Finite Group Databasebeta

← Group #11781581

Character table — Group #11781581

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444444444444666666666666888888888888888881212121212121212121212121212121212122424242424244848487272144
order1222334444666666121212123444446661212121212121212121212121212121212121212888824242424242424241212121212121212121212121212121212888888242424242424242424242424882424242441212884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111111-1-11-1-11111111111-1-1-1-1-1-1-1-111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-111-1
χ6111111111111111111111-1-11-1-11111111111-1-1-1-1-1-1-1-111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ7111111111111111111111-1-11-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-11
χ8111111111111111111111-1-11-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111111-1
χ92222222-2-22222222-2-2-2-2222-2-2-2222-2-2222-2-22222-2-2-2-2-2-2-2-2200000000000022-2-2-222-2-22222-2-2-2-2000000000000000000000000000000
χ102222222-2-22222222-2-2-2-22-2-2-222222-2-2222-2-2-2-2-2-22222-2-2-2-22000000000000-2-2-22222-2-2-2-2-2-22222000000000000000000000000000000
χ11222222-222-22222222222200-20022222-2-2-2-2-2000000002222-222222222222200-200-2-2-2-200000000-2-20000-2-2-2-200000000000000000000
χ12222222-222-22222222222200-20022222-2-2-2-2-2000000002222-2-2-2-2-2-2-2-2-2-2-2-2-200-200-2-2-2-200000000220000222200000000000000000000
χ13222222-2-2-2-2222222-2-2-2-2200200222-2-2-2-2-22200000000-2-2-2-2-200000000000000200-2-22200000000002i2i−2i−2i00002i2i2i2i−2i−2i−2i−2i000000000000
χ14222222-2-2-2-2222222-2-2-2-2200200222-2-2-2-2-22200000000-2-2-2-2-200000000000000200-2-2220000000000−2i−2i2i2i0000−2i−2i−2i−2i2i2i2i2i000000000000
χ1522222-122222-122-1-12222-122222-1-1-1-1-122-12222222222-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-12-1-1000
χ1622222-122222-122-1-12222-122222-1-1-1-1-122-12222222222-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-21111-211000
χ1722222-122222-122-1-12222-1-2-22-2-2-1-1-1-1-122-122-2-2-2-2-2-2-2-2-1-1-1-1-100000000000011-111-1-1-1-11111111100000000000000000022-1-1-1-1-211000
χ1822222-122222-122-1-12222-1-2-22-2-2-1-1-1-1-122-122-2-2-2-2-2-2-2-2-1-1-1-1-100000000000011-111-1-1-1-111111111000000000000000000-2-211112-1-1000
χ1922222-12-2-222-122-1-1-2-2-2-2-122-2-2-2-1-1-11122-1-2-22222-2-2-2-21111-1000000000000-1-1111-1-111-1-1-1-1111100000000000000000000−i3−i3i3i30−i3i3000
χ2022222-12-2-222-122-1-1-2-2-2-2-122-2-2-2-1-1-11122-1-2-22222-2-2-2-21111-1000000000000-1-1111-1-111-1-1-1-1111100000000000000000000i3i3−i3−i30i3−i3000
χ2122222-12-2-222-122-1-1-2-2-2-2-1-2-2-222-1-1-11122-1-2-2-2-2-2-222221111-1000000000000111-1-1-1-1111111-1-1-1-100000000000000000000−i3−i3i3i30i3−i3000
χ2222222-12-2-222-122-1-1-2-2-2-2-1-2-2-222-1-1-11122-1-2-2-2-2-2-222221111-1000000000000111-1-1-1-1111111-1-1-1-100000000000000000000i3i3−i3−i30−i3i3000
χ232222-122222-12-1-122-1-1-1-1-122222-1-1-122-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ242222-122222-12-1-122-1-1-1-1-122222-1-1-122-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-21111111122222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111000000000000
χ252222-122222-12-1-122-1-1-1-1-1-2-22-2-2-1-1-122-1-12-1-111111111-1-1-1-122222-1-1-1-1-1-1-1-1-2-22-2-2-1-1-1-11111111122-2-2-2-2-1-1-1-111111111000000000000
χ262222-122222-12-1-122-1-1-1-1-1-2-22-2-2-1-1-122-1-12-1-111111111-1-1-1-12-2-2-2-211111111-2-22-2-2-1-1-1-111111111-2-222221111-1-1-1-1-1-1-1-1000000000000
χ272222-122-2-22-12-1-1221111-122-2-2-2-1-1-1-2-2-1-1211-1-1-1-111111111200003333−3−3−3−322-2-2-2-1-111-1-1-1-1111100000033−3−333−3−333−3−3000000000000
χ282222-122-2-22-12-1-1221111-122-2-2-2-1-1-1-2-2-1-1211-1-1-1-11111111120000−3−3−3−3333322-2-2-2-1-111-1-1-1-11111000000−3−333−3−333−3−333000000000000
χ292222-122-2-22-12-1-1221111-1-2-2-222-1-1-1-2-2-1-12111111-1-1-1-11111200003333−3−3−3−3-2-2-222-1-1111111-1-1-1-100000033−3−3−3−333−3−333000000000000
χ302222-122-2-22-12-1-1221111-1-2-2-222-1-1-1-2-2-1-12111111-1-1-1-1111120000−3−3−3−33333-2-2-222-1-1111111-1-1-1-1000000−3−33333−3−333−3−3000000000000
χ312222-12-222-2-12-1-122-1-1-1-1-100-200-1-1-12211-211−i3−i3i3i3−i3−i3i3i3-1-1-1-1-22222-1-1-1-1-1-1-1-100-2001111−i3−i3i3i3−i3−i3i3i3-2-200001111−i3−i3i3i3i3i3−i3−i3000000000000
χ322222-12-222-2-12-1-122-1-1-1-1-100-200-1-1-12211-211−i3−i3i3i3−i3−i3i3i3-1-1-1-1-2-2-2-2-21111111100-2001111−i3−i3i3i3−i3−i3i3i3220000-1-1-1-1i3i3−i3−i3−i3−i3i3i3000000000000
χ332222-12-222-2-12-1-122-1-1-1-1-100-200-1-1-12211-211i3i3−i3−i3i3i3−i3−i3-1-1-1-1-22222-1-1-1-1-1-1-1-100-2001111i3i3−i3−i3i3i3−i3−i3-2-200001111i3i3−i3−i3−i3−i3i3i3000000000000
χ342222-12-222-2-12-1-122-1-1-1-1-100-200-1-1-12211-211i3i3−i3−i3i3i3−i3−i3-1-1-1-1-2-2-2-2-21111111100-2001111i3i3−i3−i3i3i3−i3−i3220000-1-1-1-1−i3−i3i3i3i3i3−i3−i3000000000000
χ352222-12-2-2-2-2-12-1-1221111-100200-1-1-1-2-211-2-1-1−i3−i3i3i3i3i3−i3−i31111-200003333−3−3−3−30020011-1-1−i3−i3i3i3i3i3−i3−i3002i2i−2i−2i−3−333−i−i−i−iiiii000000000000
χ362222-12-2-2-2-2-12-1-1221111-100200-1-1-1-2-211-2-1-1−i3−i3i3i3i3i3−i3−i31111-20000−3−3−3−333330020011-1-1−i3−i3i3i3i3i3−i3−i300−2i−2i2i2i33−3−3iiii−i−i−i−i000000000000
χ372222-12-2-2-2-2-12-1-1221111-100200-1-1-1-2-211-2-1-1i3i3−i3−i3−i3−i3i3i31111-200003333−3−3−3−30020011-1-1i3i3−i3−i3−i3−i3i3i300−2i−2i2i2i−3−333iiii−i−i−i−i000000000000
χ382222-12-2-2-2-2-12-1-1221111-100200-1-1-1-2-211-2-1-1i3i3−i3−i3−i3−i3i3i31111-20000−3−3−3−333330020011-1-1i3i3−i3−i3−i3−i3i3i3002i2i−2i−2i33−3−3−i−i−i−iiiii000000000000
χ3922-2-222200-2-2-22-22-2000022-2000-22-2002-22002-22-200000000-222−2−222−2−222−2−22-20002-2002-22-200002−22−22−22−22−22−22−22−22−2000000000000
χ4022-2-222200-2-2-22-22-2000022-2000-22-2002-22002-22-200000000-2−2−222−2−222−2−2222-20002-2002-22-20000−22−22−22−22−22−22−22−22−22000000000000
χ4122-2-222200-2-2-22-22-200002-22000-22-2002-2200-22-2200000000-222−2−222−2−222−2−2-220002-200-22-2200002−2−22−222−22−2−22−22−22−22000000000000
χ4222-2-222200-2-2-22-22-200002-22000-22-2002-2200-22-2200000000-2−2−222−2−222−2−222-220002-200-22-220000−222−22−2−22−222−22−22−22−2000000000000
χ4322-2-222-2002-2-22-22-2000020002i−2i-22-200-22-20000002i−2i2i−2i0000222−2−222−2−222−2−20002i−2i-220000002i−2i2i−2i−22−i2i2i2−i2−22−22−i2i2−i2i2i2−i2i2−i2000000000000
χ4422-2-222-2002-2-22-22-2000020002i−2i-22-200-22-20000002i−2i2i−2i00002−2−222−2−222−2−2220002i−2i-220000002i−2i2i−2i2−2i2−i2−i2i22−22−2i2−i2i2−i2−i2i2−i2i2000000000000
χ4522-2-222-2002-2-22-22-200002000−2i2i-22-200-22-2000000−2i2i−2i2i0000222−2−222−2−222−2−2000−2i2i-22000000−2i2i−2i2i−22i2−i2−i2i2−22−22i2−i2i2−i2−i2i2−i2i2000000000000
χ4622-2-222-2002-2-22-22-200002000−2i2i-22-200-22-2000000−2i2i−2i2i00002−2−222−2−222−2−222000−2i2i-22000000−2i2i−2i2i2−2−i2i2i2−i22−22−2−i2i2−i2i2i2−i2i2−i2000000000000
χ4722-2-2-12200-21-2-112-23−33−3-12-20001-1100-1123−3-11-113−3−3333−3−3-222−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ72-2000-113−3-11-113−3−332−22−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ4822-2-2-12200-21-2-112-23−33−3-12-20001-1100-1123−3-11-113−3−3333−3−3-2−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ72-2000-113−3-11-113−3−33−22−22−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ4922-2-2-12200-21-2-112-23−33−3-1-220001-1100-1123−31-11-1−333−333−3−3-222−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7-22000-113−31-11-1−333−32−2−22−22ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ5022-2-2-12200-21-2-112-23−33−3-1-220001-1100-1123−31-11-1−333−333−3−3-2−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7-22000-113−31-11-1−333−3−222−22−2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ5122-2-2-12200-21-2-112-2−33−33-12-20001-1100-112−33-11-11−333−3−3−333-222−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ232-2000-11−33-11-11−333−32−22−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ5222-2-2-12200-21-2-112-2−33−33-12-20001-1100-112−33-11-11−333−3−3−333-2−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ232-2000-11−33-11-11−333−3−22−22−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ5322-2-2-12200-21-2-112-2−33−33-1-220001-1100-112−331-11-13−3−33−3−333-222−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23-22000-11−331-11-13−3−332−2−22−22ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ5422-2-2-12200-21-2-112-2−33−33-1-220001-1100-112−331-11-13−3−33−3−333-2−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23-22000-11−331-11-13−3−33−222−22−2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ5522-2-2-12-20021-2-112-23−33−3-10002i−2i1-11001-1-2−33−i3i3i3−i3−ii−ii33−3−3222−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70002i−2i1-1−33−i3i3i3−i3−ii−ii−22−i2i2i2−i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ5622-2-2-12-20021-2-112-23−33−3-10002i−2i1-11001-1-2−33−i3i3i3−i3−ii−ii33−3−32−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70002i−2i1-1−33−i3i3i3−i3−ii−ii2−2i2−i2−i2i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ5722-2-2-12-20021-2-112-23−33−3-1000−2i2i1-11001-1-2−33i3−i3−i3i3i−ii−i33−3−3222−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7000−2i2i1-1−33i3−i3−i3i3i−ii−i−22i2−i2−i2i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ5822-2-2-12-20021-2-112-23−33−3-1000−2i2i1-11001-1-2−33i3−i3−i3i3i−ii−i33−3−32−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7000−2i2i1-1−33i3−i3−i3i3i−ii−i2−2−i2i2i2−i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ5922-2-2-12-20021-2-112-2−33−33-10002i−2i1-11001-1-23−3i3−i3−i3i3−ii−ii−3−333222−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230002i−2i1-13−3i3−i3−i3i3−ii−ii−22−i2i2i2−i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ6022-2-2-12-20021-2-112-2−33−33-10002i−2i1-11001-1-23−3i3−i3−i3i3−ii−ii−3−3332−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230002i−2i1-13−3i3−i3−i3i3−ii−ii2−2i2−i2−i2i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ6122-2-2-12-20021-2-112-2−33−33-1000−2i2i1-11001-1-23−3−i3i3i3−i3i−ii−i−3−333222−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23000−2i2i1-13−3−i3i3i3−i3i−ii−i−22i2−i2−i2i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ6222-2-2-12-20021-2-112-2−33−33-1000−2i2i1-11001-1-23−3−i3i3i3−i3i−ii−i−3−3332−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23000−2i2i1-13−3−i3i3i3−i3i−ii−i2−2−i2i2i2−i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ632-2-22220-22022-2-2-2-2-2-2222000002-2-22-200000000000002-22-202i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000002−22−22−2000−i2i20
χ642-2-22220-22022-2-2-2-2-2-2222000002-2-22-200000000000002-22-202i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000−22−22−22000i2−i20
χ652-2-22220-22022-2-2-2-2-2-2222000002-2-22-200000000000002-22-20−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000002−22−22−2000i2−i20
χ662-2-22220-22022-2-2-2-2-2-2222000002-2-22-200000000000002-22-20−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000−22−22−22000−i2i20
χ6744444-2-444-44-244-2-24444-200-400-2-2-2-2-2-4-42-4-400000000-2-2-2-2200000000000000200222200000000000000000000000000000000000000
χ6844444-2-4-4-4-44-244-2-2-4-4-4-4-200400-2-2-222-4-4244000000002222200000000000000-20022-2-200000000000000000000000000000000000000
χ694444-2-24444-2-2-2-2-2-2-2-2-2-2144444111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2000000000000-2-2-2-2-2111111111111000000000000000000000000000000
χ704444-2-24444-2-2-2-2-2-2-2-2-2-21-4-44-4-4111-2-2-2-2-2-2-2222222221111-200000000000022-2221111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ714444-2-24-4-44-2-2-2-2-2-22222144-4-4-411122-2-2-222-2-2-2-22222-1-1-1-1-2000000000000-2-222211-1-11111-1-1-1-1000000000000000000000000000000
χ724444-2-24-4-44-2-2-2-2-2-222221-4-4-44411122-2-2-2222222-2-2-2-2-1-1-1-1-2000000000000222-2-211-1-1-1-1-1-11111000000000000000000000000000000
χ734444-2-2-444-4-2-2-2-2-2-2-2-2-2-2100-400111-2-222222−2i3−2i32i32i3−2i3−2i32i32i31111200000000000000200-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ744444-2-2-444-4-2-2-2-2-2-2-2-2-2-2100-400111-2-2222222i32i3−2i3−2i32i32i3−2i3−2i31111200000000000000200-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ754444-2-2-4-4-4-4-2-2-2-2-2-2222210040011122222-2-2−2i3−2i32i32i32i32i3−2i3−2i3-1-1-1-1200000000000000-200-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000
χ764444-2-2-4-4-4-4-2-2-2-2-2-2222210040011122222-2-22i32i3−2i3−2i3−2i3−2i32i32i3-1-1-1-1200000000000000-200-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000
χ7744-4-44-2400-4-424-4-220000-24-40002-22004-4-2004-44-4000000002000000000000-22000-2200-22-220000000000000000000000000000000000
χ7844-4-44-2400-4-424-4-220000-2-440002-22004-4-200-44-440000000020000000000002-2000-22002-22-20000000000000000000000000000000000
χ7944-4-44-2-4004-424-4-220000-20004i−4i2-2200-4420000004i−4i4i−4i0000-2000000000000000−2i2i2-2000000−2i2i−2i2i000000000000000000000000000000
χ8044-4-44-2-4004-424-4-220000-2000−4i4i2-2200-442000000−4i4i−4i4i0000-20000000000000002i−2i2-20000002i−2i2i−2i000000000000000000000000000000
χ8144-4-4-2-2400-422-22-2223−2323−2314-4000-11-100-22-223−23-22-2223−23−2323−3−3332000000000000-220001-1−331-11-1−333−3000000000000000000000000000000
χ8244-4-4-2-2400-422-22-2223−2323−231-44000-11-100-22-223−232-22-2−232323−23−3−33320000000000002-20001-1−33-11-113−3−33000000000000000000000000000000
χ8344-4-4-2-2400-422-22-22−2323−232314-4000-11-100-22-2−2323-22-22−232323−2333−3−32000000000000-220001-13−31-11-13−3−33000000000000000000000000000000
χ8444-4-4-2-2400-422-22-22−2323−23231-44000-11-100-22-2−23232-22-223−23−232333−3−320000000000002-20001-13−3-11-11−333−3000000000000000000000000000000
χ8544-4-4-2-2-400422-22-2223−2323−2310004i−4i-11-1002-22−2323−2i32i32i3−2i3−2i2i−2i2i−3−333-2000000000000000−2i2i-113−3i3−i3−i3i3i−ii−i000000000000000000000000000000
χ8644-4-4-2-2-400422-22-2223−2323−231000−4i4i-11-1002-22−23232i3−2i3−2i32i32i−2i2i−2i−3−333-20000000000000002i−2i-113−3−i3i3i3−i3−ii−ii000000000000000000000000000000
χ8744-4-4-2-2-400422-22-22−2323−232310004i−4i-11-1002-2223−232i3−2i3−2i32i3−2i2i−2i2i33−3−3-2000000000000000−2i2i-11−33−i3i3i3−i3i−ii−i000000000000000000000000000000
χ8844-4-4-2-2-400422-22-22−2323−23231000−4i4i-11-1002-2223−23−2i32i32i3−2i32i−2i2i−2i33−3−3-20000000000000002i−2i-11−33i3−i3−i3i3−ii−ii000000000000000000000000000000
χ894-44-4440000-4-4-44-440000400000-4-4400000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000000000000000
χ904-44-4440000-4-4-44-440000400000-4-44000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000000000000000
χ914-44-4-2400002-42-2-4423−23−2323-20000022-2000000000000000−232323−230−2i22i22i2−2i22ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ700000000000000000000000000000000000000000000000
χ924-44-4-2400002-42-2-4423−23−2323-20000022-2000000000000000−232323−2302i2−2i2−2i22i2−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ700000000000000000000000000000000000000000000000
χ934-44-4-2400002-42-2-44−232323−23-20000022-200000000000000023−23−23230−2i22i22i2−2i22ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ2300000000000000000000000000000000000000000000000
χ944-44-4-2400002-42-2-44−232323−23-20000022-200000000000000023−23−232302i2−2i2−2i22i2−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ2300000000000000000000000000000000000000000000000
χ954-4-444404-4044-4-4-4-444-4-44000004-4-4-440000000000000-44-44000000000000000000000000000000000000000000000000000000000000
χ964-4-444-204-404-2-4-42244-4-4-200000-2222-200000000000002-22-200000000000000000000000000000000000000000000000000i6−i6−i6i6000000
χ974-4-444-204-404-2-4-42244-4-4-200000-2222-200000000000002-22-200000000000000000000000000000000000000000000000000−i6i6i6−i6000000
χ984-4-444-20-4404-2-4-422-4-444-200000-222-220000000000000-22-2200000000000000000000000000000000000000000000000022−22−22−22000000
χ994-4-444-20-4404-2-4-422-4-444-200000-222-220000000000000-22-22000000000000000000000000000000000000000000000000−22222−22−2000000
χ1004-4-44-2404-40-2422-4-4-2-222-200000-222-4400000000000002-22-200000−2i32i3−2i32i32i3−2i32i3−2i300000000000000000000000000000000000000000000000
χ1014-4-44-2404-40-2422-4-4-2-222-200000-222-4400000000000002-22-2000002i3−2i32i3−2i3−2i32i3−2i32i300000000000000000000000000000000000000000000000
χ1024-4-44-240-440-2422-4-422-2-2-200000-2224-40000000000000-22-2204i−4i4i−4i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000
χ1034-4-44-240-440-2422-4-422-2-2-200000-2224-40000000000000-22-220−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000
χ1048-88-88-40000-84-884-40000-40000044-40000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-40000444-44-443−43−4343200000-2-2200000000000000023−23−2323000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-40000444-44-4−434343−43200000-2-22000000000000000−232323−23000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-408-80-4-44444-4-4442000002-2-24-40000000000000-22-22000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-40-880-4-4444444-4-42000002-2-2-4400000000000002-22-2000000000000000000000000000000000000000000000000000000000000

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