Finite Group Databasebeta

← Group #494191

Character table — Group #494191

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444416161616161616161616161616161616
order122244442244444444448888888888888888888888882244444444444444444444448888888888888888888816161616161616161616161616161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ61111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ71111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ81111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ911111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-111-1-111-1-1
χ1011111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-111-1-111
χ1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111-1-111
χ1211111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111ii−i−i−i−iii−i−iiiii−i−i
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111−i−iiiii−i−iii−i−i−i−iii
χ171111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-1
χ181111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11
χ191111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-11-1-11-11-11-11
χ201111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-11-111-11-11-11-1
χ211111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111i−ii−i−ii−iii−ii−i−ii−ii
χ221111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111−ii−iii−ii−i−ii−iii−ii−i
χ231111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1i−ii−i−ii−ii−ii−iii−ii−i
χ241111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1−ii−iii−ii−ii−ii−i−ii−ii
χ251111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-111-1-111-1-111-1-11
χ261111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-111-1-111-1-111-1
χ271111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-11-111-1-111-1
χ281111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-11-1-111-1-11
χ291111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111i−i−ii−iii−ii−i−ii−iii−i
χ301111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111−iii−ii−i−ii−iii−ii−i−ii
χ311111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1i−i−ii−iii−i−iii−ii−i−ii
χ321111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1−iii−ii−i−iii−i−ii−iii−i
χ3322222222-2-200000000-2-22222-2-2-2-222-2-20000000022-2-20022-2-200000000002i2i−2i−2i2i2i−2i−2i0000000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ3422222222-2-200000000-2-22222-2-2-2-222-2-20000000022-2-20022-2-20000000000−2i−2i2i2i−2i−2i2i2i000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ3522222222-2-200000000-2-22222-2-2-2-2-2-22200000000-2-22200-2-22200000000002i2i−2i−2i−2i−2i2i2i0000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ3622222222-2-200000000-2-22222-2-2-2-2-2-22200000000-2-22200-2-2220000000000−2i−2i2i2i2i2i−2i−2i000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ3722222222-2-200000000-2-2-2-2-2-2222222-2-20000000022-2-200-2-22200000000002i2i−2i−2i−2i−2i2i2i000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ3822222222-2-200000000-2-2-2-2-2-2222222-2-20000000022-2-200-2-2220000000000−2i−2i2i2i2i2i−2i−2i0000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ3922222222-2-200000000-2-2-2-2-2-22222-2-22200000000-2-2220022-2-200000000002i2i−2i−2i2i2i−2i−2i000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ4022222222-2-200000000-2-2-2-2-2-22222-2-22200000000-2-2220022-2-20000000000−2i−2i2i2i−2i−2i2i2i0000000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ412222-2-2-2-22200000000-2-22i2i−2i−2i2i2i−2i−2i2i−2i2i−2i000000002i−2i2i−2i222-22-2-2-222-2-20000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ422222-2-2-2-22200000000-2-22i2i−2i−2i2i2i−2i−2i2i−2i2i−2i000000002i−2i2i−2i-2-22-22-222-2-222000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ432222-2-2-2-22200000000-2-22i2i−2i−2i2i2i−2i−2i−2i2i−2i2i00000000−2i2i−2i2i22-22-22-2-2-2-2220000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ442222-2-2-2-22200000000-2-22i2i−2i−2i2i2i−2i−2i−2i2i−2i2i00000000−2i2i−2i2i-2-2-22-222222-2-2000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ452222-2-2-2-22200000000-2-2−2i−2i2i2i−2i−2i2i2i2i−2i2i−2i000000002i−2i2i−2i22-22-22-2-2-2-222000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ462222-2-2-2-22200000000-2-2−2i−2i2i2i−2i−2i2i2i2i−2i2i−2i000000002i−2i2i−2i-2-2-22-222222-2-20000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ472222-2-2-2-22200000000-2-2−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i00000000−2i2i−2i2i222-22-2-2-222-2-2000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ482222-2-2-2-22200000000-2-2−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i00000000−2i2i−2i2i-2-22-22-222-2-2220000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ492222-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i222i2i−2i−2i−2i−2i2i2i2i−2i−2i2i2222-2-2-2-22i−2i−2i2i002-2-220000002i2i−2i−2i000000000000000022-2-2000000000000000000000000
χ502222-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i222i2i−2i−2i−2i−2i2i2i−2i2i2i−2i2222-2-2-2-2−2i2i2i−2i00-222-2000000−2i−2i2i2i0000000000000000-2-222000000000000000000000000
χ512222-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i22−2i−2i2i2i2i2i−2i−2i2i−2i−2i2i-2-2-2-222222i−2i−2i2i00-222-2000000−2i−2i2i2i000000000000000022-2-2000000000000000000000000
χ522222-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i22−2i−2i2i2i2i2i−2i−2i−2i2i2i−2i-2-2-2-22222−2i2i2i−2i002-2-220000002i2i−2i−2i0000000000000000-2-222000000000000000000000000
χ532222-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i222i2i−2i−2i−2i−2i2i2i2i−2i−2i2i-2-2-2-222222i−2i−2i2i002-2-22000000−2i−2i2i2i0000000000000000-2-222000000000000000000000000
χ542222-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i222i2i−2i−2i−2i−2i2i2i−2i2i2i−2i-2-2-2-22222−2i2i2i−2i00-222-20000002i2i−2i−2i000000000000000022-2-2000000000000000000000000
χ552222-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i22−2i−2i2i2i2i2i−2i−2i2i−2i−2i2i2222-2-2-2-22i−2i−2i2i00-222-20000002i2i−2i−2i0000000000000000-2-222000000000000000000000000
χ562222-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i22−2i−2i2i2i2i2i−2i−2i−2i2i2i−2i2222-2-2-2-2−2i2i2i−2i002-2-22000000−2i−2i2i2i000000000000000022-2-2000000000000000000000000
χ5722-2-222-2-22-2000000002-2000000002i−2i−2i2i22-2-222-2-2−2i2i2i−2i000000002i−2i2i−2i2i−2i2i−2i2-22-200002-22-20000000000002i−2i2i−2i0000000000000000
χ5822-2-222-2-22-2000000002-2000000002i−2i−2i2i22-2-222-2-2−2i2i2i−2i00000000−2i2i−2i2i2i−2i2i−2i-22-220000-22-22000000000000−2i2i−2i2i0000000000000000
χ5922-2-222-2-22-2000000002-2000000002i−2i−2i2i-2-222-2-222−2i2i2i−2i000000002i−2i2i−2i−2i2i−2i2i-22-2200002-22-2000000000000−2i2i−2i2i0000000000000000
χ6022-2-222-2-22-2000000002-2000000002i−2i−2i2i-2-222-2-222−2i2i2i−2i00000000−2i2i−2i2i−2i2i−2i2i2-22-20000-22-220000000000002i−2i2i−2i0000000000000000
χ6122-2-222-2-22-2000000002-200000000−2i2i2i−2i22-2-222-2-22i−2i−2i2i000000002i−2i2i−2i−2i2i−2i2i-22-220000-22-220000000000002i−2i2i−2i0000000000000000
χ6222-2-222-2-22-2000000002-200000000−2i2i2i−2i22-2-222-2-22i−2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i2-22-200002-22-2000000000000−2i2i−2i2i0000000000000000
χ6322-2-222-2-22-2000000002-200000000−2i2i2i−2i-2-222-2-2222i−2i−2i2i000000002i−2i2i−2i2i−2i2i−2i2-22-20000-22-22000000000000−2i2i−2i2i0000000000000000
χ6422-2-222-2-22-2000000002-200000000−2i2i2i−2i-2-222-2-2222i−2i−2i2i00000000−2i2i−2i2i2i−2i2i−2i-22-2200002-22-20000000000002i−2i2i−2i0000000000000000
χ6522-2-222-2-2-222i2i−2i−2i2i2i−2i−2i-22000000002i−2i2i−2i00000000−2i2i−2i2i2-200002-2000000002i−2i−2i2i000000002i−2i2i−2i2-22-20000-222-20000000000000000
χ6622-2-222-2-2-222i2i−2i−2i2i2i−2i−2i-22000000002i−2i2i−2i00000000−2i2i−2i2i-220000-2200000000−2i2i2i−2i00000000−2i2i−2i2i2-22-200002-2-220000000000000000
χ6722-2-222-2-2-222i2i−2i−2i2i2i−2i−2i-2200000000−2i2i−2i2i000000002i−2i2i−2i2-200002-2000000002i−2i−2i2i00000000−2i2i−2i2i-22-2200002-2-220000000000000000
χ6822-2-222-2-2-222i2i−2i−2i2i2i−2i−2i-2200000000−2i2i−2i2i000000002i−2i2i−2i-220000-2200000000−2i2i2i−2i000000002i−2i2i−2i-22-220000-222-20000000000000000
χ6922-2-222-2-2-22−2i−2i2i2i−2i−2i2i2i-22000000002i−2i2i−2i00000000−2i2i−2i2i2-200002-200000000−2i2i2i−2i000000002i−2i2i−2i-22-2200002-2-220000000000000000
χ7022-2-222-2-2-22−2i−2i2i2i−2i−2i2i2i-22000000002i−2i2i−2i00000000−2i2i−2i2i-220000-22000000002i−2i−2i2i00000000−2i2i−2i2i-22-220000-222-20000000000000000
χ7122-2-222-2-2-22−2i−2i2i2i−2i−2i2i2i-2200000000−2i2i−2i2i000000002i−2i2i−2i2-200002-200000000−2i2i2i−2i00000000−2i2i−2i2i2-22-20000-222-20000000000000000
χ7222-2-222-2-2-22−2i−2i2i2i−2i−2i2i2i-2200000000−2i2i−2i2i000000002i−2i2i−2i-220000-22000000002i−2i−2i2i000000002i−2i2i−2i2-22-200002-2-220000000000000000
χ7322-2-2-2-2222-222-2-2-2-222-220000000022-2-200000000-2-222000000002i−2i−2i2i000000002i−2i2i−2i−2i2i2i−2i00002-2-222i−2i2i−2i00000000000000000000
χ7422-2-2-2-2222-222-2-2-2-222-220000000022-2-200000000-2-22200000000−2i2i2i−2i00000000−2i2i−2i2i2i−2i−2i2i00002-2-22−2i2i−2i2i00000000000000000000
χ7522-2-2-2-2222-222-2-2-2-222-2200000000-2-2220000000022-2-2000000002i−2i−2i2i000000002i−2i2i−2i2i−2i−2i2i0000-222-2−2i2i−2i2i00000000000000000000
χ7622-2-2-2-2222-222-2-2-2-222-2200000000-2-2220000000022-2-200000000−2i2i2i−2i00000000−2i2i−2i2i−2i2i2i−2i0000-222-22i−2i2i−2i00000000000000000000
χ7722-2-2-2-2222-2-2-22222-2-2-220000000022-2-200000000-2-222000000002i−2i−2i2i00000000−2i2i−2i2i−2i2i2i−2i0000-222-2−2i2i−2i2i00000000000000000000
χ7822-2-2-2-2222-2-2-22222-2-2-220000000022-2-200000000-2-22200000000−2i2i2i−2i000000002i−2i2i−2i2i−2i−2i2i0000-222-22i−2i2i−2i00000000000000000000
χ7922-2-2-2-2222-2-2-22222-2-2-2200000000-2-2220000000022-2-2000000002i−2i−2i2i00000000−2i2i−2i2i2i−2i−2i2i00002-2-222i−2i2i−2i00000000000000000000
χ8022-2-2-2-2222-2-2-22222-2-2-2200000000-2-2220000000022-2-200000000−2i2i2i−2i000000002i−2i2i−2i−2i2i2i−2i00002-2-22−2i2i−2i2i00000000000000000000
χ8122-2-2-2-222-22000000002-200000000222222-2-2-2-222-2-2-2-22-20000-2200002-2-2200002-2-2200002-2-2200002-2-2200000000000000000000
χ8222-2-2-2-222-22000000002-200000000222222-2-2-2-222-2-2-2-2-2200002-200002-2-220000-222-20000-222-20000-222-200000000000000000000
χ8322-2-2-2-222-22000000002-2000000002222-2-22222-2-2-2-2-2-22-20000-220000-222-20000-222-200002-2-220000-222-200000000000000000000
χ8422-2-2-2-222-22000000002-2000000002222-2-22222-2-2-2-2-2-2-2200002-20000-222-200002-2-220000-222-200002-2-2200000000000000000000
χ8522-2-2-2-222-22000000002-200000000-2-2-2-222-2-2-2-22222222-20000-220000-222-20000-222-20000-222-200002-2-2200000000000000000000
χ8622-2-2-2-222-22000000002-200000000-2-2-2-222-2-2-2-2222222-2200002-20000-222-200002-2-2200002-2-220000-222-200000000000000000000
χ8722-2-2-2-222-22000000002-200000000-2-2-2-2-2-22222-2-222222-20000-2200002-2-2200002-2-220000-222-20000-222-200000000000000000000
χ8822-2-2-2-222-22000000002-200000000-2-2-2-2-2-22222-2-22222-2200002-200002-2-220000-222-200002-2-2200002-2-2200000000000000000000
χ894-44-44i−4i4i−4i002+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i0000004ζ−4ζ4ζ3−4ζ300002i2−2i22i2−2i222−2222−220000000000000000000000000000000000000000000000000000000000000000
χ904-44-44i−4i4i−4i002+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i000000−4ζ4ζ−4ζ34ζ30000−2i22i2−2i22i2−2222−22220000000000000000000000000000000000000000000000000000000000000000
χ914-44-44i−4i4i−4i00−2−2i2+2i−2−2i2+2i−2+2i2−2i−2+2i2−2i0000004ζ−4ζ4ζ3−4ζ30000−2i22i2−2i22i2−2222−22220000000000000000000000000000000000000000000000000000000000000000
χ924-44-44i−4i4i−4i00−2−2i2+2i−2−2i2+2i−2+2i2−2i−2+2i2−2i000000−4ζ4ζ−4ζ34ζ300002i2−2i22i2−2i222−2222−220000000000000000000000000000000000000000000000000000000000000000
χ934-44-4−4i4i−4i4i002−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i0000004ζ3−4ζ34ζ−4ζ00002i2−2i22i2−2i2−2222−22220000000000000000000000000000000000000000000000000000000000000000
χ944-44-4−4i4i−4i4i002−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i000000−4ζ34ζ3−4ζ4ζ0000−2i22i2−2i22i222−2222−220000000000000000000000000000000000000000000000000000000000000000
χ954-44-4−4i4i−4i4i00−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i0000004ζ3−4ζ34ζ−4ζ0000−2i22i2−2i22i222−2222−220000000000000000000000000000000000000000000000000000000000000000
χ964-44-4−4i4i−4i4i00−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i000000−4ζ34ζ3−4ζ4ζ00002i2−2i22i2−2i2−2222−22220000000000000000000000000000000000000000000000000000000000000000
χ974-4-444i−4i−4i4i002−2i−2+2i−2+2i2−2i−2−2i2+2i2+2i−2−2i004ζ−4ζ4ζ3−4ζ3000000002i2−2i2−2i22i222−22−22220000000000000000000000000000000000000000000000000000000000000000
χ984-4-444i−4i−4i4i002−2i−2+2i−2+2i2−2i−2−2i2+2i2+2i−2−2i00−4ζ4ζ−4ζ34ζ300000000−2i22i22i2−2i2−222222−220000000000000000000000000000000000000000000000000000000000000000
χ994-4-444i−4i−4i4i00−2+2i2−2i2−2i−2+2i2+2i−2−2i−2−2i2+2i004ζ−4ζ4ζ3−4ζ300000000−2i22i22i2−2i2−222222−220000000000000000000000000000000000000000000000000000000000000000
χ1004-4-444i−4i−4i4i00−2+2i2−2i2−2i−2+2i2+2i−2−2i−2−2i2+2i00−4ζ4ζ−4ζ34ζ3000000002i2−2i2−2i22i222−22−22220000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44−4i4i4i−4i002+2i−2−2i−2−2i2+2i−2+2i2−2i2−2i−2+2i004ζ3−4ζ34ζ−4ζ000000002i2−2i2−2i22i2−222222−220000000000000000000000000000000000000000000000000000000000000000
χ1024-4-44−4i4i4i−4i002+2i−2−2i−2−2i2+2i−2+2i2−2i2−2i−2+2i00−4ζ34ζ3−4ζ4ζ00000000−2i22i22i2−2i222−22−22220000000000000000000000000000000000000000000000000000000000000000
χ1034-4-44−4i4i4i−4i00−2−2i2+2i2+2i−2−2i2−2i−2+2i−2+2i2−2i004ζ3−4ζ34ζ−4ζ00000000−2i22i22i2−2i222−22−22220000000000000000000000000000000000000000000000000000000000000000
χ1044-4-44−4i4i4i−4i00−2−2i2+2i2+2i−2−2i2−2i−2+2i−2+2i2−2i00−4ζ34ζ3−4ζ4ζ000000002i2−2i2−2i22i2−222222−220000000000000000000000000000000000000000000000000000000000000000

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