Finite Group Databasebeta

← Group #72317779

Character table — Group #72317779

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size111111112222222222224444444444444444444444448888888888888888888888888888888816161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232323232323232323232
order12448888222444888888222222444444888888888888222222224444444488888888888888882244444444448888888888884444444444444444444488888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111111111111111111111111-1-11111-1-111111111-1-1-1-11-11111-1-11-11111-1-111-1-1-1-1-1-1111111111-11-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-1ii−i−iii−i−iii−i−iii−i−i
χ10111111111111111111111111-1-11111-1-111111111-1-1-1-11-11111-1-11-11111-1-111-1-1-1-1-1-1111111111-11-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-1−i−iii−i−iii−i−iii−i−iii
χ11111111111111111111111111-1-11111-1-111111111-1-1-1-11-11111-1-11-11111-1-111-1-1-1-1-1-111111111-11-11-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii-1-111ii−i−i−i−iiiii−i−i−i−iii
χ12111111111111111111111111-1-11111-1-111111111-1-1-1-11-11111-1-11-11111-1-111-1-1-1-1-1-111111111-11-11-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i-1-111−i−iiiii−i−i−i−iiiii−i−i
χ13111111111111111111111111-1-11111-1-111111111-1-1-1-11-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111-1-111-1-1111111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii-1-111ii−i−iii−i−i−i−iii−i−iii
χ14111111111111111111111111-1-11111-1-111111111-1-1-1-11-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111-1-111-1-1111111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i-1-111−i−iii−i−iiiii−i−iii−i−i
χ15111111111111111111111111-1-11111-1-111111111-1-1-1-11-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-1111111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111111111111111111111-1-11111-1-111111111-1-1-1-11-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-1111111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1−i−iiiii−i−iii−i−i−i−iii
χ171111-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ181111-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ191111-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ201111-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ211111-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111
χ221111-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ231111-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ241111-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ251111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111-11111-1-11-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-1-1-1111111-1-11111-1-1ii−i−i−i−iiiii−i−iii−i−i-1-111−i−iiiii−i−i−i−iii−i−iii
χ261111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111-11111-1-11-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-1-1-1111111-1-11111-1-1−i−iiiii−i−i−i−iii−i−iii-1-111ii−i−i−i−iiiii−i−iii−i−i
χ271111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111-11111-1-11-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-1111111-1-1-1-111ii−i−iii−i−iii−i−i−i−iii11-1-1−i−iii−i−iii−i−iiiii−i−i
χ281111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111-11111-1-11-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-1111111-1-1-1-111−i−iii−i−iii−i−iiiii−i−i11-1-1ii−i−iii−i−iii−i−i−i−iii
χ291111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111111111111-11-1111111-1-1-1-111-1-1-1-1-1-111-1-111ii−i−i−i−iii−i−iii−i−iii11-1-1−i−iiiii−i−iii−i−iii−i−i
χ301111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111111111111-11-1111111-1-1-1-111-1-1-1-1-1-111-1-111−i−iiiii−i−iii−i−iii−i−i11-1-1ii−i−i−i−iii−i−iii−i−iii
χ311111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111111111-11-111111-1-11111-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−i−i−iiiii−i−i-1-111−i−iii−i−iiiii−i−i−i−iii
χ321111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111111111-11-111111-1-11111-1-1-1-1-1-111-1-111-1-1−i−iii−i−iiiii−i−i−i−iii-1-111ii−i−iii−i−i−i−iiiii−i−i
χ332222222222222222222222-2-22222-2-2222222-2-2-2-22222-2-200002-2-2-200002-2-2-222-2-2-2-20000000000000000000000000000000000002-22-200000000000000002-22-2000000000000
χ342222222222222222222222-2-22222-2-2222222-2-2-2-22222-2-200002-2-2-200002-2-2-222-2-2-2-2000000000000000000000000000000000000-22-220000000000000000-22-22000000000000
χ352222222222222222222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-2-220000-22-220000-22-2-2-2-222220000000000000000000000000000000000002i−2i−2i2i00000000000000002i−2i−2i2i000000000000
χ362222222222222222222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-2-220000-22-220000-22-2-2-2-22222000000000000000000000000000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i000000000000
χ3722222222222222222222-2-22222-2-22222-2-2-2-222222222-220000-2-2-220000-2-2-2-2-2-222-2-20000000022220000-2-2-2-222220000-2-2-2-20000000000000000000000000000000000000000
χ3822222222222222222222-2-22222-2-22222-2-2-2-222222222-220000-2-2-220000-2-2-2-2-2-222-2-200000000-2-2-2-200002222-2-2-2-2000022220000000000000000000000000000000000000000
χ3922222222222222222222-2-222-2-2-2-222-2-2-2-2-2-22222-2-2-2-2-2-2000022-2-2000022-2-222-2-222000000002-22-20000-2-22222-2-20000-2-2220000000000000000000000000000000000000000
χ4022222222222222222222-2-222-2-2-2-222-2-2-2-2-2-22222-2-2-2-2-2-2000022-2-2000022-2-222-2-22200000000-22-22000022-2-2-2-222000022-2-20000000000000000000000000000000000000000
χ4122222222222222222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-222222-20000-222-20000-2222-2-2-2-22200000000000000000000000000000000000000002-22-200000000000000002-22-200000000
χ4222222222222222222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-222222-20000-222-20000-2222-2-2-2-2220000000000000000000000000000000000000000-22-220000000000000000-22-2200000000
χ4322222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22200002-22200002-2222222-2-200000000000000000000000000000000000000002i−2i−2i2i00000000000000002i−2i−2i2i00000000
χ4422222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22200002-22200002-2222222-2-20000000000000000000000000000000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i00000000
χ452222-2-2-2-2222222-2-2-2-2-2-222-2-22222-2-222-2-2-2-22222-2-2-2-2-2-200002-2-2-200002-222-2-222220000000000000000000000000000000000002-22-20000000000000000-22-22000000000000
χ462222-2-2-2-2222222-2-2-2-2-2-222-2-22222-2-222-2-2-2-22222-2-2-2-2-2-200002-2-2-200002-222-2-22222000000000000000000000000000000000000-22-2200000000000000002-22-2000000000000
χ472222-2-2-2-2222222-2-2-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-222222222-220000-22-220000-222222-2-2-2-20000000000000000000000000000000000002i−2i−2i2i0000000000000000−2i2i2i−2i000000000000
χ482222-2-2-2-2222222-2-2-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-222222222-220000-22-220000-222222-2-2-2-2000000000000000000000000000000000000−2i2i2i−2i00000000000000002i−2i−2i2i000000000000
χ492222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-222222222-2-2-2-2-2-2-2-2-220000-2-2-220000-2-22222-2-2220000000022220000-2-2-2-2-2-2-2-2000022220000000000000000000000000000000000000000
χ502222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-222222222-2-2-2-2-2-2-2-2-220000-2-2-220000-2-22222-2-22200000000-2-2-2-20000222222220000-2-2-2-20000000000000000000000000000000000000000
χ512222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2-2-222-2-22222-2-2-2-22222-2-2000022-2-200002222-2-222-2-2000000002-22-20000-2-222-2-222000022-2-20000000000000000000000000000000000000000
χ522222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2-2-222-2-22222-2-2-2-22222-2-2000022-2-200002222-2-222-2-200000000-22-22000022-2-222-2-20000-2-2220000000000000000000000000000000000000000
χ532222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222222222-2-2-2-22-20000-222-20000-22-2-22222-2-200000000000000000000000000000000000000002-22-20000000000000000-22-2200000000
χ542222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222222222-2-2-2-22-20000-222-20000-22-2-22222-2-20000000000000000000000000000000000000000-22-2200000000000000002-22-200000000
χ552222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222200002-22200002-2-2-2-2-2-2-22200000000000000000000000000000000000000002i−2i−2i2i0000000000000000−2i2i2i−2i00000000
χ562222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222200002-22200002-2-2-2-2-2-2-2220000000000000000000000000000000000000000−2i2i2i−2i00000000000000002i−2i−2i2i00000000
χ5722-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i222222-2-2-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2-222222-2-22-2-2-2-2-222i−2i2i−2i2i−2i2i−2i2i2i2i2i−2i−2i−2i−2i000022-2-2000000002i2i−2i−2i00000000000000000000000000000000000000000000
χ5822-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i222222-2-2-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2-2-2-2-2-22-2-222222-222i−2i2i−2i2i−2i2i−2i−2i−2i−2i−2i2i2i2i2i0000-2-22200000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ5922-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i2222-2-2-2-2-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i222222-22-2-2-2-2-2-22-22i−2i−2i2i−2i2i−2i2i2i2i2i2i−2i−2i−2i−2i0000-2-22200000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ6022-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i2222-2-2-2-2-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i22-2-2-2-2-22-2-222222-22i−2i−2i2i−2i2i−2i2i−2i−2i−2i−2i2i2i2i2i000022-2-2000000002i2i−2i−2i00000000000000000000000000000000000000000000
χ6122-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i22-2-222-2-222-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i-220000222-20000-2-2−2i2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000002-22-200000000000000002i−2i2i−2i0000
χ6222-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i22-2-222-2-222-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i-220000222-20000-2-2−2i2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000000000-22-220000000000000000−2i2i−2i2i0000
χ6322-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i22-2-2-2-2-2-222222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-2-20000-2-222000022−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000002i−2i−2i2i0000000000000000-222-20000
χ6422-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i22-2-2-2-2-2-222222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-2-20000-2-222000022−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000000000000000−2i2i2i−2i00000000000000002-2-220000
χ6522-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i-2-2222222-2-2-2-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-2-20000-222200002-2−2i2i−2i2i2i−2i−2i2i000000000000000000000000000000002-22-200000000000000002i−2i2i−2i0000000000000000
χ6622-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i-2-2222222-2-2-2-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-2-20000-222200002-2−2i2i−2i2i2i−2i−2i2i00000000000000000000000000000000-22-220000000000000000−2i2i−2i2i0000000000000000
χ6722-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i-2-222-2-222-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i-2200002-22-20000-22−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000002-2-2200000000000000002i−2i−2i2i0000000000000000
χ6822-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i-2-222-2-222-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i-2200002-22-20000-22−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000-222-20000000000000000−2i2i2i−2i0000000000000000
χ6922-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i-2-2-2-2222222-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i220000-2-2-2-20000222i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000000000002i−2i2i−2i00000000000000002-22-2
χ7022-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i-2-2-2-2222222-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i220000-2-2-2-20000222i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000−2i2i−2i2i0000000000000000-22-22
χ7122-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i-2-2-2-2-2-2222222−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2-2000022-220000-2-22i−2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000000000002-2-220000000000000000−2i2i2i−2i
χ7222-2-22i2i−2i−2i222-2-2-22i2i2i−2i−2i−2i-2-2-2-2-2-2222222−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2-2000022-220000-2-22i−2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000-222-200000000000000002i−2i−2i2i
χ7322-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i222222-2-2-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2-222222-2-22-2-2-2-2-22−2i2i−2i2i−2i2i−2i2i−2i−2i−2i−2i2i2i2i2i000022-2-200000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ7422-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i222222-2-2-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2-2-2-2-2-22-2-222222-22−2i2i−2i2i−2i2i−2i2i2i2i2i2i−2i−2i−2i−2i0000-2-222000000002i2i−2i−2i00000000000000000000000000000000000000000000
χ7522-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i2222-2-2-2-2-2-222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i222222-22-2-2-2-2-2-22-2−2i2i2i−2i2i−2i2i−2i−2i−2i−2i−2i2i2i2i2i0000-2-222000000002i2i−2i−2i00000000000000000000000000000000000000000000
χ7622-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i2222-2-2-2-2-2-222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i22-2-2-2-2-22-2-222222-2−2i2i2i−2i2i−2i2i−2i2i2i2i2i−2i−2i−2i−2i000022-2-200000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ7722-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i22-2-222-2-222-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i-220000222-20000-2-22i−2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000002-22-20000000000000000−2i2i−2i2i0000
χ7822-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i22-2-222-2-222-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i-220000222-20000-2-22i−2i−2i2i2i−2i2i−2i00000000000000000000000000000000000000000000-22-2200000000000000002i−2i2i−2i0000
χ7922-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i22-2-2-2-2-2-22222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-2-20000-2-2220000222i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000002i−2i−2i2i00000000000000002-2-220000
χ8022-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i22-2-2-2-2-2-22222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-2-20000-2-2220000222i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000000000−2i2i2i−2i0000000000000000-222-20000
χ8122-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i-2-2222222-2-2-2-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-2-20000-222200002-22i−2i2i−2i−2i2i2i−2i000000000000000000000000000000002-22-20000000000000000−2i2i−2i2i0000000000000000
χ8222-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i-2-2222222-2-2-2-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-2-20000-222200002-22i−2i2i−2i−2i2i2i−2i00000000000000000000000000000000-22-2200000000000000002i−2i2i−2i0000000000000000
χ8322-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i-2-222-2-222-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i-2200002-22-20000-222i−2i−2i2i2i−2i−2i2i000000000000000000000000000000002-2-220000000000000000−2i2i2i−2i0000000000000000
χ8422-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i-2-222-2-222-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i-2200002-22-20000-222i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000-222-200000000000000002i−2i−2i2i0000000000000000
χ8522-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i-2-2-2-2222222-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i220000-2-2-2-2000022−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000000000002i−2i2i−2i0000000000000000-22-22
χ8622-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i-2-2-2-2222222-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i220000-2-2-2-2000022−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000−2i2i−2i2i00000000000000002-22-2
χ8722-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i-2-2-2-2-2-22222222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2-2000022-220000-2-2−2i2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000000000002-2-2200000000000000002i−2i−2i2i
χ8822-2-2−2i−2i2i2i222-2-2-2−2i−2i−2i2i2i2i-2-2-2-2-2-22222222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2-2000022-220000-2-2−2i2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000-222-20000000000000000−2i2i2i−2i
χ8944444444-44-4-44-44-4-44-4-400004-400004-4000000004-44-40022-2-2000022-2-2000000000022-2-222-2-200002-22-2000000002-22-200000000000000000000000000000000000000000000
χ9044444444-44-4-44-44-4-44-4-400004-400004-4000000004-44-400-2-2220000-2-2220000000000-2-222-2-2220000-22-2200000000-22-2200000000000000000000000000000000000000000000
χ9144444444-44-4-44-44-4-44-4-40000-440000-4400000000-44-440022-2-2000022-2-2000000000022-2-222-2-20000-22-2200000000-22-2200000000000000000000000000000000000000000000
χ9244444444-44-4-44-44-4-44-4-40000-440000-4400000000-44-4400-2-2220000-2-2220000000000-2-222-2-22200002-22-2000000002-22-200000000000000000000000000000000000000000000
χ9344444444-4-44-4-44-44-4-44-4004-400004-40000004-44-400000000000000000000000000000000000000000000004-400000000004-40000000000000000000000000000000000000000
χ9444444444-4-44-4-44-44-4-44-4004-400004-40000004-44-40000000000000000000000000000000000000000000000-440000000000-440000000000000000000000000000000000000000
χ9544444444-4-44-4-44-44-4-44-400-440000-44000000-44-44000000000000000000000000000000000000000000004-400000000004-4000000000000000000000000000000000000000000
χ9644444444-4-44-4-44-44-4-44-400-440000-44000000-44-4400000000000000000000000000000000000000000000-440000000000-44000000000000000000000000000000000000000000
χ974444-4-4-4-4-44-4-44-4-444-44400004-400004-400000000-44-440022-2-2000022-2-20000000000-2-222-2-22200002-22-200000000-22-2200000000000000000000000000000000000000000000
χ984444-4-4-4-4-44-4-44-4-444-44400004-400004-400000000-44-4400-2-2220000-2-222000000000022-2-222-2-20000-22-22000000002-22-200000000000000000000000000000000000000000000
χ994444-4-4-4-4-44-4-44-4-444-4440000-440000-44000000004-44-40022-2-2000022-2-20000000000-2-222-2-2220000-22-22000000002-22-200000000000000000000000000000000000000000000
χ1004444-4-4-4-4-44-4-44-4-444-4440000-440000-44000000004-44-400-2-2220000-2-222000000000022-2-222-2-200002-22-200000000-22-2200000000000000000000000000000000000000000000
χ1014444-4-4-4-4-4-44-4-444-444-44004-400004-4000000-44-4400000000000000000000000000000000000000000000004-40000000000-440000000000000000000000000000000000000000
χ1024444-4-4-4-4-4-44-4-444-444-44004-400004-4000000-44-440000000000000000000000000000000000000000000000-4400000000004-40000000000000000000000000000000000000000
χ1034444-4-4-4-4-4-44-4-444-444-4400-440000-440000004-44-4000000000000000000000000000000000000000000004-40000000000-44000000000000000000000000000000000000000000
χ1044444-4-4-4-4-4-44-4-444-444-4400-440000-440000004-44-400000000000000000000000000000000000000000000-4400000000004-4000000000000000000000000000000000000000000
χ10544-4-44i4i−4i−4i-44-44-444i−4i−4i−4i4i4i00004-40000-44000000004i−4i−4i4i0022-2-20000-2-22200000000002i2i−2i−2i−2i−2i2i2i00002-2-22000000002i−2i−2i2i00000000000000000000000000000000000000000000
χ10644-4-44i4i−4i−4i-44-44-444i−4i−4i−4i4i4i00004-40000-44000000004i−4i−4i4i00-2-222000022-2-20000000000−2i−2i2i2i2i2i−2i−2i0000-222-200000000−2i2i2i−2i00000000000000000000000000000000000000000000
χ10744-4-44i4i−4i−4i-44-44-444i−4i−4i−4i4i4i0000-4400004-400000000−4i4i4i−4i0022-2-20000-2-22200000000002i2i−2i−2i−2i−2i2i2i0000-222-200000000−2i2i2i−2i00000000000000000000000000000000000000000000
χ10844-4-44i4i−4i−4i-44-44-444i−4i−4i−4i4i4i0000-4400004-400000000−4i4i4i−4i00-2-222000022-2-20000000000−2i−2i2i2i2i2i−2i−2i00002-2-22000000002i−2i−2i2i00000000000000000000000000000000000000000000
χ10944-4-44i4i−4i−4i-4-4444-4−4i4i−4i4i−4i4i004-40000-440000004i−4i−4i4i000000000000000000000000000000000000040-400000000004i−4i000000000000000000000000000000000000000000000000
χ11044-4-44i4i−4i−4i-4-4444-4−4i4i−4i4i−4i4i004-40000-440000004i−4i−4i4i0000000000000000000000000000000000000-4040000000000−4i4i000000000000000000000000000000000000000000000000
χ11144-4-44i4i−4i−4i-4-4444-4−4i4i−4i4i−4i4i00-4400004-4000000−4i4i4i−4i00000000000000000000000000000000000040-40000000004i−4i00000000000000000000000000000000000000000000000000
χ11244-4-44i4i−4i−4i-4-4444-4−4i4i−4i4i−4i4i00-4400004-4000000−4i4i4i−4i000000000000000000000000000000000000-404000000000−4i4i00000000000000000000000000000000000000000000000000
χ11344-4-4−4i−4i4i4i-44-44-44−4i4i4i4i−4i−4i00004-40000-4400000000−4i4i4i−4i0022-2-20000-2-2220000000000−2i−2i2i2i2i2i−2i−2i00002-2-2200000000−2i2i2i−2i00000000000000000000000000000000000000000000
χ11444-4-4−4i−4i4i4i-44-44-44−4i4i4i4i−4i−4i00004-40000-4400000000−4i4i4i−4i00-2-222000022-2-200000000002i2i−2i−2i−2i−2i2i2i0000-222-2000000002i−2i−2i2i00000000000000000000000000000000000000000000
χ11544-4-4−4i−4i4i4i-44-44-44−4i4i4i4i−4i−4i0000-4400004-4000000004i−4i−4i4i0022-2-20000-2-2220000000000−2i−2i2i2i2i2i−2i−2i0000-222-2000000002i−2i−2i2i00000000000000000000000000000000000000000000
χ11644-4-4−4i−4i4i4i-44-44-44−4i4i4i4i−4i−4i0000-4400004-4000000004i−4i−4i4i00-2-222000022-2-200000000002i2i−2i−2i−2i−2i2i2i00002-2-2200000000−2i2i2i−2i00000000000000000000000000000000000000000000
χ11744-4-4−4i−4i4i4i-4-4444-44i−4i4i−4i4i−4i004-40000-44000000−4i4i4i−4i000000000000000000000000000000000000040-40000000000−4i4i000000000000000000000000000000000000000000000000
χ11844-4-4−4i−4i4i4i-4-4444-44i−4i4i−4i4i−4i004-40000-44000000−4i4i4i−4i0000000000000000000000000000000000000-40400000000004i−4i000000000000000000000000000000000000000000000000
χ11944-4-4−4i−4i4i4i-4-4444-44i−4i4i−4i4i−4i00-4400004-40000004i−4i−4i4i00000000000000000000000000000000000040-4000000000−4i4i00000000000000000000000000000000000000000000000000
χ12044-4-4−4i−4i4i4i-4-4444-44i−4i4i−4i4i−4i00-4400004-40000004i−4i−4i4i000000000000000000000000000000000000-4040000000004i−4i00000000000000000000000000000000000000000000000000
χ121888888888-8-88-8-8-8-88-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228888-8-8-8-88-8-88-8-888-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12388-8-88i8i−8i−8i8-8-8-888−8i−8i8i8i8i−8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8−8i−8i8i8i8-8-8-8888i8i−8i−8i−8i8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88i−8i8ζ−8ζ8ζ3−8ζ30000000000004-400004i−4i00004ζ−4ζ4ζ3−4ζ30000000000004-40000004i−4i0000000000004ζ−4ζ004ζ3−4ζ30000000000000000000000000000000000000000000000000000000000000000
χ1268-88i−8i8ζ−8ζ8ζ3−8ζ30000000000004-400004i−4i00004ζ−4ζ4ζ3−4ζ3000000000000-44000000−4i4i000000000000−4ζ4ζ00−4ζ34ζ30000000000000000000000000000000000000000000000000000000000000000
χ1278-88i−8i8ζ−8ζ8ζ3−8ζ3000000000000-440000−4i4i0000−4ζ4ζ−4ζ34ζ300000000004-40000004i−4i0000000000004ζ−4ζ004ζ3−4ζ3000000000000000000000000000000000000000000000000000000000000000000
χ1288-88i−8i8ζ−8ζ8ζ3−8ζ3000000000000-440000−4i4i0000−4ζ4ζ−4ζ34ζ30000000000-44000000−4i4i000000000000−4ζ4ζ00−4ζ34ζ3000000000000000000000000000000000000000000000000000000000000000000
χ1298-88i−8i−8ζ8ζ−8ζ38ζ30000000000004-400004i−4i0000−4ζ4ζ−4ζ34ζ30000000000004-40000004i−4i000000000000−4ζ4ζ00−4ζ34ζ30000000000000000000000000000000000000000000000000000000000000000
χ1308-88i−8i−8ζ8ζ−8ζ38ζ30000000000004-400004i−4i0000−4ζ4ζ−4ζ34ζ3000000000000-44000000−4i4i0000000000004ζ−4ζ004ζ3−4ζ30000000000000000000000000000000000000000000000000000000000000000
χ1318-88i−8i−8ζ8ζ−8ζ38ζ3000000000000-440000−4i4i00004ζ−4ζ4ζ3−4ζ300000000004-40000004i−4i000000000000−4ζ4ζ00−4ζ34ζ3000000000000000000000000000000000000000000000000000000000000000000
χ1328-88i−8i−8ζ8ζ−8ζ38ζ3000000000000-440000−4i4i00004ζ−4ζ4ζ3−4ζ30000000000-44000000−4i4i0000000000004ζ−4ζ004ζ3−4ζ3000000000000000000000000000000000000000000000000000000000000000000
χ1338-8−8i8i8ζ3−8ζ38ζ−8ζ0000000000004-40000−4i4i00004ζ3−4ζ34ζ−4ζ0000000000004-4000000−4i4i0000000000004ζ3−4ζ3004ζ−4ζ0000000000000000000000000000000000000000000000000000000000000000
χ1348-8−8i8i8ζ3−8ζ38ζ−8ζ0000000000004-40000−4i4i00004ζ3−4ζ34ζ−4ζ000000000000-440000004i−4i000000000000−4ζ34ζ300−4ζ4ζ0000000000000000000000000000000000000000000000000000000000000000
χ1358-8−8i8i8ζ3−8ζ38ζ−8ζ000000000000-4400004i−4i0000−4ζ34ζ3−4ζ4ζ00000000004-4000000−4i4i0000000000004ζ3−4ζ3004ζ−4ζ000000000000000000000000000000000000000000000000000000000000000000
χ1368-8−8i8i8ζ3−8ζ38ζ−8ζ000000000000-4400004i−4i0000−4ζ34ζ3−4ζ4ζ0000000000-440000004i−4i000000000000−4ζ34ζ300−4ζ4ζ000000000000000000000000000000000000000000000000000000000000000000
χ1378-8−8i8i−8ζ38ζ3−8ζ8ζ0000000000004-40000−4i4i0000−4ζ34ζ3−4ζ4ζ0000000000004-4000000−4i4i000000000000−4ζ34ζ300−4ζ4ζ0000000000000000000000000000000000000000000000000000000000000000
χ1388-8−8i8i−8ζ38ζ3−8ζ8ζ0000000000004-40000−4i4i0000−4ζ34ζ3−4ζ4ζ000000000000-440000004i−4i0000000000004ζ3−4ζ3004ζ−4ζ0000000000000000000000000000000000000000000000000000000000000000
χ1398-8−8i8i−8ζ38ζ3−8ζ8ζ000000000000-4400004i−4i00004ζ3−4ζ34ζ−4ζ00000000004-4000000−4i4i000000000000−4ζ34ζ300−4ζ4ζ000000000000000000000000000000000000000000000000000000000000000000
χ1408-8−8i8i−8ζ38ζ3−8ζ8ζ000000000000-4400004i−4i00004ζ3−4ζ34ζ−4ζ0000000000-440000004i−4i0000000000004ζ3−4ζ3004ζ−4ζ000000000000000000000000000000000000000000000000000000000000000000

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