Finite Group Databasebeta

← Group #10693521

Character table — Group #10693521

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444242424242424242448484848
order122222223444444446666666888888881212121212121212242424242424242424242424242424244444444444888888888888121212121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424888888882244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1
χ91-1111-1-1-1111-1-1-111-1-1-1111-1-1iiii−i−i−i−i11-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i1-1iiii−i−i−i−iii−i−i1111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1ii−i−i11-1-11-1i−i
χ101-1111-1-1-1111-1-1-111-1-1-1111-1-1iiii−i−i−i−i11-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i1-1iiii−i−i−i−iii−i−i1111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1−i−iii-1-111-11−ii
χ111-1111-1-1-1111-1-1-111-1-1-1111-1-1iiii−i−i−i−i11-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i1-1−i−i−i−iiiiiii−i−i-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-111111111ii−i−i11-1-1-11−ii
χ121-1111-1-1-1111-1-1-111-1-1-1111-1-1iiii−i−i−i−i11-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i1-1−i−i−i−iiiiiii−i−i-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-111111111−i−iii-1-1111-1i−i
χ131-1111-1-1-1111-1-1-111-1-1-1111-1-1−i−i−i−iiiii11-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii1-1iiii−i−i−i−i−i−iii-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-111111111ii−i−i-1-1111-1−ii
χ141-1111-1-1-1111-1-1-111-1-1-1111-1-1−i−i−i−iiiii11-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii1-1iiii−i−i−i−i−i−iii-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-111111111−i−iii11-1-1-11i−i
χ151-1111-1-1-1111-1-1-111-1-1-1111-1-1−i−i−i−iiiii11-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii1-1−i−i−i−iiiii−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1ii−i−i-1-111-11i−i
χ161-1111-1-1-1111-1-1-111-1-1-1111-1-1−i−i−i−iiiii11-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii1-1−i−i−i−iiiii−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−iii11-1-11-1−ii
χ172222222222-22-2-2-222222222200000000-2-2-2-2-2-2-2-20000000000000000-2-222-2-222-2-200000000000022-2-222-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ182222222222-22-2-2-222222222200000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-222-2-22200000000000022-2-222-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ19222222222-22-2222-2-2222222222222222222222222222222222222222-2-200000000-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ20222222222-22-2222-2-22222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000222200000000-2-2-2-2-2-2-2-20000000000000000222222220000000000000000000000000000
χ21222222222-2-2-2-2-2-2-2-2222222200000000-2-2-2-2-2-2-2-20000000000000000220000000000002i2i−2i−2i2i2i−2i−2i-2-222-2-2220000000000000000000000002i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000
χ22222222222-2-2-2-2-2-2-2-2222222200000000-2-2-2-2-2-2-2-2000000000000000022000000000000−2i−2i2i2i−2i−2i2i2i-2-222-2-222000000000000000000000000−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i000000000000
χ2322222222-122222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2422222222-122222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111000000000000
χ2522222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111000000000000
χ2622222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2722222222-12-22-2-2-222-1-1-1-1-1-1-100000000111111113333−3−3−3−33333−3−3−3−3-2-222-2-222-2-2000000000000-1-111-1-111-1-1-1-11111-1-1-1-1111133−3−333−3−333−3−333−3−333−3−333−3−3000000000000
χ2822222222-12-22-2-2-222-1-1-1-1-1-1-100000000111111113333−3−3−3−33333−3−3−3−3-2-2-2-222-2-222000000000000-1-111-1-1111111-1-1-1-11111-1-1-1-133−3−333−3−3−3−333−3−333−3−333−3−333000000000000
χ2922222222-12-22-2-2-222-1-1-1-1-1-1-10000000011111111−3−3−3−33333−3−3−3−33333-2-222-2-222-2-2000000000000-1-111-1-111-1-1-1-11111-1-1-1-11111−3−333−3−333−3−333−3−333−3−333−3−333000000000000
χ3022222222-12-22-2-2-222-1-1-1-1-1-1-10000000011111111−3−3−3−33333−3−3−3−33333-2-2-2-222-2-222000000000000-1-111-1-1111111-1-1-1-11111-1-1-1-1−3−333−3−33333−3−333−3−333−3−333−3−3000000000000
χ3122222222-1-22-2222-2-2-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200000000-2-2-2-20000000011111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i311111111−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000000000
χ3222222222-1-22-2222-2-2-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200000000-2-2-2-20000000011111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i311111111i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000000000
χ3322222222-1-22-2222-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-20000000022220000000011111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-1-1-1-1-1-1-1-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000000000
χ3422222222-1-22-2222-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-20000000022220000000011111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-1-1-1-1-1-1-1-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000000000
χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-100000000111111113333−3−3−3−33333−3−3−3−3220000000000002i2i−2i−2i2i2i−2i−2i11-1-111-1-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−3−333−3−333−i−i−i−iiiii−i−i−i−iiiii000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-100000000111111113333−3−3−3−33333−3−3−3−322000000000000−2i−2i2i2i−2i−2i2i2i11-1-111-1-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3−3−333−3−333iiii−i−i−i−iiiii−i−i−i−i000000000000
χ3722222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-10000000011111111−3−3−3−33333−3−3−3−33333220000000000002i2i−2i−2i2i2i−2i−2i11-1-111-1-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i333−3−333−3−3−i−i−i−iiiii−i−i−i−iiiii000000000000
χ3822222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-10000000011111111−3−3−3−33333−3−3−3−3333322000000000000−2i−2i2i2i−2i−2i2i2i11-1-111-1-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i333−3−333−3−3iiii−i−i−i−iiiii−i−i−i−i000000000000
χ39222-2-22-2-2220-2000-222-22-2-22-2−i2−i2i2i2−i2−i2i2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200002-2002-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-2002-20000002-22-200002-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ40222-2-22-2-2220-2000-222-22-2-22-2−i2−i2i2i2−i2−i2i2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000-2200-22−i2i2−i2i2i2−i2i2−i2i2−i2i2−i22-2002-2000000-22-220000-22-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ41222-2-22-2-2220-2000-222-22-2-22-2i2i2−i2−i2i2i2−i2−i200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200002-2002-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-2002-20000002-22-200002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ42222-2-22-2-2220-2000-222-22-2-22-2i2i2−i2−i2i2i2−i2−i200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000-2200-22i2−i2i2−i2−i2i2−i2i2−i2i2−i2i22-2002-2000000-22-220000-22-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ43222-2-22-2-22-2020002-22-22-2-22-2−i2−i2i2i2−i2−i2i2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2002i−2i002i−2i00i2−i2i2−i22−2−222−2−22-2200-22002i−2i2i−2i00002i−2i2i−2i0000i2−i2i2−i2i2−i2i2−i22−22−2−22−222−22−2−22−22000000000000
χ44222-2-22-2-22-2020002-22-22-2-22-2−i2−i2i2i2−i2−i2i2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200−2i2i00−2i2i00i2−i2i2−i2−222−2−222−2-2200-2200−2i2i−2i2i0000−2i2i−2i2i0000i2−i2i2−i2i2−i2i2−i2−22−222−22−2−22−222−22−2000000000000
χ45222-2-22-2-22-2020002-22-22-2-22-2i2i2−i2−i2i2i2−i2−i200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2002i−2i002i−2i00−i2i2−i2i2−222−2−222−2-2200-22002i−2i2i−2i00002i−2i2i−2i0000−i2i2−i2i2−i2i2−i2i2−22−222−22−2−22−222−22−2000000000000
χ46222-2-22-2-22-2020002-22-22-2-22-2i2i2−i2−i2i2i2−i2−i200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200−2i2i00−2i2i00−i2i2−i2i22−2−222−2−22-2200-2200−2i2i−2i2i0000−2i2i−2i2i0000−i2i2−i2i2−i2i2−i2i22−22−2−22−222−22−2−22−22000000000000
χ47222-2-22-2-2-120-2000-22-11-111-11−i2−i2i2i2−i2−i2i2i23−333−3−33−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300002-2002-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2-113−3-113−33−3−33-11-113−3−33-11-11ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ48222-2-22-2-2-120-2000-22-11-111-11−i2−i2i2i2−i2−i2i2i23−333−3−33−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000-2200-22−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2-113−3-113−3−333−31-11-1−333−31-11-1ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ49222-2-22-2-2-120-2000-22-11-111-11−i2−i2i2i2−i2−i2i2i2−33−3−333−33ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700002-2002-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2-11−33-11−33−333−3-11-11−333−3-11-11ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
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χ12144-44-4-4-44-20-40-44400-2-22-222200000000222-22-2-2-2−2323−232323−2323−23−2323−232323−2323−230000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12244-4-44-44-44000000004-4-4-44-44−2i22i22i2−2i2−2i22i22i2−2i200000000−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12344-4-44-44-44000000004-4-4-44-442i2−2i2−2i22i22i2−2i2−2i22i2000000002i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12444-4-44-44-4-200000000-2222-22-2−2i22i22i2−2i2−2i22i22i2−2i223−2323−23−2323−23232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ230000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12544-4-44-44-4-200000000-2222-22-2−2i22i22i2−2i2−2i22i22i2−2i2−2323−232323−2323−232ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ70000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12644-4-44-44-4-200000000-2222-22-22i2−2i2−2i22i22i2−2i2−2i22i223−2323−23−2323−2323−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ230000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12744-4-44-44-4-200000000-2222-22-22i2−2i2−2i22i22i2−2i2−2i22i2−2323−232323−2323−23−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ70000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1284-4-44-444-440-404-4400-4-4-44-44400000000-4-44-44-44400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1294-4-44-444-4-2040-44-400222-22-2-24i−4i4i−4i−4i4i−4i4i-2-22-22-222−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1304-4-44-444-4-2040-44-400222-22-2-2−4i4i−4i4i4i−4i4i−4i-2-22-22-2222i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-4-44-444-4-20-404-4400222-22-2-20000000022-22-22-2-2−2i32i3−2i32i32i3−2i32i3−2i32i3−2i32i3−2i3−2i32i3−2i32i30000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1324-4-44-444-4-20-404-4400222-22-2-20000000022-22-22-2-22i3−2i32i3−2i3−2i32i3−2i32i3−2i32i3−2i32i32i3−2i32i3−2i30000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1334-4-4-444-44400000000-44-4-444-422−22−2222−222222−220000000022−22−222222−22−2222−222222−22−222222−220000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1344-4-4-444-44400000000-44-4-444-4−222222−2222−22−222200000000−222222−22−222222−2222−22−222222−22−22220000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-4-444-44-2000000002-222-2-2222−22−2222−222222−2223−23−232323−23−23232ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ70000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1364-4-4-444-44-2000000002-222-2-2222−22−2222−222222−22−232323−23−232323−232ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ230000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-4-444-44-2000000002-222-2-22−222222−2222−22−222223−23−232323−23−2323−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ70000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1384-4-4-444-44-2000000002-222-2-22−222222−2222−22−2222−232323−23−232323−23−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ230000000000000000000000000000000000000000000000000000000000000000000000000000000000

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