Finite Group Databasebeta

← Group #392349

Character table — Group #392349

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444416161616161616161616161616161616
order12224444222222444444444444448888888888888888222244444444444444448888888888888888888888884444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ9111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111
χ10111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1
χ11111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1
χ12111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-111
χ13111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ14111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111
χ15111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ16111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ17111111111-1-1-1-11111111111-1-1-1-11111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1i−ii−ii−ii−ii−ii−ii−ii−i
χ18111111111-1-1-1-11111111111-1-1-1-11111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1−ii−ii−ii−ii−ii−ii−ii−ii
χ19111111111-1-1-1-11111111111-1-1-1-111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111i−ii−i−ii−iii−ii−i−ii−ii
χ20111111111-1-1-1-11111111111-1-1-1-111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−ii−iii−ii−i−ii−iii−ii−i
χ21111111111-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111i−i−iii−i−iii−i−iii−i−ii
χ22111111111-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111−iii−i−iii−i−iii−i−iii−i
χ23111111111-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1i−i−ii−iii−ii−i−ii−iii−i
χ24111111111-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1−iii−ii−i−ii−iii−ii−i−ii
χ25111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111i−i−iii−i−ii−iii−i−iii−i
χ26111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111−iii−i−iii−ii−i−iii−i−ii
χ27111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1i−i−ii−iii−i−iii−ii−i−ii
χ28111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−iii−ii−i−iii−i−ii−iii−i
χ29111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−ii−ii−i−ii−ii−ii−ii
χ30111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−ii−iii−ii−ii−ii−i
χ31111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111i−ii−i−ii−ii−ii−iii−ii−i
χ32111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111−ii−iii−ii−ii−ii−i−ii−ii
χ3322222222-222-2-2-2-20000000022-2-2-22222-2-2-2-2000000000000000000002i2i−2i−2i2i2i−2i−2i22-2-20000000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ3422222222-222-2-2-2-20000000022-2-2-22222-2-2-2-200000000000000000000−2i−2i2i2i−2i−2i2i2i22-2-2000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ3522222222-222-2-2-2-20000000022-2-2-2-2-2-2-22222000000000000000000002i2i−2i−2i2i2i−2i−2i-2-222000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ3622222222-222-2-2-2-20000000022-2-2-2-2-2-2-2222200000000000000000000−2i−2i2i2i−2i−2i2i2i-2-2220000000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ3722222222-2-2-222-2-200000000-2-222-22222-2-2-2-2000000000000000000002i2i−2i−2i−2i−2i2i2i-2-2220000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ3822222222-2-2-222-2-200000000-2-222-22222-2-2-2-200000000000000000000−2i−2i2i2i2i2i−2i−2i-2-222000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ3922222222-2-2-222-2-200000000-2-222-2-2-2-2-22222000000000000000000002i2i−2i−2i−2i−2i2i2i22-2-2000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ4022222222-2-2-222-2-200000000-2-222-2-2-2-2-2222200000000000000000000−2i−2i2i2i2i2i−2i−2i22-2-20000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ412222-2-2-2-2222222-200000000-2-2-2-2-22i2i−2i−2i2i2i−2i−2i0000000022-2-2-2-2220000000000002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ422222-2-2-2-2222222-200000000-2-2-2-2-22i2i−2i−2i2i2i−2i−2i00000000-2-22222-2-20000000000002i−2i2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ432222-2-2-2-2222222-200000000-2-2-2-2-2−2i−2i2i2i−2i−2i2i2i0000000022-2-2-2-222000000000000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ442222-2-2-2-2222222-200000000-2-2-2-2-2−2i−2i2i2i−2i−2i2i2i00000000-2-22222-2-2000000000000−2i2i−2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ452222-2-2-2-22-2-2-2-22-2000000002222-22i2i−2i−2i2i2i−2i−2i000000002222-2-2-2-2000000000000−2i2i−2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ462222-2-2-2-22-2-2-2-22-2000000002222-22i2i−2i−2i2i2i−2i−2i00000000-2-2-2-22222000000000000−2i2i−2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ472222-2-2-2-22-2-2-2-22-2000000002222-2−2i−2i2i2i−2i−2i2i2i000000002222-2-2-2-20000000000002i−2i2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ482222-2-2-2-22-2-2-2-22-2000000002222-2−2i−2i2i2i−2i−2i2i2i00000000-2-2-2-222220000000000002i−2i2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ492222-2-2-2-2-222-2-2-222i2i2i2i−2i−2i−2i−2i-2-22222i2i−2i−2i−2i−2i2i2i2222-2-2-2-2000000002i2i−2i−2i000000002i−2i−2i2i0000000022-2-2000000000000000000000000
χ502222-2-2-2-2-222-2-2-222i2i2i2i−2i−2i−2i−2i-2-2222−2i−2i2i2i2i2i−2i−2i-2-2-2-22222000000002i2i−2i−2i00000000−2i2i2i−2i00000000-2-222000000000000000000000000
χ512222-2-2-2-2-222-2-2-22−2i−2i−2i−2i2i2i2i2i-2-22222i2i−2i−2i−2i−2i2i2i-2-2-2-2222200000000−2i−2i2i2i000000002i−2i−2i2i00000000-2-222000000000000000000000000
χ522222-2-2-2-2-222-2-2-22−2i−2i−2i−2i2i2i2i2i-2-2222−2i−2i2i2i2i2i−2i−2i2222-2-2-2-200000000−2i−2i2i2i00000000−2i2i2i−2i0000000022-2-2000000000000000000000000
χ532222-2-2-2-2-2-2-222-222i2i2i2i−2i−2i−2i−2i22-2-222i2i−2i−2i−2i−2i2i2i2222-2-2-2-200000000−2i−2i2i2i00000000−2i2i2i−2i00000000-2-222000000000000000000000000
χ542222-2-2-2-2-2-2-222-222i2i2i2i−2i−2i−2i−2i22-2-22−2i−2i2i2i2i2i−2i−2i-2-2-2-2222200000000−2i−2i2i2i000000002i−2i−2i2i0000000022-2-2000000000000000000000000
χ552222-2-2-2-2-2-2-222-22−2i−2i−2i−2i2i2i2i2i22-2-222i2i−2i−2i−2i−2i2i2i-2-2-2-22222000000002i2i−2i−2i00000000−2i2i2i−2i0000000022-2-2000000000000000000000000
χ562222-2-2-2-2-2-2-222-22−2i−2i−2i−2i2i2i2i2i22-2-22−2i−2i2i2i2i2i−2i−2i2222-2-2-2-2000000002i2i−2i−2i000000002i−2i−2i2i00000000-2-222000000000000000000000000
χ572-2-2222-2-222-22-2-2-22i2i−2i−2i2i2i−2i−2i2-22-2200000000000000002-22-22-22-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000
χ582-2-2222-2-222-22-2-2-22i2i−2i−2i2i2i−2i−2i2-22-220000000000000000-22-22-22-222i−2i2i−2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000
χ592-2-2222-2-222-22-2-2-2−2i−2i2i2i−2i−2i2i2i2-22-2200000000000000002-22-22-22-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000
χ602-2-2222-2-222-22-2-2-2−2i−2i2i2i−2i−2i2i2i2-22-220000000000000000-22-22-22-22−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000
χ612-2-2222-2-22-22-22-2-22i2i−2i−2i2i2i−2i−2i-22-22200000000000000002-2-222-2-22−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000
χ622-2-2222-2-22-22-22-2-22i2i−2i−2i2i2i−2i−2i-22-2220000000000000000-222-2-222-2−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000
χ632-2-2222-2-22-22-22-2-2−2i−2i2i2i−2i−2i2i2i-22-22200000000000000002-2-222-2-222i−2i2i−2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000
χ642-2-2222-2-22-22-22-2-2−2i−2i2i2i−2i−2i2i2i-22-2220000000000000000-222-2-222-22i−2i2i−2i2i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000
χ652-2-2222-2-2-22-2-2222000000002-2-22-2000000002i2i−2i−2i2i2i−2i−2i0000000000002-2-222-2-2200002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000
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χ682-2-2222-2-2-22-2-2222000000002-2-22-200000000−2i−2i2i2i−2i−2i2i2i000000000000-222-2-222-200002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ692-2-2222-2-2-2-222-22200000000-222-2-2000000002i2i−2i−2i2i2i−2i−2i0000000000002-2-22-222-200002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ702-2-2222-2-2-2-222-22200000000-222-2-2000000002i2i−2i−2i2i2i−2i−2i000000000000-222-22-2-220000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ712-2-2222-2-2-2-222-22200000000-222-2-200000000−2i−2i2i2i−2i−2i2i2i0000000000002-2-22-222-20000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ722-2-2222-2-2-2-222-22200000000-222-2-200000000−2i−2i2i2i−2i−2i2i2i000000000000-222-22-2-2200002i−2i2i−2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ732-2-22-2-22222-22-2-2200000000-22-22-2000000002i2i−2i−2i−2i−2i2i2i2-2-22-222-20000000000000000000000002i−2i−2i2i2i−2i2i−2i2i−2i2i−2i0000000000000000
χ742-2-22-2-22222-22-2-2200000000-22-22-2000000002i2i−2i−2i−2i−2i2i2i-222-22-2-220000000000000000000000002i−2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000
χ752-2-22-2-22222-22-2-2200000000-22-22-200000000−2i−2i2i2i2i2i−2i−2i2-2-22-222-2000000000000000000000000−2i2i2i−2i−2i2i−2i2i−2i2i−2i2i0000000000000000
χ762-2-22-2-22222-22-2-2200000000-22-22-200000000−2i−2i2i2i2i2i−2i−2i-222-22-2-22000000000000000000000000−2i2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000
χ772-2-22-2-2222-22-22-22000000002-22-2-2000000002i2i−2i−2i−2i−2i2i2i2-22-2-22-22000000000000000000000000−2i2i2i−2i2i−2i2i−2i−2i2i−2i2i0000000000000000
χ782-2-22-2-2222-22-22-22000000002-22-2-2000000002i2i−2i−2i−2i−2i2i2i-22-222-22-2000000000000000000000000−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i0000000000000000
χ792-2-22-2-2222-22-22-22000000002-22-2-200000000−2i−2i2i2i2i2i−2i−2i2-22-2-22-220000000000000000000000002i−2i−2i2i−2i2i−2i2i2i−2i2i−2i0000000000000000
χ802-2-22-2-2222-22-22-22000000002-22-2-200000000−2i−2i2i2i2i2i−2i−2i-22-222-22-20000000000000000000000002i−2i−2i2i2i−2i2i−2i−2i2i−2i2i0000000000000000
χ812-2-22-2-222-22-2-222-222-2-2-2-222-222-220000000000000000000000002-2-220000000000002-2-222-2-220000-222-2-222-20000000000000000
χ822-2-22-2-222-22-2-222-222-2-2-2-222-222-220000000000000000000000002-2-22000000000000-222-2-222-200002-2-222-2-220000000000000000
χ832-2-22-2-222-22-2-222-2-2-22222-2-2-222-22000000000000000000000000-222-20000000000002-2-222-2-2200002-2-222-2-220000000000000000
χ842-2-22-2-222-22-2-222-2-2-22222-2-2-222-22000000000000000000000000-222-2000000000000-222-2-222-20000-222-2-222-20000000000000000
χ852-2-22-2-222-2-222-22-222-2-2-2-2222-2-222000000000000000000000000-222-20000000000002-2-22-222-20000-222-22-2-220000000000000000
χ862-2-22-2-222-2-222-22-222-2-2-2-2222-2-222000000000000000000000000-222-2000000000000-222-22-2-2200002-2-22-222-20000000000000000
χ872-2-22-2-222-2-222-22-2-2-22222-2-22-2-2220000000000000000000000002-2-220000000000002-2-22-222-200002-2-22-222-20000000000000000
χ882-2-22-2-222-2-222-22-2-2-22222-2-22-2-2220000000000000000000000002-2-22000000000000-222-22-2-220000-222-22-2-220000000000000000
χ8944-4-44i−4i4i−4i00000002+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i0000000004ζ−4ζ4ζ3−4ζ32i2−2i22i2−2i222−2222−22000000000000000000000000000000000000000000000000000000000000
χ9044-4-44i−4i4i−4i00000002+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i000000000−4ζ4ζ−4ζ34ζ3−2i22i2−2i22i2−2222−2222000000000000000000000000000000000000000000000000000000000000
χ9144-4-44i−4i4i−4i0000000−2−2i2+2i−2−2i2+2i−2+2i2−2i−2+2i2−2i0000000004ζ−4ζ4ζ3−4ζ3−2i22i2−2i22i2−2222−2222000000000000000000000000000000000000000000000000000000000000
χ9244-4-44i−4i4i−4i0000000−2−2i2+2i−2−2i2+2i−2+2i2−2i−2+2i2−2i000000000−4ζ4ζ−4ζ34ζ32i2−2i22i2−2i222−2222−22000000000000000000000000000000000000000000000000000000000000
χ9344-4-4−4i4i−4i4i00000002−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i0000000004ζ3−4ζ34ζ−4ζ2i2−2i22i2−2i2−2222−2222000000000000000000000000000000000000000000000000000000000000
χ9444-4-4−4i4i−4i4i00000002−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i000000000−4ζ34ζ3−4ζ4ζ−2i22i2−2i22i222−2222−22000000000000000000000000000000000000000000000000000000000000
χ9544-4-4−4i4i−4i4i0000000−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i0000000004ζ3−4ζ34ζ−4ζ−2i22i2−2i22i222−2222−22000000000000000000000000000000000000000000000000000000000000
χ9644-4-4−4i4i−4i4i0000000−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i000000000−4ζ34ζ3−4ζ4ζ2i2−2i22i2−2i2−2222−2222000000000000000000000000000000000000000000000000000000000000
χ974-44-44i−4i−4i4i00000002−2i−2+2i−2+2i2−2i−2−2i2+2i2+2i−2−2i000004ζ3−4ζ34ζ−4ζ000022−22−2222−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000000000
χ984-44-44i−4i−4i4i00000002−2i−2+2i−2+2i2−2i−2−2i2+2i2+2i−2−2i00000−4ζ34ζ3−4ζ4ζ0000−222222−222i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000000000
χ994-44-44i−4i−4i4i0000000−2+2i2−2i2−2i−2+2i2+2i−2−2i−2−2i2+2i000004ζ3−4ζ34ζ−4ζ0000−222222−222i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000000000
χ1004-44-44i−4i−4i4i0000000−2+2i2−2i2−2i−2+2i2+2i−2−2i−2−2i2+2i00000−4ζ34ζ3−4ζ4ζ000022−22−2222−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000000000
χ1014-44-4−4i4i4i−4i00000002+2i−2−2i−2−2i2+2i−2+2i2−2i2−2i−2+2i000004ζ−4ζ4ζ3−4ζ30000−222222−22−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000000000
χ1024-44-4−4i4i4i−4i00000002+2i−2−2i−2−2i2+2i−2+2i2−2i2−2i−2+2i00000−4ζ4ζ−4ζ34ζ3000022−22−22222i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000000000
χ1034-44-4−4i4i4i−4i0000000−2−2i2+2i2+2i−2−2i2−2i−2+2i−2+2i2−2i000004ζ−4ζ4ζ3−4ζ3000022−22−22222i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000000000
χ1044-44-4−4i4i4i−4i0000000−2−2i2+2i2+2i−2−2i2−2i−2+2i−2+2i2−2i00000−4ζ4ζ−4ζ34ζ30000−222222−22−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000000000

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