Finite Group Databasebeta

← Group #72227109

Character table — Group #72227109

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size112222222222244444444444444444444444488888888888888888888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232326464646464646464
order122224444888844444488888888881616161616161616224444488888816161616161616161616161616161616323232323232323232323232323232324488161616161616323232323232323232323232323232323232323232323232888888881616161616161616888816161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ51111111111111111111111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ81111111111111111111111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ9111111111111111-1-1-1-1111-1-1111-1-11111111111111-1-11111-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ10111111111111111-1-1-1-1111-1-1111-1-11111111111111-1-11111-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ11111111111111111-1-1-1-1111-1-1111-1-11111111111111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ12111111111111111-1-1-1-1111-1-1111-1-11111111111111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ13111111111111111-1-1-1-1111-1-1111-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ14111111111111111-1-1-1-1111-1-1111-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ15111111111111111-1-1-1-1111-1-1111-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ16111111111111111-1-1-1-1111-1-1111-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ17111-1-11-11-1111111i−ii−i1-1-1i−i1-1-1i−i11-1-111-1-11-11-1-1i−i11-1-1i−i1111-1-1-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−ii−ii−ii−iii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3
χ18111-1-11-11-1111111i−ii−i1-1-1i−i1-1-1i−i11-1-111-1-11-11-1-1i−i11-1-1i−i1111-1-1-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−ii−ii−ii−iii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3
χ19111-1-11-11-1111111i−ii−i1-1-1i−i1-1-1i−i11-1-111-1-11-11-1-1i−i11-1-1i−i1111-1-1-1-111-1-1ii−i−i-1-1-1-11111−i−i−i−iiiiii−ii−ii−iii−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3
χ20111-1-11-11-1111111i−ii−i1-1-1i−i1-1-1i−i11-1-111-1-11-11-1-1i−i11-1-1i−i1111-1-1-1-111-1-1ii−i−i-1-1-1-11111−i−i−i−iiiiii−ii−ii−iii−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3
χ21111-1-11-11-1111111i−ii−i1-1-1i−i1-1-1i−i11-1-111-1-1-11-11-1i−i-1-111i−i-1-1-1-1111111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i−ii−iii−i−i−iii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiiiζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζζ−ζ3ζ3−ζζ−ζ3ζ3
χ22111-1-11-11-1111111i−ii−i1-1-1i−i1-1-1i−i11-1-111-1-1-11-11-1i−i-1-111i−i-1-1-1-1111111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i−ii−iii−i−i−iii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζ−ζζ3−ζ3ζ−ζζ3−ζ3
χ23111-1-11-11-1111111i−ii−i1-1-1i−i1-1-1i−i11-1-111-1-1-11-11-1i−i-1-111i−i-1-1-1-1111111-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii−ii−iii−i−i−iii-1-111−i−iii1111-1-1-1-1iiii−i−i−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζ−ζζ3−ζ3−ζζ−ζ3ζ3
χ24111-1-11-11-1111111i−ii−i1-1-1i−i1-1-1i−i11-1-111-1-1-11-11-1i−i-1-111i−i-1-1-1-1111111-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii−ii−iii−i−i−iii-1-111−i−iii1111-1-1-1-1iiii−i−i−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζζ−ζ3ζ3ζ−ζζ3−ζ3
χ25111-1-11-11-1111111−ii−ii1-1-1−ii1-1-1−ii11-1-111-1-11-11-1-1−ii11-1-1−ii1111-1-1-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−ii−ii−ii−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3−ζ3ζ−ζζ3−ζ3ζ−ζ
χ26111-1-11-11-1111111−ii−ii1-1-1−ii1-1-1−ii11-1-111-1-11-11-1-1−ii11-1-1−ii1111-1-1-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−ii−ii−ii−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ
χ27111-1-11-11-1111111−ii−ii1-1-1−ii1-1-1−ii11-1-111-1-11-11-1-1−ii11-1-1−ii1111-1-1-1-111-1-1−i−iii-1-1-1-11111iiii−i−i−i−i−ii−ii−ii−i−iii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3ζ3−ζζζ3−ζ3ζ−ζ
χ28111-1-11-11-1111111−ii−ii1-1-1−ii1-1-1−ii11-1-111-1-11-11-1-1−ii11-1-1−ii1111-1-1-1-111-1-1−i−iii-1-1-1-11111iiii−i−i−i−i−ii−ii−ii−i−iii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3−ζ3ζ−ζ−ζ3ζ3−ζζ
χ29111-1-11-11-1111111−ii−ii1-1-1−ii1-1-1−ii11-1-111-1-1-11-11-1−ii-1-111−ii-1-1-1-1111111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiiii−ii−i−iiii−i−i11-1-1−i−iii-1-1-1-11111iiii−i−i−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3ζ3−ζζ−ζ3ζ3−ζζ
χ30111-1-11-11-1111111−ii−ii1-1-1−ii1-1-1−ii11-1-111-1-1-11-11-1−ii-1-111−ii-1-1-1-1111111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiiii−ii−i−iiii−i−i11-1-1−i−iii-1-1-1-11111iiii−i−i−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3−ζ3ζ−ζζ3−ζ3ζ−ζ
χ31111-1-11-11-1111111−ii−ii1-1-1−ii1-1-1−ii11-1-111-1-1-11-11-1−ii-1-111−ii-1-1-1-1111111-1-1−i−iii-1-1-1-11111iiii−i−i−i−ii−ii−i−iiii−i−i-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3−ζ3ζ−ζ−ζ3ζ3−ζζ
χ32111-1-11-11-1111111−ii−ii1-1-1−ii1-1-1−ii11-1-111-1-1-11-11-1−ii-1-111−ii-1-1-1-1111111-1-1−i−iii-1-1-1-11111iiii−i−i−i−ii−ii−i−iiii−i−i-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiii−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3ζ3−ζζζ3−ζ3ζ−ζ
χ3322222222222222222222222222222-2-2-2-2-2-2-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ3422222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-22222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ35222222222222222-2-2-2-2222-2-2222-2-2-2-2-2-2-2-2-2-222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-2-2-2-2222222000000000000000000000000000000000000000000000000
χ36222222222222222-2-2-2-2222-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-222222222-2-2-2-222220000000000000000222222-2-2-2-2000000000000000000000000000000000000000000000000
χ3722222222222-2-2-2-22222222-2-2-2-2-2-2-2000000002222-2-2-2-2-2-2-2220000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i222-2-2000000i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ3822222222222-2-2-2-22222222-2-2-2-2-2-2-2000000002222-2-2-2-2-2-2-2220000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i222-2-2000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ3922222222222-2-2-2-22222222-2-2-2-2-2-2-200000000-2-2-2-2-2-2-22222220000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2-2-222000000i2−i2i2−i2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ4022222222222-2-2-2-22222222-2-2-2-2-2-2-200000000-2-2-2-2-2-2-22222220000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2-2-222000000−i2i2−i2i2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ4122222222222-2-2-2-2-2-2-2-222222-2-2-222000000002222-222-2-2-2-2-2-20000000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2-2-222000000i2−i2i2−i2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ4222222222222-2-2-2-2-2-2-2-222222-2-2-222000000002222-222-2-2-2-2-2-20000000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2-2-222000000−i2i2−i2i2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ4322222222222-2-2-2-2-2-2-2-222222-2-2-22200000000-2-2-2-2-2222222-2-20000000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i222-2-2000000i2−i2i2−i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ4422222222222-2-2-2-2-2-2-2-222222-2-2-22200000000-2-2-2-2-2222222-2-20000000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i222-2-2000000−i2i2−i2i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ45222222222-2-222-2-22222-2-2-22222222222222220000-2-2-20000-2-200000000-2-2-2-2222222222222222222220000-2-20000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ46222222222-2-222-2-22222-2-2-22222222222222220000-2-2-20000-2-200000000-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-20000222222220000000000000000000000000000000000000000
χ47222222222-2-222-2-22222-2-2-22222222-2-2-2-2-2-2-2-20000-2-2-20000-2-2000000002222-2-2-2-200000000000000000000220000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ48222222222-2-222-2-22222-2-2-22222222-2-2-2-2-2-2-2-20000-2-2-20000-2-2000000002222-2-2-2-20000000000000000000022000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ49222222222-2-222-2-2-2-2-2-2-2-2-2-2-2222-2-2222222220000-22200002200000000-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000220000-2-2-2-222220000000000000000000000000000000000000000
χ50222222222-2-222-2-2-2-2-2-2-2-2-2-2-2222-2-2222222220000-22200002200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200002200002222-2-2-2-20000000000000000000000000000000000000000
χ51222222222-2-222-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-20000-222000022000000002222222200000000000000000000-2-20000000000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ52222222222-2-222-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-20000-222000022000000002222222200000000000000000000-2-2000000000000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000
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χ11844-44-4-444-400-4-400−4i4i4i−4i0004i−4i4-44−4i4i0000000000000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2−222222−22−222222−220000000000000000000000000000000000000000000000000000000000
χ11944-4-4444-4-44400000000-4-4400000002i2−2i2−2i22i22i2−2i2−2i22i200000004i−4i−4i4i0022−2222−22−2222−22222i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12044-4-4444-4-44400000000-4-4400000002i2−2i2−2i22i22i2−2i2−2i22i20000000−4i4i4i−4i00−2222−222222−2222−222i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12144-4-4444-4-44400000000-4-440000000−2i22i22i2−2i2−2i22i22i2−2i200000004i−4i−4i4i00−2222−222222−2222−22−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12244-4-4444-4-44400000000-4-440000000−2i22i22i2−2i2−2i22i22i2−2i20000000−4i4i4i−4i0022−2222−22−2222−2222−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12344-4-4444-4-4-4-40000000044-400000002i2−2i2−2i22i22i2−2i2−2i22i244-4-40000000002i2−2i2−2i22i2−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12444-4-4444-4-4-4-40000000044-400000002i2−2i2−2i22i22i2−2i2−2i22i2-4-444000000000−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12544-4-4444-4-4-4-40000000044-40000000−2i22i22i2−2i2−2i22i22i2−2i244-4-4000000000−2i22i22i2−2i22i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12644-4-4444-4-4-4-40000000044-40000000−2i22i22i2−2i2−2i22i22i2−2i2-4-4440000000002i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12744-4-44-4-44400440044-4-400044-4-44-4-44444-4-4-4-40000000000000000000000000-444-400000000000000000000000000000000000000000000000000000000000000000000000000
χ12844-4-44-4-444004400-4-444000-4-4-4-44444444-4-4-4-400000000000000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ12944-4-44-4-44400-4-40044-4-4000-4-444-44400000000000000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ13044-4-44-4-44400-4-40044-4-4000-4-444-4440000000000000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ13144-4-44-4-44400-4-400-4-4440004444-4-4-400000000000000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i2−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ13244-4-44-4-44400-4-400-4-4440004444-4-4-40000000000000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i22i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ13388888-8-8-8-8000000000000000000004i2−4i2−4i24i2−4i24i24i2−4i20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13488888-8-8-8-800000000000000000000−4i24i24i2−4i24i2−4i2−4i24i20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ135888-8-8-88-88000000000000000000004i2−4i24i2−4i2−4i24i2−4i24i20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ136888-8-8-88-8800000000000000000000−4i24i2−4i24i24i2−4i24i2−4i20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13716-1600000008i2−8i28i2−8i28-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13816-1600000008i2−8i2−8i28i2-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13916-160000000−8i28i28i2−8i2-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14016-160000000−8i28i2−8i28i28-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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