Finite Group Databasebeta

← Group #10693394

Character table — Group #10693394

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111111111111122222222222222222222222244444444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order122222224444444434444444466666661212121212121212888888881212121212121212242424242424242424242424242424248888888824242424242424242424242424242424888888888888888822444444
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ911111111-1-1-1-1-1-1-1-1111-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1
χ1011111111-1-1-1-1-1-1-1-1111-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111
χ1111111111-1-1-1-1-1-1-1-1111-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111
χ1211111111-1-1-1-1-1-1-1-1111-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1
χ1311111111-1-1-1-1-1-1-1-1111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1
χ1411111111-1-1-1-1-1-1-1-1111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111
χ1511111111-1-1-1-1-1-1-1-1111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111-1-111
χ1611111111-1-1-1-1-1-1-1-1111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1
χ1722222222222222222-2-2-2-2-2-2-2-222222222222222200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000022-2-222-2-20000000000000000
χ1822222222222222222-2-2-2-2-2-2-2-222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-222-2-2220000000000000000
χ192222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ202222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ212222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ222222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ2322222222-2-2-2-2-2-2-2-22-2-222-2-2222222222-2-2-2-2-2-2-2-200000000-2-22222-2-200000000000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ2422222222-2-2-2-2-2-2-2-22-2-222-2-2222222222-2-2-2-2-2-2-2-200000000-2-22222-2-20000000000000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ2522222222-2-2-2-2-2-2-2-2-122-2-222-2-2-1-1-1-1-1-1-1111111112222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-1111111112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii000000000000000000000000
χ2622222222-2-2-2-2-2-2-2-2-122-2-222-2-2-1-1-1-1-1-1-1111111112222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-122-2-222-2-2-1-1-1-1-1-1-111111111-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-12i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-122-2-222-2-2-1-1-1-1-1-1-111111111-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-1−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii000000000000000000000000
χ29222-2-2-2-2222-2-222-2-220000000022-2-22-2-222-2-222-2-2−i2−i2i2i2−i2−i2i2i200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000000000000000002-2002-2−i2−i2i2i2−i2−i2i2i200000000
χ30222-2-2-2-2222-2-222-2-220000000022-2-22-2-222-2-222-2-2−i2−i2i2i2−i2−i2i2i200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i200000000000000000000000000-2200-22i2i2−i2−i2i2i2−i2−i200000000
χ31222-2-2-2-2222-2-222-2-220000000022-2-22-2-222-2-222-2-2i2i2−i2−i2i2i2−i2−i200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000000000000000002-2002-2i2i2−i2−i2i2i2−i2−i200000000
χ32222-2-2-2-2222-2-222-2-220000000022-2-22-2-222-2-222-2-2i2i2−i2−i2i2i2−i2−i200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000000000000000000000-2200-22−i2−i2i2i2−i2−i2i2i200000000
χ33222-2-2-2-22-2-222-2-22220000000022-2-22-2-2-2-222-2-222−i2−i2i2i2i2i2−i2−i200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2000000000000000000000000002i−2i00−2i2i22−2−2−2−22200000000
χ34222-2-2-2-22-2-222-2-22220000000022-2-22-2-2-2-222-2-222−i2−i2i2i2i2i2−i2−i200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i200000000000000000000000000−2i2i002i−2i−2−22222−2−200000000
χ35222-2-2-2-22-2-222-2-22220000000022-2-22-2-2-2-222-2-222i2i2−i2−i2−i2−i2i2i200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2000000000000000000000000002i−2i00−2i2i−2−22222−2−200000000
χ36222-2-2-2-22-2-222-2-22220000000022-2-22-2-2-2-222-2-222i2i2−i2−i2−i2−i2i2i200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i200000000000000000000000000−2i2i002i−2i22−2−2−2−22200000000
χ3722-22-22-2-22i−2i2i−2i2i−2i2i−2i2000000002-22-2-22-22i−2i2i−2i2i−2i2i−2i2−22−2−i2i2−i2i20000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i20000000000000000000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ3822-22-22-2-22i−2i2i−2i2i−2i2i−2i2000000002-22-2-22-22i−2i2i−2i2i−2i2i−2i2−22−2−i2i2−i2i20000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000000000000000000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ3922-22-22-2-22i−2i2i−2i2i−2i2i−2i2000000002-22-2-22-22i−2i2i−2i2i−2i2i−2i−22−22i2−i2i2−i200000000−2−222−2−222i2i2−i2−i2i2i2−i2−i20000000000000000000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ4022-22-22-2-22i−2i2i−2i2i−2i2i−2i2000000002-22-2-22-22i−2i2i−2i2i−2i2i−2i−22−22i2−i2i2−i200000000−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000000000000000000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ4122-22-22-2-2−2i2i−2i2i−2i2i−2i2i2000000002-22-2-22-2−2i2i−2i2i−2i2i−2i2i2−22−2i2−i2i2−i20000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000000000000000000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ4222-22-22-2-2−2i2i−2i2i−2i2i−2i2i2000000002-22-2-22-2−2i2i−2i2i−2i2i−2i2i2−22−2i2−i2i2−i20000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i20000000000000000000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ4322-22-22-2-2−2i2i−2i2i−2i2i−2i2i2000000002-22-2-22-2−2i2i−2i2i−2i2i−2i2i−22−22−i2i2−i2i200000000−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000000000000000000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ4422-22-22-2-2−2i2i−2i2i−2i2i−2i2i2000000002-22-2-22-2−2i2i−2i2i−2i2i−2i2i−22−22−i2i2−i2i200000000−2−222−2−222−i2−i2i2i2−i2−i2i2i20000000000000000000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ4522-2-22-22-22i−2i−2i2i2i−2i−2i2i22-22i−2i2-22i−2i2-2-22-2-222i−2i−2i2i2i−2i−2i2i000000002-22i2i−2i−2i2-2000000000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000
χ4622-2-22-22-22i−2i−2i2i2i−2i−2i2i22-22i−2i2-22i−2i2-2-22-2-222i−2i−2i2i2i−2i−2i2i000000002-22i2i−2i−2i2-20000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000
χ4722-2-22-22-22i−2i−2i2i2i−2i−2i2i2-22−2i2i-22−2i2i2-2-22-2-222i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2-2-22-22−2i−2i2i2i-222i2i−2i−2i−2i−2i2i2i22-2-2-2-222000000000000000000000000000000000000000000000000
χ4822-2-22-22-22i−2i−2i2i2i−2i−2i2i2-22−2i2i-22−2i2i2-2-22-2-222i−2i−2i2i2i−2i−2i2i−2i2i2i−2i-222-2-22−2i−2i2i2i-22−2i−2i2i2i2i2i−2i−2i-2-22222-2-2000000000000000000000000000000000000000000000000
χ4922-2-22-22-22i−2i−2i2i2i−2i−2i2i-1-22−2i2i-22−2i2i-111-111-1−iii−i−iii−i2i−2i−2i2i2-2-221-1ii−i−i1-1−i−iiiii−i−i-1-11111-1-100000000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23000000000000000000000000
χ5022-2-22-22-22i−2i−2i2i2i−2i−2i2i-1-22−2i2i-22−2i2i-111-111-1−iii−i−iii−i2i−2i−2i2i2-2-221-1ii−i−i1-1−i−iiiii−i−i-1-11111-1-100000000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23000000000000000000000000
χ5122-2-22-22-22i−2i−2i2i2i−2i−2i2i-1-22−2i2i-22−2i2i-111-111-1−iii−i−iii−i−2i2i2i−2i-222-21-1ii−i−i1-1ii−i−i−i−iii11-1-1-1-11100000000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23000000000000000000000000
χ5222-2-22-22-22i−2i−2i2i2i−2i−2i2i-1-22−2i2i-22−2i2i-111-111-1−iii−i−iii−i−2i2i2i−2i-222-21-1ii−i−i1-1ii−i−i−i−iii11-1-1-1-11100000000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23000000000000000000000000
χ5322-2-22-22-2−2i2i2i−2i−2i2i2i−2i22-2−2i2i2-2−2i2i2-2-22-2-22−2i2i2i−2i−2i2i2i−2i000000002-2−2i−2i2i2i2-20000000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000
χ5422-2-22-22-2−2i2i2i−2i−2i2i2i−2i22-2−2i2i2-2−2i2i2-2-22-2-22−2i2i2i−2i−2i2i2i−2i000000002-2−2i−2i2i2i2-2000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000
χ5522-2-22-22-2−2i2i2i−2i−2i2i2i−2i2-222i−2i-222i−2i2-2-22-2-22−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i-222-2-222i2i−2i−2i-222i2i−2i−2i−2i−2i2i2i-2-22222-2-2000000000000000000000000000000000000000000000000
χ5622-2-22-22-2−2i2i2i−2i−2i2i2i−2i2-222i−2i-222i−2i2-2-22-2-22−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i2-2-22-222i2i−2i−2i-22−2i−2i2i2i2i2i−2i−2i22-2-2-2-222000000000000000000000000000000000000000000000000
χ5722-2-22-22-2−2i2i2i−2i−2i2i2i−2i-1-222i−2i-222i−2i-111-111-1i−i−iii−i−ii2i−2i−2i2i-222-21-1−i−iii1-1−i−iiiii−i−i11-1-1-1-11100000000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13000000000000000000000000
χ5822-2-22-22-2−2i2i2i−2i−2i2i2i−2i-1-222i−2i-222i−2i-111-111-1i−i−iii−i−ii2i−2i−2i2i-222-21-1−i−iii1-1−i−iiiii−i−i11-1-1-1-11100000000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13000000000000000000000000
χ5922-2-22-22-2−2i2i2i−2i−2i2i2i−2i-1-222i−2i-222i−2i-111-111-1i−i−iii−i−ii−2i2i2i−2i2-2-221-1−i−iii1-1ii−i−i−i−iii-1-11111-1-100000000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13000000000000000000000000
χ6022-2-22-22-2−2i2i2i−2i−2i2i2i−2i-1-222i−2i-222i−2i-111-111-1i−i−iii−i−ii−2i2i2i−2i2-2-221-1−i−iii1-1ii−i−i−i−iii-1-11111-1-100000000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13000000000000000000000000
χ612-22-222-2-22i−2i−2i2i−2i2i2i−2i22-22i−2i-22−2i2i-222-2-2-22−2i2i2i−2i2i−2i−2i2i000000002-22i−2i2i−2i-2200000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000000000
χ622-22-222-2-22i−2i−2i2i−2i2i2i−2i22-22i−2i-22−2i2i-222-2-2-22−2i2i2i−2i2i−2i−2i2i000000002-22i−2i2i−2i-220000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000000000
χ632-22-222-2-22i−2i−2i2i−2i2i2i−2i2-22−2i2i2-22i−2i-222-2-2-22−2i2i2i−2i2i−2i−2i2i00000000-22−2i2i−2i2i2-2000000000000000000000000000000000000000000000000000000002-200002i−2i
χ642-22-222-2-22i−2i−2i2i−2i2i2i−2i2-22−2i2i2-22i−2i-222-2-2-22−2i2i2i−2i2i−2i−2i2i00000000-22−2i2i−2i2i2-200000000000000000000000000000000000000000000000000000000-220000−2i2i
χ652-22-222-2-22i−2i−2i2i−2i2i2i−2i-12-22i−2i-22−2i2i1-1-1111-1i−i−ii−iii−i00000000-11−ii−ii1-13−33−33−33−3−i3i3−i3i3−i3i3−i3i32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23000000000000000000000000
χ662-22-222-2-22i−2i−2i2i−2i2i2i−2i-12-22i−2i-22−2i2i1-1-1111-1i−i−ii−iii−i00000000-11−ii−ii1-13−33−33−33−3−i3i3−i3i3−i3i3−i3i3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23000000000000000000000000
χ672-22-222-2-22i−2i−2i2i−2i2i2i−2i-12-22i−2i-22−2i2i1-1-1111-1i−i−ii−iii−i00000000-11−ii−ii1-1−33−33−33−33i3−i3i3−i3i3−i3i3−i32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23000000000000000000000000
χ682-22-222-2-22i−2i−2i2i−2i2i2i−2i-12-22i−2i-22−2i2i1-1-1111-1i−i−ii−iii−i00000000-11−ii−ii1-1−33−33−33−33i3−i3i3−i3i3−i3i3−i3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23000000000000000000000000
χ692-22-222-2-2−2i2i2i−2i2i−2i−2i2i22-2−2i2i-222i−2i-222-2-2-222i−2i−2i2i−2i2i2i−2i000000002-2−2i2i−2i2i-220000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000000000
χ702-22-222-2-2−2i2i2i−2i2i−2i−2i2i22-2−2i2i-222i−2i-222-2-2-222i−2i−2i2i−2i2i2i−2i000000002-2−2i2i−2i2i-2200000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000000000
χ712-22-222-2-2−2i2i2i−2i2i−2i−2i2i2-222i−2i2-2−2i2i-222-2-2-222i−2i−2i2i−2i2i2i−2i00000000-222i−2i2i−2i2-2000000000000000000000000000000000000000000000000000000002-20000−2i2i
χ722-22-222-2-2−2i2i2i−2i2i−2i−2i2i2-222i−2i2-2−2i2i-222-2-2-222i−2i−2i2i−2i2i2i−2i00000000-222i−2i2i−2i2-200000000000000000000000000000000000000000000000000000000-2200002i−2i
χ732-22-222-2-2−2i2i2i−2i2i−2i−2i2i-12-2−2i2i-222i−2i1-1-1111-1−iii−ii−i−ii00000000-11i−ii−i1-13−33−33−33−3i3−i3i3−i3i3−i3i3−i3−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13000000000000000000000000
χ742-22-222-2-2−2i2i2i−2i2i−2i−2i2i-12-2−2i2i-222i−2i1-1-1111-1−iii−ii−i−ii00000000-11i−ii−i1-13−33−33−33−3i3−i3i3−i3i3−i3i3−i32ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13000000000000000000000000
χ752-22-222-2-2−2i2i2i−2i2i−2i−2i2i-12-2−2i2i-222i−2i1-1-1111-1−iii−ii−i−ii00000000-11i−ii−i1-1−33−33−33−33−i3i3−i3i3−i3i3−i3i3−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13000000000000000000000000
χ762-22-222-2-2−2i2i2i−2i2i−2i−2i2i-12-2−2i2i-222i−2i1-1-1111-1−iii−ii−i−ii00000000-11i−ii−i1-1−33−33−33−33−i3i3−i3i3−i3i3−i3i32ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13000000000000000000000000
χ772-2-222-2-222222-2-2-2-222222-2-2-2-2-2-2-2-2222-2-2-2-2222200000000222-2-22-2-200000000000000000000000000000000000000000000000000000000002i−2i2i−2i00
χ782-2-222-2-222222-2-2-2-222222-2-2-2-2-2-2-2-2222-2-2-2-2222200000000222-2-22-2-20000000000000000000000000000000000000000000000000000000000−2i2i−2i2i00
χ792-2-222-2-222222-2-2-2-22-2-2-2-22222-2-2-2-2222-2-2-2-2222200000000-2-2-222-222000000000000000000002-22-2000000002-2-222-2-22000000000000000000000000
χ802-2-222-2-222222-2-2-2-22-2-2-2-22222-2-2-2-2222-2-2-2-2222200000000-2-2-222-22200000000000000000000-22-2200000000-222-2-222-2000000000000000000000000
χ812-2-222-2-222222-2-2-2-2-1-2-2-2-222221111-1-1-11111-1-1-1-100000000111-1-11-1-1−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i300002-22-2−i3i3i3−i3i3−i3−i3i3-111-1-111-1000000000000000000000000
χ822-2-222-2-222222-2-2-2-2-1-2-2-2-222221111-1-1-11111-1-1-1-100000000111-1-11-1-1−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i30000-22-22i3−i3−i3i3−i3i3i3−i31-1-111-1-11000000000000000000000000
χ832-2-222-2-222222-2-2-2-2-1-2-2-2-222221111-1-1-11111-1-1-1-100000000111-1-11-1-1i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i300002-22-2i3−i3−i3i3−i3i3i3−i3-111-1-111-1000000000000000000000000
χ842-2-222-2-222222-2-2-2-2-1-2-2-2-222221111-1-1-11111-1-1-1-100000000111-1-11-1-1i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i30000-22-22−i3i3i3−i3i3−i3−i3i31-1-111-1-11000000000000000000000000
χ852-2-222-2-22-2-2-2-22222222-2-2-2-222-2-2-2-22222222-2-2-2-20000000022-222-2-2-200000000000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ862-2-222-2-22-2-2-2-22222222-2-2-2-222-2-2-2-22222222-2-2-2-20000000022-222-2-2-20000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ872-2-222-2-22-2-2-2-222222-2-22222-2-2-2-2-2-22222222-2-2-2-200000000-2-22-2-2222000000000000000000002i−2i−2i2i000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ882-2-222-2-22-2-2-2-222222-2-22222-2-2-2-2-2-22222222-2-2-2-200000000-2-22-2-222200000000000000000000−2i2i2i−2i00000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ892-2-222-2-22-2-2-2-22222-1-2-22222-2-21111-1-1-1-1-1-1-111110000000011-111-1-1-1−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i300002i−2i−2i2i3−3−333−3−33−iii−ii−i−ii000000000000000000000000
χ902-2-222-2-22-2-2-2-22222-1-2-22222-2-21111-1-1-1-1-1-1-111110000000011-111-1-1-1−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i30000−2i2i2i−2i−333−3−333−3i−i−ii−iii−i000000000000000000000000
χ912-2-222-2-22-2-2-2-22222-1-2-22222-2-21111-1-1-1-1-1-1-111110000000011-111-1-1-1i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i300002i−2i−2i2i−333−3−333−3−iii−ii−i−ii000000000000000000000000
χ922-2-222-2-22-2-2-2-22222-1-2-22222-2-21111-1-1-1-1-1-1-111110000000011-111-1-1-1i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i30000−2i2i2i−2i3−3−333−3−33i−i−ii−iii−i000000000000000000000000
χ934444444444444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000222222220000000000000000000000000000000000000000000000000000000000000000
χ9444444444-4-4-4-4-4-4-4-4-2-4-444-4-444-2-2-2-2-2-2-2222222220000000022-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000
χ95444-4-4-4-4444-4-444-4-4-200000000-2-222-222-2-222-2-222−2i2−2i22i22i2−2i2−2i22i22i200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000000000000000000000000000000000000000
χ96444-4-4-4-4444-4-444-4-4-200000000-2-222-222-2-222-2-2222i22i2−2i2−2i22i22i2−2i2−2i200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000000000000000000000000000000000000000
χ97444-4-4-4-44-4-444-4-444-200000000-2-222-22222-2-222-2-2−2i2−2i22i22i22i22i2−2i2−2i200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2000000000000000000000000000000000000000000000000
χ98444-4-4-4-44-4-444-4-444-200000000-2-222-22222-2-222-2-22i22i2−2i2−2i2−2i2−2i22i22i200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2000000000000000000000000000000000000000000000000
χ9944-44-44-4-44i−4i4i−4i4i−4i4i−4i-200000000-22-222-22−2i2i−2i2i−2i2i−2i2i22−2222−22−2i22i2−2i22i200000000−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000000000000000000000000000000000000000000000
χ10044-44-44-4-44i−4i4i−4i4i−4i4i−4i-200000000-22-222-22−2i2i−2i2i−2i2i−2i2i−2222−22222i2−2i22i2−2i20000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000000000000000000000000000000000000000000000
χ10144-44-44-4-4−4i4i−4i4i−4i4i−4i4i-200000000-22-222-222i−2i2i−2i2i−2i2i−2i22−2222−222i2−2i22i2−2i200000000−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000000000000000000000000000000000000000000000
χ10244-44-44-4-4−4i4i−4i4i−4i4i−4i4i-200000000-22-222-222i−2i2i−2i2i−2i2i−2i−2222−2222−2i22i2−2i22i20000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000000000000000000000000000000000000000000000
χ10344-4-44-44-44i−4i−4i4i4i−4i−4i4i-24-44i−4i4-44i−4i-222-222-2−2i2i2i−2i−2i2i2i−2i00000000-22−2i−2i2i2i-220000000000000000000000000000000000000000000000000000000000000000
χ10444-4-44-44-4−4i4i4i−4i−4i4i4i−4i-24-4−4i4i4-4−4i4i-222-222-22i−2i−2i2i2i−2i−2i2i00000000-222i2i−2i−2i-220000000000000000000000000000000000000000000000000000000000000000
χ1054-444-4-44-44i−4i4i−4i−4i4i−4i4i400000000-44-44-44-4−4i4i−4i4i4i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1064-444-4-44-44i−4i4i−4i−4i4i−4i4i-2000000002-22-22-222i−2i2i−2i−2i2i−2i2i0000000000000000i6−i6i6−i6−i6i6−i6i66−66−6−66−66000000000000000000000000000000000000000000000000
χ1074-444-4-44-44i−4i4i−4i−4i4i−4i4i-2000000002-22-22-222i−2i2i−2i−2i2i−2i2i0000000000000000−i6i6−i6i6i6−i6i6−i6−66−666−66−6000000000000000000000000000000000000000000000000
χ1084-444-4-44-4−4i4i−4i4i4i−4i4i−4i400000000-44-44-44-44i−4i4i−4i−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1094-444-4-44-4−4i4i−4i4i4i−4i4i−4i-2000000002-22-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000i6−i6i6−i6−i6i6−i6i6−66−666−66−6000000000000000000000000000000000000000000000000
χ1104-444-4-44-4−4i4i−4i4i4i−4i4i−4i-2000000002-22-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000−i6i6−i6i6i6−i6i6−i66−66−6−66−66000000000000000000000000000000000000000000000000
χ1114-44-444-4-44i−4i−4i4i−4i4i4i−4i-2-44−4i4i4-44i−4i2-2-2222-22i−2i−2i2i−2i2i2i−2i000000002-22i−2i2i−2i-220000000000000000000000000000000000000000000000000000000000000000
χ1124-44-444-4-4−4i4i4i−4i4i−4i−4i4i-2-444i−4i4-4−4i4i2-2-2222-2−2i2i2i−2i2i−2i−2i2i000000002-2−2i2i−2i2i-220000000000000000000000000000000000000000000000000000000000000000
χ1134-4-444-4-444444-4-4-4-4-24444-4-4-4-42222-2-2-22222-2-2-2-200000000-2-2-222-2220000000000000000000000000000000000000000000000000000000000000000
χ1144-4-444-4-44-4-4-4-44444-244-4-4-4-4442222-2-2-2-2-2-2-2222200000000-2-22-2-22220000000000000000000000000000000000000000000000000000000000000000
χ1154-4-4-4-444444-4-4-4-444400000000-4-4444-4-4-4-44444-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-4-4-444444-4-4-4-444-20000000022-2-2-22222-2-2-2-22200000000000000006−6−666−6−666−6−666−6−66000000000000000000000000000000000000000000000000
χ1174-4-4-4-444444-4-4-4-444-20000000022-2-2-22222-2-2-2-2220000000000000000−666−6−666−6−666−6−666−6000000000000000000000000000000000000000000000000
χ1184-4-4-4-4444-4-44444-4-4400000000-4-4444-4-444-4-4-4-44400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1194-4-4-4-4444-4-44444-4-4-20000000022-2-2-222-2-22222-2-200000000000000006−6−666−6−66−666−6−666−6000000000000000000000000000000000000000000000000
χ1204-4-4-4-4444-4-44444-4-4-20000000022-2-2-222-2-22222-2-20000000000000000−666−6−666−66−6−666−6−66000000000000000000000000000000000000000000000000

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