Finite Group Databasebeta

← Group #13170479

Character table — Group #13170479

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order1222333666666666333466666666612121212121212124444121212123666121212121212121212444412121212121212121212121212121212121212121212441212121212121212121212124444412121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111111111111111111-1-1-11111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-111-1-1-1-11-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-11111111111111111111-11111111-1-1-1-1-1-1111111111111-1-1-1111-1-1-1-11111-1-1-111-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-11111111111111111111-11-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-111111-1-1-1-1-1-11111-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1111111-1-1-1-111-11-1-1-1-11111-1-1-1-111-111-1-111-11-1-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-11-1-11-1-1-1-1111-111-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-111111111-1-111-1-1-1-1-1-11111-1-1-11-1-1-1-11111-1-11-11-111111-1-1-1-111-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-11-1-1-111-1-111-1-11
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-111-1-111-11-1-1-111-1-111-11-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-11111-1-1-1-1111-11-111111-1-1-1-11-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-11111-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-111-1-1-11-1-11-1-1-1-1111-11-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-11111-1-1-1-1-1-11111111-11111-1-1-1-111-1-111-111-1-111-11-11-1
χ17222222-1222-1-12-1222-1-12-1-12-122-1-1-12222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-1202200-1-122-1-12200000000000000-122-1-1-1-1-1-1-1-1-102200-1-10000-10000
χ18222222-1222-1-12-1222-1-12-1-12-122-1-1-12222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-120-2-2001122-1-12200000000000000-1-2-21-1-1-1-111110-2-20011000010000
χ19222222-1222-1-12-1222-1-12-1-12-122-1-1-122222222-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-202200-1-1-2-211-2-200000000000000122-11111-1-1-1-10-2-20011000010000
χ20222222-1222-1-12-1222-1-12-1-12-122-1-1-122222222-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-20-2-20011-2-211-2-2000000000000001-2-211111111102200-1-10000-10000
χ21222222-1222-1-12-1222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-222000000-1-1-1-1111111111-202-200-1-122-1-1-2-20000000000000012-2111-1-1-1-1110-2200-1-1000010000
χ22222222-1222-1-12-1222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-222000000-1-1-1-1111111111-20-22001122-1-1-2-2000000000000001-22-111-1-111-1-102-200110000-10000
χ23222222-1222-1-12-1222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-2-2-2000000-1-1-1-1111111111202-200-1-1-2-2112200000000000000-12-21-1-111-1-11102-200110000-10000
χ24222222-1222-1-12-1222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-2-2-2000000-1-1-1-111111111120-220011-2-2112200000000000000-1-22-1-1-11111-1-10-2200-1-1000010000
χ2522222-122-1222-12-12-12-122-1-12-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-122002200-1-122-1-1-1-122-1-1-1-1-1-1-1-1222000-1-1-1-100002000000-1-1-1-100000
χ2622222-122-1222-12-12-12-122-1-12-1-1-1-1222-1-1-1-1-1-122-2-21111-1-1-1-1222-1-1-1-1-1-12-200-2-200-1-122-1-111-2-211111111-2-22000-1-1-1-10000-2000000111100000
χ2722222-122-1222-12-12-12-122-1-12-1-1-1-1222-1-1-1-1-1-1-2-222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-2200220011-2-211-1-122-1-1-1-1-1-1-1-1-2-2-200011110000-2000000111100000
χ2822222-122-1222-12-12-12-122-1-12-1-1-1-1222-1-1-1-1-1-1-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-2-200-2-20011-2-21111-2-21111111122-2000111100002000000-1-1-1-100000
χ2922222-122-1222-12-12-12-1-22-1-12-1-1-1-12-2-21111112222-1-1-1-1-1-1-1-1-2-2-2111111-2-200-2-200-1-122111122-1-1-1-1111122-200011-1-10000-200000011-1-100000
χ3022222-122-1222-12-12-12-1-22-1-12-1-1-1-12-2-211111122-2-21111-1-1-1-1-2-2-2111111-22002200-1-12211-1-1-2-21111-1-1-1-1-2-2-200011-1-100002000000-1-11100000
χ3122222-122-1222-12-12-12-1-22-1-12-1-1-1-12-2-2111111-2-222-1-1-1-1-1-1-1-1-2-2-21111112-200-2-20011-2-2-1-11122-1-1-1-11111-2-22000-1-11100002000000-1-11100000
χ3222222-122-1222-12-12-12-1-22-1-12-1-1-1-12-2-2111111-2-2-2-21111-1-1-1-1-2-2-21111112200220011-2-2-1-1-1-1-2-21111-1-1-1-1222000-1-1110000-200000011-1-100000
χ332222-122-12-122222-1-1-122-12-1-1-1-122-1-1-122-1-1-1-100222222-1-1-1-12-1-122-1-1-1-10222-1-12200000022-1-1-1-1-1-1-1-1-1-1000-1-120000-1-1-1-1000220000000-1-100
χ342222-122-12-122222-1-1-122-12-1-1-1-122-1-1-122-1-1-1-100222222-1-1-1-12-1-122-1-1-1-102-2-2-1-1-2-200000022-1-1-1-1-1-1-1-1-1-100011-200001111000-2-200000001100
χ352222-122-12-122222-1-1-122-12-1-1-1-122-1-1-122-1-1-1-100-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-10-2221122000000-2-21111111111000-1-120000-1-1-1-1000-2-200000001100
χ362222-122-12-122222-1-1-122-12-1-1-1-122-1-1-122-1-1-1-100-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-10-2-2-211-2-2000000-2-2111111111100011-200001111000220000000-1-100
χ372222-122-12-122222-1-1-12-2-12-1-1-1-122-111-2-2111100222222-1-1-1-1-211-2-211110-22-21122000000-2-2-1-1-1-1-1-11111000-11-20000-1-1110002-20000000-1100
χ382222-122-12-122222-1-1-12-2-12-1-1-1-122-111-2-2111100222222-1-1-1-1-211-2-211110-2-2211-2-2000000-2-2-1-1-1-1-1-111110001-12000011-1-1000-2200000001-100
χ392222-122-12-122222-1-1-12-2-12-1-1-1-122-111-2-2111100-2-2-2-2-2-2-1-1-1-1-211-2-21111022-2-1-12200000022111111-1-1-1-1000-11-20000-1-111000-2200000001-100
χ402222-122-12-122222-1-1-12-2-12-1-1-1-122-111-2-2111100-2-2-2-2-2-2-1-1-1-1-211-2-2111102-22-1-1-2-200000022111111-1-1-1-10001-12000011-1-10002-20000000-1100
χ412-2-22222-2-222-2-2-22-22220-2-2-2-22-22-22000000002i−2i2i−2i2i2i−2i−2i22-2-2000000000000000002i−2i2i−2i00002i−2i2i2i−2i−2i00002-20000002i−2i00000000000002-200000
χ422-2-22222-2-222-2-2-22-22220-2-2-2-22-22-22000000002i−2i−2i2i−2i−2i2i2i22-2-2000000000000000002i−2i2i−2i0000−2i2i−2i−2i2i2i0000-220000002i−2i0000000000000-2200000
χ432-2-22222-2-222-2-2-22-22220-2-2-2-22-22-2200000000−2i2i2i−2i2i2i−2i−2i22-2-200000000000000000−2i2i−2i2i00002i−2i2i2i−2i−2i0000-22000000−2i2i0000000000000-2200000
χ442-2-22222-2-222-2-2-22-22220-2-2-2-22-22-2200000000−2i2i−2i2i−2i−2i2i2i22-2-200000000000000000−2i2i−2i2i0000−2i2i−2i−2i2i2i00002-2000000−2i2i00000000000002-200000
χ452-2-222-12-2122-21-2-1-2-12-10-211-2-11-112003−333−3−32i−2i2i−2i−i−iii-1-1110003−333−3−300000000−ii2i−2i−i3i3−i3i32i−2i−i−iii−i3−i3i3i32-20000−i3i3−ii000000000003−3-1100000
χ462-2-222-12-2122-21-2-1-2-12-10-211-2-11-112003−333−3−32i−2i−2i2iii−i−i-1-1110003−333−3−300000000−ii2i−2i−i3i3i3−i3−2i2iii−i−ii3i3−i3−i3-220000−i3i3−ii00000000000−331-100000
χ472-2-222-12-2122-21-2-1-2-12-10-211-2-11-112003−333−3−3−2i2i2i−2i−i−iii-1-1110003−333−3−300000000i−i−2i2ii3−i3−i3i32i−2i−i−iii−i3−i3i3i3-220000i3−i3i−i00000000000−331-100000
χ482-2-222-12-2122-21-2-1-2-12-10-211-2-11-112003−333−3−3−2i2i−2i2iii−i−i-1-1110003−333−3−300000000i−i−2i2ii3−i3i3−i3−2i2iii−i−ii3i3−i3−i32-20000i3−i3i−i000000000003−3-1100000
χ492-2-222-12-2122-21-2-1-2-12-10-211-2-11-11200−33−3−3332i−2i2i−2i−i−iii-1-111000−33−3−33300000000−ii2i−2ii3−i3i3−i32i−2i−i−iiii3i3−i3−i32-20000i3−i3−ii00000000000−33-1100000
χ502-2-222-12-2122-21-2-1-2-12-10-211-2-11-11200−33−3−3332i−2i−2i2iii−i−i-1-111000−33−3−33300000000−ii2i−2ii3−i3−i3i3−2i2iii−i−i−i3−i3i3i3-220000i3−i3−ii000000000003−31-100000
χ512-2-222-12-2122-21-2-1-2-12-10-211-2-11-11200−33−3−333−2i2i2i−2i−i−iii-1-111000−33−3−33300000000i−i−2i2i−i3i3i3−i32i−2i−i−iiii3i3−i3−i3-220000−i3i3i−i000000000003−31-100000
χ522-2-222-12-2122-21-2-1-2-12-10-211-2-11-11200−33−3−333−2i2i−2i2iii−i−i-1-111000−33−3−33300000000i−i−2i2i−i3i3−i3i3−2i2iii−i−i−i3−i3i3i32-20000−i3i3i−i00000000000−33-1100000
χ5344444-2-24-24-2-2-2-2-24-2-214-21-2-2-2-211-244-2-2-2-2-2-2440000001111-2-2-211111140000000-2-2-2-2-2-200000000000000-2000111100000000000000000000
χ5444444-2-24-24-2-2-2-2-24-2-214-21-2-2-2-211-244-2-2-2-2-2-2-4-40000001111-2-2-2111111-40000000222222000000000000002000-1-1-1-100000000000000000000
χ5544444-2-24-24-2-2-2-2-24-2-21-4-21-2-2-2-211-2-4-4222222440000001111222-1-1-1-1-1-1-40000000-2-2-2-222000000000000002000-1-11100000000000000000000
χ5644444-2-24-24-2-2-2-2-24-2-21-4-21-2-2-2-211-2-4-4222222-4-40000001111222-1-1-1-1-1-1400000002222-2-200000000000000-200011-1-100000000000000000000
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χ7244-4-4-24-2-2-42224-2-42-21-20-12-21222-2-1−2i32i300−2i32i3−2i32i3000000001-1-110i3−i300i3−i3i3−i300000023−230000000000000000000000000000−333i−3i0000000000000000
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χ7444-4-4-24-2-2-42224-2-42-21-20-12-21222-2-12i3−2i3002i3−2i32i3−2i3000000001-1-110−i3i300−i3i3−i3i300000023−230000000000000000000000000000−33−3i3i0000000000000000
χ7544-4-4-24-2-2-42224-2-42-21-20-12-21222-2-12i3−2i3002i3−2i32i3−2i3000000001-1-110−i3i300−i3i3−i3i3000000−232300000000000000000000000000003−33i−3i0000000000000000
χ7644-4-4-2-24-222-4-4-24221-2-20221-2-1-12-22−2i32i300i3−i3i3−i3000023−2323−231-1-110−2i32i300i3−i3i3−i3000000000000000000−33−333i−3i3i−3i000000000000000000000000000000
χ7744-4-4-2-24-222-4-4-24221-2-20221-2-1-12-22−2i32i300i3−i3i3−i30000−2323−23231-1-110−2i32i300i3−i3i3−i30000000000000000003−33−3−3i3i−3i3i000000000000000000000000000000
χ7844-4-4-2-24-222-4-4-24221-2-20221-2-1-12-222i3−2i300−i3i3−i3i3000023−2323−231-1-1102i3−2i300−i3i3−i3i3000000000000000000−33−33−3i3i−3i3i000000000000000000000000000000
χ7944-4-4-2-24-222-4-4-24221-2-20221-2-1-12-222i3−2i300−i3i3−i3i30000−2323−23231-1-1102i3−2i300−i3i3−i3i30000000000000000003−33−33i−3i3i−3i000000000000000000000000000000
χ804-44-4444-44-4-44-4-4-44444044-4-4-44-4-4-400000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000
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χ844-44-44-24-4-2-4-442-424-24-204-22-42-222-40000000000002i3−2i3−2i32i3-22-220000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000000000
χ854-44-4-244242-44-4-4-4-2-2-240-24222-2-4-420000000000000000-22-22000000000000023−23000000000000000023−23−2323000000000000000000000000000000
χ864-44-4-244242-44-4-4-4-2-2-240-24222-2-4-420000000000000000-22-220000000000000−23230000000000000000−232323−23000000000000000000000000000000
χ874-44-4-2-242-22-442-42-21-2-20-2-2-12-1122200003i−3i−3i3i0000−2i32i32i3−2i31-11-1000003i−3i−3i3i0000−2323000000000000i3−i3−i3i33−3−33000000000000000000000000000000
χ884-44-4-2-242-22-442-42-21-2-20-2-2-12-1122200003i−3i−3i3i00002i3−2i3−2i32i31-11-1000003i−3i−3i3i000023−23000000000000−i3i3i3−i3−333−3000000000000000000000000000000
χ894-44-4-2-242-22-442-42-21-2-20-2-2-12-112220000−3i3i3i−3i0000−2i32i32i3−2i31-11-100000−3i3i3i−3i000023−23000000000000i3−i3−i3i3−333−3000000000000000000000000000000
χ904-44-4-2-242-22-442-42-21-2-20-2-2-12-112220000−3i3i3i−3i00002i3−2i3−2i32i31-11-100000−3i3i3i−3i0000−2323000000000000−i3i3i3−i33−3−33000000000000000000000000000000
χ914-4-4444-2-4-44-22-424-44-2-2022-424-4-22-2000000004i−4i000000-2-222000000000000000004i−4i−2i2i0000000000000000000000−2i2i00000000000000000000
χ924-4-4444-2-4-44-22-424-44-2-2022-424-4-22-200000000−4i4i000000-2-22200000000000000000−4i4i2i−2i00000000000000000000002i−2i00000000000000000000
χ934-4-444-2-2-424-2222-2-4-2-2102-122-221-1-20023−232323−23−234i−4i00000011-1-1000−33−3−33300000000−2i2i−2i2i−2i32i3000000000000000000i3−i3i−i00000000000000000000
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χ954-4-444-2-2-424-2222-2-4-2-2102-122-221-1-200−2323−23−2323234i−4i00000011-1-10003−333−3−300000000−2i2i−2i2i2i3−2i3000000000000000000−i3i3i−i00000000000000000000
χ964-4-444-2-2-424-2222-2-4-2-2102-122-221-1-200−2323−23−232323−4i4i00000011-1-10003−333−3−3000000002i−2i2i−2i−2i32i3000000000000000000i3−i3−ii00000000000000000000
χ974-4-44-2442-4-24-4-4-442-2-2402-422-224-4-200000000004i−4i4i4i−4i−4i-2-2220000000000000000000000000−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ984-4-44-2442-4-24-4-4-442-2-2402-422-224-4-20000000000−4i4i−4i−4i4i4i-2-22200000000000000000000000002i−2i2i2i−2i−2i0000000000000000000000000000000000
χ994-4-44-2-2422-24-42-4-221-2-2022-121-1-22-20023−23−3−333004i−4i−2i−2i2i2i11-1-100023−23−3−33300000000000000−2i32i3−2i2iii−i−ii3i3−i3−i3000000000000000000000000000000
χ1004-4-44-2-2422-24-42-4-221-2-2022-121-1-22-20023−23−3−33300−4i4i2i2i−2i−2i11-1-100023−23−3−333000000000000002i3−2i32i−2i−i−iii−i3−i3i3i3000000000000000000000000000000
χ1014-4-44-2-2422-24-42-4-221-2-2022-121-1-22-200−232333−3−3004i−4i−2i−2i2i2i11-1-1000−232333−3−3000000000000002i3−2i3−2i2iii−i−i−i3−i3i3i3000000000000000000000000000000
χ1024-4-44-2-2422-24-42-4-221-2-2022-121-1-22-200−232333−3−300−4i4i2i2i−2i−2i11-1-1000−232333−3−300000000000000−2i32i32i−2i−i−iiii3i3−i3−i3000000000000000000000000000000
χ1038888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-4222200000000-1-1-1-1-42222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ1048888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-200000000-1-1-1-14-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ10588-8-88-4-484-844-4-44-8-4-4204-2-4-444-22400000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-4-44444-4-4442220-2-222-2-2-22-2−4i34i3002i3−2i32i3−2i300000000-111-102i3−2i300−i3i3−i3i300000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-4-44444-4-4442220-2-222-2-2-22-24i3−4i300−2i32i3−2i32i300000000-111-10−2i32i300i3−i3i3−i300000000000000000000000000000000000000000000000000000000
χ1088-88-88-4-4-8-4-84-44448-4-420-42444-4-2-2400000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-48-44844-4-84-8-4-42-402-44-24-444-200000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-44-444-4444-4222022-2-2-22-2-2-200006i−6i−6i6i00000000-11-1100000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-44-444-4444-4222022-2-2-22-2-2-20000−6i6i6i−6i00000000-11-11000003i−3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1128-8-88-48-44-8-4-44-8484-42-40-244-2-44-442000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-444-4-4444-442220-2-2-2-22-22-220043−43−23−23232300000000-1-111000−232333−3−300000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-444-4-4444-442220-2-2-2-22-22-2200−43432323−23−2300000000-1-11100023−23−3−33300000000000000000000000000000000000000000000000000000000

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