Finite Group Databasebeta

← Group #13171973

Character table — Group #13171973

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222244444444444444444488888888888888999912121212121212121212121212121818181818181818181818181818242424242424242424242424242424242424242436363636363636363636108108
order1222223336666666663336666666666666663666666666666644442444446612121212121244444444441212121266612121212121212121212121212121212121212121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-11111111-1-11-111-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-111-11-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ511111111111111111111111111111111111111111111111111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1111-1-1-1-11111-1-11111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-11111-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-111-1-111111111-1-1-1-1-1-11111-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ91111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1111111-11-1-111-1-1-1-111-1-111-1-111-1-111111111-111-1-1-1-1-111-1-111-1-1-1-111-1-111-1-11-1
χ101111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1111111-1-11-111-1-1-1-111-1-1-1-111-1-1111111111-111-1-1-11-1-111-1-1-1-111-1-1-1-111-1-111-11
χ111111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-11111-1-111-11-1-11111-1-1-1-1-1-111-1-1111111-1-1-11-1-1111-111-1-11111-1-1-1-1-1-111-1-1111-1
χ121111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-11111-1-11-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11-1-111111-1-111-1-111-1-111-1-111-1-1-11
χ131111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-11-11-1-1-1-1-11111-1-11111-1-1-1-111-11
χ141111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-11-11-111-1-111-1-11111-1-1-1-111-1-1-1-1111-11-1-1-111-1-1-1-111-1-11111-1-11111-1-11-1
χ151111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-11-11-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-11-1111-1-11111-1-111-1-111-1-11111-1-1-11
χ161111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-11-111111-1-1-1-1111111-1-1-1-1111-1
χ1722222222-1222-1-122-122-1-12222-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-100002002222222000000000022220000-1-1-1-1-102-102-1-10000-1-1-1-100-1-1-1-1000000
χ1822222222-1222-1-122-122-1-12222-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-10000200-2-2222220000000000-2-2-2-20000-1-1-1110-2-10-2-1-100001111001111000000
χ1922222222-1222-1-122-122-1-12222-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-10000-20022-2-2-2-2-20000000000-2-2-2-20000111-1-102102110000-1-1-1-1001111000000
χ2022222222-1222-1-122-122-1-12222-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-10000-200-2-2-2-2-2-2-2000000000022220000111110-210-2110000111100-1-1-1-1000000
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χ222222222-122-1-1222-122-12-122-1-122-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-12222-2-2-200-2111111112200000000-1-1-1-1-21100-20-2-201111110000-1-10000000000
χ232222222-122-1-1222-122-12-122-1-122-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-22-2-2002-1-1-1-11111-2-20000000011112-1-100-202-20-1-111110000110000000000
χ242222222-122-1-1222-122-12-122-1-122-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-2-22200-21111-1-1-1-1-2-2000000001111-2110020-22011-1-1-1-10000110000000000
χ25222222-122-12222-122-1-1-12-1-12222-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-10000022220000022220022220000000000022-1-10-1-100-1-1-1-1-1-1-1-1000000-1-1-1-100
χ26222222-122-12222-122-1-1-12-1-12222-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-10000022-2-200000222200-2-2-2-200000000000-2-2-110-1100-1-1-1-11111000000111100
χ27222222-122-12222-122-1-1-12-1-12222-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-100000-2-22200000-2-2-2-200-2-2-2-200000000000221-101-1001111-1-1-1-1000000111100
χ28222222-122-12222-122-1-1-12-1-12222-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-100000-2-2-2-200000-2-2-2-200222200000000000-2-2110110011111111000000-1-1-1-100
χ292222-2-222-1222-1-122-122-1-1-2-2-2-2112-1-1-122-1-1-1-1-2-21111-1-1-1111100002002-2-222-2-2000000000022-2-20000-1-1-1-110210-2110000-1-11100-1-111000000
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χ342222-2-22-122-1-1222-122-12-1-2-211-2-2-12-1-1-1-122-1-111-2-211-1-1-111112222-2-2200211-1-1-1-111-2-200000000-1-1-1-1-21100-20220-1-111-1-10000110000000000
χ352222-2-22-122-1-1222-122-12-1-2-211-2-2-12-1-1-1-122-1-111-2-211-1-1-11111-2-2-2-22-2200-2-1-111-1-111220000000011112-1-100-20-2201111-1-10000-1-10000000000
χ362222-2-22-122-1-1222-122-12-1-2-211-2-2-12-1-1-1-122-1-111-2-211-1-1-11111-2-2-2-2-22-200211-1-111-1-122000000001111-21100202-20-1-1-1-1110000-1-10000000000
χ372222-2-2-122-12222-122-1-1-1211-2-2-2-2-1-122-1-1-1-12-11111-2-2-1-1-11111000002-22-200000-2-2220022-2-2000000000002-2-1-101100-1-111-1-111000000-1-11100
χ382222-2-2-122-12222-122-1-1-1211-2-2-2-2-1-122-1-1-1-12-11111-2-2-1-1-11111000002-2-2200000-2-22200-2-22200000000000-22-1101-100-1-11111-1-100000011-1-100
χ392222-2-2-122-12222-122-1-1-1211-2-2-2-2-1-122-1-1-1-12-11111-2-2-1-1-1111100000-222-20000022-2-200-2-222000000000002-21-10-110011-1-1-1-11100000011-1-100
χ402222-2-2-122-12222-122-1-1-1211-2-2-2-2-1-122-1-1-1-12-11111-2-2-1-1-1111100000-22-220000022-2-20022-2-200000000000-22110-1-10011-1-111-1-1000000-1-11100
χ4122-2-200222-22-22-2-2-2-22222000000-2-22-22-22-2-220000002-2-200002i2i−2i−2i00000000000000002-2002i−2i002i2i−2i−2i00000000000000000000002i−2i002-20000
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χ512-2-222-22-1221-1-2-2-212-2-12-12-2-112-2-121111-2-2-1-1-112-2-1111-1-1-1112i−2i−2i2i000000−i3i3−i3i33−33−32i−2i00000000−iii−i0−i3i30000000−i3i33−33−30000−ii0000000000
χ522-2-222-22-1221-1-2-2-212-2-12-12-2-112-2-121111-2-2-1-1-112-2-1111-1-1-1112i−2i−2i2i000000i3−i3i3−i3−33−332i−2i00000000−iii−i0i3−i30000000i3−i3−33−330000−ii0000000000
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χ894-4-444-4-24-2-2-44222-4-22-21-2-224-4-22-212222-1-1-21-221-1-22-1-1111-1-10000000000000000000000000000000000000000000000003i−3i3i−3i000000000000
χ904-4-444-4-24-2-2-44222-4-22-21-2-224-4-22-212222-1-1-21-221-1-22-1-1111-1-1000000000000000000000000000000000000000000000000−3i3i−3i3i000000000000
χ914-4-444-4-2-24-22-2-4-422421-2-2-22-224-41-222-1-122-211-1-22-22-1-1111-1-10000000000000023−2323−2300000000000000000000000000−33−330000000000000000
χ924-4-444-4-2-24-22-2-4-422421-2-2-22-224-41-222-1-122-211-1-22-22-1-1111-1-100000000000000−2323−2323000000000000000000000000003−33−30000000000000000
χ934-4-44-4444-24-4422-4-4-2-44-2-2-44-442-24-222-4-422-2-2-442-22-222-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ944-4-44-444-2-242-222-42-2-4-2-21-442-22-2-2-2-1-12222112-22-2-11-1-11-1-1110000000000−2i32i32i3−2i30000000000000000000i3−i30000000−i3i300000000000000000000
χ954-4-44-444-2-242-222-42-2-4-2-21-442-22-2-2-2-1-12222112-22-2-11-1-11-1-11100000000002i3−2i3−2i32i30000000000000000000−i3i30000000i3−i300000000000000000000
χ964-4-44-44-244-2-44-4-42-442-2-242-2-44-44-2-2-4-422224-22-22-2-4422-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ974-4-44-44-24-2-2-44222-4-22-21-22-2-442-2-212222-1-1-212-2-112-2-1-11-1-1110000000000000000000000000000000000000000000000003i−3i−3i3i000000000000
χ984-4-44-44-24-2-2-44222-4-22-21-22-2-442-2-212222-1-1-212-2-112-2-1-11-1-111000000000000000000000000000000000000000000000000−3i3i3i−3i000000000000
χ994-4-44-44-2-24-22-2-4-422421-2-22-22-2-441-222-1-122-21-112-22-2-1-11-1-1110000000000000023−23−2323000000000000000000000000003−3−330000000000000000
χ1004-4-44-44-2-24-22-2-4-422421-2-22-22-2-441-222-1-122-21-112-22-2-1-11-1-11100000000000000−232323−2300000000000000000000000000−333−30000000000000000
χ101888888-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4-4-4222222222-1222222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ1028888-8-8-4-4-4-4-4-4-4-4-4-4-4-4222444444222222222-1-2-2-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8008-4-4-8-44-44-8448-4-42000000442-2-44-44-220000002-2-200000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-800-48-448-8-444-84-4-42-40000004-2-44-442-2420000002-2-200000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-800-4-484-448-844-8-42-4-4000000-24-442-2-44420000002-2-200000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-800-4-4-44-44-44444-4222000000-2-22-22-22-2-2-1000000-111−3i33i3−3i33i30000000000000000000000000000000000000000000000000000000000000000
χ10788-8-800-4-4-44-44-44444-4222000000-2-22-22-22-2-2-1000000-1113i3−3i33i3−3i30000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8008-4-4-8444-48-44-8-4-4200000044-224-44-4-22000000-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-800-48-44-8-84-4-4844-42-40000004-24-44-4-2242000000-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-800-4-48444-88-4-4-842-4-4000000-244-4-224-442000000-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-800-4-4-44444-4-4-444222000000-2-2-22-22-22-2-10000001-11−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000000
χ1128-88-800-4-4-44444-4-4-444222000000-2-2-22-22-22-2-10000001-113i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000000
χ1138-8-888-8-4-4-4-44-44444-44222-44-44-4422-2-2-2-2-2-22-12-22-22-211-1-1-1110000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-88-4-4-4-44-44444-442224-44-44-422-2-2-2-2-2-22-1-22-22-2211-111-1-10000000000000000000000000000000000000000000000000000000000000000

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