Finite Group Databasebeta

← Group #393579

Character table — Group #393579

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size111111111111111122222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222216161616161616161616161616161616
order12222222444444442222444444444444444444444444444444444444444444444444444488888888888888888888888888888888888888888888888888888888888888884444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-111111111
χ91111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ101111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-111
χ121111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-11111-1-1
χ131111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-11111-1-1
χ141111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-111-1-1-1-111
χ151111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111
χ161111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1
χ1711111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1i−ii−ii−ii−i
χ1811111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11−ii−ii−ii−ii
χ1911111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-1-11-11i−ii−i−ii−ii
χ2011111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-111-11-1−ii−iii−ii−i
χ2111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-1-11-11−ii−iii−ii−i
χ2211111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-111-11-1i−ii−i−ii−ii
χ2311111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1−ii−ii−ii−ii
χ2411111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11i−ii−ii−ii−i
χ2511111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-11i−i−iii−i−ii
χ2611111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1−iii−i−iii−i
χ2711111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-11-111-1i−i−ii−iii−i
χ2811111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111-11-1-11−iii−ii−i−ii
χ2911111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-11-111-1−iii−ii−i−ii
χ3011111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111-11-1-11i−i−ii−iii−i
χ3111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-11−iii−i−iii−i
χ3211111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1i−i−iii−i−ii
χ332222222222222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
χ342222222222222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
χ3722222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000-2-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000000000
χ3822222222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000-2-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-222222222-2-2-2-200000000000000000000000000000000-2-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-222222222-2-2-2-200000000000000000000000000000000-2-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000000000
χ412222-2-2-2-22222-2-2-2-222-2-2-2-222-2-222-2-222-2-222-2-20000000000000000000000000000000022000000000000000000000000000000002222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000
χ422222-2-2-2-22222-2-2-2-222-2-2-2-222-2-222-2-222-2-222-2-2000000000000000000000000000000002200000000000000000000000000000000-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-222220000000000000000
χ432222-2-2-2-22222-2-2-2-222-2-2-2-2-2-222-2-222-2-222-2-2220000000000000000000000000000000022000000000000000000000000000000002222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000
χ442222-2-2-2-22222-2-2-2-222-2-2-2-2-2-222-2-222-2-222-2-222000000000000000000000000000000002200000000000000000000000000000000-2-2-2-22222-2-2-2-222222222-2-2-2-22222-2-2-2-20000000000000000
χ452222-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-2222222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ462222-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ472222-2-2-2-22222-2-2-2-2-2-22222-2-22222-2-2-2-22222-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ482222-2-2-2-22222-2-2-2-2-2-22222-2-22222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ492222-2-2-2-2-2-2-2-2222222-2-22222-2-2-2-222-2-22222-2-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ502222-2-2-2-2-2-2-2-2222222-2-22222-2-2-2-222-2-22222-2-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ512222-2-2-2-2-2-2-2-2222222-2-222-2-22222-2-222-2-2-2-2222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ522222-2-2-2-2-2-2-2-2222222-2-222-2-22222-2-222-2-2-2-222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ532222-2-2-2-2-2-2-2-22222-2-222-2-222-2-222-2-2-2-222-2-2220000000000000000000000000000000022000000000000000000000000000000002222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222220000000000000000
χ542222-2-2-2-2-2-2-2-22222-2-222-2-222-2-222-2-2-2-222-2-222000000000000000000000000000000002200000000000000000000000000000000-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-20000000000000000
χ552222-2-2-2-2-2-2-2-22222-2-222-2-2-2-222-2-22222-2-222-2-20000000000000000000000000000000022000000000000000000000000000000002222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-20000000000000000
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χ1292-2-222-2-22−2i2i2i−2i−2i2i2i−2i0000002i−2i2i−2i0000-22-2200001+i−1−i−1−i1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i002ζ−2ζ−2ζ2ζ00002ζ3−2ζ3−2ζ32ζ300002ζ3−2ζ3−2ζ32ζ300002ζ−2ζ−2ζ2ζ0000−222−2−222−2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−222−2−222−20000000000000000
χ1302-2-222-2-22−2i2i2i−2i−2i2i2i−2i0000002i−2i2i−2i0000-22-2200001+i−1−i−1−i1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i00−2ζ2ζ2ζ−2ζ0000−2ζ32ζ32ζ3−2ζ30000−2ζ32ζ32ζ3−2ζ30000−2ζ2ζ2ζ−2ζ00002−2−222−2−22i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i22−2−222−2−220000000000000000
χ1312-2-222-2-22−2i2i2i−2i−2i2i2i−2i0000002i−2i2i−2i0000-22-220000−1−i1+i1+i−1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i002ζ−2ζ−2ζ2ζ00002ζ3−2ζ3−2ζ32ζ300002ζ3−2ζ3−2ζ32ζ300002ζ−2ζ−2ζ2ζ00002−2−222−2−22i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i22−2−222−2−220000000000000000
χ1322-2-222-2-22−2i2i2i−2i−2i2i2i−2i0000002i−2i2i−2i0000-22-220000−1−i1+i1+i−1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i00−2ζ2ζ2ζ−2ζ0000−2ζ32ζ32ζ3−2ζ30000−2ζ32ζ32ζ3−2ζ30000−2ζ2ζ2ζ−2ζ0000−222−2−222−2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−222−2−222−20000000000000000
χ1332-2-222-2-22−2i2i2i−2i−2i2i2i−2i000000−2i2i−2i2i00002-22-200001+i−1−i−1−i1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i002ζ−2ζ−2ζ2ζ00002ζ3−2ζ3−2ζ32ζ30000−2ζ32ζ32ζ3−2ζ30000−2ζ2ζ2ζ−2ζ0000−222−2−222−2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i22−2−222−2−220000000000000000
χ1342-2-222-2-22−2i2i2i−2i−2i2i2i−2i000000−2i2i−2i2i00002-22-200001+i−1−i−1−i1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i00−2ζ2ζ2ζ−2ζ0000−2ζ32ζ32ζ3−2ζ300002ζ3−2ζ3−2ζ32ζ300002ζ−2ζ−2ζ2ζ00002−2−222−2−22i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2−222−2−222−20000000000000000
χ1352-2-222-2-22−2i2i2i−2i−2i2i2i−2i000000−2i2i−2i2i00002-22-20000−1−i1+i1+i−1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i002ζ−2ζ−2ζ2ζ00002ζ3−2ζ3−2ζ32ζ30000−2ζ32ζ32ζ3−2ζ30000−2ζ2ζ2ζ−2ζ00002−2−222−2−22i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2−222−2−222−20000000000000000
χ1362-2-222-2-22−2i2i2i−2i−2i2i2i−2i000000−2i2i−2i2i00002-22-20000−1−i1+i1+i−1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i00−2ζ2ζ2ζ−2ζ0000−2ζ32ζ32ζ3−2ζ300002ζ3−2ζ3−2ζ32ζ300002ζ−2ζ−2ζ2ζ0000−222−2−222−2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i22−2−222−2−220000000000000000
χ1372-2-22-222-22i−2i−2i2i−2i2i2i−2i0000002i−2i−2i2i00002-2-2200001−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i0000002ζ3−2ζ3−2ζ32ζ300002ζ−2ζ−2ζ2ζ00002ζ−2ζ−2ζ2ζ00002ζ3−2ζ3−2ζ32ζ32−2−22−222−2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−222−22−2−220000000000000000
χ1382-2-22-222-22i−2i−2i2i−2i2i2i−2i0000002i−2i−2i2i00002-2-2200001−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i000000−2ζ32ζ32ζ3−2ζ30000−2ζ2ζ2ζ−2ζ0000−2ζ2ζ2ζ−2ζ0000−2ζ32ζ32ζ3−2ζ3−222−22−2−22i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i22−2−22−222−20000000000000000
χ1392-2-22-222-22i−2i−2i2i−2i2i2i−2i0000002i−2i−2i2i00002-2-220000−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i0000002ζ3−2ζ3−2ζ32ζ300002ζ−2ζ−2ζ2ζ00002ζ−2ζ−2ζ2ζ00002ζ3−2ζ3−2ζ32ζ3−222−22−2−22i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i22−2−22−222−20000000000000000
χ1402-2-22-222-22i−2i−2i2i−2i2i2i−2i0000002i−2i−2i2i00002-2-220000−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i000000−2ζ32ζ32ζ3−2ζ30000−2ζ2ζ2ζ−2ζ0000−2ζ2ζ2ζ−2ζ0000−2ζ32ζ32ζ3−2ζ32−2−22−222−2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−222−22−2−220000000000000000
χ1412-2-22-222-22i−2i−2i2i−2i2i2i−2i000000−2i2i2i−2i0000-222-200001−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i0000002ζ3−2ζ3−2ζ32ζ300002ζ−2ζ−2ζ2ζ0000−2ζ2ζ2ζ−2ζ0000−2ζ32ζ32ζ3−2ζ32−2−22−222−2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i22−2−22−222−20000000000000000
χ1422-2-22-222-22i−2i−2i2i−2i2i2i−2i000000−2i2i2i−2i0000-222-200001−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i000000−2ζ32ζ32ζ3−2ζ30000−2ζ2ζ2ζ−2ζ00002ζ−2ζ−2ζ2ζ00002ζ3−2ζ3−2ζ32ζ3−222−22−2−22i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−222−22−2−220000000000000000
χ1432-2-22-222-22i−2i−2i2i−2i2i2i−2i000000−2i2i2i−2i0000-222-20000−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i0000002ζ3−2ζ3−2ζ32ζ300002ζ−2ζ−2ζ2ζ0000−2ζ2ζ2ζ−2ζ0000−2ζ32ζ32ζ3−2ζ3−222−22−2−22i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−222−22−2−220000000000000000
χ1442-2-22-222-22i−2i−2i2i−2i2i2i−2i000000−2i2i2i−2i0000-222-20000−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i000000−2ζ32ζ32ζ3−2ζ30000−2ζ2ζ2ζ−2ζ00002ζ−2ζ−2ζ2ζ00002ζ3−2ζ3−2ζ32ζ32−2−22−222−2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i22−2−22−222−20000000000000000
χ1452-2-22-222-2−2i2i2i−2i2i−2i−2i2i0000002i−2i−2i2i0000-222-200001+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i0000002ζ−2ζ−2ζ2ζ00002ζ3−2ζ3−2ζ32ζ30000−2ζ32ζ32ζ3−2ζ30000−2ζ2ζ2ζ−2ζ−222−22−2−22−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−222−22−2−220000000000000000
χ1462-2-22-222-2−2i2i2i−2i2i−2i−2i2i0000002i−2i−2i2i0000-222-200001+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i000000−2ζ2ζ2ζ−2ζ0000−2ζ32ζ32ζ3−2ζ300002ζ3−2ζ3−2ζ32ζ300002ζ−2ζ−2ζ2ζ2−2−22−222−2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i22−2−22−222−20000000000000000
χ1472-2-22-222-2−2i2i2i−2i2i−2i−2i2i0000002i−2i−2i2i0000-222-20000−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i0000002ζ−2ζ−2ζ2ζ00002ζ3−2ζ3−2ζ32ζ30000−2ζ32ζ32ζ3−2ζ30000−2ζ2ζ2ζ−2ζ2−2−22−222−2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i22−2−22−222−20000000000000000
χ1482-2-22-222-2−2i2i2i−2i2i−2i−2i2i0000002i−2i−2i2i0000-222-20000−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i000000−2ζ2ζ2ζ−2ζ0000−2ζ32ζ32ζ3−2ζ300002ζ3−2ζ3−2ζ32ζ300002ζ−2ζ−2ζ2ζ−222−22−2−22−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−222−22−2−220000000000000000
χ1492-2-22-222-2−2i2i2i−2i2i−2i−2i2i000000−2i2i2i−2i00002-2-2200001+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i0000002ζ−2ζ−2ζ2ζ00002ζ3−2ζ3−2ζ32ζ300002ζ3−2ζ3−2ζ32ζ300002ζ−2ζ−2ζ2ζ−222−22−2−22−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i22−2−22−222−20000000000000000
χ1502-2-22-222-2−2i2i2i−2i2i−2i−2i2i000000−2i2i2i−2i00002-2-2200001+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i000000−2ζ2ζ2ζ−2ζ0000−2ζ32ζ32ζ3−2ζ30000−2ζ32ζ32ζ3−2ζ30000−2ζ2ζ2ζ−2ζ2−2−22−222−2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−222−22−2−220000000000000000
χ1512-2-22-222-2−2i2i2i−2i2i−2i−2i2i000000−2i2i2i−2i00002-2-220000−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i0000002ζ−2ζ−2ζ2ζ00002ζ3−2ζ3−2ζ32ζ300002ζ3−2ζ3−2ζ32ζ300002ζ−2ζ−2ζ2ζ2−2−22−222−2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−222−22−2−220000000000000000
χ1522-2-22-222-2−2i2i2i−2i2i−2i−2i2i000000−2i2i2i−2i00002-2-220000−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i000000−2ζ2ζ2ζ−2ζ0000−2ζ32ζ32ζ3−2ζ30000−2ζ32ζ32ζ3−2ζ30000−2ζ2ζ2ζ−2ζ−222−22−2−22−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i22−2−22−222−20000000000000000

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