Finite Group Databasebeta

← Group #10823376

Character table — Group #10823376

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111111111111222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424
order12222222444444443444444446666666121212121212121212121212121212121212121212121212224444446666888888888888888812121212121212121212121224242424242424242424242424242424242424242424242424242424242424242222444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111-1-1
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-111
χ911111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111
χ1011111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1
χ1111111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-111
χ1211111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1
χ1411111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111
χ1511111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1
χ1611111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ1722222222222222222-2-2-2-2-2-2-2-2222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-22222220000000000000000-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
χ1822222222222222222-2-2-2-2-2-2-2-2222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-200000000000000002222-2-2-2-22222000000000000000000000000000000000000000000000000
χ192222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ202222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111110000000000000000
χ212222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111122222222-2-2-2-2-2-2-2-2111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000
χ222222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2222222221111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ232222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2-2-222-1-1-1-100000000000000001111-1-1-1-111113333−3−3−3−33333−3−3−3−33333−3−3−3−33333−3−3−3−30000000000000000
χ242222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2-2-222-1-1-1-100000000000000001111-1-1-1-11111−3−3−3−33333−3−3−3−33333−3−3−3−33333−3−3−3−333330000000000000000
χ252222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-22222-2-211110000000000000000-1-1-1-11111-1-1-1-13333−3−3−3−33333−3−3−3−3−3−3−3−33333−3−3−3−333330000000000000000
χ262222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-22222-2-211110000000000000000-1-1-1-11111-1-1-1-1−3−3−3−33333−3−3−3−333333333−3−3−3−33333−3−3−3−30000000000000000
χ2722222222-2-2-2-2-2-2-2-222222-2-2-2-22222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222-2-222-2-222220000000000000000-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-222222-2-2-2-22222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-2000000000000000022222222-2-2-2-2000000000000000000000000000000000000000000000000
χ2922222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-1000000000000000011111111-1-1-1-13333−3−3−3−3−3−3−3−333333333−3−3−3−3−3−3−3−333330000000000000000
χ3022222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-1000000000000000011111111-1-1-1-1−3−3−3−333333333−3−3−3−3−3−3−3−333333333−3−3−3−30000000000000000
χ3122222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-2-222-2-22211110000000000000000-1-1-1-1-1-1-1-111113333−3−3−3−3−3−3−3−33333−3−3−3−333333333−3−3−3−30000000000000000
χ3222222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-2-222-2-22211110000000000000000-1-1-1-1-1-1-1-11111−3−3−3−333333333−3−3−3−33333−3−3−3−3−3−3−3−333330000000000000000
χ3322222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-12222-2-2-2-22222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111110000000000000000
χ3422222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-2-2-2-22222-2-2-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000
χ3522222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-2-2-2-2222211112222-2-2-2-2-2-2-2-222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000000000000000
χ3622222222-2-2-2-2-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-2-2-2-222221111-2-2-2-222222222-2-2-2-21111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000
χ37222-2-2-2-222222-2-2-2-220000000022-2-22-2-22222-2-2-2-200000000000000002-200002-222-2-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000022-2-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ38222-2-2-2-222222-2-2-2-220000000022-2-22-2-22222-2-2-2-200000000000000002-200002-222-2-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000022-2-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ39222-2-2-2-222222-2-2-2-220000000022-2-22-2-22222-2-2-2-20000000000000000-220000-22-2-222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000-2-2220000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ40222-2-2-2-222222-2-2-2-220000000022-2-22-2-22222-2-2-2-20000000000000000-220000-22-2-222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000-2-2220000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ41222-2-2-2-222222-2-2-2-2-100000000-1-111-111-1-1-1-111113333−3−3−3−33333−3−3−3−32-200002-2-1-111−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i233−3−3-1-11133−3−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000000000000
χ42222-2-2-2-222222-2-2-2-2-100000000-1-111-111-1-1-1-111113333−3−3−3−33333−3−3−3−32-200002-2-1-111i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i233−3−3-1-11133−3−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000000000000
χ43222-2-2-2-222222-2-2-2-2-100000000-1-111-111-1-1-1-111113333−3−3−3−33333−3−3−3−3-220000-2211-1-1−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−3−33311-1-1−3−333ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000000000000
χ44222-2-2-2-222222-2-2-2-2-100000000-1-111-111-1-1-1-111113333−3−3−3−33333−3−3−3−3-220000-2211-1-1i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−3−33311-1-1−3−333−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000000000000
χ45222-2-2-2-222222-2-2-2-2-100000000-1-111-111-1-1-1-11111−3−3−3−33333−3−3−3−333332-200002-2-1-111−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−3−333-1-111−3−333ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000
χ46222-2-2-2-222222-2-2-2-2-100000000-1-111-111-1-1-1-11111−3−3−3−33333−3−3−3−333332-200002-2-1-111i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−3−333-1-111−3−333−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000
χ47222-2-2-2-222222-2-2-2-2-100000000-1-111-111-1-1-1-11111−3−3−3−33333−3−3−3−33333-220000-2211-1-1−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i233−3−311-1-133−3−3ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000
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χ1232-2-2-2-2222-222-22-2-222-222-22-2-22-2-2-2-2222-222-22-2-22-222-22-2-22-222-22-2-220000000000000000000000000000000000000000000000000000000000000000000000002-20000000000-2200
χ1242-2-2-2-2222-222-22-2-222-222-22-2-22-2-2-2-2222-222-22-2-22-222-22-2-22-222-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000-2200000000002-200
χ1254-444-4-44-44i−4i4i−4i4i−4i4i−4i-24i−4i4i−4i4-44-42-2-2222-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i-22-22-22-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1264-444-4-44-44i−4i4i−4i4i−4i4i−4i-2−4i4i−4i4i-44-442-2-2222-2−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i2-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1274-444-4-44-4−4i4i−4i4i−4i4i−4i4i-24i−4i4i−4i-44-442-2-2222-22i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1284-444-4-44-4−4i4i−4i4i−4i4i−4i4i-2−4i4i−4i4i4-44-42-2-2222-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i-22-22-22-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1294-44-444-4-44i−4i4i−4i−4i4i−4i4i400000000-44-44-44-44i−4i4i−4i−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1304-44-444-4-44i−4i4i−4i−4i4i−4i4i-2000000002-22-22-22−2i2i−2i2i2i−2i2i−2i−2i32i3−2i32i32i3−2i32i3−2i3−2323−232323−2323−230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-44-444-4-44i−4i4i−4i−4i4i−4i4i-2000000002-22-22-22−2i2i−2i2i2i−2i2i−2i2i3−2i32i3−2i3−2i32i3−2i32i323−2323−23−2323−23230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1324-44-444-4-4−4i4i−4i4i4i−4i4i−4i400000000-44-44-44-4−4i4i−4i4i4i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1334-44-444-4-4−4i4i−4i4i4i−4i4i−4i-2000000002-22-22-222i−2i2i−2i−2i2i−2i2i−2i32i3−2i32i32i3−2i32i3−2i323−2323−23−2323−23230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1344-44-444-4-4−4i4i−4i4i4i−4i4i−4i-2000000002-22-22-222i−2i2i−2i−2i2i−2i2i2i3−2i32i3−2i3−2i32i3−2i32i3−2323−232323−2323−230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-444-4-444-4-444-4-44400000000-4-4444-4-44-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1364-4-444-4-444-4-444-4-44-20000000022-2-2-222-222-2-222-223−23−232323−23−2323−232323−23−232323−230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-444-4-444-4-444-4-44-20000000022-2-2-222-222-2-222-2−232323−23−232323−2323−23−232323−23−23230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1384-4-444-4-44-444-4-444-4400000000-4-4444-4-4-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1394-4-444-4-44-444-4-444-4-20000000022-2-2-2222-2-222-2-2223−23−232323−23−232323−23−232323−23−23230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1404-4-444-4-44-444-4-444-4-20000000022-2-2-2222-2-222-2-22−232323−23−232323−23−232323−23−232323−230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1414-4-4-4-44444-4-44-444-4-24-4-444-4-442222-2-2-2-222-22-2-22-222-22-2-222-2-22-222-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1424-4-4-4-44444-4-44-444-4-2-444-4-444-42222-2-2-2-222-22-2-222-2-22-222-2-222-22-2-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1434-4-4-4-4444-444-44-4-44-24-4-44-444-42222-2-2-22-2-22-222-2-222-22-2-22-222-22-2-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1444-4-4-4-4444-444-44-4-44-2-444-44-4-442222-2-2-22-2-22-222-22-2-22-222-22-2-22-222-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.