+2i3−2−2i32−2i32+2i3000-20002−2323001−i31+i300−1+i3−1−i300004ζ11+2ζ19+4ζ23+2ζ31+2ζ43+4ζ47+2ζ55+4ζ59+2ζ67+4ζ71+2ζ79+4ζ83−4ζ11−2ζ19−4ζ23−2ζ31−2ζ43−4ζ47−2ζ55−4ζ59−2ζ67−4ζ71−2ζ79−4ζ83−2ζ11−4ζ19−2ζ23−4ζ31−4ζ43−2ζ47−4ζ55−2ζ59−4ζ67−2ζ71−4ζ79−2ζ832ζ11+4ζ19+2ζ23+4ζ31+4ζ43+2ζ47+4ζ55+2ζ59+4ζ67+2ζ71+4ζ79+2ζ83000000000000000000000000000000000000
χ6466666666666-1-1-1-1000066-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000-1-1-1-10000000000
χ6566666666666-1-1-1-10000-6-6-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000011110000000000
χ666666-6-66-6-66-6-1-111000000-1-11-1-1-11111000000000000000000000000000000000000−i7i7−i7i70000000000
χ676666-6-66-6-66-6-1-111000000-1-11-1-1-11111000000000000000000000000000000000000i7−i7i7−i70000000000
χ6866-666-66-6-6-66-1-1-1-10000001-1111-111-1-1000000000000000000000000000000000000−i7i7i7−i70000000000
χ6966-666-66-6-6-66-1-1-1-10000001-1111-111-1-1000000000000000000000000000000000000i7−i7−i7i70000000000
χ7066-66-66666-6-6-1-11100006-61-1-111-1-1-111000000000000000000000000000000000000-1-1110000000000
χ7166-66-66666-6-6-1-1110000-661-1-111-1-1-11100000000000000000000000000000000000011-1-10000000000
χ72121212-61212-6-6-6-6-6-2-2-2-2000000-21-2111111100000000000000000000000000000000000000000000000000
χ73121212-6-12-12-666-66-2-222000000-212111-1-1-1-100000000000000000000000000000000000000000000000000
χ741212-12-612-12-6666-6-2-2-2-2000000212-1-11-1-11100000000000000000000000000000000000000000000000000
χ751212-12-6-1212-6-6-666-2-22200000021-2-1-1111-1-100000000000000000000000000000000000000000000000000
χ7612-1201200-120000-2227−270000000-200020027−2700000000000000000000000000000000000000000000000000
χ7712-1201200-120000-22−27270000000-2000200−272700000000000000000000000000000000000000000000000000
χ7812-120-600663−6300-2227−27000000010−2121-1−33−7700000000000000000000000000000000000000000000000000
χ7912-120-600663−6300-22−272700000001021−21-1−337−700000000000000000000000000000000000000000000000000
χ8012-120-6006−636300-2227−2700000001021−21-13−3−7700000000000000000000000000000000000000000000000000
χ8112-120-6006−636300-22−2727000000010−2121-13−37−700000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.