Finite Group Databasebeta

← Group #13167964

Character table — Group #13167964

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order1222333666666666333466666666612124444443666121212121212121212121212222244412121212121212121212121212121212444466661212121212121212121212121212121222412121212121244664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111111111-111111111-1-1-1-11111-1-1-1-11111-1-11111111111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1-1-1-11-1111-1-111-1-1111111-1-111-1-1-1-1-1-1111-111-1-111-1-111111-1-111-1-1-1-1-1-11-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11-1-111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-11-1-1-111-1-111-111
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-1-111-1-111-1-1111111-1-111-1-111-1-1-1-111-11-1-111-1-1111111-11-1-1-111-1-1-1-1-11-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11-1-111-1-1-1-1111-11
χ71111111111111111111111111111111-1-1-1-11111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-11111-1-11
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
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-111-1-1-1
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1111
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-1-11111-1-111-1-1-111
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-11-1-11111-1-1-1-1111-11-1-11111111-1-1
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-11111-1-111-1-111-1-1-1-1-1-11-111-1-1-1-11111-1-11-11-1-11111-1-11-11
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-111-1-1-1-111-1-111-11111-1-11111-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-11111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-11
χ17222222-122-122-12-122-1-122-1-1-12-12-1-122002222-1-1-1-12-1-1-122-1-1-1-1-1-1000002200-1-1002222-1-10022002200002-10-100-1-100-1-1-1-1-1-102000-1-100000-10
χ18222222-122-122-12-122-1-122-1-1-12-12-1-1220022-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1000002-200-1-10022-2-211002200-2-20000-210-100-1-100-1-111110-2000110000010
χ19222222-122-122-12-122-1-122-1-1-12-12-1-12200-2-222-1-1-1-12-1-1-122-1-1-1-1-1-100000-22001100-2-222-1-100-2-200-2-200002-10100110011-1-1-1-10-2000110000010
χ20222222-122-122-12-122-1-122-1-1-12-12-1-12200-2-2-2-2-1-1-1-12-1-1-122-1-1-1-1-1-100000-2-2001100-2-2-2-21100-2-200220000-210100110011111102000-1-100000-10
χ21222222-122-122-12-122-1-1-22-1-1-12-12-1-1-2-2002222-1-1-1-1-2111-2-211111100000-2-200-1-100-2-222-1-1002200220000-2101001100-1-1-1-1110-2000-1-10000010
χ22222222-122-122-12-122-1-1-22-1-1-12-12-1-1-2-20022-2-2-1-1-1-1-2111-2-211111100000-2200-1-100-2-2-2-211002200-2-200002-101001100-1-111-1-1020001100000-10
χ23222222-122-122-12-122-1-1-22-1-1-12-12-1-1-2-200-2-222-1-1-1-1-2111-2-2111111000002-20011002222-1-100-2-200-2-20000-210-100-1-10011-1-111020001100000-10
χ24222222-122-122-12-122-1-1-22-1-1-12-12-1-1-2-200-2-2-2-2-1-1-1-1-2111-2-2111111000002200110022-2-21100-2-2002200002-10-100-1-1001111-1-10-2000-1-10000010
χ2522222-122-122-12-122-12-12-12-1-1-12-12-122220022-1-1-1-1-12-1-1-1-122-1-1-1-10000202-1-1002200-1-122220022000000-12-10-1-100-1-100-1-1-1-1200-1-1000000-100
χ2622222-122-122-12-122-12-12-12-1-1-12-12-1222200-2-2-1-1-1-1-12-1-1-1-122-1-1-1-1000020-2-1-100220011-2-22200-2-20000001-2-10-1-100-1-1001111-20011000000100
χ2722222-122-122-12-122-12-12-12-1-1-12-12-122-2-20022-1-1-1-1-12-1-1-1-122-1-1-1-10000-2021100-2-200-1-122-2-200-2-2000000-121011001100-1-1-1-1-20011000000100
χ2822222-122-122-12-122-12-12-12-1-1-12-12-122-2-200-2-2-1-1-1-1-12-1-1-1-122-1-1-1-10000-20-21100-2-20011-2-2-2-200220000001-210110011001111200-1-1000000-100
χ2922222-122-122-12-122-12-1-2-12-1-1-12-12-1-2-2220022-1-1-1-11-21111-2-211110000-20-2-1-100-2-200-1-1222200220000001-2101100-1-100-1-111-200-1-1000000100
χ3022222-122-122-12-122-12-1-2-12-1-1-12-12-1-2-22200-2-2-1-1-1-11-21111-2-211110000-202-1-100-2-20011-2-22200-2-2000000-12101100-1-10011-1-120011000000-100
χ3122222-122-122-12-122-12-1-2-12-1-1-12-12-1-2-2-2-20022-1-1-1-11-21111-2-21111000020-211002200-1-122-2-200-2-20000001-2-10-1-1001100-1-11120011000000-100
χ3222222-122-122-12-122-12-1-2-12-1-1-12-12-1-2-2-2-200-2-2-1-1-1-11-21111-2-2111100002021100220011-2-2-2-20022000000-12-10-1-100110011-1-1-200-1-1000000100
χ332222-122-122-12222-1-1-122-1-122-1-1-1-12-1-1222200-1-1-1-12222-1-1-1-1-1-1-1-122222202222-1-1-1-10000-1-1-1-10000-1-1-1-10022-1-1-1-1-1-1-1-100000020000-1-100000
χ342222-122-122-12222-1-1-122-1-122-1-1-1-12-1-122-2-200-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-22-2022-2-2-1-1110000-1-11100001111002-2-1-111-1-111000000-200001100000
χ352222-122-122-12222-1-1-122-1-122-1-1-1-12-1-1-2-22200-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-220-2-22211-1-1000011-1-10000111100-2211-1-111-1-1000000-200001100000
χ362222-122-122-12222-1-1-122-1-122-1-1-1-12-1-1-2-2-2-200-1-1-1-12222-1-1-1-1-1-1-1-12222-2-20-2-2-2-21111000011110000-1-1-1-100-2-21111111100000020000-1-100000
χ372222-122-122-12222-1-1-12-2-1-122-1-1-1-1211222200-1-1-1-1-2-2-2-2111111112222-2-20222211110000-1-1-1-10000-1-1-1-100-2-21111-1-1-1-1000000-200001100000
χ382222-122-122-12222-1-1-12-2-1-122-1-1-1-121122-2-200-1-1-1-1-2-2-2-211111111-2-2-2-2-22022-2-211-1-10000-1-1110000111100-2211-1-1-1-11100000020000-1-100000
χ392222-122-122-12222-1-1-12-2-1-122-1-1-1-1211-2-22200-1-1-1-1-2-2-2-211111111-2-2-2-22-20-2-222-1-111000011-1-100001111002-2-1-11111-1-100000020000-1-100000
χ402222-122-122-12222-1-1-12-2-1-122-1-1-1-1211-2-2-2-200-1-1-1-1-2-2-2-2111111112222220-2-2-2-2-1-1-1-1000011110000-1-1-1-10022-1-1-1-11111000000-200001100000
χ4122-2-2222-222-2-2-2-2-222220-2-2-22-2-222-20000002i−2i2-2-2200000000000022-2-2000000000002i−2i2i−2i0000000022-2-20000000000002i−2i000000000002i−2i000
χ4222-2-2222-222-2-2-2-2-222220-2-2-22-2-222-20000002i−2i2-2-22000000000000-2-222000000000002i−2i2i−2i00000000-2-2220000000000002i−2i00000000000−2i2i000
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χ452-22-2222-2-2-22-2-222-22220-2-22-222-2-2-2002i−2i2i−2i0022-2-20000000000002-22-20002i−2i2i−2i000000002i−2i2i−2i00002-22-2000000002i−2i2i−2i000000000000000000
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χ472-22-2222-2-2-22-2-222-22220-2-22-222-2-2-200−2i2i2i−2i0022-2-2000000000000-22-22000−2i2i2i−2i00000000−2i2i2i−2i0000-22-2200000000−2i2i2i−2i000000000000000000
χ482-22-2222-2-2-22-2-222-22220-2-22-222-2-2-200−2i2i−2i2i0022-2-20000000000002-22-2000−2i2i−2i2i00000000−2i2i−2i2i00002-22-200000000−2i2i−2i2i000000000000000000
χ492-22-2-1221-2-2-1-2-2221-1-120112-2-1-111-23−32i−2i2i−2i00-1-11100003−33−333−3−32-22-20002i−2i2i−2i−i3i3−i3i30000−ii−ii0000-11-110000−i3i3−i3i3−ii−ii000000000003−300000
χ502-22-2-1221-2-2-1-2-2221-1-120112-2-1-111-23−32i−2i−2i2i00-1-11100003−33−333−3−3-22-220002i−2i−2i2i−i3i3i3−i30000−iii−i00001-11-10000−i3i3i3−i3−iii−i00000000000−3300000
χ512-22-2-1221-2-2-1-2-2221-1-120112-2-1-111-23−3−2i2i2i−2i00-1-11100003−33−333−3−3-22-22000−2i2i2i−2ii3−i3−i3i30000i−i−ii00001-11-10000i3−i3−i3i3i−i−ii00000000000−3300000
χ522-22-2-1221-2-2-1-2-2221-1-120112-2-1-111-23−3−2i2i−2i2i00-1-11100003−33−333−3−32-22-2000−2i2i−2i2ii3−i3i3−i30000i−ii−i0000-11-110000i3−i3i3−i3i−ii−i000000000003−300000
χ532-22-2-1221-2-2-1-2-2221-1-120112-2-1-111-2−332i−2i2i−2i00-1-1110000−33−33−3−3332-22-20002i−2i2i−2ii3−i3i3−i30000−ii−ii0000-11-110000i3−i3i3−i3−ii−ii00000000000−3300000
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χ572-2-222222-2-2-222-2-2-2222022-2-2-2-2-2-22000000002-22-20000000000002-2-2200000000000000000002i−2i2i−2i2-2-2200000000000000000002i−2i2i−2i0000000
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χ854-44-44-24-42-442-4-24-4-24-202-4-22-242-42004i−4i0000-2-2220000000000000000000−2i2i00000000004i−4i000000000000000000−2i2i00000000000000000000
χ864-44-44-24-42-442-4-24-4-24-202-4-22-242-4200−4i4i0000-2-22200000000000000000002i−2i0000000000−4i4i0000000000000000002i−2i00000000000000000000
χ874-44-4-24-22-42-2-424-22-21-202-1-22-212-1223−23004i−4i0011-1-1000023−23−33−3−333000000000−2i2i00−2i32i3000000−2i2i00000000000000i3−i300i−i000000000000000000
χ884-44-4-24-22-42-2-424-22-21-202-1-22-212-1223−2300−4i4i0011-1-1000023−23−33−3−3330000000002i−2i002i3−2i30000002i−2i00000000000000−i3i300−ii000000000000000000
χ894-44-4-24-22-42-2-424-22-21-202-1-22-212-12−2323004i−4i0011-1-10000−23233−333−3−3000000000−2i2i002i3−2i3000000−2i2i00000000000000−i3i300i−i000000000000000000
χ904-44-4-24-22-42-2-424-22-21-202-1-22-212-12−232300−4i4i0011-1-10000−23233−333−3−30000000002i−2i00−2i32i30000002i−2i00000000000000i3−i300−ii000000000000000000
χ914-44-4-2-2422-4-22-4-2421-2-20-12-221-2-12223−234i−4i000011-1-10000−3323−23−3−3330000000−2i2i00−2i32i3000000−2i2i00000000000000i3−i300i−i00000000000000000000
χ924-44-4-2-2422-4-22-4-2421-2-20-12-221-2-12223−23−4i4i000011-1-10000−3323−23−3−33300000002i−2i002i3−2i30000002i−2i00000000000000−i3i300−ii00000000000000000000
χ934-44-4-2-2422-4-22-4-2421-2-20-12-221-2-122−23234i−4i000011-1-100003−3−232333−3−30000000−2i2i002i3−2i3000000−2i2i00000000000000−i3i300i−i00000000000000000000
χ944-44-4-2-2422-4-22-4-2421-2-20-12-221-2-122−2323−4i4i000011-1-100003−3−232333−3−300000002i−2i00−2i32i30000002i−2i00000000000000i3−i300−ii00000000000000000000
χ954-4-4444-24-42-44-2-42-44-2-204-222-42-42-200000000-22-2200000000000000000000000000000000000004i−4i0000000000000000000000000−2i2i0000000
χ964-4-4444-24-42-44-2-42-44-2-204-222-42-42-200000000-22-220000000000000000000000000000000000000−4i4i00000000000000000000000002i−2i0000000
χ974-4-444-2442-4-4-242-4-4-24-20-24222-42-4-200000000-22-22000000000000000000000000000000000004i−4i0000000000000000000000000−2i2i000000000
χ984-4-444-2442-4-4-242-4-4-24-20-24222-42-4-200000000-22-2200000000000000000000000000000000000−4i4i00000000000000000000000002i−2i000000000
χ994-4-44-244-2-4-4244-4-42-2-240-2-2-4-42222400000000-22-220000000000004-4-4400000000000000000000000-222-2000000000000000000000000000000
χ1004-4-44-244-2-4-4244-4-42-2-240-2-2-4-42222400000000-22-22000000000000-444-4000000000000000000000002-2-22000000000000000000000000000000
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
χ10388-8-8-48-448-44-84-84-4-42-404-24-44-2-424000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-484-4844-84-8-42-4-40-244-4-242-44000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-44-4-444444-42220-2-2-22-2-222-200000000-111-1006-60000-33-330000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-44-4-444444-42220-2-2-22-2-222-200000000-111-100-6600003-33-30000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-4-4-844844-4-4-8-4-420442-2-4-444-20000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-4444-444-4-442220-2-22-222-2-2-243−43000000-1-1110000−2323−232333−3−30000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-4444-444-4-442220-2-22-222-2-2-2−4343000000-1-111000023−2323−23−3−3330000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-4-4844-8-4-444-8-4-420-4-4-2-244442000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-4-4-8448-4-844-42-40-42444-24-2-4000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-48-44-84-484-842-4-402-444-24-24-4000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4-4444-4-4444222022-2-2-2-2-2-2200000000-11-110000000033−33−33330000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4-4444-4-4444222022-2-2-2-2-2-2200000000-11-1100000000−333333−330000000000000000000000000000000000000000000000000000000000000

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