Finite Group Databasebeta

← Group #13168745

Character table — Group #13168745

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222222244444444444444444444444466668888888888121212121212121212121212121212121212121212121212121212121212121212121212181824242424242424243636363636363636365454545472727272
order122233344666666666121212123336666666661212121212121212121212122244366612121212121244446666666612121212121212121212121212121212121212121212121222121212121212121244444661212444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-111111111111-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111111-111-1-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111-1-111111111111-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ51111111111111111111111111111111111111111111111-1-1111111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111111111-1-1111111111111-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1
χ81111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-11111
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-11-111-1-1-11-11-111-1-111-1-11-11-1
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-11-1-111-1-11-1111-1-1-1-111-11-11
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-11-111-1-111-1-11-1-111-1-1111-1-11
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-11-1-1111-111-1-1-11111-1-1-111-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-11-11-111-1-11-111-1-1-111-1-111-111-1
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1-11-11-1-11111-1-11-1-11111-1-11-1-11
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111111-11-111-1-1-1-11-1111-1-111-1-1-11-11
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-11-11-1-111-11-11-111-1-1-1-1111-11-1
χ17222222-122222-1-12-122-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1220022-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1220000000020000-1-1-1-100000000
χ18222222-122222-1-12-122-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-122-2-2-1-1-1-122-1-1-1-12-20022-1-1-1-1-1-1-2-21111-1-122-2-211111111-1-1-1-1-2-200000000-20000111100000000
χ19222222-122222-1-12-122-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-2-222-1-1-1-122-1-1-1-1-2200-2-211111122-1-1-1-111-2-222-1-1-1-1-1-1-1-11111-2-200000000-20000111100000000
χ20222222-122222-1-12-122-1-1-1-12-1-12-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-2-200-2-2111111-2-2111111-2-2-2-2111111111111220000000020000-1-1-1-100000000
χ21222222-1-2-2222-1-12-12211112-1-12-1-12-1-1-1-12-2-2-2-2111111112222-1-1-1-1-2-21111-2-20022-1-1-1-1-1-122-1-11111-2-2-2-2-1-1-1-1111111112200000000-20000-1-11100000000
χ22222222-1-2-2222-1-12-12211112-1-12-1-12-1-1-1-12-2-2-2-21111111122-2-2-1-1-1-1-2-21111-220022-1-1-1-1-1-1-2-211-1-111-2-2221111-1-1-1-11111-2-2000000002000011-1-100000000
χ23222222-1-2-2222-1-12-12211112-1-12-1-12-1-1-1-12-2-2-2-211111111-2-222-1-1-1-1-2-211112-200-2-211111122-1-111-1-122-2-2-1-1-1-11111-1-1-1-1-2-2000000002000011-1-100000000
χ24222222-1-2-2222-1-12-12211112-1-12-1-12-1-1-1-12-2-2-2-211111111-2-2-2-2-1-1-1-1-2-211112200-2-2111111-2-211-1-1-1-122221111-1-1-1-1-1-1-1-12200000000-20000-1-11100000000
χ2522222-1222-12222-12-122222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-12200-1-1-1-1-1-1-1-1-1-12022-1-122-1-1-1-100000022-1-10000000000-1-1-1-100-1-122-1-1-1-10220000000000-1-100
χ2622222-1222-12222-12-122222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-12200-1-1-1-1-1-1-1-1-1-120-2-2-1-122-1-1-1-100000022-1-10000000000-1-1-1-10011-2-211110-2-200000000001100
χ2722222-1222-12222-12-122222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-1-2-200-1-1-1-1-1-1-1-1-1-1-202211-2-21111000000-2-2110000000000111100-1-122-1-1-1-10-2-200000000001100
χ2822222-1222-12222-12-122222-12-1-1-1-1-1222-1-122-1-12222-1-1-1-1-2-200-1-1-1-1-1-1-1-1-1-1-20-2-211-2-21111000000-2-211000000000011110011-2-211110220000000000-1-100
χ2922222-12-2-2-12222-12-12-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-211112200-1-1-1-1111111-202-2-1-122-1-1-1-1000000-2-2110000000000111100-112-2-1-11102-20000000000-1100
χ3022222-12-2-2-12222-12-12-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-211112200-1-1-1-1111111-20-22-1-122-1-1-1-1000000-2-21100000000001111001-1-2211-1-10-2200000000001-100
χ3122222-12-2-2-12222-12-12-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-21111-2-200-1-1-1-1111111202-211-2-2111100000022-1-10000000000-1-1-1-100-112-2-1-1110-2200000000001-100
χ3222222-12-2-2-12222-12-12-2-2-2-2-12-1-1-1-1-1222-1-1-2-211-2-2-2-21111-2-200-1-1-1-111111120-2211-2-2111100000022-1-10000000000-1-1-1-1001-1-2211-1-102-20000000000-1100
χ332222-122222-1-122222-12222-1-12-122-1-1-1-12-1-1-122-1-1-1-122220022-1-1-1-1-1-1-1-1-1-1022200000000-1-122220000-1-1-1-1-1-1-1-1-1-100000022-1-1-1-1-1-1000220000000000-1-1
χ342222-122222-1-122222-12222-1-12-122-1-1-1-12-1-1-122-1-1-1-122220022-1-1-1-1-1-1-1-1-1-102-2-200000000-1-122220000-1-1-1-1-1-1-1-1-1-1000000-2-2111111000-2-2000000000011
χ352222-122222-1-122222-12222-1-12-122-1-1-1-12-1-1-122-1-1-1-1222200-2-2-1-1-1-1-1-1-1-1-1-10-2220000000011-2-2-2-20000111111111100000022-1-1-1-1-1-1000-2-2000000000011
χ362222-122222-1-122222-12222-1-12-122-1-1-1-12-1-1-122-1-1-1-1222200-2-2-1-1-1-1-1-1-1-1-1-10-2-2-20000000011-2-2-2-200001111111111000000-2-2111111000220000000000-1-1
χ372222-122-2-22-1-122222-1-2-2-2-2-1-12-122-1-1-1-12-111-2-21111-2-2-2-20022-1-1-1-11111110-22-200000000-1-122-2-2000011-1-1-1-111110000002-2-11-1-1110002-20000000000-11
χ382222-122-2-22-1-122222-1-2-2-2-2-1-12-122-1-1-1-12-111-2-21111-2-2-2-20022-1-1-1-11111110-2-2200000000-1-122-2-2000011-1-1-1-11111000000-221-111-1-1000-2200000000001-1
χ392222-122-2-22-1-122222-1-2-2-2-2-1-12-122-1-1-1-12-111-2-21111-2-2-2-200-2-2-1-1-1-1111111022-20000000011-2-2220000-1-11111-1-1-1-10000002-2-11-1-111000-2200000000001-1
χ402222-122-2-22-1-122222-1-2-2-2-2-1-12-122-1-1-1-12-111-2-21111-2-2-2-200-2-2-1-1-1-111111102-220000000011-2-2220000-1-11111-1-1-1-1000000-221-111-1-10002-20000000000-11
χ4122-2-2222002-222-2-2-2-2-2000022222-2-2-22-2-2-20000000000002-22-222-2-200000000002-22-222-2-22-22-20000000022-2-2000000002-200000000000002-20000000000
χ4222-2-2222002-222-2-2-2-2-2000022222-2-2-22-2-2-20000000000002-2-2222-2-200000000002-22-222-2-2-22-2200000000-2-22200000000-220000000000000-220000000000
χ4322-2-2222002-222-2-2-2-2-2000022222-2-2-22-2-2-2000000000000-222-222-2-20000000000-22-22-2-2222-22-20000000022-2-200000000-220000000000000-220000000000
χ4422-2-2222002-222-2-2-2-2-2000022222-2-2-22-2-2-2000000000000-22-2222-2-20000000000-22-22-2-222-22-2200000000-2-222000000002-200000000000002-20000000000
χ4522-2-222-1002-22-11-21-2-233−3−32-1-12-11-21-111-2000033−3−333−3−32-22-2-1-1110033−3−300002-2-11-1-1112-2-113−33−30000-1-11133−3−333−3−32-20000000000000-113−300000000
χ4622-2-222-1002-22-11-21-2-233−3−32-1-12-11-21-111-2000033−3−333−3−32-2-22-1-1110033−3−300002-2-11-1-111-221-1−333−3000011-1-1−3−33333−3−3-2200000000000001-1−3300000000
χ4722-2-222-1002-22-11-21-2-233−3−32-1-12-11-21-111-2000033−3−333−3−3-222-2-1-1110033−3−30000-221-111-1-12-2-113−3−330000-1-11133−3−3−3−333-2200000000000001-1−3300000000
χ4822-2-222-1002-22-11-21-2-233−3−32-1-12-11-21-111-2000033−3−333−3−3-22-22-1-1110033−3−30000-221-111-1-1-221-1−33−33000011-1-1−3−333−3−3332-20000000000000-113−300000000
χ4922-2-222-1002-22-11-21-2-2−3−3332-1-12-11-21-111-20000−3−333−3−3332-22-2-1-11100−3−33300002-2-11-1-1112-2-11−33−330000-1-111−3−333−3−3332-20000000000000-11−3300000000
χ5022-2-222-1002-22-11-21-2-2−3−3332-1-12-11-21-111-20000−3−333−3−3332-2-22-1-11100−3−33300002-2-11-1-111-221-13−3−33000011-1-133−3−3−3−333-2200000000000001-13−300000000
χ5122-2-222-1002-22-11-21-2-2−3−3332-1-12-11-21-111-20000−3−333−3−333-222-2-1-11100−3−3330000-221-111-1-12-2-11−333−30000-1-111−3−33333−3−3-2200000000000001-13−300000000
χ5222-2-222-1002-22-11-21-2-2−3−3332-1-12-11-21-111-20000−3−333−3−333-22-22-1-11100−3−3330000-221-111-1-1-221-13−33−3000011-1-133−3−333−3−32-20000000000000-11−3300000000
χ532-22-22222-2-22-2-2-2-222-22-22-2222-2-2-222-2-22-22-22-22-22-22-22-200002-2-222-22-22-200000000000000000000000000000000000000000000000000000002i−2i2i−2i0000
χ542-22-22222-2-22-2-2-2-222-22-22-2222-2-2-222-2-22-22-22-22-22-22-22-200002-2-222-22-22-20000000000000000000000000000000000000000000000000000000−2i2i−2i2i0000
χ552-22-2222-22-22-2-2-2-222-2-22-22222-2-2-222-2-22-2-22-22-22-22-22-2200002-2-22-22-22-2200000000000000000000000000000000000000000000000000000002i−2i−2i2i0000
χ562-22-2222-22-22-2-2-2-222-2-22-22222-2-2-222-2-22-2-22-22-22-22-22-2200002-2-22-22-22-220000000000000000000000000000000000000000000000000000000−2i2i2i−2i0000
χ5744444-2-244-244-2-2-2-2-24-2-2-2-2-2-21-211-2-2-2-21-244-2-2-2-2-2-2111144001111-2-211114000-2-2-2-21111000000-2-2-2-200000000001111000000000000000000000000000
χ5844444-2-244-244-2-2-2-2-24-2-2-2-2-2-21-211-2-2-2-21-244-2-2-2-2-2-21111-4-4001111-2-21111-40002222-1-1-1-100000022220000000000-1-1-1-1000000000000000000000000000
χ5944444-2-2-4-4-244-2-2-2-2-242222-2-21-211-2-2-2-21-2-4-4222222-1-1-1-14400111122-1-1-1-1-4000-2-2-2-2111100000022220000000000-1-1-1-1000000000000000000000000000
χ6044444-2-2-4-4-244-2-2-2-2-242222-2-21-211-2-2-2-21-2-4-4222222-1-1-1-1-4-400111122-1-1-1-140002222-1-1-1-1000000-2-2-2-200000000001111000000000000000000000000000
χ614444-24-2444-2-2-2-24-24-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2441111-2-2-2-200441111-2-21111040000000000-2-2-2-2-2-20000-2-2111111110000000000000000000000000000000
χ624444-24-2444-2-2-2-24-24-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2441111-2-2-2-200-4-41111-2-211110-40000000000222222000022-1-1-1-1-1-1-1-10000000000000000000000000000000
χ634444-24-2-4-44-2-2-2-24-24-22222-21-2-2-2-2-2111-2-222-4-4-1-1-1-122220044111122-1-1-1-10-40000000000-2-2-2-2220000221111-1-1-1-10000000000000000000000000000000
χ644444-24-2-4-44-2-2-2-24-24-22222-21-2-2-2-2-2111-2-222-4-4-1-1-1-1222200-4-4111122-1-1-1-10400000000002222-2-20000-2-2-1-1-1-111110000000000000000000000000000000
χ654444-2-2444-2-2-244-24-2-244441-2-21-2-21-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-20000111111111100440000000000000000000000000000000000-2-2-2-2111100000000000000000
χ664444-2-2444-2-2-244-24-2-244441-2-21-2-21-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-20000111111111100-4-400000000000000000000000000000000002222-1-1-1-100000000000000000
χ674444-2-24-4-4-2-2-244-24-2-2-4-4-4-41-2-21-2-21-2-2-2-2122222222222200001111-1-1-1-1-1-1004-40000000000000000000000000000000000-22-2211-1-100000000000000000
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χ7244-4-44-2-200-2-44-22222-42323−23−23-2-21-21-122-22-1200002323−23−23−3−333-440011-1-100−3−33300002-22-2-1-111000000−232300000000000033−3−3000000000000000000000000000
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χ994-4-4444400-4-4-4-444-4-440000444-4-44-4-4-44-4400000000000000004-44-4000000000000000000000000000000000000000000000000000000000000000000000
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χ1114-4-44-24-200-4222-242-4-223−23−2323-21-222-22-1-112-20000−333−323−23−232300001-11-100−333−300000000000000000000002i3−2i3−3i3i3i−3i−i3i3i3−i30000000000000000000000000000000
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χ1148888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4222222220000-1-1-1-122-1-1-1-1000000000000000000000000000000000000000000000000000000000000000
χ1158888-4-4-4-8-8-4-4-4-4-4-4-4-4-444442222222222224444-2-2-2-2-2-2-2-20000-1-1-1-1-2-21111000000000000000000000000000000000000000000000000000000000000000
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χ11888-8-8-4-4-400-44-4-444444−43−43434322222-2-2-22-2-2-200002323−23−232323−23−230000-1-11100−3−333000000000000000000000000000000000000000000000000000000000000000
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χ1208-88-8-4-4-4-884-44444-4-444-44-4222-2-2-222-2-22-24-44-4-22-22-22-220000-111-1-221-11-1000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).