Finite Group Databasebeta

← Group #13170738

Character table — Group #13170738

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order1222333666666666333466666666612122222443666121212121212121212121212444444466666666121212121212121222441212121266661212121212121212121212122446612121212446122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1111111-111111-1-1-1-11-1-111-1-1-1-1-1-11-1-1
χ3111111111111111111111111111111111-1-1111111111111111111111111-111-1-111-1-111111111-1-1-1-1111111-1-11-11-111-1-11111-11-1-1-111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-11-111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11111-111
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-11-11-1-111-1-11111-1-11111-1-111-1-1-1-1-1-111-1111-1-1111111-1-11-1-1-1-111-1-1-11-1
χ61111111111111111111111111111111-1-111-1-111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-11-1-111-1-1-1-1-11-1-1-111-1-111-1-11
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111-1-111-1-1-1-1111-11
χ81111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-111-1111111-1-1-1-1-111
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-11-11-1-11111-1-11-11-1-1-1-1-1-1-1-1111
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1111-1-111-1-11111-1-1-11111111-1-1
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1111111-1-111-1-1-1-1-1-1111-1-1-111-1-111-1-111-1-1-11111-1-11-11
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1111-11-111-1-1-1-1111-11-1-1-1-1-1-11111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-11111111-1-1-1111111-1-111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-111-1-1-111-1-111-1-1-1-11
χ17222222-12-1-1-1222222-1-122-1-1-1-12-1-1222222200-1-1-1-1-12-1-1-1-122-1-1-1-100000222222-1-1-1-10022000022000000-1-1-1-1-1-102-1-1-1-10000200-1-1000000-100
χ18222222-12-1-1-1222222-1-122-1-1-1-12-1-122222-2-200-1-1-1-1-12-1-1-1-122-1-1-1-1000002-222-2-2-1-11100220000-2-2000000-1-111-110-2-1-1110000-20011000000100
χ19222222-12-1-1-1222222-1-122-1-1-1-12-1-1222-2-22200-1-1-1-1-12-1-1-1-122-1-1-1-100000-22-2-22211-1-100-2-20000-2-200000011-1-11-10211-1-10000-20011000000100
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χ22222222-12-1-1-1222222-1-1-22-1-1-1-12-1-12-2-222-2-200-1-1-1-11-21111-2-2111100000-2222-2-2-1-11100-2-20000-2-2000000-1-1111-10211-1-1000020011000000-100
χ23222222-12-1-1-1222222-1-1-22-1-1-1-12-1-12-2-2-2-22200-1-1-1-11-21111-2-21111000002-2-2-22211-1-100220000-2-200000011-1-1-110-2-1-111000020011000000-100
χ24222222-12-1-1-1222222-1-1-22-1-1-1-12-1-12-2-2-2-2-2-200-1-1-1-11-21111-2-211110000022-2-2-2-2111100220000220000001111-1-102-1-1-1-10000-200-1-1000000100
χ2522222-1222222-1-1-12-12-12-12-12-1-12-1-1-1-1220022-1-1-1-12222-1-1-1-1-1-1-1-12222220-1-1002200-1-1-1-1-1-1220000-1-1-1-1-1-1002020-1-100-1-1-1-102000-1-10000000
χ2622222-1222222-1-1-12-12-12-12-12-1-12-1-1-1-12200-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-220-1-100220011-1-111-2-200001111-1-10020-20-1-10011110-2000110000000
χ2722222-1222222-1-1-12-12-12-12-12-1-12-1-1-1-1-2-20022-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-22-201100-2-200-1-111-1-122000011111100-20201100-1-1-1-10-2000110000000
χ2822222-1222222-1-1-12-12-12-12-12-1-12-1-1-1-1-2-200-2-2-1-1-1-12222-1-1-1-1-1-1-1-12222-2-201100-2-200111111-2-20000-1-1-1-11100-20-201100111102000-1-10000000
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χ3022222-1222222-1-1-12-12-1-2-12-12-1-12-1-1112200-2-2-1-1-1-1-2-2-2-211111111-2-2-2-22-20-1-1002200-1-11111-2-200001111-1-100-2020110011-1-102000-1-10000000
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χ3222222-1222222-1-1-12-12-1-2-12-12-1-12-1-111-2-200-2-2-1-1-1-1-2-2-2-21111111122222201100-2-200-1-1-1-111-2-20000-1-1-1-111002020-1-10011-1-10-2000110000000
χ332222-122-1222-1222-1-1-122-1-12-12-1-12-122002222-1-1-1-12-1-1-122-1-1-1-1-1-1000020200-1-10022220022-1-10022000000-1-102-1-100-1-1-1-1-1-10020000-1-1000-10
χ342222-122-1222-1222-1-1-122-1-12-12-1-12-1220022-2-2-1-1-1-12-1-1-122-1-1-1-1-1-10000-20200-1-10022-2-200-2-21100-2-2000000-1-1021-100-1-1111100-200001100010
χ352222-122-1222-1222-1-1-122-1-12-12-1-12-12200-2-222-1-1-1-12-1-1-122-1-1-1-1-1-1000020-2001100-2-2220022-1-100-2-2000000110-2-110011-1-1-1-100-200001100010
χ362222-122-1222-1222-1-1-122-1-12-12-1-12-12200-2-2-2-2-1-1-1-12-1-1-122-1-1-1-1-1-10000-20-2001100-2-2-2-200-2-2110022000000110-211001111110020000-1-1000-10
χ372222-122-1222-1222-1-1-12-2-1-12-12-1-12-1-2-2002222-1-1-1-1-2111-2-21111110000-20-200-1-10022-2-20022-1-10022000000-1-10-2110011-1-11100-20000-1-100010
χ382222-122-1222-1222-1-1-12-2-1-12-12-1-12-1-2-20022-2-2-1-1-1-1-2111-2-2111111000020-200-1-100222200-2-21100-2-2000000-1-10-2-11001111-1-1002000011000-10
χ392222-122-1222-1222-1-1-12-2-1-12-12-1-12-1-2-200-2-222-1-1-1-1-2111-2-21111110000-202001100-2-2-2-20022-1-100-2-200000011021-100-1-1-1-111002000011000-10
χ402222-122-1222-1222-1-1-12-2-1-12-12-1-12-1-2-200-2-2-2-2-1-1-1-1-2111-2-21111110000202001100-2-22200-2-21100220000001102-1-100-1-111-1-100-20000-1-100010
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χ4422-2-2222-22-2-222-2-2-22220-2-2-222-2-2-22000000002-2-22000000000000−2i−2i2i2i0000000000000000000-222i−2i−2i−2i2i2i0000000000000000000-22002i−2i00000
χ452-22-22222-22-2-2-22-2-2222022-2-2-2-2-22-200002-20022-2-20000000000002i−2i2i−2i000002-2002-20000000000002i−2i2i−2i002-20000000000000000000002i−2i000
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χ472-22-22222-22-2-2-22-2-2222022-2-2-2-2-22-20000-220022-2-20000000000002i−2i2i−2i00000-2200-220000000000002i−2i2i−2i00-22000000000000000000000−2i2i000
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χ914-4-444-2-2-422-2-422-24-2-2102212-1-2-2-1223−234-400001-11-10000−3323−23−3−3330000000-2200-22000023−230000000000001-1000000−3300000000000000000000
χ924-4-444-2-2-422-2-422-24-2-2102212-1-2-2-1223−23-4400001-11-10000−3323−23−3−33300000002-2002-20000−2323000000000000-110000003−300000000000000000000
χ934-4-444-2-2-422-2-422-24-2-2102212-1-2-2-12−23234-400001-11-100003−3−232333−3−30000000-2200-220000−23230000000000001-10000003−300000000000000000000
χ944-4-444-2-2-422-2-422-24-2-2102212-1-2-2-12−2323-4400001-11-100003−3−232333−3−300000002-2002-2000023−23000000000000-11000000−3300000000000000000000
χ954-4-44-2442-4-442-4-44-2-2-2402242-4-2-2-420000004-4-22-2200000000000000000000000000000004-4-2200000000000000000000-220000000000000000
χ964-4-44-2442-4-442-4-44-2-2-2402242-4-2-2-42000000-44-22-220000000000000000000000000000000-442-2000000000000000000002-20000000000000000
χ974-4-44-2-242-4-44222-2-21-2-20-12-2221-22-123−2300004-41-11-1000023−23−33−3−33300000000000000023−2300-22-22000000000000000000001-1−3300000000000000
χ984-4-44-2-242-4-44222-2-21-2-20-12-2221-22-123−230000-441-11-1000023−23−33−3−333000000000000000−2323002-22-200000000000000000000-113−300000000000000
χ994-4-44-2-242-4-44222-2-21-2-20-12-2221-22-1−232300004-41-11-10000−23233−333−3−3000000000000000−232300-22-22000000000000000000001-13−300000000000000
χ1004-4-44-2-242-4-44222-2-21-2-20-12-2221-22-1−23230000-441-11-10000−23233−333−3−300000000000000023−23002-22-200000000000000000000-11−3300000000000000
χ1018888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4000000-1-1-1-1-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222244000000-1-1-1-144-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000000
χ10388-8-88-4-4-8-4448-444-8-4-42044-2-4244-2-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-44-444-48-8-84-42-404-242-44-24-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4848-8-8-4-44442-4-40-244-4-4-2442000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-44-444-4-44442220-2-2-222-2-2-2200000000-111-100000000−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-44-444-4-44442220-2-2-222-2-2-2200000000-111-1000000003i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000
χ1088-88-88-4-484-44-84-44-8-4-420-4-4-24-244240000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-48-4-88-844-4442-4-402-4444-24-4-20000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4-44-4444-444222022-2-2-2-2-22-200000000-1-111006i−6i0000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4-44-4444-444222022-2-2-2-2-22-200000000-1-11100−6i6i00003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-48-4444-44-8-88-4-42-404-2-4-24-4244000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4444-4444-4-42220-2-22-2-222-2-243−43000000-11-110000−2323−232333−3−30000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4444-4444-4-42220-2-22-2-222-2-2−4343000000-11-11000023−2323−23−3−3330000000000000000000000000000000000000000000000000000000000000

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