Finite Group Databasebeta

← Group #10696945

Character table — Group #10696945

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222222222222244444444444444444444444444444444448888888888888888888888884848484848484848
order12222234444444466612121212121212121212121244668888888812121212121224242424242424242424242424242424888888882424242424242424242424242424242422444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-11-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ922222222-2-222-2-22222-2-2-2-22222-2-2-2-2-2-2220000000022-2-2-2-2000000000000000022-2-200002222-2-2-2-20000000000000000
χ1022222222-2-222-2-22222-2-2-2-22222-2-2-2-2-2-2220000000022-2-2-2-20000000000000000-2-2220000-2-2-2-222220000000000000000
χ112222222-222-2-2-2-2-22222222-2-2-2-2-2-2-2-22-22200000000-2-222-2-200000000000000000000000000000000000000000000002i−2i
χ122222222-222-2-2-2-2-22222222-2-2-2-2-2-2-2-22-22200000000-2-222-2-20000000000000000000000000000000000000000000000−2i2i
χ132222222-2-2-2-2-222-2222-2-2-2-2-2-2-2-22222-222200000000-2-2-2-22200000000000000000000000000000000000000000002-2000
χ142222222-2-2-2-2-222-2222-2-2-2-2-2-2-2-22222-222200000000-2-2-2-2220000000000000000000000000000000000000000000-22000
χ15222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ16222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000
χ17222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000
χ18222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000
χ19222222-12-2-222-2-22-1-1-11111-1-1-1-11111-2-2-1-100000000-1-1111133333333−3−3−3−3−3−3−3−322-2-20000-1-1-1-111113333−3−3−3−300000000
χ20222222-12-2-222-2-22-1-1-11111-1-1-1-11111-2-2-1-100000000-1-1111133333333−3−3−3−3−3−3−3−3-2-22200001111-1-1-1-1−3−3−3−3333300000000
χ21222222-12-2-222-2-22-1-1-11111-1-1-1-11111-2-2-1-100000000-1-11111−3−3−3−3−3−3−3−33333333322-2-20000-1-1-1-11111−3−3−3−3333300000000
χ22222222-12-2-222-2-22-1-1-11111-1-1-1-11111-2-2-1-100000000-1-11111−3−3−3−3−3−3−3−333333333-2-22200001111-1-1-1-13333−3−3−3−300000000
χ232222-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2-22-2-22222-2-2-2-222-2-2222222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ242222-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2-22-2-2-2-2-2-2222222-2-222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ252222-2-222-2-2-2-2222222-2-2-2-2-2-2-2-222222-2-2-2000000002222-2-20000000000000000000022-2-20000000022-2-222-2-200000000
χ262222-2-222-2-2-2-2222222-2-2-2-2-2-2-2-222222-2-2-2000000002222-2-200000000000000000000-2-22200000000-2-222-2-22200000000
χ272222-2-22-2222222-2222222222222222-2-2-2-200000000-2-2-2-2-2-2000000000000000000000000000000000000000000200-200
χ282222-2-22-2222222-2222222222222222-2-2-2-200000000-2-2-2-2-2-2000000000000000000000000000000000000000000-200200
χ292222-2-22-2-2-222-2-2-2222-2-2-2-22222-2-2-2-222-2-200000000-2-2222200000000000000000000000000000000000000002-2000000
χ302222-2-22-2-2-222-2-2-2222-2-2-2-22222-2-2-2-222-2-200000000-2-222220000000000000000000000000000000000000000-22000000
χ312222-2-2-1222-2-2-2-22-1-1-1-1-1-1-111111111-22112222-2-2-2-2-1-111-1-1-1-1-1-11111-1-1-1-111110000000033−3−333−3−333−3−3−3−33300000000
χ322222-2-2-1222-2-2-2-22-1-1-1-1-1-1-111111111-22112222-2-2-2-2-1-111-1-1-1-1-1-11111-1-1-1-1111100000000−3−333−3−333−3−33333−3−300000000
χ332222-2-2-1222-2-2-2-22-1-1-1-1-1-1-111111111-2211-2-2-2-22222-1-111-1-11111-1-1-1-11111-1-1-1-10000000033−3−333−3−3−3−33333−3−300000000
χ342222-2-2-1222-2-2-2-22-1-1-1-1-1-1-111111111-2211-2-2-2-22222-1-111-1-11111-1-1-1-11111-1-1-1-100000000−3−333−3−33333−3−3−3−33300000000
χ352222-2-2-12-2-2-2-2222-1-1-111111111-1-1-1-12-21100000000-1-1-1-1113333−3−3−3−3−3−3−3−33333000022-2-2−3−33333−3−3-1-111-1-11100000000
χ362222-2-2-12-2-2-2-2222-1-1-111111111-1-1-1-12-21100000000-1-1-1-1113333−3−3−3−3−3−3−3−333330000-2-22233−3−3−3−33311-1-111-1-100000000
χ372222-2-2-12-2-2-2-2222-1-1-111111111-1-1-1-12-21100000000-1-1-1-111−3−3−3−333333333−3−3−3−3000022-2-233−3−3−3−333-1-111-1-11100000000
χ382222-2-2-12-2-2-2-2222-1-1-111111111-1-1-1-12-21100000000-1-1-1-111−3−3−3−333333333−3−3−3−30000-2-222−3−33333−3−311-1-111-1-100000000
χ3922-2-22-22-2002-20022-2-2000022-2-20000002-2−i2−i2i2i2−i2−i2i2i22-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2002i−2i2−22−200002i−2i2i−2i2−22−22−22−200000000
χ4022-2-22-22-2002-20022-2-2000022-2-20000002-2−i2−i2i2i2−i2−i2i2i22-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200−2i2i−22−220000−2i2i−2i2i−22−22−22−2200000000
χ4122-2-22-22-2002-20022-2-2000022-2-20000002-2i2i2−i2−i2i2i2−i2−i22-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2002i−2i−22−2200002i−2i2i−2i−22−22−22−2200000000
χ4222-2-22-22-2002-20022-2-2000022-2-20000002-2i2i2−i2−i2i2i2−i2−i22-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200−2i2i2−22−20000−2i2i−2i2i2−22−22−22−200000000
χ4322-2-22-2-1-2002-2002-11133−3−3-1-11133−3−300-11−i2−i2i2i2−i2−i2i2i2-113−33−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23002i−2i2−22−2−i3i3−i3i3−ii−iiζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ2300000000
χ4422-2-22-2-1-2002-2002-11133−3−3-1-11133−3−300-11−i2−i2i2i2−i2−i2i2i2-113−33−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300−2i2i−22−22i3−i3i3−i3i−ii−i−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ2300000000
χ4522-2-22-2-1-2002-2002-11133−3−3-1-11133−3−300-11i2i2−i2−i2i2i2−i2−i2-113−33−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23002i−2i−22−22−i3i3−i3i3−ii−ii−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ2300000000
χ4622-2-22-2-1-2002-2002-11133−3−3-1-11133−3−300-11i2i2−i2−i2i2i2−i2−i2-113−33−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300−2i2i2−22−2i3−i3i3−i3i−ii−iζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ2300000000
χ4722-2-22-2-1-2002-2002-111−3−333-1-111−3−33300-11−i2−i2i2i2−i2−i2i2i2-11−33−33ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7002i−2i2−22−2i3−i3i3−i3−ii−iiζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ700000000
χ4822-2-22-2-1-2002-2002-111−3−333-1-111−3−33300-11−i2−i2i2i2−i2−i2i2i2-11−33−33ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700−2i2i−22−22−i3i3−i3i3i−ii−i−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ700000000
χ4922-2-22-2-1-2002-2002-111−3−333-1-111−3−33300-11i2i2−i2−i2i2i2−i2−i2-11−33−33−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7002i−2i−22−22i3−i3i3−i3−ii−ii−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ700000000
χ5022-2-22-2-1-2002-2002-111−3−333-1-111−3−33300-11i2i2−i2−i2i2i2−i2−i2-11−33−33−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700−2i2i2−22−2−i3i3−i3i3i−ii−iζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ700000000
χ5122-2-2-222-200-220022-2-20000-2-222000000-22−i2−i2i2i2i2i2−i2−i22-20000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i22i−2i002−2−22−2i2i2i−2i00002−2−222−2−2200000000
χ5222-2-2-222-200-220022-2-20000-2-222000000-22−i2−i2i2i2i2i2−i2−i22-20000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−2i2i00−222−22i−2i−2i2i0000−222−2−222−200000000
χ5322-2-2-222-200-220022-2-20000-2-222000000-22i2i2−i2−i2−i2−i2i2i22-20000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i22i−2i00−222−2−2i2i2i−2i0000−222−2−222−200000000
χ5422-2-2-222-200-220022-2-20000-2-222000000-22i2i2−i2−i2−i2−i2i2i22-20000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−2i2i002−2−222i−2i−2i2i00002−2−222−2−2200000000
χ5522-2-2-22-1-200-22002-11133−3−311-1-1−3−333001-1−i2−i2i2i2i2i2−i2−i2-11−333−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ232i−2i002−2−22i−i−ii−i3i3i3−i3ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ700000000
χ5622-2-2-22-1-200-22002-11133−3−311-1-1−3−333001-1−i2−i2i2i2i2i2−i2−i2-11−333−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−2i2i00−222−2−iii−ii3−i3−i3i3−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ700000000
χ5722-2-2-22-1-200-22002-11133−3−311-1-1−3−333001-1i2i2−i2−i2−i2−i2i2i2-11−333−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ232i−2i00−222−2i−i−ii−i3i3i3−i3−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ700000000
χ5822-2-2-22-1-200-22002-11133−3−311-1-1−3−333001-1i2i2−i2−i2−i2−i2i2i2-11−333−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−2i2i002−2−22−iii−ii3−i3−i3i3ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ700000000
χ5922-2-2-22-1-200-22002-111−3−33311-1-133−3−3001-1−i2−i2i2i2i2i2−i2−i2-113−3−33ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ72i−2i002−2−22i−i−iii3−i3−i3i3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ2300000000
χ6022-2-2-22-1-200-22002-111−3−33311-1-133−3−3001-1−i2−i2i2i2i2i2−i2−i2-113−3−33ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−2i2i00−222−2−iii−i−i3i3i3−i3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ2300000000
χ6122-2-2-22-1-200-22002-111−3−33311-1-133−3−3001-1i2i2−i2−i2−i2−i2i2i2-113−3−33−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ72i−2i00−222−2i−i−iii3−i3−i3i3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ2300000000
χ6222-2-2-22-1-200-22002-111−3−33311-1-133−3−3001-1i2i2−i2−i2−i2−i2i2i2-113−3−33−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−2i2i002−2−22−iii−i−i3i3i3−i3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ2300000000
χ63444444-2-444-4-4-4-4-4-2-2-2-2-2-2-2222222224-4-2-20000000022-2-222000000000000000000000000000000000000000000000000
χ64444444-2-4-4-4-4-444-4-2-2-222222222-2-2-2-2-44-2-2000000002222-2-2000000000000000000000000000000000000000000000000
χ654444-4-4-2-4444444-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-42200000000222222000000000000000000000000000000000000000000000000
χ664444-4-4-2-4-4-444-4-4-4-2-2-22222-2-2-2-2222244220000000022-2-2-2-2000000000000000000000000000000000000000000000000
χ6744-4-44-44400-4400-44-4-40000-4-4440000004-400000000-440000000000000000000000000000000000000000000000000000
χ6844-4-44-4-2400-4400-4-2222323−23−2322-2-2−23−23232300-22000000002-223−23−2323000000000000000000000000000000000000000000000000
χ6944-4-44-4-2400-4400-4-222−23−23232322-2-22323−23−2300-22000000002-2−232323−23000000000000000000000000000000000000000000000000
χ7044-4-4-4444004-400-44-4-4000044-4-4000000-4400000000-440000000000000000000000000000000000000000000000000000
χ7144-4-4-44-24004-400-4-2222323−23−23-2-2222323−23−23002-2000000002-2−2323−2323000000000000000000000000000000000000000000000000
χ7244-4-4-44-24004-400-4-222−23−232323-2-222−23−232323002-2000000002-223−2323−23000000000000000000000000000000000000000000000000
χ734-44-400404-400000-44-44-44-40000000000000000−2i22i2−2i22i20000000000−2i22i2−2i22i20000−2i22i2−2i22i200000000000000000000000000000000
χ744-44-400404-400000-44-44-44-400000000000000002i2−2i22i2−2i200000000002i2−2i22i2−2i200002i2−2i22i2−2i200000000000000000000000000000000
χ754-44-40040-4400000-44-4-44-44000000000000−2i22i2−2i22i20000000000−2i22i2−2i22i20000−2i22i2−2i22i2000000000000000000000000000000000000
χ764-44-40040-4400000-44-4-44-440000000000002i2−2i22i2−2i200000000002i2−2i22i2−2i200002i2−2i22i2−2i2000000000000000000000000000000000000
χ774-44-400-204-4000002-22-22-2223−2323−2323−2323−2300000000−2i22i2−2i22i2000000i6−i6i6−i6i2−i2i2−i2−i6i6−i6i6i2−i2i2−i200000000000000000000000000000000
χ784-44-400-204-4000002-22-22-2223−2323−2323−2323−23000000002i2−2i22i2−2i2000000−i6i6−i6i6−i2i2−i2i2i6−i6i6−i6−i2i2−i2i200000000000000000000000000000000
χ794-44-400-204-4000002-22-22-22−2323−2323−2323−232300000000−2i22i2−2i22i2000000−i6i6−i6i6i2−i2i2−i2i6−i6i6−i6i2−i2i2−i200000000000000000000000000000000
χ804-44-400-204-4000002-22-22-22−2323−2323−2323−2323000000002i2−2i22i2−2i2000000i6−i6i6−i6−i2i2−i2i2−i6i6−i6i6−i2i2−i2i200000000000000000000000000000000
χ814-44-400-20-44000002-222-22-223−2323−23−2323−23230000−2i22i2−2i22i20000000000i2−i2i2−i2−i6i6−i6i6i2−i2i2−i2i6−i6i6−i600000000000000000000000000000000
χ824-44-400-20-44000002-222-22-223−2323−23−2323−232300002i2−2i22i2−2i20000000000−i2i2−i2i2i6−i6i6−i6−i2i2−i2i2−i6i6−i6i600000000000000000000000000000000
χ834-44-400-20-44000002-222-22-2−2323−232323−2323−230000−2i22i2−2i22i20000000000i2−i2i2−i2i6−i6i6−i6i2−i2i2−i2−i6i6−i6i600000000000000000000000000000000
χ844-44-400-20-44000002-222-22-2−2323−232323−2323−2300002i2−2i22i2−2i20000000000−i2i2−i2i2−i6i6−i6i6−i2i2−i2i2i6−i6i6−i600000000000000000000000000000000
χ854-4-44004000004-40-4-44000000004-4-4400002-2-222-2-220000002-2-222-2-222-2-222-2-2200000000000000000000000000000000
χ864-4-44004000004-40-4-44000000004-4-440000-222-2-222-2000000-222-2-222-2-222-2-222-200000000000000000000000000000000
χ874-4-4400400000-440-4-4400000000-444-400002-2-22-222-20000002-2-22-222-22-2-22-222-200000000000000000000000000000000
χ884-4-4400400000-440-4-4400000000-444-40000-222-22-2-22000000-222-22-2-22-222-22-2-2200000000000000000000000000000000
χ894-4-4400-2000004-4022-223−23−2323−232323−23-222-200002-2-222-2-22000000−1+31−31−3−1+3−1−31+31+3−1−3−1−31+31+3−1−3−1+31−31−3−1+300000000000000000000000000000000
χ904-4-4400-2000004-4022-223−23−2323−232323−23-222-20000-222-2-222-20000001−3−1+3−1+31−31+3−1−3−1−31+31+3−1−3−1−31+31−3−1+3−1+31−300000000000000000000000000000000
χ914-4-4400-2000004-4022-2−232323−2323−23−2323-222-200002-2-222-2-22000000−1−31+31+3−1−3−1+31−31−3−1+3−1+31−31−3−1+3−1−31+31+3−1−300000000000000000000000000000000
χ924-4-4400-2000004-4022-2−232323−2323−23−2323-222-20000-222-2-222-20000001+3−1−3−1−31+31−3−1+3−1+31−31−3−1+3−1+31−31+3−1−3−1−31+300000000000000000000000000000000
χ934-4-4400-200000-44022-223−23−232323−23−23232-2-2200002-2-22-222-2000000−1+31−31−3−1+31+3−1−3−1−31+3−1−31+31+3−1−31−3−1+3−1+31−300000000000000000000000000000000
χ944-4-4400-200000-44022-223−23−232323−23−23232-2-220000-222-22-2-220000001−3−1+3−1+31−3−1−31+31+3−1−31+3−1−3−1−31+3−1+31−31−3−1+300000000000000000000000000000000
χ954-4-4400-200000-44022-2−232323−23−232323−232-2-2200002-2-22-222-2000000−1−31+31+3−1−31−3−1+3−1+31−3−1+31−31−3−1+31+3−1−3−1−31+300000000000000000000000000000000
χ964-4-4400-200000-44022-2−232323−23−232323−232-2-220000-222-22-2-220000001+3−1−3−1−31+3−1+31−31−3−1+31−3−1+3−1+31−3−1−31+31+3−1−300000000000000000000000000000000

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