Finite Group Databasebeta

← Group #11771473

Character table — Group #11771473

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222244444444444488888888888888881212121224242424242411112222224444444444448888888888888888121212122424242424241111222222444444444444888888888888888812121212242424242424
order1222223666444444661212121288881212121224242424242424244444448888366666366612121212121266121212122424242412121212242424242424242412121212121224242424366666366612121212121266121212122424242412121212242424242424242412121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1ii−i−i111111111111-1-1-1-111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1ii−i−i111111111111-1-1-1-111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1ii−i−i
χ6111111111111-1-1-1-111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i-1-1-1-111−i−iii111111111111-1-1-1-111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i-1-1-1-111−i−iii111111111111-1-1-1-111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i-1-1-1-111−i−iii
χ7111111111111-1-1-1-111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1−i−iii111111111111-1-1-1-111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1−i−iii111111111111-1-1-1-111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1−i−iii
χ8111111111111-1-1-1-111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii-1-1-1-111ii−i−i111111111111-1-1-1-111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii-1-1-1-111ii−i−i111111111111-1-1-1-111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii-1-1-1-111ii−i−i
χ91-11-1-111-11-11-1i−ii−i1-1ii−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1311-1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-11-1-111-11-11-1i−ii−i1-1ii−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1311-1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-11-1-111-11-11-1i−ii−i1-1ii−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1311-1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ101-11-1-111-11-11-1i−ii−i1-1ii−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-1-111−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-11-1-111-11-11-1i−ii−i1-1ii−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-1-111−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-11-1-111-11-11-1i−ii−i1-1ii−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-1-111−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ111-11-1-111-11-11-1i−ii−i1-1ii−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1311-1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-11-1-111-11-11-1i−ii−i1-1ii−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1311-1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-11-1-111-11-11-1i−ii−i1-1ii−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1311-1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ121-11-1-111-11-11-1i−ii−i1-1ii−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-1-111−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-11-1-111-11-11-1i−ii−i1-1ii−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-1-111−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-11-1-111-11-11-1i−ii−i1-1ii−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-1-111−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ131-11-1-111-11-11-1−ii−ii1-1−i−iii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ2311-1-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-11-1-111-11-11-1−ii−ii1-1−i−iii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ2311-1-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-11-1-111-11-11-1−ii−ii1-1−i−iii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ2311-1-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ141-11-1-111-11-11-1−ii−ii1-1−i−iii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-1-111i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-11-1-111-11-11-1−ii−ii1-1−i−iii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-1-111i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-11-1-111-11-11-1−ii−ii1-1−i−iii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-1-111i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ151-11-1-111-11-11-1−ii−ii1-1−i−iiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ2311-1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-11-1-111-11-11-1−ii−ii1-1−i−iiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ2311-1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-11-1-111-11-11-1−ii−ii1-1−i−iiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ2311-1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ161-11-1-111-11-11-1−ii−ii1-1−i−iiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-1-111i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-11-1-111-11-11-1−ii−ii1-1−i−iiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-1-111i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-11-1-111-11-11-1−ii−ii1-1−i−iiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-1-111i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ172222222222-2-222-2-22222220000-2-2-2-20000000000000000002222222222-2-222-2-22222220000-2-2-2-20000000000000000002222222222-2-222-2-22222220000-2-2-2-2000000000000000000
χ182222222222-2-2-2-22222-2-2-2-20000-2-2220000000000000000002222222222-2-2-2-22222-2-2-2-20000-2-2220000000000000000002222222222-2-2-2-22222-2-2-2-20000-2-222000000000000000000
χ19222222-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000222222-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000222222-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ20222222-1-1-1-1222222-1-1-1-1-1-1-2-2-2-2-1-1-1-1111111110000000000222222-1-1-1-1222222-1-1-1-1-1-1-2-2-2-2-1-1-1-1111111110000000000222222-1-1-1-1222222-1-1-1-1-1-1-2-2-2-2-1-1-1-1111111110000000000
χ21222222-1-1-1-122-2-2-2-2-1-111112i2i−2i−2i-1-111−i−i−i−iiiii0000000000222222-1-1-1-122-2-2-2-2-1-111112i2i−2i−2i-1-111−i−i−i−iiiii0000000000222222-1-1-1-122-2-2-2-2-1-111112i2i−2i−2i-1-111−i−i−i−iiiii0000000000
χ22222222-1-1-1-122-2-2-2-2-1-11111−2i−2i2i2i-1-111iiii−i−i−i−i0000000000222222-1-1-1-122-2-2-2-2-1-11111−2i−2i2i2i-1-111iiii−i−i−i−i0000000000222222-1-1-1-122-2-2-2-2-1-11111−2i−2i2i2i-1-111iiii−i−i−i−i0000000000
χ23222222-1-1-1-1-2-222-2-2-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i30000000000222222-1-1-1-1-2-222-2-2-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i30000000000222222-1-1-1-1-2-222-2-2-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i30000000000
χ24222222-1-1-1-1-2-222-2-2-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i30000000000222222-1-1-1-1-2-222-2-2-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i30000000000222222-1-1-1-1-2-222-2-2-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i30000000000
χ25222222-1-1-1-1-2-2-2-222-1-11111000011-1-13−33−3−33−330000000000222222-1-1-1-1-2-2-2-222-1-11111000011-1-13−33−3−33−330000000000222222-1-1-1-1-2-2-2-222-1-11111000011-1-13−33−3−33−330000000000
χ26222222-1-1-1-1-2-2-2-222-1-11111000011-1-1−33−333−33−30000000000222222-1-1-1-1-2-2-2-222-1-11111000011-1-1−33−333−33−30000000000222222-1-1-1-1-2-2-2-222-1-11111000011-1-1−33−333−33−30000000000
χ272-22-2-222-22-2-222i−2i−2i2i2-22i2i−2i−2i0000-22−2i2i0000000000000000002-22-2-222-22-2-222i−2i−2i2i2-22i2i−2i−2i0000-22−2i2i0000000000000000002-22-2-222-22-2-222i−2i−2i2i2-22i2i−2i−2i0000-22−2i2i000000000000000000
χ282-22-2-222-22-2-22−2i2i2i−2i2-2−2i−2i2i2i0000-222i−2i0000000000000000002-22-2-222-22-2-22−2i2i2i−2i2-2−2i−2i2i2i0000-222i−2i0000000000000000002-22-2-222-22-2-22−2i2i2i−2i2-2−2i−2i2i2i0000-222i−2i000000000000000000
χ292-22-2-22-11-112-22i−2i2i−2i-11−i−iii2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-11−ii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1300000000002-22-2-22-11-112-22i−2i2i−2i-11−i−iii2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-11−ii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1300000000002-22-2-22-11-112-22i−2i2i−2i-11−i−iii2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-11−ii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ130000000000
χ302-22-2-22-11-112-22i−2i2i−2i-11−i−iii−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13-11−iiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1300000000002-22-2-22-11-112-22i−2i2i−2i-11−i−iii−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13-11−iiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1300000000002-22-2-22-11-112-22i−2i2i−2i-11−i−iii−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13-11−iiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ130000000000
χ312-22-2-22-11-112-2−2i2i−2i2i-11ii−i−i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23-11i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ2300000000002-22-2-22-11-112-2−2i2i−2i2i-11ii−i−i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23-11i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ2300000000002-22-2-22-11-112-2−2i2i−2i2i-11ii−i−i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23-11i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ230000000000
χ322-22-2-22-11-112-2−2i2i−2i2i-11ii−i−i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23-11i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ2300000000002-22-2-22-11-112-2−2i2i−2i2i-11ii−i−i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23-11i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ2300000000002-22-2-22-11-112-2−2i2i−2i2i-11ii−i−i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23-11i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ230000000000
χ332-22-2-22-11-11-222i−2i−2i2i-11−i−iii00001-1i−i−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ1300000000002-22-2-22-11-11-222i−2i−2i2i-11−i−iii00001-1i−i−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ1300000000002-22-2-22-11-11-222i−2i−2i2i-11−i−iii00001-1i−i−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ130000000000
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χ662222222222-2-2-2-22222-2-2-2-20000-2-222000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300001−i31−i3−1+i3−1+i3000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300001+i31+i3−1−i3−1−i3000000000000000000
χ67222222-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000
χ68222222-1-1-1-1222222-1-1-1-1-1-1-2-2-2-2-1-1-1-1111111110000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000
χ69222222-1-1-1-122-2-2-2-2-1-111112i2i−2i−2i-1-111−i−i−i−iiiii0000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i322ζ142ζ14−2ζ14−2ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ140000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i322ζ222ζ22−2ζ22−2ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ220000000000
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χ72222222-1-1-1-1-2-222-2-2-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i30000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i32−3−i323+i32−3−i323+i32−3−i323+i32−3−i323+i320000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i323−i32−3+i323−i32−3+i323−i32−3+i323−i32−3+i320000000000
χ73222222-1-1-1-1-2-2-2-222-1-11111000011-1-13−33−3−33−330000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i320000−1+i32−1+i321−i321−i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ220000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i320000−1−i32−1−i321+i321+i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ220000000000
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χ1142222222222-2-2-2-22222-2-2-2-20000-2-222000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300001+i31+i3−1−i3−1−i3000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300001−i31−i3−1+i3−1+i3000000000000000000
χ115222222-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000
χ116222222-1-1-1-1222222-1-1-1-1-1-1-2-2-2-2-1-1-1-1111111110000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000
χ117222222-1-1-1-122-2-2-2-2-1-111112i2i−2i−2i-1-111−i−i−i−iiiii0000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i322ζ222ζ22−2ζ22−2ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ220000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i322ζ142ζ14−2ζ14−2ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ140000000000
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χ119222222-1-1-1-1-2-222-2-2-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i30000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i32−3+i323−i32−3+i323−i32−3+i323−i32−3+i323−i320000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i323+i32−3−i323+i32−3−i323+i32−3−i323+i32−3−i320000000000
χ120222222-1-1-1-1-2-222-2-2-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i30000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i323−i32−3+i323−i32−3+i323−i32−3+i323−i32−3+i320000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i32−3−i323+i32−3−i323+i32−3−i323+i32−3−i323+i320000000000
χ121222222-1-1-1-1-2-2-2-222-1-11111000011-1-13−33−3−33−330000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i320000−1−i32−1−i321+i321+i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ220000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i320000−1+i32−1+i321−i321−i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ220000000000
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χ1292-22-2-22-11-11-222i−2i−2i2i-11−i−iii00001-1i−i−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ130000000000−1−i31+i3−1−i31+i31+i3−1−i31+i32−1−i321+i32−1−i321+i3−1−i32ζ22−2ζ22−2ζ222ζ221+i32−1−i32−ζ22−ζ22ζ22ζ220000−1−i321+i32ζ22−ζ22−ζ7−2ζ23ζ7+2ζ23ζ7+2ζ23−ζ7−2ζ232ζ5+ζ13−2ζ5−ζ13−2ζ5−ζ132ζ5+ζ130000000000−1+i31−i3−1+i31−i31−i3−1+i31−i32−1+i321−i32−1+i321−i3−1+i32ζ14−2ζ14−2ζ142ζ141−i32−1+i32−ζ14−ζ14ζ14ζ140000−1+i321−i32ζ14−ζ142ζ7+ζ23−2ζ7−ζ23−2ζ7−ζ232ζ7+ζ23−ζ5−2ζ13ζ5+2ζ13ζ5+2ζ13−ζ5−2ζ130000000000
χ1302-22-2-22-11-11-222i−2i−2i2i-11−i−iii00001-1i−iζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ130000000000−1−i31+i3−1−i31+i31+i3−1−i31+i32−1−i321+i32−1−i321+i3−1−i32ζ22−2ζ22−2ζ222ζ221+i32−1−i32−ζ22−ζ22ζ22ζ220000−1−i321+i32ζ22−ζ22ζ7+2ζ23−ζ7−2ζ23−ζ7−2ζ23ζ7+2ζ23−2ζ5−ζ132ζ5+ζ132ζ5+ζ13−2ζ5−ζ130000000000−1+i31−i3−1+i31−i31−i3−1+i31−i32−1+i321−i32−1+i321−i3−1+i32ζ14−2ζ14−2ζ142ζ141−i32−1+i32−ζ14−ζ14ζ14ζ140000−1+i321−i32ζ14−ζ14−2ζ7−ζ232ζ7+ζ232ζ7+ζ23−2ζ7−ζ23ζ5+2ζ13−ζ5−2ζ13−ζ5−2ζ13ζ5+2ζ130000000000
χ1312-22-2-22-11-11-22−2i2i2i−2i-11ii−i−i00001-1−iiζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ230000000000−1−i31+i3−1−i31+i31+i3−1−i31+i32−1−i321+i32−1−i321+i3−1−i3−2ζ222ζ222ζ22−2ζ221+i32−1−i32ζ22ζ22−ζ22−ζ220000−1−i321+i32−ζ22ζ22−2ζ5−ζ132ζ5+ζ132ζ5+ζ13−2ζ5−ζ13ζ7+2ζ23−ζ7−2ζ23−ζ7−2ζ23ζ7+2ζ230000000000−1+i31−i3−1+i31−i31−i3−1+i31−i32−1+i321−i32−1+i321−i3−1+i3−2ζ142ζ142ζ14−2ζ141−i32−1+i32ζ14ζ14−ζ14−ζ140000−1+i321−i32−ζ14ζ14ζ5+2ζ13−ζ5−2ζ13−ζ5−2ζ13ζ5+2ζ13−2ζ7−ζ232ζ7+ζ232ζ7+ζ23−2ζ7−ζ230000000000
χ1322-22-2-22-11-11-22−2i2i2i−2i-11ii−i−i00001-1−ii−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ230000000000−1−i31+i3−1−i31+i31+i3−1−i31+i32−1−i321+i32−1−i321+i3−1−i3−2ζ222ζ222ζ22−2ζ221+i32−1−i32ζ22ζ22−ζ22−ζ220000−1−i321+i32−ζ22ζ222ζ5+ζ13−2ζ5−ζ13−2ζ5−ζ132ζ5+ζ13−ζ7−2ζ23ζ7+2ζ23ζ7+2ζ23−ζ7−2ζ230000000000−1+i31−i3−1+i31−i31−i3−1+i31−i32−1+i321−i32−1+i321−i3−1+i3−2ζ142ζ142ζ14−2ζ141−i32−1+i32ζ14ζ14−ζ14−ζ140000−1+i321−i32−ζ14ζ14−ζ5−2ζ13ζ5+2ζ13ζ5+2ζ13−ζ5−2ζ132ζ7+ζ23−2ζ7−ζ23−2ζ7−ζ232ζ7+ζ230000000000
χ1334444-4-44444000000-4-4000000000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−2−2i3−2−2i3−2−2i3−2−2i30000002+2i32+2i3000000000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−2+2i3−2+2i3−2+2i3−2+2i30000002−2i32−2i3000000000000000000000000000000
χ1344444-4-4-2-2-2-200000022−2i32i3−2i32i300000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i31+i31+i31+i3000000−1−i3−1−i3−3+i33−i3−3+i33−i300000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i31−i31−i31−i3000000−1+i3−1+i33+i3−3−i33+i3−3−i300000000000000000000000000
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χ13644-4-40044-4-400000000000000000000000000002-22-2000000−2−2i3−2−2i32+2i32+2i300−2−2i3−2−2i32+2i32+2i30000000000000000000000000000−1−i31+i3−1−i31+i3000000−2+2i3−2+2i32−2i32−2i300−2+2i3−2+2i32−2i32−2i30000000000000000000000000000−1+i31−i3−1+i31−i3000000
χ13744-4-40044-4-40000000000000000000000000000-22-22000000−2−2i3−2−2i32+2i32+2i300−2−2i3−2−2i32+2i32+2i300000000000000000000000000001+i3−1−i31+i3−1−i3000000−2+2i3−2+2i32−2i32−2i300−2+2i3−2+2i32−2i32−2i300000000000000000000000000001−i3−1+i31−i3−1+i3000000
χ1384-44-44-44-44-4000000-44000000000000000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i32+2i3−2−2i32+2i3−2−2i32+2i30000002+2i3−2−2i3000000000000000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i32−2i3−2+2i32−2i3−2+2i32−2i30000002−2i3−2+2i3000000000000000000000000000000
χ1394-44-44-4-22-220000002-223−23−232300000000000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i31+i3−1−i3000000−1−i31+i34ζ14+2ζ22−4ζ14−2ζ22−4ζ14−2ζ224ζ14+2ζ2200000000000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i31−i3−1+i3000000−1+i31−i3−2ζ14−4ζ222ζ14+4ζ222ζ14+4ζ22−2ζ14−4ζ2200000000000000000000000000
χ1404-44-44-4-22-220000002-2−232323−2300000000000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i31+i3−1−i3000000−1−i31+i3−4ζ14−2ζ224ζ14+2ζ224ζ14+2ζ22−4ζ14−2ζ2200000000000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i31−i3−1+i3000000−1+i31−i32ζ14+4ζ22−2ζ14−4ζ22−2ζ14−4ζ222ζ14+4ζ2200000000000000000000000000
χ1414-4-44004-4-4400000000000000000000000000002-2-22000000−2−2i32+2i32+2i3−2−2i300−2−2i32+2i32+2i3−2−2i30000000000000000000000000000−1−i31+i31+i3−1−i3000000−2+2i32−2i32−2i3−2+2i300−2+2i32−2i32−2i3−2+2i30000000000000000000000000000−1+i31−i31−i3−1+i3000000
χ1424-4-44004-4-440000000000000000000000000000-222-2000000−2−2i32+2i32+2i3−2−2i300−2−2i32+2i32+2i3−2−2i300000000000000000000000000001+i3−1−i3−1−i31+i3000000−2+2i32−2i32−2i3−2+2i300−2+2i32−2i32−2i3−2+2i300000000000000000000000000001−i3−1+i3−1+i31−i3000000
χ14388-8-800-4-44400000000000000000000000000000000000000−4−4i3−4−4i34+4i34+4i3002+2i32+2i3−2−2i3−2−2i300000000000000000000000000000000000000−4+4i3−4+4i34−4i34−4i3002−2i32−2i3−2+2i3−2+2i300000000000000000000000000000000000000
χ1448-8-8800-444-400000000000000000000000000000000000000−4−4i34+4i34+4i3−4−4i3002+2i3−2−2i3−2−2i32+2i300000000000000000000000000000000000000−4+4i34−4i34−4i3−4+4i3002−2i3−2+2i3−2+2i32−2i300000000000000000000000000000000000000

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