Finite Group Databasebeta

← Group #72513

Character table — Group #72513

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111111111111111144444444444444444444444444441111111111111111444444444444444444444444444411111111111111114444444444444444444444444444
order12222222444444442244444444448888888888888888366666661212121212121212661212121212121212121224242424242424242424242424242424366666661212121212121212661212121212121212121224242424242424242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ1111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ1211111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ17222-2-22-2-22222-2-2-2-22-22-2000000000000000000000000222-2-22-2-22222-2-2-2-22-22-2000000000000000000000000222-2-22-2-22222-2-2-2-22-22-2000000000000000000000000
χ18222-2-22-2-22222-2-2-2-2-22-22000000000000000000000000222-2-22-2-22222-2-2-2-2-22-22000000000000000000000000222-2-22-2-22222-2-2-2-2-22-22000000000000000000000000
χ19222-2-22-2-2-2-2-2-222222-2-22000000000000000000000000222-2-22-2-2-2-2-2-222222-2-22000000000000000000000000222-2-22-2-2-2-2-2-222222-2-22000000000000000000000000
χ20222-2-22-2-2-2-2-2-22222-222-2000000000000000000000000222-2-22-2-2-2-2-2-22222-222-2000000000000000000000000222-2-22-2-2-2-2-2-22222-222-2000000000000000000000000
χ2122-22-2-22-22i2i−2i−2i2i2i−2i−2i0000000000000000000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ2322-22-2-22-22i2i−2i−2i2i2i−2i−2i0000000000000000000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ2322-22-2-22-22i2i−2i−2i2i2i−2i−2i0000000000000000000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23
χ2222-22-2-22-22i2i−2i−2i2i2i−2i−2i000000000000000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ2322-22-2-22-22i2i−2i−2i2i2i−2i−2i000000000000000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ2322-22-2-22-22i2i−2i−2i2i2i−2i−2i000000000000000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23
χ2322-22-2-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ1322-22-2-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ1322-22-2-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13
χ2422-22-2-22-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ1322-22-2-22-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ1322-22-2-22-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13
χ2522-2-22-2-222i2i−2i−2i−2i−2i2i2i000000000000000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000022-2-22-2-222i2i−2i−2i−2i−2i2i2i000000000000000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000022-2-22-2-222i2i−2i−2i−2i−2i2i2i000000000000000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ130000
χ2622-2-22-2-222i2i−2i−2i−2i−2i2i2i00000000000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000022-2-22-2-222i2i−2i−2i−2i−2i2i2i00000000000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000022-2-22-2-222i2i−2i−2i−2i−2i2i2i00000000000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000
χ2722-2-22-2-22−2i−2i2i2i2i2i−2i−2i000000000000000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000022-2-22-2-22−2i−2i2i2i2i2i−2i−2i000000000000000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000022-2-22-2-22−2i−2i2i2i2i2i−2i−2i000000000000000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000
χ2822-2-22-2-22−2i−2i2i2i2i2i−2i−2i00000000000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000022-2-22-2-22−2i−2i2i2i2i2i−2i−2i00000000000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000022-2-22-2-22−2i−2i2i2i2i2i−2i−2i00000000000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000
χ292-222-2-2-222i−2i2i−2i2i−2i2i−2i00000000000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000002-222-2-2-222i−2i2i−2i2i−2i2i−2i00000000000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000002-222-2-2-222i−2i2i−2i2i−2i2i−2i00000000000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000
χ302-222-2-2-222i−2i2i−2i2i−2i2i−2i0000000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000002-222-2-2-222i−2i2i−2i2i−2i2i−2i0000000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000002-222-2-2-222i−2i2i−2i2i−2i2i−2i0000000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000
χ312-222-2-2-22−2i2i−2i2i−2i2i−2i2i00000000000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000002-222-2-2-22−2i2i−2i2i−2i2i−2i2i00000000000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000002-222-2-2-22−2i2i−2i2i−2i2i−2i2i00000000000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000
χ322-222-2-2-22−2i2i−2i2i−2i2i−2i2i0000000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000002-222-2-2-22−2i2i−2i2i−2i2i−2i2i0000000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000002-222-2-2-22−2i2i−2i2i−2i2i−2i2i0000000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000
χ332-22-22-22-22i−2i2i−2i−2i2i−2i2i0000000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000002-22-22-22-22i−2i2i−2i−2i2i−2i2i0000000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000002-22-22-22-22i−2i2i−2i−2i2i−2i2i0000000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000
χ342-22-22-22-22i−2i2i−2i−2i2i−2i2i000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000002-22-22-22-22i−2i2i−2i−2i2i−2i2i000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000002-22-22-22-22i−2i2i−2i−2i2i−2i2i000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000
χ352-22-22-22-2−2i2i−2i2i2i−2i2i−2i0000000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000002-22-22-22-2−2i2i−2i2i2i−2i2i−2i0000000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000002-22-22-22-2−2i2i−2i2i2i−2i2i−2i0000000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000
χ362-22-22-22-2−2i2i−2i2i2i−2i2i−2i000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000002-22-22-22-2−2i2i−2i2i2i−2i2i−2i000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000002-22-22-22-2−2i2i−2i2i2i−2i2i−2i000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000
χ372-2-2222-2-22-2-222-2-2200002i−2i2i−2i000000000000000000002-2-2222-2-22-2-222-2-2200002i−2i2i−2i000000000000000000002-2-2222-2-22-2-222-2-2200002i−2i2i−2i00000000000000000000
χ382-2-2222-2-22-2-222-2-220000−2i2i−2i2i000000000000000000002-2-2222-2-22-2-222-2-220000−2i2i−2i2i000000000000000000002-2-2222-2-22-2-222-2-220000−2i2i−2i2i00000000000000000000
χ392-2-2222-2-2-222-2-222-200002i−2i−2i2i000000000000000000002-2-2222-2-2-222-2-222-200002i−2i−2i2i000000000000000000002-2-2222-2-2-222-2-222-200002i−2i−2i2i00000000000000000000
χ402-2-2222-2-2-222-2-222-20000−2i2i2i−2i000000000000000000002-2-2222-2-2-222-2-222-20000−2i2i2i−2i000000000000000000002-2-2222-2-2-222-2-222-20000−2i2i2i−2i00000000000000000000
χ412-2-2-2-22222-2-22-222-2000000002-22-200000000000000002-2-2-2-22222-2-22-222-2000000002-22-200000000000000002-2-2-2-22222-2-22-222-2000000002-22-20000000000000000
χ422-2-2-2-22222-2-22-222-200000000-22-2200000000000000002-2-2-2-22222-2-22-222-200000000-22-2200000000000000002-2-2-2-22222-2-22-222-200000000-22-220000000000000000
χ432-2-2-2-2222-222-22-2-22000000002-2-2200000000000000002-2-2-2-2222-222-22-2-22000000002-2-2200000000000000002-2-2-2-2222-222-22-2-22000000002-2-220000000000000000
χ442-2-2-2-2222-222-22-2-2200000000-222-200000000000000002-2-2-2-2222-222-22-2-2200000000-222-200000000000000002-2-2-2-2222-222-22-2-2200000000-222-20000000000000000
χ4511111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ461111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ4711111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ4811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
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χ9911111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14
χ10011111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14
χ10111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14
χ10211111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14
χ10311111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14
χ10411111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14
χ105222-2-22-2-22222-2-2-2-22-22-2000000000000000000000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i3−1−i31+i3000000000000000000000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i3−1+i31−i3000000000000000000000000
χ106222-2-22-2-22222-2-2-2-2-22-22000000000000000000000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i31+i3−1−i3000000000000000000000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i31−i3−1+i3000000000000000000000000
χ107222-2-22-2-2-2-2-2-222222-2-22000000000000000000000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3000000000000000000000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3000000000000000000000000
χ108222-2-22-2-2-2-2-2-22222-222-2000000000000000000000000−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i3000000000000000000000000−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i3000000000000000000000000
χ10922-22-2-22-22i2i−2i−2i2i2i−2i−2i0000000000000000000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i32ζ222ζ22−2ζ22−2ζ222ζ222ζ22−2ζ22−2ζ22000000000000000000000000−2ζ132ζ13−2ζ72ζ7−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i32ζ142ζ14−2ζ14−2ζ142ζ142ζ14−2ζ14−2ζ14000000000000000000000000−2ζ52ζ5−2ζ232ζ23
χ11022-22-2-22-22i2i−2i−2i2i2i−2i−2i000000000000000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i32ζ222ζ22−2ζ22−2ζ222ζ222ζ22−2ζ22−2ζ220000000000000000000000002ζ13−2ζ132ζ7−2ζ7−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i32ζ142ζ14−2ζ14−2ζ142ζ142ζ14−2ζ14−2ζ140000000000000000000000002ζ5−2ζ52ζ23−2ζ23
χ11122-22-2-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−2ζ22−2ζ222ζ222ζ22−2ζ22−2ζ222ζ222ζ22000000000000000000000000−2ζ72ζ7−2ζ132ζ13−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−2ζ14−2ζ142ζ142ζ14−2ζ14−2ζ142ζ142ζ14000000000000000000000000−2ζ232ζ23−2ζ52ζ5
χ11222-22-2-22-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−2ζ22−2ζ222ζ222ζ22−2ζ22−2ζ222ζ222ζ220000000000000000000000002ζ7−2ζ72ζ13−2ζ13−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−2ζ14−2ζ142ζ142ζ14−2ζ14−2ζ142ζ142ζ140000000000000000000000002ζ23−2ζ232ζ5−2ζ5
χ11322-2-22-2-222i2i−2i−2i−2i−2i2i2i000000000000000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ130000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i32ζ222ζ22−2ζ22−2ζ22−2ζ22−2ζ222ζ222ζ2200000000000000000000−2ζ72ζ7−2ζ132ζ130000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i32ζ142ζ14−2ζ14−2ζ14−2ζ14−2ζ142ζ142ζ1400000000000000000000−2ζ232ζ23−2ζ52ζ50000
χ11422-2-22-2-222i2i−2i−2i−2i−2i2i2i00000000000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i32ζ222ζ22−2ζ22−2ζ22−2ζ22−2ζ222ζ222ζ22000000000000000000002ζ7−2ζ72ζ13−2ζ130000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i32ζ142ζ14−2ζ14−2ζ14−2ζ14−2ζ142ζ142ζ14000000000000000000002ζ23−2ζ232ζ5−2ζ50000
χ11522-2-22-2-22−2i−2i2i2i2i2i−2i−2i000000000000000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−2ζ22−2ζ222ζ222ζ222ζ222ζ22−2ζ22−2ζ2200000000000000000000−2ζ132ζ13−2ζ72ζ70000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−2ζ14−2ζ142ζ142ζ142ζ142ζ14−2ζ14−2ζ1400000000000000000000−2ζ52ζ5−2ζ232ζ230000
χ11622-2-22-2-22−2i−2i2i2i2i2i−2i−2i00000000000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−2ζ22−2ζ222ζ222ζ222ζ222ζ22−2ζ22−2ζ22000000000000000000002ζ13−2ζ132ζ7−2ζ70000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−2ζ14−2ζ142ζ142ζ142ζ142ζ14−2ζ14−2ζ14000000000000000000002ζ5−2ζ52ζ23−2ζ230000
χ1172-222-2-2-222i−2i2i−2i2i−2i2i−2i00000000000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i32ζ22−2ζ222ζ22−2ζ222ζ22−2ζ222ζ22−2ζ220000000000000000−2ζ72ζ7−2ζ132ζ1300000000−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i32ζ14−2ζ142ζ14−2ζ142ζ14−2ζ142ζ14−2ζ140000000000000000−2ζ232ζ23−2ζ52ζ500000000
χ1182-222-2-2-222i−2i2i−2i2i−2i2i−2i0000000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i32ζ22−2ζ222ζ22−2ζ222ζ22−2ζ222ζ22−2ζ2200000000000000002ζ7−2ζ72ζ13−2ζ1300000000−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i32ζ14−2ζ142ζ14−2ζ142ζ14−2ζ142ζ14−2ζ1400000000000000002ζ23−2ζ232ζ5−2ζ500000000
χ1192-222-2-2-22−2i2i−2i2i−2i2i−2i2i00000000000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−2ζ222ζ22−2ζ222ζ22−2ζ222ζ22−2ζ222ζ220000000000000000−2ζ132ζ13−2ζ72ζ700000000−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−2ζ142ζ14−2ζ142ζ14−2ζ142ζ14−2ζ142ζ140000000000000000−2ζ52ζ5−2ζ232ζ2300000000
χ1202-222-2-2-22−2i2i−2i2i−2i2i−2i2i0000000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−2ζ222ζ22−2ζ222ζ22−2ζ222ζ22−2ζ222ζ2200000000000000002ζ13−2ζ132ζ7−2ζ700000000−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−2ζ142ζ14−2ζ142ζ14−2ζ142ζ14−2ζ142ζ1400000000000000002ζ5−2ζ52ζ23−2ζ2300000000
χ1212-22-22-22-22i−2i2i−2i−2i2i−2i2i0000000000002ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i32ζ22−2ζ222ζ22−2ζ22−2ζ222ζ22−2ζ222ζ22000000000000−2ζ132ζ13−2ζ72ζ7000000000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i32ζ14−2ζ142ζ14−2ζ14−2ζ142ζ14−2ζ142ζ14000000000000−2ζ52ζ5−2ζ232ζ23000000000000
χ1222-22-22-22-22i−2i2i−2i−2i2i−2i2i000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i32ζ22−2ζ222ζ22−2ζ22−2ζ222ζ22−2ζ222ζ220000000000002ζ13−2ζ132ζ7−2ζ7000000000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i32ζ14−2ζ142ζ14−2ζ14−2ζ142ζ14−2ζ142ζ140000000000002ζ5−2ζ52ζ23−2ζ23000000000000
χ1232-22-22-22-2−2i2i−2i2i2i−2i2i−2i0000000000002ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−2ζ222ζ22−2ζ222ζ222ζ22−2ζ222ζ22−2ζ22000000000000−2ζ72ζ7−2ζ132ζ13000000000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−2ζ142ζ14−2ζ142ζ142ζ14−2ζ142ζ14−2ζ14000000000000−2ζ232ζ23−2ζ52ζ5000000000000
χ1242-22-22-22-2−2i2i−2i2i2i−2i2i−2i000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−2ζ222ζ22−2ζ222ζ222ζ22−2ζ222ζ22−2ζ220000000000002ζ7−2ζ72ζ13−2ζ13000000000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−2ζ142ζ14−2ζ142ζ142ζ14−2ζ142ζ14−2ζ140000000000002ζ23−2ζ232ζ5−2ζ5000000000000
χ1252-2-2222-2-22-2-222-2-2200002i−2i2i−2i00000000000000000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i300002ζ22−2ζ222ζ22−2ζ2200000000000000000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i300002ζ14−2ζ142ζ14−2ζ1400000000000000000000
χ1262-2-2222-2-22-2-222-2-220000−2i2i−2i2i00000000000000000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i30000−2ζ222ζ22−2ζ222ζ2200000000000000000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i30000−2ζ142ζ14−2ζ142ζ1400000000000000000000
χ1272-2-2222-2-2-222-2-222-200002i−2i−2i2i00000000000000000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i300002ζ22−2ζ22−2ζ222ζ2200000000000000000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i300002ζ14−2ζ14−2ζ142ζ1400000000000000000000
χ1282-2-2222-2-2-222-2-222-20000−2i2i2i−2i00000000000000000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i30000−2ζ222ζ222ζ22−2ζ2200000000000000000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i30000−2ζ142ζ142ζ14−2ζ1400000000000000000000
χ1292-2-2-2-22222-2-22-222-2000000002-22-20000000000000000−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i300000000−1−i31+i3−1−i31+i30000000000000000−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i300000000−1+i31−i3−1+i31−i30000000000000000
χ1302-2-2-2-22222-2-22-222-200000000-22-220000000000000000−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3000000001+i3−1−i31+i3−1−i30000000000000000−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3000000001−i3−1+i31−i3−1+i30000000000000000
χ1312-2-2-2-2222-222-22-2-22000000002-2-220000000000000000−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i300000000−1−i31+i31+i3−1−i30000000000000000−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i300000000−1+i31−i31−i3−1+i30000000000000000
χ1322-2-2-2-2222-222-22-2-2200000000-222-20000000000000000−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3000000001+i3−1−i3−1−i31+i30000000000000000−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3000000001−i3−1+i3−1+i31−i30000000000000000

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