Finite Group Databasebeta

← Group #10824349

Character table — Group #10824349

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111111111111222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424
order122222224444444434444444466666661212121212121212121212121212121212121212121212124444444488888888888888881212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242222444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111-1-1
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-111
χ911111111-1-1-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1
χ1011111111-1-1-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ1111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1
χ1211111111-1-1-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11111
χ1311111111-1-1-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111
χ1411111111-1-1-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1
χ1511111111-1-1-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ1611111111-1-1-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ1722222222222222222-2-2-2-2-2-2-2-22222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-200000000000000002222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
χ1822222222222222222-2-2-2-2-2-2-2-22222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000
χ192222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ202222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111110000000000000000
χ212222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000
χ222222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ232222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111112222-2-2-2-20000000000000000-1-1-1-11111-1-1-1-111113333−3−3−3−33333−3−3−3−33333−3−3−3−33333−3−3−3−30000000000000000
χ242222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111112222-2-2-2-20000000000000000-1-1-1-11111-1-1-1-11111−3−3−3−33333−3−3−3−33333−3−3−3−33333−3−3−3−333330000000000000000
χ252222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-2-2-2-2222200000000000000001111-1-1-1-11111-1-1-1-13333−3−3−3−33333−3−3−3−3−3−3−3−33333−3−3−3−333330000000000000000
χ262222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-2-2-2-2222200000000000000001111-1-1-1-11111-1-1-1-1−3−3−3−33333−3−3−3−333333333−3−3−3−33333−3−3−3−30000000000000000
χ2722222222-2-2-2-2-2-2-2-22-2-22222-2-22222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-222-2-2-2-22200000000000000002222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-22-2-22222-2-22222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-22222-2-20000000000000000-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ2922222222-2-2-2-2-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-122-2-222-2-22222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111110000000000000000
χ3022222222-2-2-2-2-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-122-2-222-2-2-2-2-2-22222-2-2-2-22222-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000
χ3122222222-2-2-2-2-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-2-222-2-2222222-2-2-2-2-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000000000000000
χ3222222222-2-2-2-2-2-2-2-2-122-2-2-2-222-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-2-222-2-222-2-2-2-222222222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000
χ3322222222-2-2-2-2-2-2-2-2-1-2-22222-2-2-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111122-2-2-2-2220000000000000000-1-1-1-111111111-1-1-1-13333−3−3−3−3−3−3−3−333333333−3−3−3−3−3−3−3−333330000000000000000
χ3422222222-2-2-2-2-2-2-2-2-1-2-22222-2-2-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111122-2-2-2-2220000000000000000-1-1-1-111111111-1-1-1-1−3−3−3−333333333−3−3−3−3−3−3−3−333333333−3−3−3−30000000000000000
χ3522222222-2-2-2-2-2-2-2-2-1-2-22222-2-2-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-2-22222-2-200000000000000001111-1-1-1-1-1-1-1-111113333−3−3−3−3−3−3−3−33333−3−3−3−333333333−3−3−3−30000000000000000
χ3622222222-2-2-2-2-2-2-2-2-1-2-22222-2-2-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-2-22222-2-200000000000000001111-1-1-1-1-1-1-1-11111−3−3−3−333333333−3−3−3−33333−3−3−3−3−3−3−3−333330000000000000000
χ37222-2-2-2-222222-2-2-2-2200000000222-2-2-2-200002222-2-2-2-20000000000002-22-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i222-2-2000022-2-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ38222-2-2-2-222222-2-2-2-2200000000222-2-2-2-200002222-2-2-2-20000000000002-22-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i222-2-2000022-2-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ39222-2-2-2-222222-2-2-2-2200000000222-2-2-2-200002222-2-2-2-2000000000000-22-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2-2-2220000-2-2220000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ40222-2-2-2-222222-2-2-2-2200000000222-2-2-2-200002222-2-2-2-2000000000000-22-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2-2-2220000-2-2220000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ41222-2-2-2-222222-2-2-2-2-100000000-1-1-1111133−3−3-1-1-1-111113333−3−3−3−333−3−32-22-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2-1-11133−3−3-1-11133−3−3ζ5+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
χ42222-2-2-2-222222-2-2-2-2-100000000-1-1-1111133−3−3-1-1-1-111113333−3−3−3−333−3−32-22-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2-1-11133−3−3-1-11133−3−3−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
χ43222-2-2-2-222222-2-2-2-2-100000000-1-1-1111133−3−3-1-1-1-111113333−3−3−3−333−3−3-22-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i211-1-1−3−33311-1-1−3−333ζ5+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
χ44222-2-2-2-222222-2-2-2-2-100000000-1-1-1111133−3−3-1-1-1-111113333−3−3−3−333−3−3-22-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i211-1-1−3−33311-1-1−3−333−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
χ45222-2-2-2-222222-2-2-2-2-100000000-1-1-11111−3−333-1-1-1-11111−3−3−3−33333−3−3332-22-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2-1-111−3−333-1-111−3−333ζ13+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
χ46222-2-2-2-222222-2-2-2-2-100000000-1-1-11111−3−333-1-1-1-11111−3−3−3−33333−3−3332-22-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2-1-111−3−333-1-111−3−333−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
χ47222-2-2-2-222222-2-2-2-2-100000000-1-1-11111−3−333-1-1-1-11111−3−3−3−33333−3−333-22-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i211-1-133−3−311-1-133−3−3ζ13+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
χ48222-2-2-2-222222-2-2-2-2-100000000-1-1-11111−3−333-1-1-1-11111−3−3−3−33333−3−333-22-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i211-1-133−3−311-1-133−3−3−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+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
χ49222-2-2-2-22-2-2-2-22222200000000222-2-2-2-20000-2-2-2-222220000000000002-2-220000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i222-2-20000-2-2220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ50222-2-2-2-22-2-2-2-22222200000000222-2-2-2-20000-2-2-2-222220000000000002-2-220000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i222-2-20000-2-2220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ51222-2-2-2-22-2-2-2-22222200000000222-2-2-2-20000-2-2-2-22222000000000000-222-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2-2-222000022-2-20000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ52222-2-2-2-22-2-2-2-22222200000000222-2-2-2-20000-2-2-2-22222000000000000-222-20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2-2-222000022-2-20000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ53222-2-2-2-22-2-2-2-22222-100000000-1-1-1111133−3−31111-1-1-1-1−3−3−3−3333333−3−32-2-220000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2-1-11133−3−311-1-1−3−333ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000000000000
χ54222-2-2-2-22-2-2-2-22222-100000000-1-1-1111133−3−31111-1-1-1-1−3−3−3−3333333−3−32-2-220000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2-1-11133−3−311-1-1−3−333−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000000000000
χ55222-2-2-2-22-2-2-2-22222-100000000-1-1-1111133−3−31111-1-1-1-1−3−3−3−3333333−3−3-222-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i211-1-1−3−333-1-11133−3−3ζ5+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+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000000000000
χ56222-2-2-2-22-2-2-2-22222-100000000-1-1-1111133−3−31111-1-1-1-1−3−3−3−3333333−3−3-222-20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i211-1-1−3−333-1-11133−3−3−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−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000000000000
χ57222-2-2-2-22-2-2-2-22222-100000000-1-1-11111−3−3331111-1-1-1-13333−3−3−3−3−3−3332-2-220000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2-1-111−3−33311-1-133−3−3ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000
χ58222-2-2-2-22-2-2-2-22222-100000000-1-1-11111−3−3331111-1-1-1-13333−3−3−3−3−3−3332-2-220000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2-1-111−3−33311-1-133−3−3−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000
χ59222-2-2-2-22-2-2-2-22222-100000000-1-1-11111−3−3331111-1-1-1-13333−3−3−3−3−3−333-222-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i211-1-133−3−3-1-111−3−333ζ13+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+ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000
χ60222-2-2-2-22-2-2-2-22222-100000000-1-1-11111−3−3331111-1-1-1-13333−3−3−3−3−3−333-222-20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i211-1-133−3−3-1-111−3−333−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ13+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+ζ70000000000000000
χ6122-222-2-2-22i2i−2i−2i2i2i−2i−2i2000000002-2-222-2-200002i2i−2i−2i2i2i−2i−2i00000000000000002-22i−2i2−22−2−i2i2−i2i22−22−2−i2i2−i2i200002-22-200002i−2i2i−2i2−22−22−22−2−i2i2−i2i2−i2i2−i2i22−22−22−22−2−i2i2−i2i2−i2i2−i2i20000000000000000
χ6222-222-2-2-22i2i−2i−2i2i2i−2i−2i2000000002-2-222-2-200002i2i−2i−2i2i2i−2i−2i00000000000000002-22i−2i−22−22i2−i2i2−i2−22−22i2−i2i2−i200002-22-200002i−2i2i−2i−22−22−22−22i2−i2i2−i2i2−i2i2−i2−22−22−22−22i2−i2i2−i2i2−i2i2−i20000000000000000
χ6322-222-2-2-22i2i−2i−2i2i2i−2i−2i2000000002-2-222-2-200002i2i−2i−2i2i2i−2i−2i0000000000000000-22−2i2i2−22−2−i2i2−i2i2−22−22i2−i2i2−i20000-22-220000−2i2i−2i2i2−22−22−22−2−i2i2−i2i2−i2i2−i2i2−22−22−22−22i2−i2i2−i2i2−i2i2−i20000000000000000
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χ6522-222-2-2-22i2i−2i−2i2i2i−2i−2i-100000000-111-1-1113−33−3−i−iii−i−iii−i3−i3i3i3−i3−i3i3i33−33−300002-22i−2i2−22−2−i2i2−i2i22−22−2−i2i2−i2i23−33−3-11-11−i3i3−i3i3−ii−iiζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ230000000000000000
χ6622-222-2-2-22i2i−2i−2i2i2i−2i−2i-100000000-111-1-1113−33−3−i−iii−i−iii−i3−i3i3i3−i3−i3i3i33−33−300002-22i−2i−22−22i2−i2i2−i2−22−22i2−i2i2−i23−33−3-11-11−i3i3−i3i3−ii−ii−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ230000000000000000
χ6722-222-2-2-22i2i−2i−2i2i2i−2i−2i-100000000-111-1-1113−33−3−i−iii−i−iii−i3−i3i3i3−i3−i3i3i33−33−30000-22−2i2i2−22−2−i2i2−i2i2−22−22i2−i2i2−i2−33−331-11-1i3−i3i3−i3i−ii−iζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ230000000000000000
χ6822-222-2-2-22i2i−2i−2i2i2i−2i−2i-100000000-111-1-1113−33−3−i−iii−i−iii−i3−i3i3i3−i3−i3i3i33−33−30000-22−2i2i−22−22i2−i2i2−i22−22−2−i2i2−i2i2−33−331-11-1i3−i3i3−i3i−ii−i−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ230000000000000000
χ6922-222-2-2-22i2i−2i−2i2i2i−2i−2i-100000000-111-1-111−33−33−i−iii−i−iiii3i3−i3−i3i3i3−i3−i3−33−3300002-22i−2i2−22−2−i2i2−i2i22−22−2−i2i2−i2i2−33−33-11-11i3−i3i3−i3−ii−iiζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ70000000000000000
χ7022-222-2-2-22i2i−2i−2i2i2i−2i−2i-100000000-111-1-111−33−33−i−iii−i−iiii3i3−i3−i3i3i3−i3−i3−33−3300002-22i−2i−22−22i2−i2i2−i2−22−22i2−i2i2−i2−33−33-11-11i3−i3i3−i3−ii−ii−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ70000000000000000
χ7122-222-2-2-22i2i−2i−2i2i2i−2i−2i-100000000-111-1-111−33−33−i−iii−i−iiii3i3−i3−i3i3i3−i3−i3−33−330000-22−2i2i2−22−2−i2i2−i2i2−22−22i2−i2i2−i23−33−31-11-1−i3i3−i3i3i−ii−iζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ70000000000000000
χ7222-222-2-2-22i2i−2i−2i2i2i−2i−2i-100000000-111-1-111−33−33−i−iii−i−iiii3i3−i3−i3i3i3−i3−i3−33−330000-22−2i2i−22−22i2−i2i2−i22−22−2−i2i2−i2i23−33−31-11-1−i3i3−i3i3i−ii−i−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ70000000000000000
χ7322-222-2-2-2−2i−2i2i2i−2i−2i2i2i2000000002-2-222-2-20000−2i−2i2i2i−2i−2i2i2i00000000000000002-2−2i2i2−22−2i2−i2i2−i22−22−2i2−i2i2−i200002-22-20000−2i2i−2i2i2−22−22−22−2i2−i2i2−i2i2−i2i2−i22−22−22−22−2i2−i2i2−i2i2−i2i2−i20000000000000000
χ7422-222-2-2-2−2i−2i2i2i−2i−2i2i2i2000000002-2-222-2-20000−2i−2i2i2i−2i−2i2i2i00000000000000002-2−2i2i−22−22−i2i2−i2i2−22−22−i2i2−i2i200002-22-20000−2i2i−2i2i−22−22−22−22−i2i2−i2i2−i2i2−i2i2−22−22−22−22−i2i2−i2i2−i2i2−i2i20000000000000000
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χ1254-444-44-4-44i−4i4i−4i4i−4i4i−4i-24-44i−4i4i−4i-442-22-22-22-222-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i2-2-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1264-444-44-4-44i−4i4i−4i4i−4i4i−4i-2-44−4i4i−4i4i4-42-22-22-222-2-22−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i-222-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1274-444-44-4-4−4i4i−4i4i−4i4i−4i4i-24-4−4i4i−4i4i-442-22-22-22-222-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2-2-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1284-444-44-4-4−4i4i−4i4i−4i4i−4i4i-2-444i−4i4i−4i4-42-22-22-222-2-222i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i-222-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1294-44-44-44-44i−4i4i−4i−4i4i−4i4i400000000-44-4-44-4400004i−4i4i−4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1304-44-44-44-44i−4i4i−4i−4i4i−4i4i-2000000002-222-22-223−2323−23−2i2i−2i2i2i−2i2i−2i2i3−2i32i3−2i3−2i32i3−2i32i3−2323−23230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-44-44-44-44i−4i4i−4i−4i4i−4i4i-2000000002-222-22-2−2323−2323−2i2i−2i2i2i−2i2i−2i−2i32i3−2i32i32i3−2i32i3−2i323−2323−230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1324-44-44-44-4−4i4i−4i4i4i−4i4i−4i400000000-44-4-44-440000−4i4i−4i4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1334-44-44-44-4−4i4i−4i4i4i−4i4i−4i-2000000002-222-22-223−2323−232i−2i2i−2i−2i2i−2i2i−2i32i3−2i32i32i3−2i32i3−2i3−2323−23230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1344-44-44-44-4−4i4i−4i4i4i−4i4i−4i-2000000002-222-22-2−2323−23232i−2i2i−2i−2i2i−2i2i2i3−2i32i3−2i3−2i32i3−2i32i323−2323−230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-44-4-4444-4-444-4-44400000000-4-444-4-4400004-4-444-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1384-4-44-4-444-444-4-444-4400000000-4-444-4-440000-444-4-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1404-4-44-4-444-444-4-444-4-20000000022-2-222-2−23−2323232-2-222-2-22−232323−23−232323−232323−23−230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1434-4-4-444-44-444-44-4-44-244-444-4-4-422-22-2-22-2-2-2-22-2-22-222-2-222-22-2-2222220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1444-4-4-444-44-444-44-4-44-2-4-44-4-444422-22-2-2222222-2-22-222-22-2-22-222-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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