Finite Group Databasebeta

← Group #10703012

Character table — Group #10703012

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111111111111122222222222222222222222244444444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order12222222444444442222344446666666121212121212121266668888888812121212242424242424242424242424242424244444888812121212121212122424242424242424444444448888888822448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ911111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111iiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-1ii−i−i
χ1011111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111iiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-111−i−iii
χ1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-111−i−iii
χ1211111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1111111-1-1ii−i−i
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-111ii−i−i
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1111111-1-1−i−iii
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-111ii−i−i
χ1722222222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ1822222222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ1922222222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ2022222222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ212222222222222222-2-2-2-22-2-2-2-2222222222222222-2-2-2-222-2-222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
χ222222222222222222-2-2-2-22-2-2-2-2222222222222222-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000
χ232222222222222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111122-2-222-2-21111-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000
χ242222222222222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111122-2-222-2-21111-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000
χ252222222222222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-222-2-22211111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000
χ262222222222222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-222-2-22211111111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-222222-2-2-2-22222222-2-2-2-2-2-2-2-222222i2i−2i−2i−2i−2i2i2i-2-2-2-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-222222-2-2-2-22222222-2-2-2-2-2-2-2-22222−2i−2i2i2i2i2i−2i−2i-2-2-2-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000000000
χ2922222222-2-2-2-2-2-2-2-22222-1-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-12i2i−2i−2i−2i−2i2i2i1111−i−i−i−iiiiiiiii−i−i−i−i00000000−i3−i3i3i3i3i3−i3−i333−3−3−3−333000000000000000000000000
χ3022222222-2-2-2-2-2-2-2-22222-1-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-12i2i−2i−2i−2i−2i2i2i1111−i−i−i−iiiiiiiii−i−i−i−i00000000i3i3−i3−i3−i3−i3i3i3−3−33333−3−3000000000000000000000000
χ3122222222-2-2-2-2-2-2-2-22222-1-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1−2i−2i2i2i2i2i−2i−2i1111iiii−i−i−i−i−i−i−i−iiiii00000000−i3−i3i3i3i3i3−i3−i3−3−33333−3−3000000000000000000000000
χ3222222222-2-2-2-2-2-2-2-22222-1-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1−2i−2i2i2i2i2i−2i−2i1111iiii−i−i−i−i−i−i−i−iiiii00000000i3i3−i3−i3−i3−i3i3i333−3−3−3−333000000000000000000000000
χ3322222222-2-2-2-2-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-11111111111112i2i2i2i−2i−2i−2i−2i-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii22-2-22i2i−2i−2i-1-1-1-11111−i−i−i−iiiii000000000000000000000000
χ3422222222-2-2-2-2-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-11111111111112i2i2i2i−2i−2i−2i−2i-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-2-222−2i−2i2i2i1111-1-1-1-1iiii−i−i−i−i000000000000000000000000
χ3522222222-2-2-2-2-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-1111111111111−2i−2i−2i−2i2i2i2i2i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i22-2-2−2i−2i2i2i-1-1-1-11111iiii−i−i−i−i000000000000000000000000
χ3622222222-2-2-2-2-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-1111111111111−2i−2i−2i−2i2i2i2i2i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-2-2222i2i−2i−2i1111-1-1-1-1−i−i−i−iiiii000000000000000000000000
χ37222-2-22-2-22i−2i2i2i−2i−2i2i−2i00002000022-2-22-2-22i2i−2i−2i2i2i−2i−2i000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300000000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1300002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ230000000000000000000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i22−2−2−i2−i2i2i200000000
χ38222-2-22-2-22i−2i2i2i−2i−2i2i−2i00002000022-2-22-2-22i2i−2i−2i2i2i−2i−2i000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300000000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1300002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23000000000000000000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2−222i2i2−i2−i200000000
χ39222-2-22-2-22i−2i2i2i−2i−2i2i−2i00002000022-2-22-2-22i2i−2i−2i2i2i−2i−2i0000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23000000002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ130000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ230000000000000000000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i−2−222i2i2−i2−i200000000
χ40222-2-22-2-22i−2i2i2i−2i−2i2i−2i00002000022-2-22-2-22i2i−2i−2i2i2i−2i−2i0000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23000000002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ130000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23000000000000000000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i22−2−2−i2−i2i2i200000000
χ41222-2-22-2-2−2i2i−2i−2i2i2i−2i2i00002000022-2-22-2-2−2i−2i2i2i−2i−2i2i2i0000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13000000002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ230000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ130000000000000000000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i22−2−2i2i2−i2−i200000000
χ42222-2-22-2-2−2i2i−2i−2i2i2i−2i2i00002000022-2-22-2-2−2i−2i2i2i−2i−2i2i2i0000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13000000002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ230000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13000000000000000000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i−2−222−i2−i2i2i200000000
χ43222-2-22-2-2−2i2i−2i−2i2i2i−2i2i00002000022-2-22-2-2−2i−2i2i2i−2i−2i2i2i000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300000000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ2300002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ130000000000000000000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i−2−222−i2−i2i2i200000000
χ44222-2-22-2-2−2i2i−2i−2i2i2i−2i2i00002000022-2-22-2-2−2i−2i2i2i−2i−2i2i2i000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300000000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ2300002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13000000000000000000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i22−2−2i2i2−i2−i200000000
χ4522-22-2-22-22i−2i−2i−2i2i2i2i−2i0000200002-22-2-22-22i2i−2i−2i−2i−2i2i2i0000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23000000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1300002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ2300000000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i−i2i2−i2i22−22−200000000
χ4622-22-2-22-22i−2i−2i−2i2i2i2i−2i0000200002-22-2-22-22i2i−2i−2i−2i−2i2i2i0000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23000000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1300002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ230000000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−ii2−i2i2−i2−22−2200000000
χ4722-22-2-22-22i−2i−2i−2i2i2i2i−2i0000200002-22-2-22-22i2i−2i−2i−2i−2i2i2i00002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ230000002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ130000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ2300000000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+ii2−i2i2−i2−22−2200000000
χ4822-22-2-22-22i−2i−2i−2i2i2i2i−2i0000200002-22-2-22-22i2i−2i−2i−2i−2i2i2i00002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ230000002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ130000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ230000000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−i2i2−i2i22−22−200000000
χ4922-22-2-22-2−2i2i2i2i−2i−2i−2i2i0000200002-22-2-22-2−2i−2i2i2i2i2i−2i−2i00002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ130000002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ230000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1300000000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−ii2−i2i2−i22−22−200000000
χ5022-22-2-22-2−2i2i2i2i−2i−2i−2i2i0000200002-22-2-22-2−2i−2i2i2i2i2i−2i−2i00002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ130000002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ230000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ130000000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−i2i2−i2i2−22−2200000000
χ5122-22-2-22-2−2i2i2i2i−2i−2i−2i2i0000200002-22-2-22-2−2i−2i2i2i2i2i−2i−2i0000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13000000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ2300002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ1300000000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i−i2i2−i2i2−22−2200000000
χ5222-22-2-22-2−2i2i2i2i−2i−2i−2i2i0000200002-22-2-22-2−2i−2i2i2i2i2i−2i−2i0000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13000000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ2300002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ130000000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+ii2−i2i2−i22−22−200000000
χ5322-2-22-2-2222-2-2-2-22222-2-222-2-222-2-22-2-222222-2-2-2-222-2-20000000022-2-200000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ5422-2-22-2-2222-2-2-2-22222-2-222-2-222-2-22-2-222222-2-2-2-222-2-20000000022-2-20000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ5522-2-22-2-2222-2-2-2-222-2-2222-222-22-2-22-2-222222-2-2-2-2-2-22200000000-2-2220000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ5622-2-22-2-2222-2-2-2-222-2-2222-222-22-2-22-2-222222-2-2-2-2-2-22200000000-2-222000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ5722-2-22-2-22-2-22222-2-222-2-22-222-22-2-22-2-22-2-2-2-2222222-2-200000000-2-2220000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ5822-2-22-2-22-2-22222-2-222-2-22-222-22-2-22-2-22-2-2-2-2222222-2-200000000-2-222000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ5922-2-22-2-22-2-22222-2-2-2-22222-2-222-2-22-2-22-2-2-2-22222-2-2220000000022-2-200000000000000000000000000000000000000002-2-222-2-220000000000000000
χ6022-2-22-2-22-2-22222-2-2-2-22222-2-222-2-22-2-22-2-2-2-22222-2-2220000000022-2-20000000000000000000000000000000000000000-222-2-222-20000000000000000
χ612-222-2-2-22222-22-2-2-22-22-22-22-22-222-2-2-222-22-22-22-22-22-2000000002-22-2000000000000000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ622-222-2-2-22222-22-2-2-22-22-22-22-22-222-2-2-222-22-22-22-22-22-2000000002-22-200000000000000000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ632-222-2-2-22222-22-2-2-22-22-2-1-22-221-1-1111-1-11-11-11-11-11-1100000000-11-11−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300002i−2i2i−2i3−33−33−33−3−ii−ii−ii−ii000000000000000000000000
χ642-222-2-2-22222-22-2-2-22-22-2-1-22-221-1-1111-1-11-11-11-11-11-1100000000-11-11−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000−2i2i−2i2i−33−33−33−33i−ii−ii−ii−i000000000000000000000000
χ652-222-2-2-22222-22-2-2-22-22-2-1-22-221-1-1111-1-11-11-11-11-11-1100000000-11-11i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300002i−2i2i−2i−33−33−33−33−ii−ii−ii−ii000000000000000000000000
χ662-222-2-2-22222-22-2-2-22-22-2-1-22-221-1-1111-1-11-11-11-11-11-1100000000-11-11i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000−2i2i−2i2i3−33−33−33−3i−ii−ii−ii−i000000000000000000000000
χ672-222-2-2-22222-22-2-2-2-22-2222-22-2-222-2-2-222-22-22-22-2-22-2200000000-22-2200000000000000002i−2i2i−2i00002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ682-222-2-2-22222-22-2-2-2-22-2222-22-2-222-2-2-222-22-22-22-2-22-2200000000-22-220000000000000000−2i2i−2i2i0000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ692-222-2-2-22222-22-2-2-2-22-22-12-22-21-1-1111-1-11-11-11-111-11-1000000001-11-1−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i32i−2i2i−2i0000−iii−i−iii−i3−3−333−3−33000000000000000000000000
χ702-222-2-2-22222-22-2-2-2-22-22-12-22-21-1-1111-1-11-11-11-111-11-1000000001-11-1−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−2i2i−2i2i0000i−i−iii−i−ii−333−3−333−3000000000000000000000000
χ712-222-2-2-22222-22-2-2-2-22-22-12-22-21-1-1111-1-11-11-11-111-11-1000000001-11-1i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i32i−2i2i−2i0000−iii−i−iii−i−333−3−333−3000000000000000000000000
χ722-222-2-2-22222-22-2-2-2-22-22-12-22-21-1-1111-1-11-11-11-111-11-1000000001-11-1i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3−2i2i−2i2i0000i−i−iii−i−ii3−3−333−3−33000000000000000000000000
χ732-222-2-2-22-2-2-22-22222-22-222-22-2-222-2-2-22-22-22-22-222-22-200000000-22-2200000000000000002i−2i−2i2i00002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ742-222-2-2-22-2-2-22-22222-22-222-22-2-222-2-2-22-22-22-22-222-22-200000000-22-220000000000000000−2i2i2i−2i0000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ752-222-2-2-22-2-2-22-22222-22-2-12-22-21-1-1111-11-11-11-11-1-11-11000000001-11-13−33−3−33−33−33−333−33−32i−2i−2i2i0000−iii−ii−i−iii3−i3−i3i3−i3i3i3−i3000000000000000000000000
χ762-222-2-2-22-2-2-22-22222-22-2-12-22-21-1-1111-11-11-11-11-1-11-11000000001-11-13−33−3−33−33−33−333−33−3−2i2i2i−2i0000i−i−ii−iii−i−i3i3i3−i3i3−i3−i3i3000000000000000000000000
χ772-222-2-2-22-2-2-22-22222-22-2-12-22-21-1-1111-11-11-11-11-1-11-11000000001-11-1−33−333−33−33−33−3−33−332i−2i−2i2i0000−iii−ii−i−ii−i3i3i3−i3i3−i3−i3i3000000000000000000000000
χ782-222-2-2-22-2-2-22-22222-22-2-12-22-21-1-1111-11-11-11-11-1-11-11000000001-11-1−33−333−33−33−33−3−33−33−2i2i2i−2i0000i−i−ii−iii−ii3−i3−i3i3−i3i3i3−i3000000000000000000000000
χ792-222-2-2-22-2-2-22-2222-22-222-22-22-222-2-2-22-22-22-22-22-22-22000000002-22-2000000000000000000002-2-22000000002-22-2-22-22000000000000000000000000
χ802-222-2-2-22-2-2-22-2222-22-222-22-22-222-2-2-22-22-22-22-22-22-22000000002-22-200000000000000000000-222-200000000-22-222-22-2000000000000000000000000
χ812-222-2-2-22-2-2-22-2222-22-22-1-22-221-1-1111-11-11-11-11-11-11-100000000-11-113−33−33−33−3−33−33−33−3300002-2-22−33−333−33−3-11-111-11-1000000000000000000000000
χ822-222-2-2-22-2-2-22-2222-22-22-1-22-221-1-1111-11-11-11-11-11-11-100000000-11-113−33−33−33−3−33−33−33−330000-222-23−33−3−33−331-11-1-11-11000000000000000000000000
χ832-222-2-2-22-2-2-22-2222-22-22-1-22-221-1-1111-11-11-11-11-11-11-100000000-11-11−33−33−33−333−33−33−33−300002-2-223−33−3−33−33-11-111-11-1000000000000000000000000
χ842-222-2-2-22-2-2-22-2222-22-22-1-22-221-1-1111-11-11-11-11-11-11-100000000-11-11−33−33−33−333−33−33−33−30000-222-2−33−333−33−31-11-1-11-11000000000000000000000000
χ852-2-2-2-222222-22-22-2-22-2-222-2-222-2-2-2-22222-22-2-22-222-2-22000000002-2-22000000000000000000000000000000000000000000000000000000002-22-20000
χ862-2-2-2-222222-22-22-2-22-2-222-2-222-2-2-2-22222-22-2-22-222-2-22000000002-2-2200000000000000000000000000000000000000000000000000000000-22-220000
χ872-2-2-2-222222-22-22-2-2-222-2222-2-2-2-2-2-22222-22-2-22-22-222-200000000-222-20000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ882-2-2-2-222222-22-22-2-2-222-2222-2-2-2-2-2-22222-22-2-22-22-222-200000000-222-2000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ892-2-2-2-2222-2-22-22-2222-2-22222-2-2-2-2-2-2222-22-222-22-22-2-2200000000-222-20000000000000000000000000000000000000000000000000000000000002-2-22
χ902-2-2-2-2222-2-22-22-2222-2-22222-2-2-2-2-2-2222-22-222-22-22-2-2200000000-222-2000000000000000000000000000000000000000000000000000000000000-222-2
χ912-2-2-2-2222-2-22-22-222-222-22-2-222-2-2-2-2222-22-222-22-2-222-2000000002-2-22000000000000000000000000000000000000000000000000000000002-2-220000
χ922-2-2-2-2222-2-22-22-222-222-22-2-222-2-2-2-2222-22-222-22-2-222-2000000002-2-2200000000000000000000000000000000000000000000000000000000-222-20000
χ93444-4-44-4-44i−4i4i4i−4i−4i4i−4i0000-20000-2-222-222−2i−2i2i2i−2i−2i2i2i000000−4ζ5−4ζ134ζ5+4ζ13004ζ7+4ζ23−4ζ7−4ζ23000000002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ130000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23000000000000000000000000000000000000000000000000
χ94444-4-44-4-44i−4i4i4i−4i−4i4i−4i0000-20000-2-222-222−2i−2i2i2i−2i−2i2i2i0000004ζ5+4ζ13−4ζ5−4ζ1300−4ζ7−4ζ234ζ7+4ζ2300000000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1300002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23000000000000000000000000000000000000000000000000
χ95444-4-44-4-4−4i4i−4i−4i4i4i−4i4i0000-20000-2-222-2222i2i−2i−2i2i2i−2i−2i0000004ζ7+4ζ23−4ζ7−4ζ2300−4ζ5−4ζ134ζ5+4ζ1300000000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ2300002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13000000000000000000000000000000000000000000000000
χ96444-4-44-4-4−4i4i−4i−4i4i4i−4i4i0000-20000-2-222-2222i2i−2i−2i2i2i−2i−2i000000−4ζ7−4ζ234ζ7+4ζ23004ζ5+4ζ13−4ζ5−4ζ13000000002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ230000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13000000000000000000000000000000000000000000000000
χ9744-44-4-44-44i−4i−4i−4i4i4i4i−4i0000-20000-22-222-22−2i−2i2i2i2i2i−2i−2i0000−4ζ5−4ζ134ζ5+4ζ13004ζ7+4ζ23−4ζ7−4ζ230000002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ130000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ230000000000000000000000000000000000000000000000000000
χ9844-44-4-44-44i−4i−4i−4i4i4i4i−4i0000-20000-22-222-22−2i−2i2i2i2i2i−2i−2i00004ζ5+4ζ13−4ζ5−4ζ1300−4ζ7−4ζ234ζ7+4ζ23000000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1300002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ230000000000000000000000000000000000000000000000000000
χ9944-44-4-44-4−4i4i4i4i−4i−4i−4i4i0000-20000-22-222-222i2i−2i−2i−2i−2i2i2i00004ζ7+4ζ23−4ζ7−4ζ2300−4ζ5−4ζ134ζ5+4ζ13000000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ2300002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ130000000000000000000000000000000000000000000000000000
χ10044-44-4-44-4−4i4i4i4i−4i−4i−4i4i0000-20000-22-222-222i2i−2i−2i−2i−2i2i2i0000−4ζ7−4ζ234ζ7+4ζ23004ζ5+4ζ13−4ζ5−4ζ130000002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ230000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ130000000000000000000000000000000000000000000000000000
χ10144-4-44-4-4444-4-4-4-44444-4-4-24-4-44-222-222-2-2-2-2-22222-2-22200000000-2-2220000000000000000000000000000000000000000000000000000000000000000
χ10244-4-44-4-4444-4-4-4-444-4-444-2-444-4-222-222-2-2-2-2-2222222-2-20000000022-2-20000000000000000000000000000000000000000000000000000000000000000
χ10344-4-44-4-44-4-44444-4-444-4-4-2-444-4-222-222-22222-2-2-2-2-2-2220000000022-2-20000000000000000000000000000000000000000000000000000000000000000
χ10444-4-44-4-44-4-44444-4-4-4-444-24-4-44-222-222-22222-2-2-2-222-2-200000000-2-2220000000000000000000000000000000000000000000000000000000000000000
χ1054-44-44-44-44i−4i4i−4i−4i4i−4i4i000040000-44-44-44-44i−4i−4i4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1064-44-44-44-44i−4i4i−4i−4i4i−4i4i0000-200002-22-22-22−2i2i2i−2i−2i2i2i−2i000000000000000000002ζ5−2ζ13−2ζ5+2ζ13−2ζ5+2ζ132ζ5−2ζ1300002ζ7−2ζ23−2ζ7+2ζ23−2ζ7+2ζ232ζ7−2ζ23000000000000000000000000000000000000000000000000
χ1074-44-44-44-44i−4i4i−4i−4i4i−4i4i0000-200002-22-22-22−2i2i2i−2i−2i2i2i−2i00000000000000000000−2ζ5+2ζ132ζ5−2ζ132ζ5−2ζ13−2ζ5+2ζ130000−2ζ7+2ζ232ζ7−2ζ232ζ7−2ζ23−2ζ7+2ζ23000000000000000000000000000000000000000000000000
χ1084-44-44-44-4−4i4i−4i4i4i−4i4i−4i000040000-44-44-44-4−4i4i4i−4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1094-44-44-44-4−4i4i−4i4i4i−4i4i−4i0000-200002-22-22-222i−2i−2i2i2i−2i−2i2i00000000000000000000−2ζ7+2ζ232ζ7−2ζ232ζ7−2ζ23−2ζ7+2ζ230000−2ζ5+2ζ132ζ5−2ζ132ζ5−2ζ13−2ζ5+2ζ13000000000000000000000000000000000000000000000000
χ1104-44-44-44-4−4i4i−4i4i4i−4i4i−4i0000-200002-22-22-222i−2i−2i2i2i−2i−2i2i000000000000000000002ζ7−2ζ23−2ζ7+2ζ23−2ζ7+2ζ232ζ7−2ζ2300002ζ5−2ζ13−2ζ5+2ζ13−2ζ5+2ζ132ζ5−2ζ13000000000000000000000000000000000000000000000000
χ1114-4-4444-4-44i−4i−4i4i4i−4i−4i4i000040000-4-4444-4-44i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1124-4-4444-4-44i−4i−4i4i4i−4i−4i4i0000-2000022-2-2-222−2i2i2i−2i2i−2i−2i2i00000000000000002ζ5−2ζ13−2ζ5+2ζ13−2ζ5+2ζ132ζ5−2ζ1300002ζ7−2ζ23−2ζ7+2ζ23−2ζ7+2ζ232ζ7−2ζ230000000000000000000000000000000000000000000000000000
χ1134-4-4444-4-44i−4i−4i4i4i−4i−4i4i0000-2000022-2-2-222−2i2i2i−2i2i−2i−2i2i0000000000000000−2ζ5+2ζ132ζ5−2ζ132ζ5−2ζ13−2ζ5+2ζ130000−2ζ7+2ζ232ζ7−2ζ232ζ7−2ζ23−2ζ7+2ζ230000000000000000000000000000000000000000000000000000
χ1144-4-4444-4-4−4i4i4i−4i−4i4i4i−4i000040000-4-4444-4-4−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1154-4-4444-4-4−4i4i4i−4i−4i4i4i−4i0000-2000022-2-2-2222i−2i−2i2i−2i2i2i−2i0000000000000000−2ζ7+2ζ232ζ7−2ζ232ζ7−2ζ23−2ζ7+2ζ230000−2ζ5+2ζ132ζ5−2ζ132ζ5−2ζ13−2ζ5+2ζ130000000000000000000000000000000000000000000000000000
χ1164-4-4444-4-4−4i4i4i−4i−4i4i4i−4i0000-2000022-2-2-2222i−2i−2i2i−2i2i2i−2i00000000000000002ζ7−2ζ23−2ζ7+2ζ23−2ζ7+2ζ232ζ7−2ζ2300002ζ5−2ζ13−2ζ5+2ζ13−2ζ5+2ζ132ζ5−2ζ130000000000000000000000000000000000000000000000000000
χ1174-4-4-4-444444-44-44-4-44-4-44-2-4-4442222-2-2-2-22-222-22-2-222-200000000-222-20000000000000000000000000000000000000000000000000000000000000000
χ1184-4-4-4-444444-44-44-4-4-444-4-244-4-42222-2-2-2-22-222-22-22-2-22000000002-2-220000000000000000000000000000000000000000000000000000000000000000
χ1194-4-4-4-4444-4-44-44-4444-4-44-244-4-42222-2-2-22-22-2-22-22-222-2000000002-2-220000000000000000000000000000000000000000000000000000000000000000
χ1204-4-4-4-4444-4-44-44-444-444-4-2-4-4442222-2-2-22-22-2-22-222-2-2200000000-222-20000000000000000000000000000000000000000000000000000000000000000

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