Finite Group Databasebeta

← Group #13170744

Character table — Group #13170744

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order1222333666666666333466666666612122244443666121212121212121212121212444444466661212121212121212121212122244121212126612121212121212121212121212122446612121212226122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111111111-11111111111-1-111-1-1-1-1-1-111111111-1-1111111-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-1-1-1111-11111-1-1-1-111111-1-1-1-1-1-111-1-11-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-11-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-111
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-11-11-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1111-1-111111111-1-1111-1-1-1-1-1-1-11-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11-1-1-1-1-1-111111-11
χ71111111111111111111111111111111-1-1-1-11111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-11-1-1-111-1-111-1-11
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
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-111-1-11111-1-1-1
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1111-11-1-1-1-1-1-1-1-1111
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111-1-111-1-111-1-1-1-111-11-1-1-1-1-1-11111-1-1-111-1-11111-1-1-111
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1111-1-1-1-111-1-11111-11111-1-1111-1-1
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-111-11111-1-1-1-11-11
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11-1111111-1-1-1-111-111-1-1111111-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-111-1-111-1-11111-1-11-11-1-1-1-1-1-11111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1-111-1-1-111-1-111-1-1-1-11
χ17222222-12-1-12222-122-1-122-1-1-1-12-12-122220022-1-1-1-1-12-1-1-1-122-1-1-1-1000002222-1-1002200-1-1002200220000-1-1-10-12-1-10000-1-1-1-12000000-1-100-100
χ18222222-12-1-12222-122-1-122-1-1-1-12-12-1222200-2-2-1-1-1-1-12-1-1-1-122-1-1-1-1000002-222-1-10022001100-2-200-2-20000-1-1-101-2-1-100001111-20000001100100
χ19222222-12-1-12222-122-1-122-1-1-1-12-12-122-2-20022-1-1-1-1-12-1-1-1-122-1-1-1-100000-22-2-21100-2-200-1-1002200-2-200001110-12110000-1-1-1-1-20000001100100
χ20222222-12-1-12222-122-1-122-1-1-1-12-12-122-2-200-2-2-1-1-1-1-12-1-1-1-122-1-1-1-100000-2-2-2-21100-2-2001100-2-20022000011101-211000011112000000-1-100-100
χ21222222-12-1-12222-122-1-1-22-1-1-1-12-12-1-2-2220022-1-1-1-11-21111-2-2111100000-2-222-1-100-2-200-1-1002200220000-1-1101-2110000-1-111-2000000-1-100100
χ22222222-12-1-12222-122-1-1-22-1-1-1-12-12-1-2-22200-2-2-1-1-1-11-21111-2-2111100000-2222-1-100-2-2001100-2-200-2-20000-1-110-1211000011-1-120000001100-100
χ23222222-12-1-12222-122-1-1-22-1-1-1-12-12-1-2-2-2-20022-1-1-1-11-21111-2-21111000002-2-2-211002200-1-1002200-2-2000011-101-2-1-10000-1-11120000001100-100
χ24222222-12-1-12222-122-1-1-22-1-1-1-12-12-1-2-2-2-200-2-2-1-1-1-11-21111-2-211110000022-2-2110022001100-2-20022000011-10-12-1-1000011-1-1-2000000-1-100100
χ2522222-12-1222-1222-1-1-122-1-12-12-12-1-122002222-1-1-1-12-122-1-1-1-1-1-1-1-10000202000022002222-1-1-1-122000000000-12-100-1-1-1-1-1-1-1-1002-1-10000000-10
χ2622222-12-1222-1222-1-1-122-1-12-12-12-1-1220022-2-2-1-1-1-12-122-1-1-1-1-1-1-1-1000020-20000220022-2-2-1-111-2-2000000000-1-2100-1-1-1-1111100-211000000010
χ2722222-12-1222-1222-1-1-122-1-12-12-12-1-12200-2-222-1-1-1-12-122-1-1-1-1-1-1-1-10000-2020000-2-200-2-22211-1-1-2-200000000012-1001111-1-1-1-100-211000000010
χ2822222-12-1222-1222-1-1-122-1-12-12-12-1-12200-2-2-2-2-1-1-1-12-122-1-1-1-1-1-1-1-10000-20-20000-2-200-2-2-2-21111220000000001-210011111111002-1-10000000-10
χ2922222-12-1222-1222-1-1-12-2-1-12-12-12-1-1-2-2002222-1-1-1-1-21-2-2111111110000-20-20000-2-2002222-1-1-1-1220000000001-2100-1-111-1-11100-2-1-1000000010
χ3022222-12-1222-1222-1-1-12-2-1-12-12-12-1-1-2-20022-2-2-1-1-1-1-21-2-2111111110000-2020000-2-20022-2-2-1-111-2-200000000012-100-1-11111-1-1002110000000-10
χ3122222-12-1222-1222-1-1-12-2-1-12-12-12-1-1-2-200-2-222-1-1-1-1-21-2-211111111000020-200002200-2-22211-1-1-2-2000000000-1-210011-1-1-1-111002110000000-10
χ3222222-12-1222-1222-1-1-12-2-1-12-12-12-1-1-2-200-2-2-2-2-1-1-1-1-21-2-211111111000020200002200-2-2-2-2111122000000000-12-10011-1-111-1-100-2-1-1000000010
χ332222-122222-12-1-122-12-12-12-12-1-1-1-12-1-1222200-1-1-1-122-1-122-1-1-1-1-1-12222220-1-122-1-1-1-1-1-10022000000-1-1-1-1-1-12200-1-1-1-1-1-1000002000-1-10000000
χ342222-122222-12-1-122-12-12-12-12-1-1-1-12-1-122-2-200-1-1-1-122-1-122-1-1-1-1-1-1-2-2-2-2-220-1-12211-1-11100-2-20000001111-1-12-200-1-1111100000-2000110000000
χ352222-122222-12-1-122-12-12-12-12-1-1-1-12-1-1-2-22200-1-1-1-122-1-122-1-1-1-1-1-1-2-2-2-22-2011-2-2-1-111-1-10022000000111111-220011-1-1-1-100000-2000110000000
χ362222-122222-12-1-122-12-12-12-12-1-1-1-12-1-1-2-2-2-200-1-1-1-122-1-122-1-1-1-1-1-12222-2-2011-2-211111100-2-2000000-1-1-1-111-2-200111111000002000-1-10000000
χ372222-122222-12-1-122-12-1-2-12-12-1-1-1-1211222200-1-1-1-1-2-211-2-21111112222-2-20-1-1221111-1-10022000000-1-1-1-1-1-1-2-20011-1-11100000-2000110000000
χ382222-122222-12-1-122-12-1-2-12-12-1-1-1-121122-2-200-1-1-1-1-2-211-2-2111111-2-2-2-22-20-1-122-1-1111100-2-20000001111-1-1-22001111-1-1000002000-1-10000000
χ392222-122222-12-1-122-12-1-2-12-12-1-1-1-1211-2-22200-1-1-1-1-2-211-2-2111111-2-2-2-2-22011-2-211-1-1-1-100220000001111112-200-1-1-1-111000002000-1-10000000
χ402222-122222-12-1-122-12-1-2-12-12-1-1-1-1211-2-2-2-200-1-1-1-1-2-211-2-2111111222222011-2-2-1-1-1-11100-2-2000000-1-1-1-1112200-1-111-1-100000-2000110000000
χ4122-2-2222-22-222-2-2-2-22220-2-2-222-2-22-20000002i−2i2-2-220000000000002i2i−2i−2i00000000000002i−2i002i−2i00002i2i−2i−2i0000000000002i−2i000000000002-2000
χ4222-2-2222-22-222-2-2-2-22220-2-2-222-2-22-20000002i−2i2-2-22000000000000−2i−2i2i2i00000000000002i−2i002i−2i0000−2i−2i2i2i0000000000002i−2i00000000000-22000
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χ452-22-22222-22-2-22-2-2-2222022-2-2-2-22-2-20000000022-2-20000000000002i−2i2i−2i00000000000000000002-22i−2i2i−2i2i−2i00000000000000000002-2002i−2i00000
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χ472-22-22222-22-2-22-2-2-2222022-2-2-2-22-2-20000000022-2-2000000000000−2i2i−2i2i00000000000000000002-2−2i2i−2i2i−2i2i00000000000000000002-200−2i2i00000
χ482-22-22222-22-2-22-2-2-2222022-2-2-2-22-2-20000000022-2-2000000000000−2i2i−2i2i0000000000000000000-222i−2i−2i2i−2i2i0000000000000000000-22002i−2i00000
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χ532-2-22-122-2-2-21-21-122-12-101-2-1-21-11123−32-22-200-11-11003−3003−333−3−32-2-22000-112-23−33−3-11002-2000000-111-1-1100003−3-113−30000000003−30000000
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χ552-2-22-122-2-2-21-21-122-12-101-2-1-21-11123−3-222-200-11-11003−3003−333−3−3-222-20001-1-223−3−33-11002-20000001-1-111-10000−33-113−3000000000−330000000
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χ602-2-22-122-2-2-21-21-122-12-101-2-1-21-1112−33-22-2200-11-1100−3300−33−3−3332-2-220001-1-223−33−31-100-22000000-111-11-100003−31-13−3000000000−330000000
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χ994-4-44-2-242-4-4222-24-21-2-20-12-22212-1-2−2323004-4001-11-100−2323003−333−3−300000000000−232300-2200-220000000000000000001-13−3000000000000000000
χ1004-4-44-2-242-4-4222-24-21-2-20-12-22212-1-2−232300-44001-11-100−2323003−333−3−30000000000023−23002-2002-2000000000000000000-11−33000000000000000000
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
χ10388-8-8-48-4-8-44-48444-8-4-42044-2-424-2-44000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
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χ10588-8-8-4-4-44-44-4-444442220-2-2-222-2-22-200000000-111-100006-600-33-330000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-44-44-4-444442220-2-2-222-2-22-200000000-111-10000-66003-33-30000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-4-4-44-4-848-844-42-40-424-244-44-20000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-48-484-44-8-444-8-4-420-4-4-24-242440000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-48-4-8844-44-842-4-402-4444-2-4-240000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4-44-444-4444222022-2-2-2-22-2-200000000-1-1110000000033−33−33330000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4-44-444-4444222022-2-2-2-22-2-200000000-1-11100000000−333333−330000000000000000000000000000000000000000000000000000000000000
χ1128-8-888-4-4444-84-88-4-4-42-404-2-4-24-4442000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4444444-4-4-42220-2-22-2-22-2-2243−43000000-11-1100−232300−232333−3−30000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4444444-4-4-42220-2-22-2-22-2-22−4343000000-11-110023−230023−23−3−3330000000000000000000000000000000000000000000000000000000000000

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