Finite Group Databasebeta

← Group #13168728

Character table — Group #13168728

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1111222222222222222222444444444444444444444444666666668888888888121212121212121212121212121212121212121212121212121212121212121212121212121218181818181824242424242436363636363636363636367272108108
order1222333446666666661212121233366666666612121212121212121212121222446666366612121212121244446666661212121212121212121212121212121212121212121212121212121222444412121212121244466121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-111111111111111111-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1111111111111111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-111-1-1-1-11111111111-1111-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-11111111111-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111111-1-1
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11-111-1-1-11-111-1-111-1-11-11-1
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-11-1-111-1-1111-1-1-1-111-11-11
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-11-11111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11-111-1-11-11-1-11111-1-1-11-11
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-11111-1-1-111-1-1111-11-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1111-111-1-111-1-1-111-1-1111-1-11
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-11-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-11111-1-111-1-1-11-1-1111-11-1-11111-1-1-111-1
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1111-111-1-1-1-1111-1-1-1-111-111-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111111111-1-1-11-1-111-11-111-1-111-1-11-1-11
χ17222222-1222222-1-1-122-1-1-1-12-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-12002-1-1-1-1-1-122-1-122-1-1-1-1220000-1-1-1-1-1-1-1-1-1-1-1-1220000000000200-1-1-1-100000000
χ18222222-1222222-1-1-122-1-1-1-12-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-122-2-22222-1-1-1-122-1-1-1-1200-2-1-1-1-1-1-1-2-211-2-211-1-122000011111111-1-1-1-1-2-20000000000-200111100000000
χ19222222-1222222-1-1-122-1-1-1-12-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-222-2-2-2-2-1-1-1-122-1-1-1-1-200211111122-1-122-1-111-2-20000-1-1-1-1-1-1-1-11111-2-20000000000-200111100000000
χ20222222-1222222-1-1-122-1-1-1-12-1-122-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-200-2111111-2-211-2-21111-2-20000111111111111220000000000200-1-1-1-100000000
χ21222222-1-2-22222-1-1-12211112-1-122-1-1-1-1-1-12-2-2-2-21111111122222222-1-1-1-1-2-21111-200-2-1-1-1-1-1-122-1-1-2-21111-2-20000-1-1-1-111111111220000000000-200-1-11100000000
χ22222222-1-2-22222-1-1-12211112-1-122-1-1-1-1-1-12-2-2-2-21111111122-2-22222-1-1-1-1-2-21111-2002-1-1-1-1-1-1-2-21122-1-111-2-200001111-1-1-1-11111-2-2000000000020011-1-100000000
χ23222222-1-2-22222-1-1-12211112-1-122-1-1-1-1-1-12-2-2-2-211111111-2-222-2-2-2-2-1-1-1-1-2-21111200-211111122-1-1-2-211-1-1220000-1-1-1-11111-1-1-1-1-2-2000000000020011-1-100000000
χ24222222-1-2-22222-1-1-12211112-1-122-1-1-1-1-1-12-2-2-2-211111111-2-2-2-2-2-2-2-2-1-1-1-1-2-211112002111111-2-21122-1-1-1-12200001111-1-1-1-1-1-1-1-1220000000000-200-1-11100000000
χ2522222-1222-1-1222222-12222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-12200-1-1-1-1-1-1-1-1-1-1-1-1-1-1222022-1-1-1-10000000022-1-1-1-1-1-100000000-1-1-1-100222222-1-1-1-10000000-1-1-1-10000
χ2622222-1222-1-1222222-12222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-12200-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2022-1-1-1-10000000022-1-1111100000000-1-1-1-100-2-2-2-2-2-21111000000011110000
χ2722222-1222-1-1222222-12222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-1-2-2001111-1-1-1-1-1-1-1-1-1-1-2220-2-2111100000000-2-211-1-1-1-100000000111100-2-2-2-222-1-1-1-1000000011110000
χ2822222-1222-1-1222222-12222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-1-2-2001111-1-1-1-1-1-1-1-1-1-1-2-2-20-2-2111100000000-2-2111111000000001111002222-2-211110000000-1-1-1-10000
χ2922222-12-2-2-1-1222222-1-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-211112200-1-1-1-1-1-1-1-1111111-22-2022-1-1-1-100000000-2-211-1-1110000000011110022-2-22-2-1-1110000000-1-1110000
χ3022222-12-2-2-1-1222222-1-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-211112200-1-1-1-1-1-1-1-1111111-2-22022-1-1-1-100000000-2-21111-1-100000000111100-2-222-2211-1-1000000011-1-10000
χ3122222-12-2-2-1-1222222-1-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-21111-2-2001111-1-1-1-111111122-20-2-211110000000022-1-1-1-11100000000-1-1-1-100-2-2222-2-1-111000000011-1-10000
χ3222222-12-2-2-1-1222222-1-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-21111-2-2001111-1-1-1-11111112-220-2-211110000000022-1-111-1-100000000-1-1-1-10022-2-2-2211-1-10000000-1-1110000
χ332222-1222222-1-1222-122222-1-12-1-122-1-1-12-1-1-122-1-1-1-1222200220000-1-1-1-1-1-1-1-1-1-10222000000-1-122-1-12200002222-1-1-1-1-1-1-1-10000000000-1-1-1-1-1-102200000000-1-100
χ342222-1222222-1-1222-122222-1-12-1-122-1-1-12-1-1-122-1-1-1-1222200220000-1-1-1-1-1-1-1-1-1-10-2-22000000-1-122-1-1220000-2-2-2-2-1-1-1-1-1-1-1-100000000001111110-2-2000000001100
χ352222-1222222-1-1222-122222-1-12-1-122-1-1-12-1-1-122-1-1-1-1222200-2-20000-1-1-1-1-1-1-1-1-1-1022-200000011-2-211-2-200002222111111110000000000-1-1-1-1-1-10-2-2000000001100
χ362222-1222222-1-1222-122222-1-12-1-122-1-1-12-1-1-122-1-1-1-1222200-2-20000-1-1-1-1-1-1-1-1-1-10-2-2-200000011-2-211-2-20000-2-2-2-211111111000000000011111102200000000-1-100
χ372222-122-2-222-1-1222-12-2-2-2-2-1-12-1-122-1-1-12-111-2-21111-2-2-2-200220000-1-1-1-111111102-2-2000000-1-12211-2-2000022-2-2-1-1-1-111110000000000-11-1-11102-200000000-1100
χ382222-122-2-222-1-1222-12-2-2-2-2-1-12-1-122-1-1-12-111-2-21111-2-2-2-200220000-1-1-1-11111110-22-2000000-1-12211-2-20000-2-222-1-1-1-1111100000000001-111-1-10-22000000001-100
χ392222-122-2-222-1-1222-12-2-2-2-2-1-12-1-122-1-1-12-111-2-21111-2-2-2-200-2-20000-1-1-1-111111102-2200000011-2-2-1-122000022-2-21111-1-1-1-10000000000-11-1-1110-22000000001-100
χ402222-122-2-222-1-1222-12-2-2-2-2-1-12-1-122-1-1-12-111-2-21111-2-2-2-200-2-20000-1-1-1-11111110-22200000011-2-2-1-1220000-2-2221111-1-1-1-100000000001-111-1-102-200000000-1100
χ4122-2-2222002-22-22-2-2-2-200002222-22-2-22-2-2-20000000000002-22-222-2-222-2-200000000002-222-2-22-22-200000000000022-2-2000000002-200000000000002-20000000000
χ4222-2-2222002-22-22-2-2-2-200002222-22-2-22-2-2-20000000000002-2-2222-2-222-2-200000000002-222-2-2-22-22000000000000-2-22200000000-220000000000000-220000000000
χ4322-2-2222002-22-22-2-2-2-200002222-22-2-22-2-2-2000000000000-222-2-2-22222-2-20000000000-22-2-2222-22-200000000000022-2-200000000-220000000000000-220000000000
χ4422-2-2222002-22-22-2-2-2-200002222-22-2-22-2-2-2000000000000-22-22-2-22222-2-20000000000-22-2-222-22-22000000000000-2-222000000002-200000000000002-20000000000
χ4522-2-222-1002-22-2-111-2-233−3−32-1-12-2-111-111-2000033−3−333−3−32-22-222-2-2-1-1110033−3−30000-11-1-1112-2-11003−33−3000000-1-11133−3−333−3−32-20000000000000-113−300000000
χ4622-2-222-1002-22-2-111-2-233−3−32-1-12-2-111-111-2000033−3−333−3−32-2-2222-2-2-1-1110033−3−30000-11-1-111-221-100−333−300000011-1-1−3−33333−3−3-2200000000000001-1−3300000000
χ4722-2-222-1002-22-2-111-2-233−3−32-1-12-2-111-111-2000033−3−333−3−3-222-2-2-222-1-1110033−3−300001-111-1-12-2-11003−3−33000000-1-11133−3−3−3−333-2200000000000001-1−3300000000
χ4822-2-222-1002-22-2-111-2-233−3−32-1-12-2-111-111-2000033−3−333−3−3-22-22-2-222-1-1110033−3−300001-111-1-1-221-100−33−3300000011-1-1−3−333−3−3332-20000000000000-113−300000000
χ4922-2-222-1002-22-2-111-2-2−3−3332-1-12-2-111-111-20000−3−333−3−3332-22-222-2-2-1-11100−3−3330000-11-1-1112-2-1100−33−33000000-1-111−3−333−3−3332-20000000000000-11−3300000000
χ5022-2-222-1002-22-2-111-2-2−3−3332-1-12-2-111-111-20000−3−333−3−3332-2-2222-2-2-1-11100−3−3330000-11-1-111-221-1003−3−3300000011-1-133−3−3−3−333-2200000000000001-13−300000000
χ5122-2-222-1002-22-2-111-2-2−3−3332-1-12-2-111-111-20000−3−333−3−333-222-2-2-222-1-11100−3−33300001-111-1-12-2-1100−333−3000000-1-111−3−33333−3−3-2200000000000001-13−300000000
χ5222-2-222-1002-22-2-111-2-2−3−3332-1-12-2-111-111-20000−3−333−3−333-22-22-2-222-1-11100−3−33300001-111-1-1-221-1003−33−300000011-1-133−3−333−3−32-20000000000000-11−3300000000
χ532-22-22222-2-2-2-2-2-2-22222-22-2222-2-2-2-22-2-2222-22-22-22-22-22-2000000002-2-222-22-22-200000000000000000000000000000000000000002-22-200000000000002-22-20000
χ542-22-22222-2-2-2-2-2-2-22222-22-2222-2-2-2-22-2-2222-22-22-22-22-22-2000000002-2-222-22-22-20000000000000000000000000000000000000000-22-220000000000000-22-220000
χ552-22-2222-22-2-2-2-2-2-2222-22-22222-2-2-2-22-2-222-22-22-22-22-22-22000000002-2-22-22-22-2200000000000000000000000000000000000000002-2-2200000000000002-2-220000
χ562-22-2222-22-2-2-2-2-2-2222-22-22222-2-2-2-22-2-222-22-22-22-22-22-22000000002-2-22-22-22-220000000000000000000000000000000000000000-222-20000000000000-222-20000
χ572-22-22-122-211-2-2-2-222-12-22-2-12-111112-2-2-1-12-2-112-22-2-11-110000−i3i3−i3i3-111-1-11-11-11000000−i3i3−i3i30000000000−i3i3−i3i3−i3i300000000−i3i3−i3i3002-22-200−i3i3−i3i30000000-11-110000
χ582-22-22-122-211-2-2-2-222-12-22-2-12-111112-2-2-1-12-2-112-22-2-11-110000−i3i3−i3i3-111-1-11-11-11000000−i3i3−i3i30000000000−i3i3i3−i3i3−i300000000−i3i3−i3i300-22-2200i3−i3i3−i300000001-11-10000
χ592-22-22-122-211-2-2-2-222-12-22-2-12-111112-2-2-1-12-2-112-22-2-11-110000i3−i3i3−i3-111-1-11-11-11000000i3−i3i3−i30000000000i3−i3−i3i3−i3i300000000i3−i3i3−i300-22-2200−i3i3−i3i300000001-11-10000
χ602-22-22-122-211-2-2-2-222-12-22-2-12-111112-2-2-1-12-2-112-22-2-11-110000i3−i3i3−i3-111-1-11-11-11000000i3−i3i3−i30000000000i3−i3i3−i3i3−i300000000i3−i3i3−i3002-22-200i3−i3i3−i30000000-11-110000
χ612-22-22-12-2211-2-2-2-222-1-22-22-12-111112-2-2-1-1-221-1-22-221-11-10000−i3i3−i3i3-111-11-11-11-1000000−i3i3−i3i30000000000i3−i3−i3i3i3−i300000000i3−i3i3−i3002-2-2200−i3i3i3−i30000000-111-10000
χ622-22-22-12-2211-2-2-2-222-1-22-22-12-111112-2-2-1-1-221-1-22-221-11-10000−i3i3−i3i3-111-11-11-11-1000000−i3i3−i3i30000000000i3−i3i3−i3−i3i300000000i3−i3i3−i300-222-200i3−i3−i3i300000001-1-110000
χ632-22-22-12-2211-2-2-2-222-1-22-22-12-111112-2-2-1-1-221-1-22-221-11-10000i3−i3i3−i3-111-11-11-11-1000000i3−i3i3−i30000000000−i3i3−i3i3i3−i300000000−i3i3−i3i300-222-200−i3i3i3−i300000001-1-110000
χ642-22-22-12-2211-2-2-2-222-1-22-22-12-111112-2-2-1-1-221-1-22-221-11-10000i3−i3i3−i3-111-11-11-11-1000000i3−i3i3−i30000000000−i3i3i3−i3−i3i300000000−i3i3−i3i3002-2-2200i3−i3−i3i30000000-111-10000
χ6544444-2-244-2-244-2-2-24-2-2-2-2-2-2-21-2-211-2-2-21-244-2-2-2-2-2-211114400-2-2-2-21111-2-211114000-2-2111100000000-2-2-2-20000000000001111000000000000000000000000000
χ6644444-2-244-2-244-2-2-24-2-2-2-2-2-2-21-2-211-2-2-21-244-2-2-2-2-2-21111-4-40022221111-2-21111-400022-1-1-1-1000000002222000000000000-1-1-1-1000000000000000000000000000
χ6744444-2-2-4-4-2-244-2-2-24-22222-2-21-2-211-2-2-21-2-4-4222222-1-1-1-14400-2-2-2-2111122-1-1-1-1-4000-2-21111000000002222000000000000-1-1-1-1000000000000000000000000000
χ6844444-2-2-4-4-2-244-2-2-24-22222-2-21-2-211-2-2-21-2-4-4222222-1-1-1-1-4-4002222111122-1-1-1-1400022-1-1-1-100000000-2-2-2-20000000000001111000000000000000000000000000
χ694444-24-24444-2-2-2-2-2-24-2-2-2-2-21-2-2-2-2-2111-2-2-2-2441111-2-2-2-2004400001111-2-211110004000000-2-2-2-2-2-2-2-200000000111111110000000000000000000000000000000
χ704444-24-24444-2-2-2-2-2-24-2-2-2-2-21-2-2-2-2-2111-2-2-2-2441111-2-2-2-200-4-400001111-2-21111000-40000002222222200000000-1-1-1-1-1-1-1-10000000000000000000000000000000
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χ734444-2-2444-2-2-2-2444-2-244441-2-211-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-20000000011111111110440000000000000000000-2-2-2-2000000000000000000-2-21111000000000000000
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χ754444-2-24-4-4-2-2-2-2444-2-2-4-4-4-41-2-211-2-2-2-2-2-21222222222222000000001111-1-1-1-1-1-104-40000000000000000000-2-222000000000000000000-2211-1-1000000000000000
χ764444-2-24-4-4-2-2-2-2444-2-2-4-4-4-41-2-211-2-2-2-2-2-21222222222222000000001111-1-1-1-1-1-10-44000000000000000000022-2-20000000000000000002-2-1-111000000000000000
χ7744-4-44-2400-224-44-4-4-420000-24-2-22-22-44-4220000000000004-400-2-222-2-22200000000004-4-2-2220000000000000000000000000000000000000000000000000000000
χ7844-4-44-2400-224-44-4-4-420000-24-2-22-22-44-422000000000000-440022-2-2-2-2220000000000-4422-2-20000000000000000000000000000000000000000000000000000000
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χ8144-4-44-2-200-224-4-222-42−23−232323-2-21-221-12-22-120000−23−23232333−3−34-400-2-22211-1-10033−3−30000-2211-1-100000000−23230000000000000033−3−3000000000000000000000000000
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χ8344-4-4-244004-4-224-4-42-40000-2-24-224-42-22-42000000000000004-40000-2-2220000000000000000-224-4000000000000-2-22200000000000000000000000000000000000
χ8444-4-4-244004-4-224-4-42-40000-2-24-224-42-22-4200000000000000-440000-2-22200000000000000002-2-4400000000000022-2-200000000000000000000000000000000000
χ8544-4-4-24-2004-4-22-2222-42323−23−23-21-2-22-22-11-1220000−3−3332323−23−23004-4000011-1-100−3−3330000000000-22-220023−230000000011-1-1−3−3330000000000000000000000000000000
χ8644-4-4-24-2004-4-22-2222-42323−23−23-21-2-22-22-11-1220000−3−3332323−23−2300-44000011-1-100−3−33300000000002-22-200−232300000000-1-11133−3−30000000000000000000000000000000
χ8744-4-4-24-2004-4-22-2222-4−23−232323-21-2-22-22-11-122000033−3−3−23−232323004-4000011-1-10033−3−30000000000-22-2200−23230000000011-1-133−3−30000000000000000000000000000000
χ8844-4-4-24-2004-4-22-2222-4−23−232323-21-2-22-22-11-122000033−3−3−23−23232300-44000011-1-10033−3−300000000002-22-20023−2300000000-1-111−3−3330000000000000000000000000000000
χ894-44-444-24-4-4-4-4-422-244-22-224-2-2-4-422-222-244-44-4-22-22-22-2200000000-222-24-4-22-2200000000000000000000000000000000000000000000000000000000000000000
χ904-44-444-2-44-4-4-4-422-2442-22-24-2-2-4-422-222-24-44-442-22-22-22-200000000-222-2-442-22-200000000000000000000000000000000000000000000000000000000000000000
χ914-44-44-2-24-422-4-422-24-2-22-22-2-2122-1-1-2221-24-4-22-22-221-11-10000−2i32i3−2i32i31-1-11-221-11-1000000i3−i3i3−i30000000000−2i32i3000000000000i3−i3i3−i3000000000000000000000000000
χ924-44-44-2-24-422-4-422-24-2-22-22-2-2122-1-1-2221-24-4-22-22-221-11-100002i3−2i32i3−2i31-1-11-221-11-1000000−i3i3−i3i300000000002i3−2i3000000000000−i3i3−i3i3000000000000000000000000000
χ934-44-44-2-2-4422-4-422-24-22-22-2-2-2122-1-1-2221-2-442-22-22-2-11-110000−2i32i3−2i32i31-1-112-2-11-11000000i3−i3i3−i300000000002i3−2i3000000000000−i3i3−i3i3000000000000000000000000000
χ944-44-44-2-2-4422-4-422-24-22-22-2-2-2122-1-1-2221-2-442-22-22-2-11-1100002i3−2i32i3−2i31-1-112-2-11-11000000−i3i3−i3i30000000000−2i32i3000000000000i3−i3i3−i3000000000000000000000000000
χ954-44-4-2444-4-4-422-4-44-244-44-4-2-2422-4-4-2224-2-224-4-22-224-44-400000000-222-2-22-22-2200000000000000000000000000000000000000000000000000000000000000000
χ964-44-4-244-44-4-422-4-44-24-44-44-2-2422-4-4-2224-22-2-442-22-2-44-4400000000-222-22-22-22-200000000000000000000000000000000000000000000000000000000000000000
χ974-44-4-24-24-4-4-42222-2-24-22-22-21-222221-1-1-2-2-224-41-11-1-22-22000000001-1-11-221-11-1000000000000000000000000003i−3i3i−3i3i−3i3i−3i0000000000000000000000000000000
χ984-44-4-24-24-4-4-42222-2-24-22-22-21-222221-1-1-2-2-224-41-11-1-22-22000000001-1-11-221-11-100000000000000000000000000−3i3i−3i3i−3i3i−3i3i0000000000000000000000000000000
χ994-44-4-24-2-44-4-42222-2-242-22-2-21-222221-1-1-2-22-2-44-11-112-22-2000000001-1-112-2-11-11000000000000000000000000003i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000
χ1004-44-4-24-2-44-4-42222-2-242-22-2-21-222221-1-1-2-22-2-44-11-112-22-2000000001-1-112-2-11-1100000000000000000000000000−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000
χ1014-44-4-2-244-42222-4-44-2-24-44-41-2-2-1-122-222-21-22-22-22-22-22-22000000001-1-111-11-11-10000000000000000000000−2i32i3−2i32i300000000000000000000i3−i3i3−i3000000000000000
χ1024-44-4-2-244-42222-4-44-2-24-44-41-2-2-1-122-222-21-22-22-22-22-22-22000000001-1-111-11-11-100000000000000000000002i3−2i32i3−2i300000000000000000000−i3i3−i3i3000000000000000
χ1034-44-4-2-24-442222-4-44-2-2-44-441-2-2-1-122-222-212-22-22-22-22-22-2000000001-1-11-11-11-110000000000000000000000−2i32i32i3−2i300000000000000000000i3−i3−i3i3000000000000000
χ1044-44-4-2-24-442222-4-44-2-2-44-441-2-2-1-122-222-212-22-22-22-22-22-2000000001-1-11-11-11-1100000000000000000000002i3−2i3−2i32i300000000000000000000−i3i3i3−i3000000000000000
χ1054-4-4444400-44-44-44-4-4-40000444-44-44-4-44-4-4000000000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000000000
χ1064-4-4444-200-44-442-22-4-423−23−23234-2-2-442-222-22-4000023−23−232323−23−232300000000-22-220023−23−232300000000000000000000000000000000000000000000000000000000000000000
χ1074-4-4444-200-44-442-22-4-4−232323−234-2-2-442-222-22-40000−232323−23−232323−2300000000-22-2200−232323−2300000000000000000000000000000000000000000000000000000000000000000
χ1084-4-444-24002-2-44-44-4-420000-24-22-22-2-4-44220000000000000000−2i32i32i3−2i3-22-22000000000000−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000
χ1094-4-444-24002-2-44-44-4-420000-24-22-22-2-4-442200000000000000002i3−2i3−2i32i3-22-220000000000002i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000
χ1104-4-444-2-2002-2-442-22-4223−23−2323-2-212-2-1122-2-12000023−23−2323−333−30000−2i32i32i3−2i31-11-100−333−3000000i3−i3−i3i3000000000000000000000000−3i3i3i−3i000000000000000000000000000
χ1114-4-444-2-2002-2-442-22-4223−23−2323-2-212-2-1122-2-12000023−23−2323−333−300002i3−2i3−2i32i31-11-100−333−3000000−i3i3i3−i30000000000000000000000003i−3i−3i3i000000000000000000000000000
χ1124-4-444-2-2002-2-442-22-42−232323−23-2-212-2-1122-2-120000−232323−233−3−330000−2i32i32i3−2i31-11-1003−3−33000000i3−i3−i3i30000000000000000000000003i−3i−3i3i000000000000000000000000000
χ1134-4-444-2-2002-2-442-22-42−232323−23-2-212-2-1122-2-120000−232323−233−3−3300002i3−2i3−2i32i31-11-1003−3−33000000−i3i3i3−i3000000000000000000000000−3i3i3i−3i000000000000000000000000000
χ1144-4-44-24400-442-2-44-42-40000-2-242-2-4422-2-4200000000000000000000-22-2200000000000000000000−2i32i300000000000000−2i32i32i3−2i30000000000000000000000000000000
χ1154-4-44-24400-442-2-44-42-40000-2-242-2-4422-2-4200000000000000000000-22-22000000000000000000002i3−2i3000000000000002i3−2i3−2i32i30000000000000000000000000000000
χ1164-4-44-24-200-442-22-222-423−23−2323-21-22-22-2-1-11220000−333−323−23−2323000000001-11-100−333−300000000000000−2i32i300000000003i−3i−3i3ii3−i3−i3i30000000000000000000000000000000
χ1174-4-44-24-200-442-22-222-423−23−2323-21-22-22-2-1-11220000−333−323−23−2323000000001-11-100−333−3000000000000002i3−2i30000000000−3i3i3i−3i−i3i3i3−i30000000000000000000000000000000
χ1184-4-44-24-200-442-22-222-4−232323−23-21-22-22-2-1-112200003−3−33−232323−23000000001-11-1003−3−3300000000000000−2i32i30000000000−3i3i3i−3ii3−i3−i3i30000000000000000000000000000000
χ1194-4-44-24-200-442-22-222-4−232323−23-21-22-22-2-1-112200003−3−33−232323−23000000001-11-1003−3−33000000000000002i3−2i300000000003i−3i−3i3i−i3i3i3−i30000000000000000000000000000000
χ1208888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-4-4-42222222200000000-1-1-1-122-1-1-1-100000000000000000000000000000000000000000000000000000000000000000
χ1218888-4-4-4-8-8-4-4-4-4-4-4-4-4-444442222222222224444-2-2-2-2-2-2-2-200000000-1-1-1-1-2-2111100000000000000000000000000000000000000000000000000000000000000000
χ12288-8-8-4-4800-44-448-8-84400002-4-42-2-444-444-20000000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000000000
χ12388-8-8-4-4-400-44-44-444444343−43−432222-22-2-22-2-2-20000−23−232323−23−23232300000000-1-1110033−3−300000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8-4-4-400-44-44-44444−43−4343432222-22-2-22-2-2-200002323−23−232323−23−2300000000-1-11100−3−33300000000000000000000000000000000000000000000000000000000000000000
χ1258-88-8-4-4-48-8444444-4-4-4-44-44222-2-2-2-22-2-222-44-442-22-22-22-200000000-111-12-2-11-1100000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-4-4-4-88444444-4-4-44-44-4222-2-2-2-22-2-2224-44-4-22-22-22-2200000000-111-1-221-11-100000000000000000000000000000000000000000000000000000000000000000
χ1278-8-88-4-48004-44-4-88-84400002-4-4-224-444-44-2000000000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8-88-4-4-4004-44-44-444443−43−4343222-22-22-2-22-2-20000−232323−23−232323−2300000000-11-11003−3−3300000000000000000000000000000000000000000000000000000000000000000
χ1298-8-88-4-4-4004-44-44-4444−434343−43222-22-22-2-22-2-2000023−23−232323−23−232300000000-11-1100−333−300000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).