Finite Group Databasebeta

← Group #13168338

Character table — Group #13168338

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order122233366666666633346666666661212121212121212224466663666121212121212121212444466666612121212121212121212121212121212441212121212121212121212124444412121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-111-111111111-1-1111111111111111-1-1-111-1-111-1-1-1-1-11-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111-11111111-1-111-1-11111-1-11111-1-1-1111-1-111-1-1111-1-1-11-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111111111111111111-1-111111111111111111-11-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111
χ51111111111111111111111111111111111111-1-111-1-1-1-111111111111111-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-111-1-11-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-11111111111111-1-11-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-11-1-1-111-1-111-1-11-1-1-11-1-1-1-1-1-111-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-111-1-111-1-1-11-11111-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-111-11-111111-1-1-1-1-11-1-1111-1-1-1-1-1111-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1-1-1111-11-1-111-1-1111-1-1-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11-1-11111-1-1-1-1111-1-11111-11-1-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-11-11-1-1-1-1-1111111-11-1-1-111-1-11-111-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-11-111111-1-1-1-111-11-1-1-111-1-11-11-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11111111111-1-11111-1-1-1-11-111-1-1-1-111-1-1111-1-11111-11-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-11-1-11111-1-11-11-1-111-1-1111-1-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-11111111111111-11-1-1-1-1-11111-11-1-1111-1-1-1-1-111-11
χ17222222-12-1222-12-122-1-122-1-1-12-12-1-122-1-1-1-1-1-122002222-1-1-1-1222-1-1-1-1-1-12202-1-1-1-1-1-100220022-1-100-1-1-1-1000-1-1200-1-100-1-120002000000-1-1000
χ18222222-12-1222-12-122-1-122-1-1-12-12-1-122-1-1-1-1-1-122002222-1-1-1-1222-1-1-1-1-1-1-220-2-1-1-1-1-1-100-2-20022-1-100-1-1-1-100011-200110011-2000-200000011000
χ19222222-12-1222-12-122-1-122-1-1-12-12-1-122-1-1-1-1-1-1-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-12-202111111002200-2-211001111000-1-1200-1-100-1-1-2000-200000011000
χ20222222-12-1222-12-122-1-122-1-1-12-12-1-122-1-1-1-1-1-1-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-2-20-211111100-2-200-2-21100111100011-20011001120002000000-1-1000
χ21222222-12-1222-12-122-1-1-22-1-1-12-12-1-1-2-211111122002222-1-1-1-1-2-2-21111112-20-2-1-1-1-1-1-100-2-200-2-211001111000-11200-1-10011-200020000001-1000
χ22222222-12-1222-12-122-1-1-22-1-1-12-12-1-1-2-211111122002222-1-1-1-1-2-2-2111111-2-202-1-1-1-1-1-1002200-2-2110011110001-1-2001100-1-12000-2000000-11000
χ23222222-12-1222-12-122-1-1-22-1-1-12-12-1-1-2-2111111-2-200-2-2-2-2-1-1-1-1-2-2-2111111220-211111100-2-20022-1-100-1-1-1-1000-11200-1-100112000-2000000-11000
χ24222222-12-1222-12-122-1-1-22-1-1-12-12-1-1-2-2111111-2-200-2-2-2-2-1-1-1-1-2-2-2111111-220211111100220022-1-100-1-1-1-10001-1-2001100-1-1-200020000001-1000
χ2522222-12-1222-12-122-12-12-12-1-1-12-12-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-1022022-1-1-1-12200-1-1-1-122-1-1-1-1-1-1222000-1-100-1-10000020-1-1-1-10000000
χ2622222-12-1222-12-122-12-12-12-1-1-12-12-1-1-122-1-1-1-122-2-2-1-1-1-1-1-1-1-12-1-122-1-1-1-102-2022-1-1-1-1-2-20011-1-12211-1-1-1-1-2-2-200011001100000-2011110000000
χ2722222-12-1222-12-122-12-12-12-1-1-12-12-1-1-122-1-1-1-1-2-2221111-1-1-1-12-1-122-1-1-1-10-220-2-211112200-1-111-2-2-1-11111-2-22000-1-100-1-100000-2011110000000
χ2822222-12-1222-12-122-12-12-12-1-1-12-12-1-1-122-1-1-1-1-2-2-2-21111-1-1-1-12-1-122-1-1-1-10-2-20-2-21111-2-2001111-2-211111122-20001100110000020-1-1-1-10000000
χ2922222-12-1222-12-122-12-1-2-12-1-1-12-12-111-2-211112222-1-1-1-1-1-1-1-1-211-2-211110-2-2022-1-1-1-12200-1-111-2-211111122-2000-1-1001100000-20-1-1110000000
χ3022222-12-1222-12-122-12-1-2-12-1-1-12-12-111-2-2111122-2-2-1-1-1-1-1-1-1-1-211-2-211110-22022-1-1-1-1-2-2001111-2-2-1-11111-2-220001100-1-1000002011-1-10000000
χ3122222-12-1222-12-122-12-1-2-12-1-1-12-12-111-2-21111-2-2221111-1-1-1-1-211-2-2111102-20-2-211112200-1-1-1-12211-1-1-1-1-2-2-2000-1-10011000002011-1-10000000
χ3222222-12-1222-12-122-12-1-2-12-1-1-12-12-111-2-21111-2-2-2-21111-1-1-1-1-211-2-211110220-2-21111-2-20011-1-122-1-1-1-1-1-12220001100-1-100000-20-1-1110000000
χ332222-12222-1-12222-1-1-122-1-122-1-1-1-122222222200220000-1-1-1-1-1-1-1-1-1-1-1-1-12022000000-1-1-1-122000022000000-122-1-1-1-1-1-1-1-1-1022000000-1-100-100
χ342222-12222-1-12222-1-1-122-1-122-1-1-1-122222222200220000-1-1-1-1-1-1-1-1-1-1-1-1-1-202-2000000-1-11122000022000000-1-2-21-1-111-1-1110-2-20000001100100
χ352222-12222-1-12222-1-1-122-1-122-1-1-1-122222222200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-120-2200000011-1-1-2-20000-2-2000000122-111-1-111-1-10-2-20000001100100
χ362222-12222-1-12222-1-1-122-1-122-1-1-1-122222222200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-20-2-20000001111-2-20000-2-20000001-2-2111111111022000000-1-100-100
χ372222-12222-1-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-200220000-1-1-1-111111111120-2-2000000-1-111220000-2-200000012-2-1-1-1-1-1111102-20000001100-100
χ382222-12222-1-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-200220000-1-1-1-1111111111-20-22000000-1-1-1-1220000-2-20000001-221-1-11111-1-10-22000000-1-100100
χ392222-12222-1-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-200-2-20000-1-1-1-1111111111202-20000001111-2-2000022000000-12-2-111-1-1-1-1110-22000000-1-100100
χ402222-12222-1-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-200-2-20000-1-1-1-1111111111-202200000011-1-1-2-2000022000000-1-2211111-1-1-1-102-20000001100-100
χ4122-2-2222-222-22-2-2-2-22220-222-22-2-2-2-2000000002-22-222-2-222-2-200000000000002-222-2-22-2002-200000000002-200002-2000000000002-2000000000
χ4222-2-2222-222-22-2-2-2-22220-222-22-2-2-2-2000000002-2-2222-2-222-2-200000000000002-222-2-2-2200-220000000000-220000-2200000000000-22000000000
χ4322-2-2222-222-22-2-2-2-22220-222-22-2-2-2-200000000-222-2-2-22222-2-20000000000000-22-2-2222-2002-20000000000-2200002-200000000000-22000000000
χ4422-2-2222-222-22-2-2-2-22220-222-22-2-2-2-200000000-22-22-2-22222-2-20000000000000-22-2-222-2200-2200000000002-20000-22000000000002-2000000000
χ4522-2-22-12122-2-1-21-2-2-12-1012-11-1-21-213−30033−3−32-22-2-1-111-1-11103−30033−3−300002-2-1-1112-200-113−3003−333−3−32-20000-11003−30000000-113−30000000
χ4622-2-22-12122-2-1-21-2-2-12-1012-11-1-21-213−30033−3−32-2-22-1-111-1-11103−30033−3−300002-2-1-111-22001-13−300−3333−3−3-2200001-100−3300000001-1−330000000
χ4722-2-22-12122-2-1-21-2-2-12-1012-11-1-21-213−30033−3−3-222-211-1-1-1-11103−30033−3−30000-2211-1-12-200-11−33003−3−3−333-220000-11003−300000001-1−330000000
χ4822-2-22-12122-2-1-21-2-2-12-1012-11-1-21-213−30033−3−3-22-2211-1-1-1-11103−30033−3−30000-2211-1-1-22001-1−3300−33−3−3332-200001-100−330000000-113−30000000
χ4922-2-22-12122-2-1-21-2-2-12-1012-11-1-21-21−3300−3−3332-22-2-1-111-1-1110−3300−3−33300002-2-1-1112-200-11−3300−33−3−3332-20000-1100−330000000-11−330000000
χ5022-2-22-12122-2-1-21-2-2-12-1012-11-1-21-21−3300−3−3332-2-22-1-111-1-1110−3300−3−33300002-2-1-111-22001-1−33003−3−3−333-2200001-1003−300000001-13−30000000
χ5122-2-22-12122-2-1-21-2-2-12-1012-11-1-21-21−3300−3−333-222-211-1-1-1-1110−3300−3−3330000-2211-1-12-200-113−300−3333−3−3-220000-1100−3300000001-13−30000000
χ5222-2-22-12122-2-1-21-2-2-12-1012-11-1-21-21−3300−3−333-22-2211-1-1-1-1110−3300−3−3330000-2211-1-1-22001-13−3003−333−3−32-200001-1003−30000000-11−330000000
χ5344444-2-2-2-244-2-2-2-24-2-214-2-211-2-2-2-21-2-2-2-211114400-2-2-2-211114-2-2-2-211110400-2-21111000000-2-2-2-2001111000000000000000000000000000000
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χ824-44-44-2-2-22-4-42-2224-2-210-22-112-222-10023−23−33−330000−2i32i3−2i32i31-11-100023−23−33−33000000i3−i3i3−i30000000000003i−3i3i−3i000000000000000000000000000000
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χ864-44-4-2444-422-44-4-4-2-2-240-22-442-222-40000000000000000-22-2200000000000000000000023−2300000000000000000000000023−230000000000000000
χ874-44-4-2444-422-44-4-4-2-2-240-22-442-222-40000000000000000-22-22000000000000000000000−2323000000000000000000000000−23230000000000000000
χ884-44-4-24-24222-4-2-42-2-21-20-2-12-2212-120023−2323−2323−23000000001-11-1000−33−33−3300000000000023−23000000000000000000003-300−330000000000000000
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χ914-44-4-24-24222-4-2-42-2-21-20-2-12-2212-1200−2323−2323−2323000000001-11-10003−33−33−3000000000000−2323000000000000000000003-3003−30000000000000000
χ924-4-44444-4-4-44-4-444-44440-4-4-4-4-4-444400000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000000
χ934-4-4444-2-42-44-424-2-44-2-20-4222-424-2-20000000000000000-222-2000000000000000000000000000−2i32i300−2i32i32i3−2i3000000000000000000000000000000
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χ954-4-444-242-4-442-4-24-4-24-202-4222-4-24-2000000000000−2i32i32i3−2i3-222-2000000000000000−2i32i32i3−2i30000000000000000000000000000000000000000000000
χ964-4-444-242-4-442-4-24-4-24-202-4222-4-24-20000000000002i3−2i3−2i32i3-222-20000000000000002i3−2i3−2i32i30000000000000000000000000000000000000000000000
χ974-4-444-2-222-4422-2-2-4-2-21022-1-122-2-2100003-3-330000−2i32i32i3−2i31-1-11000003-3-33000000i3−i3−i3i300000000−2i32i300i3−i3−i3i3000000000000000000000000000000
χ984-4-444-2-222-4422-2-2-4-2-21022-1-122-2-2100003-3-3300002i3−2i3−2i32i31-1-11000003-3-33000000−i3i3i3−i3000000002i3−2i300−i3i3i3−i3000000000000000000000000000000
χ994-4-444-2-222-4422-2-2-4-2-21022-1-122-2-210000-333-30000−2i32i32i3−2i31-1-1100000-333-3000000i3−i3−i3i3000000002i3−2i300−i3i3i3−i3000000000000000000000000000000
χ1004-4-444-2-222-4422-2-2-4-2-21022-1-122-2-210000-333-300002i3−2i3−2i32i31-1-1100000-333-3000000−i3i3i3−i300000000−2i32i300i3−i3−i3i3000000000000000000000000000000
χ1014-4-44-244-4-42-2-4-4442-2-24022-4-422-2-240000000000000000-222-2000000000000000000000000000000000000000000000000000000000023−2300000
χ1024-4-44-244-4-42-2-4-4442-2-24022-4-422-2-240000000000000000-222-20000000000000000000000000000000000000000000000000000000000−232300000
χ1038888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-4222200000000-1-1-1-1-42222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ1048888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-200000000-1-1-1-14-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ10588-8-8-48-4-8-4-4484-844-42-4042-44-4-24-24000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-44-4-44-444442220-222-22-2-2-2-243−4300−23−23232300000000-1-1110−23230033−3−300000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-44-4-44-444442220-222-22-2-2-2-2−4343002323−23−2300000000-1-111023−2300−3−33300000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-48-4-844484-8-42-4-40244-4-2-4-24400000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-4-44444-444-422202-2-22-22-2-2-20043−43−2323−232300000000-11-11000−23233−33−300000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4-44444-444-422202-2-22-22-2-2-200−434323−2323−2300000000-11-1100023−23−33−3300000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-4-844-4-848-44-42-404-2444-2-42-400000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-484-84-44-8-4842-4-40-2444-242-4-400000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4444-444-4-442220-2-2-2-2-2-222200006-6-6600000000-111-100000-333-300000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4444-444-4-442220-2-2-2-2-2-22220000-666-600000000-111-1000003-3-3300000000000000000000000000000000000000000000000000000000

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