Finite Group Databasebeta

← Group #210596

Character table — Group #210596

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111112222222222222222222222224444444444444444888888888888888888888888888888888888888888888888
order12222222444444444444444488888888888888888888888888888888222244444444444444448888888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111
χ9111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ12111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1711111111-1-1-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11111-11-111-1-111-1-1-1-1-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i11-1-1ii−i−i
χ1811111111-1-1-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-11-11-1-111-1-111-1-1-1-1−ii−ii−i−iiiii−i−iii−i−i−i−iii-1-111−i−iii
χ1911111111-1-1-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-1-1-11-11-1-1-111-1-1111111i−ii−i−i−iii−i−iii−i−iii−i−iii11-1-1ii−i−i
χ2011111111-1-1-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-1-1-1-11-1111-1-111-1-11111−ii−iiii−i−i−i−iii−i−iiiii−i−i-1-111−i−iii
χ2111111111-1-1-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii11-1-11-11-111-1-1-1-111-1-111i−ii−iii−i−iii−i−i−i−iii−i−iii-1-111−i−iii
χ2211111111-1-1-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii11-1-1-11-11-1-11111-1-1-1-111−ii−ii−i−iiiii−i−i−i−iiiii−i−i11-1-1ii−i−i
χ2311111111-1-1-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-1111-11-1-1-11111-1-111-1-1i−ii−i−i−iii−i−iiiii−i−iii−i−i-1-111−i−iii
χ2411111111-1-1-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111-11-1111-1-1-1-11111-1-1−ii−iiii−i−i−i−iiiii−i−i−i−iii11-1-1ii−i−i
χ2511111111-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11111-11-111-1-111-1-1-1-1-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-1−i−iii
χ2611111111-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-11-11-1-111-1-111-1-1-1-1i−ii−iii−i−i−i−iii−i−iiiii−i−i-1-111ii−i−i
χ2711111111-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-1-1-11-11-1-1-111-1-1111111−ii−iiii−i−iii−i−iii−i−iii−i−i11-1-1−i−iii
χ2811111111-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-1-1-1-11-1111-1-111-1-11111i−ii−i−i−iiiii−i−iii−i−i−i−iii-1-111ii−i−i
χ2911111111-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i11-1-11-11-111-1-1-1-111-1-111−ii−ii−i−iii−i−iiiii−i−iii−i−i-1-111ii−i−i
χ3011111111-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i11-1-1-11-11-1-11111-1-1-1-111i−ii−iii−i−i−i−iiiii−i−i−i−iii11-1-1−i−iii
χ3111111111-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-1111-11-1-1-11111-1-111-1-1−ii−iiii−i−iii−i−i−i−iii−i−iii-1-111ii−i−i
χ3211111111-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-111-11-1111-1-1-1-11111-1-1i−ii−i−i−iiiii−i−i−i−iiiii−i−i11-1-1−i−iii
χ332222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000022-2-2000000000000-2-222000000000000000000000000
χ342222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000-2-22200000000000022-2-2000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000022-2-200000000000022-2-2000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000-2-222000000000000-2-222000000000000000000000000
χ3722222222-2-2-2-2-2-2-2-2-2-222-2-2222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i000000000000000000002-2-22000000000000−2i2i2i−2i000000000000000000000000
χ3822222222-2-2-2-2-2-2-2-2-2-222-2-2222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000-222-20000000000002i−2i−2i2i000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-222-2-222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i000000000000000000002-2-220000000000002i−2i−2i2i000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-222-2-222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000-222-2000000000000−2i2i2i−2i000000000000000000000000
χ4122-222-2-2-22i2i−2i−2i2i−2i2i−2i2-22i−2i2-22i−2i2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ30000000000000000002-2000000000000002i−2i0000000000002ζ−2ζ2ζ3−2ζ3000000000000
χ4222-222-2-2-22i2i−2i−2i2i−2i2i−2i2-22i−2i2-22i−2i2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ3000000000000000000-2200000000000000−2i2i000000000000−2ζ2ζ−2ζ32ζ3000000000000
χ4322-222-2-2-22i2i−2i−2i2i−2i2i−2i2-22i−2i2-22i−2i−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ30000000000000000002-2000000000000002i−2i000000000000−2ζ2ζ−2ζ32ζ3000000000000
χ4422-222-2-2-22i2i−2i−2i2i−2i2i−2i2-22i−2i2-22i−2i−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3000000000000000000-2200000000000000−2i2i0000000000002ζ−2ζ2ζ3−2ζ3000000000000
χ4522-222-2-2-22i2i−2i−2i2i−2i2i−2i-22−2i2i-22−2i2i2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ3−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ300000000000000000000000000002-22i−2i000000000000000000002ζ−2ζ2ζ3−2ζ300000000
χ4622-222-2-2-22i2i−2i−2i2i−2i2i−2i-22−2i2i-22−2i2i2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ3−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ30000000000000000000000000000-22−2i2i00000000000000000000−2ζ2ζ−2ζ32ζ300000000
χ4722-222-2-2-22i2i−2i−2i2i−2i2i−2i-22−2i2i-22−2i2i−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ32ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ300000000000000000000000000002-22i−2i00000000000000000000−2ζ2ζ−2ζ32ζ300000000
χ4822-222-2-2-22i2i−2i−2i2i−2i2i−2i-22−2i2i-22−2i2i−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ32ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ30000000000000000000000000000-22−2i2i000000000000000000002ζ−2ζ2ζ3−2ζ300000000
χ4922-222-2-2-2−2i−2i2i2i−2i2i−2i2i2-2−2i2i2-2−2i2i2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ0000000000000000002-200000000000000−2i2i0000000000002ζ3−2ζ32ζ−2ζ000000000000
χ5022-222-2-2-2−2i−2i2i2i−2i2i−2i2i2-2−2i2i2-2−2i2i2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ000000000000000000-22000000000000002i−2i000000000000−2ζ32ζ3−2ζ2ζ000000000000
χ5122-222-2-2-2−2i−2i2i2i−2i2i−2i2i2-2−2i2i2-2−2i2i−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ0000000000000000002-200000000000000−2i2i000000000000−2ζ32ζ3−2ζ2ζ000000000000
χ5222-222-2-2-2−2i−2i2i2i−2i2i−2i2i2-2−2i2i2-2−2i2i−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ000000000000000000-22000000000000002i−2i0000000000002ζ3−2ζ32ζ−2ζ000000000000
χ5322-222-2-2-2−2i−2i2i2i−2i2i−2i2i-222i−2i-222i−2i2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ00000000000000000000000000002-2−2i2i000000000000000000002ζ3−2ζ32ζ−2ζ00000000
χ5422-222-2-2-2−2i−2i2i2i−2i2i−2i2i-222i−2i-222i−2i2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ0000000000000000000000000000-222i−2i00000000000000000000−2ζ32ζ3−2ζ2ζ00000000
χ5522-222-2-2-2−2i−2i2i2i−2i2i−2i2i-222i−2i-222i−2i−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ00000000000000000000000000002-2−2i2i00000000000000000000−2ζ32ζ3−2ζ2ζ00000000
χ5622-222-2-2-2−2i−2i2i2i−2i2i−2i2i-222i−2i-222i−2i−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ0000000000000000000000000000-222i−2i000000000000000000002ζ3−2ζ32ζ−2ζ00000000
χ572-222-22-2-22i−2i2i−2i2i−2i−2i2i2-2−2i2i-222i−2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ000000000000000000000000000000000000000000000000000000002-22i−2i2ζ3−2ζ32ζ−2ζ
χ582-222-22-2-22i−2i2i−2i2i−2i−2i2i2-2−2i2i-222i−2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ00000000000000000000000000000000000000000000000000000000-22−2i2i−2ζ32ζ3−2ζ2ζ
χ592-222-22-2-22i−2i2i−2i2i−2i−2i2i2-2−2i2i-222i−2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ000000000000000000000000000000000000000000000000000000002-22i−2i−2ζ32ζ3−2ζ2ζ
χ602-222-22-2-22i−2i2i−2i2i−2i−2i2i2-2−2i2i-222i−2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00000000000000000000000000000000000000000000000000000000-22−2i2i2ζ3−2ζ32ζ−2ζ
χ612-222-22-2-22i−2i2i−2i2i−2i−2i2i-222i−2i2-2−2i2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ22-2-22i2i−2i−2i2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ000000000000000000000000000000000000000000000000
χ622-222-22-2-22i−2i2i−2i2i−2i−2i2i-222i−2i2-2−2i2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ-2-222−2i−2i2i2i−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ000000000000000000000000000000000000000000000000
χ632-222-22-2-22i−2i2i−2i2i−2i−2i2i-222i−2i2-2−2i2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ22-2-22i2i−2i−2i−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ000000000000000000000000000000000000000000000000
χ642-222-22-2-22i−2i2i−2i2i−2i−2i2i-222i−2i2-2−2i2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ-2-222−2i−2i2i2i2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ000000000000000000000000000000000000000000000000
χ652-222-22-2-2−2i2i−2i2i−2i2i2i−2i2-22i−2i-22−2i2i2ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3000000000000000000000000000000000000000000000000000000002-2−2i2i2ζ−2ζ2ζ3−2ζ3
χ662-222-22-2-2−2i2i−2i2i−2i2i2i−2i2-22i−2i-22−2i2i2ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ300000000000000000000000000000000000000000000000000000000-222i−2i−2ζ2ζ−2ζ32ζ3
χ672-222-22-2-2−2i2i−2i2i−2i2i2i−2i2-22i−2i-22−2i2i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3000000000000000000000000000000000000000000000000000000002-2−2i2i−2ζ2ζ−2ζ32ζ3
χ682-222-22-2-2−2i2i−2i2i−2i2i2i−2i2-22i−2i-22−2i2i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ300000000000000000000000000000000000000000000000000000000-222i−2i2ζ−2ζ2ζ3−2ζ3
χ692-222-22-2-2−2i2i−2i2i−2i2i2i−2i-22−2i2i2-22i−2i2ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ322-2-2−2i−2i2i2i2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ3000000000000000000000000000000000000000000000000
χ702-222-22-2-2−2i2i−2i2i−2i2i2i−2i-22−2i2i2-22i−2i2ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3-2-2222i2i−2i−2i−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3000000000000000000000000000000000000000000000000
χ712-222-22-2-2−2i2i−2i2i−2i2i2i−2i-22−2i2i2-22i−2i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ322-2-2−2i−2i2i2i−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3000000000000000000000000000000000000000000000000
χ722-222-22-2-2−2i2i−2i2i−2i2i2i−2i-22−2i2i2-22i−2i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3-2-2222i2i−2i−2i2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ3000000000000000000000000000000000000000000000000
χ732-2-22-2-2222-2-2222-2-222-2-2-2-2222i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i0000000000000000000000002i−2i2i−2i0000000000002-22-200000000000000000000
χ742-2-22-2-2222-2-2222-2-222-2-2-2-2222i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000−2i2i−2i2i000000000000-22-2200000000000000000000
χ752-2-22-2-2222-2-2222-2-222-2-2-2-222−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i0000000000000000000000002i−2i2i−2i000000000000-22-2200000000000000000000
χ762-2-22-2-2222-2-2222-2-222-2-2-2-222−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000−2i2i−2i2i0000000000002-22-200000000000000000000
χ772-2-22-2-2222-2-2222-2-2-2-22222-2-22i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i00000000000000002-2000000000000002-200000000002i−2i2i−2i0000000000000000
χ782-2-22-2-2222-2-2222-2-2-2-22222-2-22i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i0000000000000000-2200000000000000-220000000000−2i2i−2i2i0000000000000000
χ792-2-22-2-2222-2-2222-2-2-2-22222-2-2−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i00000000000000002-2000000000000002-20000000000−2i2i−2i2i0000000000000000
χ802-2-22-2-2222-2-2222-2-2-2-22222-2-2−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i0000000000000000-2200000000000000-2200000000002i−2i2i−2i0000000000000000
χ812-2-22-2-222-222-2-2-2222222-2-2-2-22-2-222-2-222-2-222-2-220000000000000000000000002i−2i−2i2i000000000000−2i2i2i−2i00000000000000000000
χ822-2-22-2-222-222-2-2-2222222-2-2-2-22-2-222-2-222-2-222-2-22000000000000000000000000−2i2i2i−2i0000000000002i−2i−2i2i00000000000000000000
χ832-2-22-2-222-222-2-2-2222222-2-2-2-2-222-2-222-2-222-2-222-20000000000000000000000002i−2i−2i2i0000000000002i−2i−2i2i00000000000000000000
χ842-2-22-2-222-222-2-2-2222222-2-2-2-2-222-2-222-2-222-2-222-2000000000000000000000000−2i2i2i−2i000000000000−2i2i2i−2i00000000000000000000
χ852-2-22-2-222-222-2-2-222-2-2-2-222222-2-222-2-22-222-2-222-200000000000000002-200000000000000-2200000000002-2-220000000000000000
χ862-2-22-2-222-222-2-2-222-2-2-2-222222-2-222-2-22-222-2-222-20000000000000000-22000000000000002-20000000000-222-20000000000000000
χ872-2-22-2-222-222-2-2-222-2-2-2-22222-222-2-222-22-2-222-2-2200000000000000002-200000000000000-220000000000-222-20000000000000000
χ882-2-22-2-222-222-2-2-222-2-2-2-22222-222-2-222-22-2-222-2-220000000000000000-22000000000000002-200000000002-2-220000000000000000
χ89444-4-4-4-444444-4-4-4-400000000000000000000000022−2222−2222−2222−2200000000000000000000000000000000000000000000000000000000
χ90444-4-4-4-444444-4-4-4-4000000000000000000000000−2222−2222−2222−222200000000000000000000000000000000000000000000000000000000
χ91444-4-4-4-44-4-4-4-4444400000000000000000000000022−2222−22−2222−222200000000000000000000000000000000000000000000000000000000
χ92444-4-4-4-44-4-4-4-44444000000000000000000000000−2222−222222−2222−2200000000000000000000000000000000000000000000000000000000
χ9344-4-4-444-44i4i−4i−4i−4i4i−4i4i000000000000000000000000000000002−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i000000000000000000000000000000000000000000000000
χ9444-4-4-444-44i4i−4i−4i−4i4i−4i4i00000000000000000000000000000000−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i000000000000000000000000000000000000000000000000
χ9544-4-4-444-4−4i−4i4i4i4i−4i4i−4i000000000000000000000000000000002+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i000000000000000000000000000000000000000000000000
χ9644-4-4-444-4−4i−4i4i4i4i−4i4i−4i00000000000000000000000000000000−2−2i2+2i−2−2i2+2i−2+2i2−2i−2+2i2−2i000000000000000000000000000000000000000000000000
χ974-44-44-44-44i−4i4i−4i−4i4i4i−4i00000000000000000000000022−22−22222i2−2i2−2i22i200000000000000000000000000000000000000000000000000000000
χ984-44-44-44-44i−4i4i−4i−4i4i4i−4i000000000000000000000000−222222−22−2i22i22i2−2i200000000000000000000000000000000000000000000000000000000
χ994-44-44-44-4−4i4i−4i4i4i−4i−4i4i00000000000000000000000022−22−2222−2i22i22i2−2i200000000000000000000000000000000000000000000000000000000
χ1004-44-44-44-4−4i4i−4i4i4i−4i−4i4i000000000000000000000000−222222−222i2−2i2−2i22i200000000000000000000000000000000000000000000000000000000
χ1014-4-4-444-444-4-44-4-4440000000000000000000000000000000022−22−2222−222222−22000000000000000000000000000000000000000000000000
χ1024-4-4-444-444-4-44-4-44400000000000000000000000000000000−222222−2222−22−2222000000000000000000000000000000000000000000000000
χ1034-4-4-444-44-444-444-4-4000000000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000000000000000
χ1044-4-4-444-44-444-444-4-400000000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.