Finite Group Databasebeta

← Group #13169449

Character table — Group #13169449

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444466666688888888888812121212121212121212121212121212121212121212121818181818182424242424242424242424242424363636363636363636363654547272108
order1222333446666666663336666666661212121212121212121244121212123666121212121212121244444121212121212121212121212121212121212444444121212121212121212121212121244412121212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-11111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-11
χ51111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-111111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1111111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11-11-11-111-1-111-1-11-1-111-1-111-1-1111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-11-1-11-1111-1-1-1-111-111-1-11111-1-1-1-1-111
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-111-11-1-1-11111-1-11-11-1-111-1-111-1-11-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-11111-1-1-1-111-1-111-11-11-11-1-111-1-111-11-111-1-1-1-11111-11-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-1-11111-1-111-1-1-1-1111111-1-1111-11-11-111-1-111-1-1-11-111-1-1-1-111-1-1-111
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1111-1-11-1111-1-1-1-1111-11-1-111-1-111111-1-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-111-1-11111-1-1-1-11111-1-111-1-1-111-11-1-1-11111-1-1-111-1-11111-1-111-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-111111111-1-1-11-11-11-1-111-1-1111-1-111-1-111-1-1-1-11-11
χ17222222-1222222-1-1-1222-1-1-1-1-1-1222-1-122-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-122220000022220000000000220000-1-1-1-122-1-1-1-1-1-1-1-1002-1-1-1-1000000000
χ18222222-1222222-1-1-1222-1-1-1-1-1-1222-1-122-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-122-2-20000022220000000000-2-20000-1-111-2-2-1-1-1-1111100-21111000000000
χ19222222-1222222-1-1-1222-1-1-1-1-1-1222-1-122-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-1-2-22200000-2-2-2-20000000000-2-2000011-1-1221111-1-1-1-100-21111000000000
χ20222222-1222222-1-1-1222-1-1-1-1-1-1222-1-122-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000-2-2-2-200000000002200001111-2-211111111002-1-1-1-1000000000
χ21222222-1-2-22222-1-1-1222-1-1-1-1-1-1222-1-1-2-211-2-2-2-2-2-2000000-1-1-1-1111111112-22-20000022-2-20000000000220000-11-112-2-1-111-1-11100-2-1-111000000000
χ22222222-1-2-22222-1-1-1222-1-1-1-1-1-1222-1-1-2-211-2-2-2-2-2-2000000-1-1-1-1111111112-2-220000022-2-20000000000-2-20000-111-1-22-1-11111-1-100211-1-1000000000
χ23222222-1-2-22222-1-1-1222-1-1-1-1-1-1222-1-1-2-211-2-2-2-2-2-2000000-1-1-1-111111111-222-200000-2-2220000000000-2-200001-1-112-211-1-1-1-11100211-1-1000000000
χ24222222-1-2-22222-1-1-1222-1-1-1-1-1-1222-1-1-2-211-2-2-2-2-2-2000000-1-1-1-111111111-22-2200000-2-22200000000002200001-11-1-2211-1-111-1-100-2-1-111000000000
χ2522222-122222-1-1222-12-12-122-1-1-1-1-12-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1220022222-1-1-1-1-1-1-1-1-1-1-1-1-1-1002222220000-1-1-1-100000000000-1-1-1-100000
χ2622222-122222-1-1222-12-12-122-1-1-1-1-12-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-200222221111-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-20000111100000000000111100000
χ2722222-122222-1-1222-12-12-122-1-1-1-1-12-1-1-12222-1-1-1-1-2-21111-1-1-1-122-1-1-1-1-1-12200-2-2-2-2-2-1-1-1-1111111111100-2-2-2-2220000-1-1-1-100000000000111100000
χ2822222-122222-1-1222-12-12-122-1-1-1-1-12-1-1-12222-1-1-1-1-2-21111-1-1-1-122-1-1-1-1-1-1-2-200-2-2-2-2-211111111111111002222-2-20000111100000000000-1-1-1-100000
χ2922222-12-2-222-1-1222-12-12-122-1-1-1-1-12-111-2-2-2-2111122-1-1-1-1-1-1-1-1-2-21111112-200-222-2-2-1-11111-1-1-1-111110022-2-22-20000-1-11100000000000-1-11100000
χ3022222-12-2-222-1-1222-12-12-122-1-1-1-1-12-111-2-2-2-2111122-1-1-1-1-1-1-1-1-2-2111111-2200-222-2-211-1-111-1-1-1-1111100-2-222-22000011-1-10000000000011-1-100000
χ3122222-12-2-222-1-1222-12-12-122-1-1-1-1-12-111-2-2-2-21111-2-21111-1-1-1-1-2-21111112-2002-2-222-1-111-1-11111-1-1-1-100-2-2222-20000-1-1110000000000011-1-100000
χ3222222-12-2-222-1-1222-12-12-122-1-1-1-1-12-111-2-2-2-21111-2-21111-1-1-1-1-2-2111111-22002-2-22211-1-1-1-11111-1-1-1-10022-2-2-22000011-1-100000000000-1-11100000
χ332222-12222-1-1222222-1-1-12-1-122-1-1-1-122222-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-100222-1-1-1-1000022-1-1-1-1-1-1-1-10000000022-1-10000-1-1-1-12200000000000-1-10
χ342222-12222-1-1222222-1-1-12-1-122-1-1-1-122222-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-100-2-22-1-1-1-1000022-1-1-1-1-1-1-1-100000000-2-21100001111-2-200000000000110
χ352222-12222-1-1222222-1-1-12-1-122-1-1-1-122222-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-10022-211110000-2-2111111110000000022-1-10000-1-1-1-1-2-200000000000110
χ362222-12222-1-1222222-1-1-12-1-122-1-1-1-122222-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-100-2-2-211110000-2-21111111100000000-2-211000011112200000000000-1-10
χ372222-122-2-2-1-1222222-1-1-12-1-122-1-1-1-12-2-2-2-2111111222222-1-1-1-111-2-21111002-2-2-1-1110000-2-2-1-1-1-11111000000002-2-110000-1-1112-200000000000-110
χ382222-122-2-2-1-1222222-1-1-12-1-122-1-1-1-12-2-2-2-2111111222222-1-1-1-111-2-2111100-22-2-1-1110000-2-2-1-1-1-1111100000000-221-1000011-1-1-22000000000001-10
χ392222-122-2-2-1-1222222-1-1-12-1-122-1-1-1-12-2-2-2-2111111-2-2-2-2-2-2-1-1-1-111-2-21111002-2211-1-10000221111-1-1-1-1000000002-2-110000-1-111-22000000000001-10
χ402222-122-2-2-1-1222222-1-1-12-1-122-1-1-1-12-2-2-2-2111111-2-2-2-2-2-2-1-1-1-111-2-2111100-22211-1-10000221111-1-1-1-100000000-221-1000011-1-12-200000000000-110
χ4122-2-22222-2-2-2-22-2-22-22222-2-2-2-22-2-2222-22-22-222-2-20000002-2-222-22-222-2-200000000000000000000000002i−2i2i−2i0000000000000000000002i−2i2i−2i00000
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χ4322-2-2222-22-2-2-22-2-22-22222-2-2-2-22-2-222-22-22-22-2-2220000002-2-22-22-22-2-22200000000000000000000000002i−2i−2i2i0000000000000000000002i−2i−2i2i00000
χ4422-2-2222-22-2-2-22-2-22-22222-2-2-2-22-2-222-22-22-22-2-2220000002-2-22-22-22-2-2220000000000000000000000000−2i2i2i−2i000000000000000000000−2i2i2i−2i00000
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χ4822-2-22-122-2-2-21-1-2-2212-12-1-2-211-1112-1-112-22-2-1-11100−3−333-111-12-2-11-1-111000000000i3−i3i3−i3−33−3−333−3−333002i−2i2i−2i000000i3−i3i3−i300000000000−ii−ii00000
χ4922-2-22-12-22-2-21-1-2-2212-12-1-2-211-1112-11-1-22-2211-1-10033−3−3-111-1-221-111-1-1000000000−i3i3i3−i3−3333−3−3−3−333002i−2i−2i2i000000−i3i3i3−i300000000000−iii−i00000
χ5022-2-22-12-22-2-21-1-2-2212-12-1-2-211-1112-11-1-22-2211-1-10033−3−3-111-1-221-111-1-1000000000i3−i3−i3i3−3333−3−3−3−33300−2i2i2i−2i000000i3−i3−i3i300000000000i−i−ii00000
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χ552-22-2222002-22-22-2-2-2-22222-22-2-22-2-2-20000000000-22-22-2222-2-20000000000000-2200000000-22-2200002-20000000000000000000002-2000000-22000
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χ7444-4-44-2-2-44-4-42-222-224-2-2122-1-1-222-212-22-2-4422-2-20000001-1-112-2-11-1-1110000000002i3−2i3−2i32i30000000000000000000000−i3i3i3−i300000000000000000000
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χ8144-4-4-2-244-4222-2-4-442-21-2-222221-1-1-2-2-224-4-2211-1-1002323−23−231-1-11-22-2211-1-1000000000000023−23−3−333−3−333000000000000000000000000000000000000
χ8244-4-4-2-244-4222-2-4-442-21-2-222221-1-1-2-2-224-4-2211-1-100−23−2323231-1-11-22-2211-1-10000000000000−232333−3−333−3−3000000000000000000000000000000000000
χ8344-4-4-2-24-44222-2-4-442-21-2-222221-1-1-2-22-2-442-2-1-111002323−23−231-1-112-22-2-1-1110000000000000−2323−3−33333−3−3000000000000000000000000000000000000
χ8444-4-4-2-24-44222-2-4-442-21-2-222221-1-1-2-22-2-442-2-1-11100−23−2323231-1-112-22-2-1-111000000000000023−2333−3−3−3−333000000000000000000000000000000000000
χ854-44-444-2004-44-4-222-4-44-2-2-22-22-44-4220000000000000000-2-22200000000000000000000000000000004-4000000000000000000000-2200000000000
χ864-44-444-2004-44-4-222-4-44-2-2-22-22-44-4220000000000000000-2-2220000000000000000000000000000000-440000000000000000000002-200000000000
χ874-44-44-24004-4-224-4-42-4-24-24-4-222-22-4200000000004-4-22-22-2-22200000000000004-400000000-22-220000000000000000000000000000000000000000
χ884-44-44-24004-4-224-4-42-4-24-24-4-222-22-420000000000-442-22-2-2-2220000000000000-44000000002-22-20000000000000000000000000000000000000000
χ894-44-4-24400-224-44-4-4-42-2-24-224-42-222-400000000004-44-44-4-2-2220000000000000-2200000000-22-220000000000000000000000000000000000000000
χ904-44-4-24400-224-44-4-4-42-2-24-224-42-222-40000000000-44-44-44-2-22200000000000002-2000000002-22-20000000000000000000000000000000000000000
χ914-44-4-2-2400-22-224-4-4221-2-2-22-22-11-1220000003i−3i3i−3i4-4-22-2211-1-100003i−3i3i−3i00000-22000000001-11-13i−3i3i−3i000000000000000000000000000000000000
χ924-44-4-2-2400-22-224-4-4221-2-2-22-22-11-1220000003i−3i3i−3i-442-22-211-1-100003i−3i3i−3i000002-200000000-11-11−3i3i−3i3i000000000000000000000000000000000000
χ934-44-4-2-2400-22-224-4-4221-2-2-22-22-11-122000000−3i3i−3i3i4-4-22-2211-1-10000−3i3i−3i3i00000-22000000001-11-1−3i3i−3i3i000000000000000000000000000000000000
χ944-44-4-2-2400-22-224-4-4221-2-2-22-22-11-122000000−3i3i−3i3i-442-22-211-1-10000−3i3i−3i3i000002-200000000-11-113i−3i3i−3i000000000000000000000000000000000000
χ954-4-4444400-44-4-4-44-44-4444-44-44-4-44-4-400000000000000004-44-40000000000000000000000000000000000000000000000000000000000000000000
χ964-4-4444-200-44-4-42-224-44-2-22-22-2-4-44220000000000000000-22-2200000000000000000000000000000000000000000000000000000000−2i32i3000000000
χ974-4-4444-200-44-4-42-224-44-2-22-22-2-4-44220000000000000000-22-22000000000000000000000000000000000000000000000000000000002i3−2i3000000000
χ984-4-444-2400-4422-44-4-2-4-24-2-442-222-2-4200000000000023−23−2323-22-220000000000000000000000023−23−23230000000000000000000000000000000000000000
χ994-4-444-2400-4422-44-4-2-4-24-2-442-222-2-42000000000000−232323−23-22-2200000000000000000000000−232323−230000000000000000000000000000000000000000
χ1004-4-44-244002-2-4-4-44-442-2-242-2-4422-22-40000000000000000-22-22000000000000000−2i32i30000000000−2i32i32i3−2i3000000000000000000000000000000000000
χ1014-4-44-244002-2-4-4-44-442-2-242-2-4422-22-40000000000000000-22-220000000000000002i3−2i300000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ1024-4-44-2-24002-222-44-4-221-2-22-22-2-1-11220000003i−3i−3i3i0023−23−23231-11-100003i−3i−3i3i0000000−2i32i3000000−333−3i3−i3−i3i3000000000000000000000000000000000000
χ1034-4-44-2-24002-222-44-4-221-2-22-22-2-1-11220000003i−3i−3i3i00−232323−231-11-100003i−3i−3i3i00000002i3−2i30000003−3−33−i3i3i3−i3000000000000000000000000000000000000
χ1044-4-44-2-24002-222-44-4-221-2-22-22-2-1-1122000000−3i3i3i−3i0023−23−23231-11-10000−3i3i3i−3i00000002i3−2i3000000−333−3−i3i3i3−i3000000000000000000000000000000000000
χ1054-4-44-2-24002-222-44-4-221-2-22-22-2-1-1122000000−3i3i3i−3i00−232323−231-11-10000−3i3i3i−3i0000000−2i32i30000003−3−33i3−i3−i3i3000000000000000000000000000000000000
χ1068888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-42222000000-1-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000000000000000
χ1078888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-2-2-2-2000000-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-48-8444-444-44-4222-2-2-2-22-2-222-44-44-4422-2-2000000-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-4-88444-444-44-4222-2-2-2-22-2-2224-44-44-4-2-222000000-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000000000
χ1108-88-88-4-4008-8-44-4444-8-4-42-442-24-444-2000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-48-400-448-8-444-84-42-42-2-444-44-24000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-400-44-44-444442222-22-2-22-2-2-20000006i−6i6i−6i000000-1-1110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-400-44-44-444442222-22-2-22-2-2-2000000−6i6i−6i6i000000-1-11100003i−3i3i−3i00000000000000000000000000000000000000000000000000000000000
χ1148-8-888-4-400-88444-44-4-8-4-424-4-2244-44-200000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-48-4004-4-8-84-4484-42-4-224-444-4-2400000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-4004-4444-44-44222-22-22-2-22-2-20000006i−6i−6i6i000000-11-110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4004-4444-44-44222-22-22-2-22-2-2000000−6i6i6i−6i000000-11-1100003i−3i−3i3i00000000000000000000000000000000000000000000000000000000000

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