Finite Group Databasebeta

← Group #11781184

Character table — Group #11781184

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444444444444666666666666888888888888888881212121212121212121212121212121212122424242424244848487272144
order122233444466666612121212223444666666612121212121212121212121212121212888824242424242424246666661212121212121212121212888888242424242424242424242424882424242441212884
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
χ511111111111111111111-1-11-1-11-1-1-1-11111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-111-1
χ611111111111111111111-1-11-1-11-1-1-1-11111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ711111111111111111111-1-11-1-11-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-11
χ811111111111111111111-1-11-1-11-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111111-1
χ92222222-2-22222222-2-2-2-2222-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-22000000000000222222-2-2-222-2-2-2-2-2-2000000000000000000000000000000
χ102222222-2-22222222-2-2-2-2-2-2222-2-2-2-2-2222222-2-2-2-22222-2-2-2-22000000000000-2-2-2-2-2-222-222-2-22222000000000000000000000000000000
χ11222222-222-2222222222200200-20000222-2-2-2-2-22200002222-222222222222200000000-2-2-2-2-20000-2-20000-2-2-2-200000000000000000000
χ12222222-222-2222222222200200-20000222-2-2-2-2-22200002222-2-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2-20000220000222200000000000000000000
χ13222222-2-2-2-2222222-2-2-2-20020020000222-2-2-222-2-20000-2-2-2-2-2000000000000000000002-2-2220000002i2i−2i−2i00002i2i2i2i−2i−2i−2i−2i000000000000
χ14222222-2-2-2-2222222-2-2-2-20020020000222-2-2-222-2-20000-2-2-2-2-2000000000000000000002-2-222000000−2i−2i2i2i0000−2i−2i−2i−2i2i2i2i2i000000000000
χ1522222-1222222-12-1-1222222-12222222-1-1-122-122-1-12222-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-12-1-1000
χ1622222-1222222-12-1-1222222-12222222-1-1-122-122-1-12222-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-21111-211000
χ1722222-1222222-12-1-12222-2-2-1-2-22-2-2-2-2-1-1-122-122-1-1-2-2-2-2-1-1-1-1-100000000000011111111-1-1-1-1-1111100000000000000000022-1-1-1-1-211000
χ1822222-1222222-12-1-12222-2-2-1-2-22-2-2-2-2-1-1-122-122-1-1-2-2-2-2-1-1-1-1-100000000000011111111-1-1-1-1-11111000000000000000000-2-211112-1-1000
χ1922222-12-2-2222-12-1-1-2-2-2-222-1-2-2-22222-1-1-122-1-2-211-2-2-2-21111-1000000000000-1-1-1-1-1-1111-1-111111100000000000000000000−i3−i3i3i30−i3i3000
χ2022222-12-2-2222-12-1-1-2-2-2-222-1-2-2-22222-1-1-122-1-2-211-2-2-2-21111-1000000000000-1-1-1-1-1-1111-1-111111100000000000000000000i3i3−i3−i30i3−i3000
χ2122222-12-2-2222-12-1-1-2-2-2-2-2-2-122-2-2-2-2-2-1-1-122-1-2-21122221111-1000000000000111111-1-11-1-111-1-1-1-100000000000000000000−i3−i3i3i30i3−i3000
χ2222222-12-2-2222-12-1-1-2-2-2-2-2-2-122-2-2-2-2-2-1-1-122-1-2-21122221111-1000000000000111111-1-11-1-111-1-1-1-100000000000000000000i3i3−i3−i30−i3i3000
χ232222-122222-1-12-122-1-1-1-122-1222-1-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ242222-122222-1-12-122-1-1-1-122-1222-1-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-12-2-2-2-21111111122-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111000000000000
χ252222-122222-1-12-122-1-1-1-1-2-2-1-2-221111-1-1-1-1-12-1-1221111-1-1-1-122222-1-1-1-1-1-1-1-1-2-21111-2-22-1-1-1-1111122-2-2-2-2-1-1-1-111111111000000000000
χ262222-122222-1-12-122-1-1-1-1-2-2-1-2-221111-1-1-1-1-12-1-1221111-1-1-1-12-2-2-2-211111111-2-21111-2-22-1-1-1-11111-2-222221111-1-1-1-1-1-1-1-1000000000000
χ272222-122-2-22-1-12-122111122-1-2-2-2-1-1-1-1-1-1-1-1-1211-2-211111111200003333−3−3−3−322-1-1-1-1-2-2-2-1-111111100000033−3−333−3−333−3−3000000000000
χ282222-122-2-22-1-12-122111122-1-2-2-2-1-1-1-1-1-1-1-1-1211-2-21111111120000−3−3−3−3333322-1-1-1-1-2-2-2-1-1111111000000−3−333−3−333−3−333000000000000
χ292222-122-2-22-1-12-1221111-2-2-122-21111-1-1-1-1-1211-2-2-1-1-1-11111200003333−3−3−3−3-2-2111122-2-1-111-1-1-1-100000033−3−3−3−333−3−333000000000000
χ302222-122-2-22-1-12-1221111-2-2-122-21111-1-1-1-1-1211-2-2-1-1-1-1111120000−3−3−3−33333-2-2111122-2-1-111-1-1-1-1000000−3−33333−3−333−3−3000000000000
χ312222-12-222-2-1-12-122-1-1-1-100-100-2−i3−i3i3i3-1-1-111-21122−i3−i3i3i3-1-1-1-1-22222-1-1-1-1-1-1-1-100−i3−i3i3i300-21111−i3−i3i3i3-2-200001111−i3−i3i3i3i3i3−i3−i3000000000000
χ322222-12-222-2-1-12-122-1-1-1-100-100-2−i3−i3i3i3-1-1-111-21122−i3−i3i3i3-1-1-1-1-2-2-2-2-21111111100−i3−i3i3i300-21111−i3−i3i3i3220000-1-1-1-1i3i3−i3−i3−i3−i3i3i3000000000000
χ332222-12-222-2-1-12-122-1-1-1-100-100-2i3i3−i3−i3-1-1-111-21122i3i3−i3−i3-1-1-1-1-22222-1-1-1-1-1-1-1-100i3i3−i3−i300-21111i3i3−i3−i3-2-200001111i3i3−i3−i3−i3−i3i3i3000000000000
χ342222-12-222-2-1-12-122-1-1-1-100-100-2i3i3−i3−i3-1-1-111-21122i3i3−i3−i3-1-1-1-1-2-2-2-2-21111111100i3i3−i3−i300-21111i3i3−i3−i3220000-1-1-1-1−i3−i3i3i3i3i3−i3−i3000000000000
χ352222-12-2-2-2-2-1-12-122111100-1002−i3−i3i3i3-1-1-111-2-1-1-2-2i3i3−i3−i31111-200003333−3−3−3−300−i3−i3i3i300211-1-1i3i3−i3−i3002i2i−2i−2i−3−333−i−i−i−iiiii000000000000
χ362222-12-2-2-2-2-1-12-122111100-1002−i3−i3i3i3-1-1-111-2-1-1-2-2i3i3−i3−i31111-20000−3−3−3−3333300−i3−i3i3i300211-1-1i3i3−i3−i300−2i−2i2i2i33−3−3iiii−i−i−i−i000000000000
χ372222-12-2-2-2-2-1-12-122111100-1002i3i3−i3−i3-1-1-111-2-1-1-2-2−i3−i3i3i31111-200003333−3−3−3−300i3i3−i3−i300211-1-1−i3−i3i3i300−2i−2i2i2i−3−333iiii−i−i−i−i000000000000
χ382222-12-2-2-2-2-1-12-122111100-1002i3i3−i3−i3-1-1-111-2-1-1-2-2−i3−i3i3i31111-20000−3−3−3−3333300i3i3−i3−i300211-1-1−i3−i3i3i3002i2i−2i−2i33−3−3−i−i−i−iiiii000000000000
χ3922-2-222200-22-22-2-2-200002-220002-22-22-2-22-22000000000000-222−2−222−2−222−2−22-22-22-20002-20000002−22−22−22−22−22−22−22−22−2000000000000
χ4022-2-222200-22-22-2-2-200002-220002-22-22-2-22-22000000000000-2−2−222−2−222−2−2222-22-22-20002-2000000−22−22−22−22−22−22−22−22−22000000000000
χ4122-2-222200-22-22-2-2-20000-222000-22-222-2-22-22000000000000-222−2−222−2−222−2−2-22-22-220002-20000002−2−22−222−22−2−22−22−22−22000000000000
χ4222-2-222200-22-22-2-2-20000-222000-22-222-2-22-22000000000000-2−2−222−2−222−2−222-22-22-220002-2000000−222−22−2−22−222−22−22−22−2000000000000
χ4322-2-222-20022-22-2-2-200000022i−2i000002-2-2-22-200002i−2i2i−2i0000222−2−222−2−222−2−20000002i−2i0-22002i−2i2i−2i−22−i2i2i2−i2−22−22−i2i2−i2i2i2−i2i2−i2000000000000
χ4422-2-222-20022-22-2-2-200000022i−2i000002-2-2-22-200002i−2i2i−2i00002−2−222−2−222−2−2220000002i−2i0-22002i−2i2i−2i2−2i2−i2−i2i22−22−2i2−i2i2−i2−i2i2−i2i2000000000000
χ4522-2-222-20022-22-2-2-20000002−2i2i000002-2-2-22-20000−2i2i−2i2i0000222−2−222−2−222−2−2000000−2i2i0-2200−2i2i−2i2i−22i2−i2−i2i2−22−22i2−i2i2−i2−i2i2−i2i2000000000000
χ4622-2-222-20022-22-2-2-20000002−2i2i000002-2-2-22-20000−2i2i−2i2i00002−2−222−2−222−2−222000000−2i2i0-2200−2i2i−2i2i2−2−i2i2i2−i22−22−2−i2i2−i2i2i2−i2i2−i2000000000000
χ4722-2-2-12200-2-1121-2-23−33−32-2-1000-11-11-111-1123−3003−3−3333−3−3-222−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ72-2-11-11000-113−33−3−332−22−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ4822-2-2-12200-2-1121-2-23−33−32-2-1000-11-11-111-1123−3003−3−3333−3−3-2−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ72-2-11-11000-113−33−3−33−22−22−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ4922-2-2-12200-2-1121-2-23−33−3-22-10001-11-1-111-1123−300−333−333−3−3-222−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7-221-11-1000-113−3−333−32−2−22−22ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ5022-2-2-12200-2-1121-2-23−33−3-22-10001-11-1-111-1123−300−333−333−3−3-2−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7-221-11-1000-113−3−333−3−222−22−2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ5122-2-2-12200-2-1121-2-2−33−332-2-1000-11-11-111-112−3300−333−3−3−333-222−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ232-2-11-11000-11−33−333−32−22−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ5222-2-2-12200-2-1121-2-2−33−332-2-1000-11-11-111-112−3300−333−3−3−333-2−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ232-2-11-11000-11−33−333−3−22−22−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ5322-2-2-12200-2-1121-2-2−33−33-22-10001-11-1-111-112−33003−3−33−3−333-222−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23-221-11-1000-11−333−3−332−2−22−22ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ5422-2-2-12200-2-1121-2-2−33−33-22-10001-11-1-111-112−33003−3−33−3−333-2−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23-221-11-1000-11−333−3−33−222−22−2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ5522-2-2-12-2002-1121-2-23−33−300-12i−2i0−i3i3i3−i3-1111-1-2−3300−ii−ii33−3−3222−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ700−i3i3i3−i32i−2i01-1−33−ii−ii−22−i2i2i2−i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ5622-2-2-12-2002-1121-2-23−33−300-12i−2i0−i3i3i3−i3-1111-1-2−3300−ii−ii33−3−32−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ700−i3i3i3−i32i−2i01-1−33−ii−ii2−2i2−i2−i2i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ5722-2-2-12-2002-1121-2-23−33−300-1−2i2i0i3−i3−i3i3-1111-1-2−3300i−ii−i33−3−3222−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ700i3−i3−i3i3−2i2i01-1−33i−ii−i−22i2−i2−i2i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ5822-2-2-12-2002-1121-2-23−33−300-1−2i2i0i3−i3−i3i3-1111-1-2−3300i−ii−i33−3−32−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ700i3−i3−i3i3−2i2i01-1−33i−ii−i2−2−i2i2i2−i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ5922-2-2-12-2002-1121-2-2−33−3300-12i−2i0i3−i3−i3i3-1111-1-23−300−ii−ii−3−333222−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2300i3−i3−i3i32i−2i01-13−3−ii−ii−22−i2i2i2−i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ6022-2-2-12-2002-1121-2-2−33−3300-12i−2i0i3−i3−i3i3-1111-1-23−300−ii−ii−3−3332−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ2300i3−i3−i3i32i−2i01-13−3−ii−ii2−2i2−i2−i2i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ6122-2-2-12-2002-1121-2-2−33−3300-1−2i2i0−i3i3i3−i3-1111-1-23−300i−ii−i−3−333222−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2300−i3i3i3−i3−2i2i01-13−3i−ii−i−22i2−i2−i2i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ6222-2-2-12-2002-1121-2-2−33−3300-1−2i2i0−i3i3i3−i3-1111-1-23−300i−ii−i−3−3332−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ2300−i3i3i3−i3−2i2i01-13−3i−ii−i2−2−i2i2i2−i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ632-22-2220-220-2-2-222-2-2-2220020000000-2-22000002-200002-22-202-22-22-22-22-22-200000000000000000000000000000000000−i2i2−i2i2−i2i2000−i2i20
χ642-22-2220-220-2-2-222-2-2-2220020000000-2-22000002-200002-22-202-22-22-22-22-22-200000000000000000000000000000000000i2−i2i2−i2i2−i2000i2−i20
χ652-22-2220-220-2-2-222-2-2-2220020000000-2-22000002-200002-22-20-22-22-22-22-22-2200000000000000000000000000000000000−i2i2−i2i2−i2i2000i2−i20
χ662-22-2220-220-2-2-222-2-2-2220020000000-2-22000002-200002-22-20-22-22-22-22-22-2200000000000000000000000000000000000i2−i2i2−i2i2−i2000−i2i20
χ6744444-2-444-444-24-2-2444400-200-40000-2-2-2-4-42-4-4-2-20000-2-2-2-2200000000000000000000222220000000000000000000000000000000000
χ6844444-2-4-4-4-444-24-2-2-4-4-4-400-20040000-2-2-2-4-42442200002222200000000000000000000-222-2-20000000000000000000000000000000000
χ694444-2-24444-2-2-2-2-2-2-2-2-2-2441444-2-2-2-2111-2-2-2-2-2-2-2-2-2-2-21111-2000000000000-2-21111-2-2-211111111000000000000000000000000000000
χ704444-2-24444-2-2-2-2-2-2-2-2-2-2-4-41-4-442222111-2-2-2-2-2-2-222221111-200000000000022-1-1-1-122-21111-1-1-1-1000000000000000000000000000000
χ714444-2-24-4-44-2-2-2-2-2-22222441-4-4-4-2-2-2-2111-2-2-222222222-1-1-1-1-2000000000000-2-2111122211-1-1-1-1-1-1000000000000000000000000000000
χ724444-2-24-4-44-2-2-2-2-2-22222-4-4144-42222111-2-2-22222-2-2-2-2-1-1-1-1-200000000000022-1-1-1-1-2-2211-1-11111000000000000000000000000000000
χ734444-2-2-444-4-2-2-2-2-2-2-2-2-2-200100-4−2i3−2i32i32i311122222-2-2−2i3−2i32i32i31111200000000000000i3i3−i3−i3002-1-1-1-1i3i3−i3−i3000000000000000000000000000000
χ744444-2-2-444-4-2-2-2-2-2-2-2-2-2-200100-42i32i3−2i3−2i311122222-2-22i32i3−2i3−2i31111200000000000000−i3−i3i3i3002-1-1-1-1−i3−i3i3i3000000000000000000000000000000
χ754444-2-2-4-4-4-4-2-2-2-2-2-22222001004−2i3−2i32i32i3111222-2-2222i32i3−2i3−2i3-1-1-1-1200000000000000i3i3−i3−i300-2-1-111−i3−i3i3i3000000000000000000000000000000
χ764444-2-2-4-4-4-4-2-2-2-2-2-222220010042i32i3−2i3−2i3111222-2-222−2i3−2i32i32i3-1-1-1-1200000000000000−i3−i3i3i300-2-1-111i3i3−i3−i3000000000000000000000000000000
χ7744-4-44-2400-44-4-2-42200004-4-20004-44-4-2224-4-20000000000002000000000000-22-22-22000-22000000000000000000000000000000000000
χ7844-4-44-2400-44-4-2-4220000-44-2000-44-44-2224-4-200000000000020000000000002-22-22-2000-22000000000000000000000000000000000000
χ7944-4-44-2-40044-4-2-422000000-24i−4i00000-222-44200004i−4i4i−4i0000-2000000000000000000−2i2i02-200−2i2i−2i2i000000000000000000000000000000
χ8044-4-44-2-40044-4-2-422000000-2−4i4i00000-222-4420000−4i4i−4i4i0000-20000000000000000002i−2i02-2002i−2i2i−2i000000000000000000000000000000
χ8144-4-4-2-2400-4-22-222223−2323−234-41000-22-221-1-1-22-223−230023−23−2323−3−3332000000000000-221-11-10001-1−33−333−3000000000000000000000000000000
χ8244-4-4-2-2400-4-22-222223−2323−23-4410002-22-21-1-1-22-223−2300−232323−23−3−33320000000000002-2-11-110001-1−333−3−33000000000000000000000000000000
χ8344-4-4-2-2400-4-22-2222−2323−23234-41000-22-221-1-1-22-2−232300−232323−2333−3−32000000000000-221-11-10001-13−33−3−33000000000000000000000000000000
χ8444-4-4-2-2400-4-22-2222−2323−2323-4410002-22-21-1-1-22-2−23230023−23−232333−3−320000000000002-2-11-110001-13−3−333−3000000000000000000000000000000
χ8544-4-4-2-2-4004-22-222223−2323−230014i−4i0−2i32i32i3−2i31-1-12-22−232300−2i2i−2i2i−3−333-200000000000000i3−i3−i3i3−2i2i0-113−3i−ii−i000000000000000000000000000000
χ8644-4-4-2-2-4004-22-222223−2323−23001−4i4i02i3−2i3−2i32i31-1-12-22−2323002i−2i2i−2i−3−333-200000000000000−i3i3i3−i32i−2i0-113−3−ii−ii000000000000000000000000000000
χ8744-4-4-2-2-4004-22-2222−2323−23230014i−4i02i3−2i3−2i32i31-1-12-2223−2300−2i2i−2i2i33−3−3-200000000000000−i3i3i3−i3−2i2i0-11−33i−ii−i000000000000000000000000000000
χ8844-4-4-2-2-4004-22-2222−2323−2323001−4i4i0−2i32i32i3−2i31-1-12-2223−23002i−2i2i−2i33−3−3-200000000000000i3−i3−i3i32i−2i0-11−33−ii−ii000000000000000000000000000000
χ894-44-44404-40-4-4-444-444-4-40040000000-4-4400000-440000-44-44000000000000000000000000000000000000000000000000000000000000
χ904-44-44-204-40-4-424-2244-4-400-2000000022-2000002-200002-22-2000000000000000000000000000000000000000000000000006−6−66000000
χ914-44-44-204-40-4-424-2244-4-400-2000000022-2000002-200002-22-200000000000000000000000000000000000000000000000000−666−6000000
χ924-44-44-20-440-4-424-22-4-44400-2000000022-200000-220000-22-22000000000000000000000000000000000000000000000000−2i22i2i2−i2i2−i2000000
χ934-44-44-20-440-4-424-22-4-44400-2000000022-200000-220000-22-220000000000000000000000000000000000000000000000002i2−2i2−i2i2−i2i2000000
χ944-44-4-2404-4022-4-24-4-2-22200-2000000022-200000-4400002-22-20000023−2323−23−2323−232300000000000000000000000000000000000000000000000
χ954-44-4-2404-4022-4-24-4-2-22200-2000000022-200000-4400002-22-200000−2323−232323−2323−2300000000000000000000000000000000000000000000000
χ964-44-4-240-44022-4-24-422-2-200-2000000022-2000004-40000-22-2204-44-4-22-22-22-2200000000000000000000000000000000000000000000000
χ974-44-4-240-44022-4-24-422-2-200-2000000022-2000004-40000-22-220-44-442-22-22-22-200000000000000000000000000000000000000000000000
χ984-4-44440000-44-4-4-4400000040000000-44-4000000000000000022−22−222222−22−222222−22−222200000000000000000000000000000000000000000000000
χ994-4-44440000-44-4-4-4400000040000000-44-40000000000000000−222222−22−222222−22−222222−2200000000000000000000000000000000000000000000000
χ1004-4-44-2400002-2-42-4423−23−232300-200000002-2200000000000−232323−23022−22−22222ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ2300000000000000000000000000000000000000000000000
χ1014-4-44-2400002-2-42-4423−23−232300-200000002-2200000000000−232323−230−222222−22−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ2300000000000000000000000000000000000000000000000
χ1024-4-44-2400002-2-42-44−232323−2300-200000002-220000000000023−23−2323022−22−22222ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ700000000000000000000000000000000000000000000000
χ1034-4-44-2400002-2-42-44−232323−2300-200000002-220000000000023−23−23230−222222−22−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ700000000000000000000000000000000000000000000000
χ1048-88-8-4-408-80444-4-44-4-4440020000000-2-22000004-40000-22-22000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-40-880444-4-4444-4-40020000000-2-2200000-4400002-22-2000000000000000000000000000000000000000000000000000000000000
χ1068-8-888-40000-884-84-4000000-400000004-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-400004-4444-443−43−43430020000000-22-20000000000023−23−2323000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-400004-4444-4−434343−430020000000-22-200000000000−232323−23000000000000000000000000000000000000000000000000000000000000

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