Finite Group Databasebeta

← Group #13172045

Character table — Group #13172045

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666623336666666666666666622444412121212366666666666644466661212121212121212121212121212121212124444661212121212121212121222441212121212124466124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-1111111-1-11111111111111111-1-111-1-11-111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-111-1-1-1-1-11-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1-1-1-11-11-1-1-1-1-1-1111-111
χ51111111111111111111111111111111111111-1-11111111111111111111111-11-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-11-1-11111-11-11-1-1-1-1-1-1-1-11-11-1
χ61111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-111-11-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11-1-11111-1-11-111-1-11111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111-1111-1-1-1-1111-1-1-1-11111111111-1-111111-1-1-1-1-1111-1-1-1-11-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-111-1-1111111-1-11-1
χ101111111111111111-1111-1-1-1-1111-1-1-1-11111111111-1-111111-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-11-11-1-1-1-111111-1-1-1-1-111-1-111-11
χ111111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-11111-1-111-1-11111-1-1-1-111111111111-1-1-1-1-111-1-1-11-1-11111-1-1-1-11-1-11
χ121111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1111111-1-111-11-11-1-1-1-1111-1-1111-1-1-1-111-111-1
χ131111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111-1-111111-1-1-1-1-1111-1-1-1-111-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-11-11-11111-1-11-1-1111-1-1-1-1-1-1-1111
χ141111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111-1-111111-1-1-1-1-1111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-111111-1-111-11-1-11111-1-1111-1-1-1
χ151111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-11-11-11111-1-1111-1-1-1-1-1111111-1-1
χ161111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-111111-1-111-1-111-1-11111-1-1-1-111
χ17222222-1-1222-12-12222-1-1222222-12222-1-1-1-1-122200000000-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-122-1-1000000000000000022-1-122-1-1-1-1-1-1-1-1200000-1-100000-100
χ18222222-1-1222-12-12222-1-1222222-12222-1-1-1-1-122200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-222-1-122110000000000000000-2-2-1-1-2-2-11-1-11111-2000001100000100
χ19222222-1-1222-12-12222-1-1222222-12222-1-1-1-1-12-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-22-2-211-2-2-1-10000000000000000-2-211221-111-1-1-1-1-2000001100000100
χ20222222-1-1222-12-12222-1-1222222-12222-1-1-1-1-12-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211-2-21100000000000000002211-2-211111111200000-1-100000-100
χ21222222-1-1222-12-122-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-122200000000-111111-1-1-111112-2-222-1-1-2-2-1-1000000000000000022-1-12-21111-1-111-200000-1-100000100
χ22222222-1-1222-12-122-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-122200000000-111111-1-1-11111-2-2222-1-1-2-2110000000000000000-2-2-1-1-221-11111-1-12000001100000-100
χ23222222-1-1222-12-122-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-12-2-200000000-111111-1-1-1111122-2-2-21122-1-10000000000000000-2-2112-2-11-1-1-1-1112000001100000-100
χ24222222-1-1222-12-122-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-12-2-200000000-111111-1-1-11111-222-2-211221100000000000000002211-22-1-1-1-111-1-1-200000-1-100000100
χ2522222-1222-1-12222-12-1-1222-1-1-1-1-1-1-1-1-122-1-12-10022222222-12-1-122-1-1-1-1-1-1-120200000022-1-122-1-1-1-1-1-1-1-1-1-1000000-1-10200-1-1-1-1020200000000-10-10
χ2622222-1222-1-12222-12-1-1222-1-1-1-1-1-1-1-1-122-1-12-10022222222-12-1-122-1-1-1-1-1-1-1-20-2000000-2-2-1-122-1-1-1-1-1-1-1-1-1-1000000110-20011110-20-2000000001010
χ2722222-1222-1-12222-12-1-1222-1-1-1-1-1-1-1-1-122-1-12-100-2-2-2-2-2-2-2-2-12-1-122-1-1-1-1-1-1-12020000002211-2-21111111111000000-1-10200-1-1-1-10-20-2000000001010
χ2822222-1222-1-12222-12-1-1222-1-1-1-1-1-1-1-1-122-1-12-100-2-2-2-2-2-2-2-2-12-1-122-1-1-1-1-1-1-1-20-2000000-2-211-2-21111111111000000110-2001111020200000000-10-10
χ2922222-1222-1-12222-1-2-1-12-2-211-1-1-1111122-1-12-10022-2-22222-1-211-2-2-1-1-1111120-200000022-1-1-2-211-1-1-1-11111000000-110-200-1-1110-2020000000010-10
χ3022222-1222-1-12222-1-2-1-12-2-211-1-1-1111122-1-12-10022-2-22222-1-211-2-2-1-1-11111-202000000-2-2-1-1-2-211-1-1-1-111110000001-1020011-1-1020-200000000-1010
χ3122222-1222-1-12222-1-2-1-12-2-211-1-1-1111122-1-12-100-2-222-2-2-2-2-1-211-2-2-1-1-1111120-2000000221122-1-11111-1-1-1-1000000-110-200-1-111020-200000000-1010
χ3222222-1222-1-12222-1-2-1-12-2-211-1-1-1111122-1-12-100-2-222-2-2-2-2-1-211-2-2-1-1-11111-202000000-2-21122-1-11111-1-1-1-10000001-1020011-1-10-2020000000010-10
χ332222-1222-1222-12-122-12-1-1-122-1-12-1-1-1-1-1-122-1-1222222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1020-1-122-1-10022-1-122-1-1-1-1-1-1-1-12200-1-10020-1-100000020-1-100-1-1000000
χ342222-1222-1222-12-122-12-1-1-122-1-12-1-1-1-1-1-122-1-122-2-2-2-21111-1222-1-1-1-1-1-1-1-1-1020-1-122-1-100-2-211-2-211111111-2-200-1-10020-1-1000000-20110011000000
χ352222-1222-1222-12-122-12-1-1-122-1-12-1-1-1-1-1-122-1-1-2-22222-1-1-1-1-1222-1-1-1-1-1-1-1-1-10-2011-2-2110022-1-122-1-1-1-1-1-1-1-1-2-2001100-2011000000-20110011000000
χ362222-1222-1222-12-122-12-1-1-122-1-12-1-1-1-1-1-122-1-1-2-2-2-2-2-21111-1222-1-1-1-1-1-1-1-1-10-2011-2-21100-2-211-2-21111111122001100-201100000020-1-100-1-1000000
χ372222-1222-1222-12-12-2-12-111-2-2-1-121111-1-122-1-12222-2-2-1-1-1-1-1-2-2-211-1-1-111110-20-1-12211002211-2-2-1-1-1-11111-2-200-1-100-2011000000201100-1-1000000
χ382222-1222-1222-12-12-2-12-111-2-2-1-121111-1-122-1-122-2-2221111-1-2-2-211-1-1-111110-20-1-1221100-2-2-1-1221111-1-1-1-12200-1-100-2011000000-20-1-10011000000
χ392222-1222-1222-12-12-2-12-111-2-2-1-121111-1-122-1-1-2-222-2-2-1-1-1-1-1-2-2-211-1-1-1111102011-2-2-1-1002211-2-2-1-1-1-111112200110020-1-1000000-20-1-10011000000
χ402222-1222-1222-12-12-2-12-111-2-2-1-121111-1-122-1-1-2-2-2-2221111-1-2-2-211-1-1-1111102011-2-2-1-100-2-2-1-1221111-1-1-1-1-2-200110020-1-1000000201100-1-1000000
χ4122-2-2222-2-22-2-222-2-2022200002-2-200002-22-2-2-2002i−2i002i2i−2i−2i2000002-2-20000000000000002i−2i00002i2i−2i−2i0000002-20000000000000000002-2002i−2i0000
χ4222-2-2222-2-22-2-222-2-2022200002-2-200002-22-2-2-2002i−2i002i2i−2i−2i2000002-2-20000000000000002i−2i00002i2i−2i−2i000000-22000000000000000000-2200−2i2i0000
χ4322-2-2222-2-22-2-222-2-2022200002-2-200002-22-2-2-200−2i2i00−2i−2i2i2i2000002-2-2000000000000000−2i2i0000−2i−2i2i2i0000002-20000000000000000002-200−2i2i0000
χ4422-2-2222-2-22-2-222-2-2022200002-2-200002-22-2-2-200−2i2i00−2i−2i2i2i2000002-2-2000000000000000−2i2i0000−2i−2i2i2i000000-22000000000000000000-22002i−2i0000
χ452-22-2222-22-222-2-2-2-202220000-22-20000-2-2-222-22-2002i−2i0000200000-22-200000002-22-20000002i−2i2i−2i00002i2i−2i−2i2i−2i002-2000000000000002i−2i0000000000
χ462-22-2222-22-222-2-2-2-202220000-22-20000-2-2-222-22-200−2i2i0000200000-22-200000002-22-2000000−2i2i−2i2i0000−2i−2i2i2i−2i2i002-200000000000000−2i2i0000000000
χ472-22-2222-22-222-2-2-2-202220000-22-20000-2-2-222-2-22002i−2i0000200000-22-20000000-22-220000002i−2i2i−2i00002i2i−2i−2i−2i2i00-2200000000000000−2i2i0000000000
χ482-22-2222-22-222-2-2-2-202220000-22-20000-2-2-222-2-2200−2i2i0000200000-22-20000000-22-22000000−2i2i−2i2i0000−2i−2i2i2i2i−2i00-22000000000000002i−2i0000000000
χ492-22-2-122-2-1-2221-21-20-12-1−i3i3001-1-2−i3−i3i3i311-22-112-2002i−2i3−33−3-1000−i3i31-11−i3−i3i3i3000-112-2−i3i30000−ii2i−2i3−33−3−i−iii2i−2i00-110000−i3i300000000−ii003−3000000
χ502-22-2-122-2-1-2221-21-20-12-1−i3i3001-1-2−i3−i3i3i311-22-112-200−2i2i−33−33-1000−i3i31-11−i3−i3i3i3000-112-2−i3i30000i−i−2i2i−33−33ii−i−i−2i2i00-110000−i3i300000000i−i00−33000000
χ512-22-2-122-2-1-2221-21-20-12-1−i3i3001-1-2−i3−i3i3i311-22-11-22002i−2i3−33−3-1000−i3i31-11−i3−i3i3i30001-1-22i3−i30000−ii2i−2i3−33−3−i−iii−2i2i001-10000i3−i300000000i−i00−33000000
χ522-22-2-122-2-1-2221-21-20-12-1−i3i3001-1-2−i3−i3i3i311-22-11-2200−2i2i−33−33-1000−i3i31-11−i3−i3i3i30001-1-22i3−i30000i−i−2i2i−33−33ii−i−i2i−2i001-10000i3−i300000000−ii003−3000000
χ532-22-2-122-2-1-2221-21-20-12-1i3−i3001-1-2i3i3−i3−i311-22-112-2002i−2i−33−33-1000i3−i31-11i3i3−i3−i3000-112-2i3−i30000−ii2i−2i−33−33−i−iii2i−2i00-110000i3−i300000000−ii00−33000000
χ542-22-2-122-2-1-2221-21-20-12-1i3−i3001-1-2i3i3−i3−i311-22-112-200−2i2i3−33−3-1000i3−i31-11i3i3−i3−i3000-112-2i3−i30000i−i−2i2i3−33−3ii−i−i−2i2i00-110000i3−i300000000i−i003−3000000
χ552-22-2-122-2-1-2221-21-20-12-1i3−i3001-1-2i3i3−i3−i311-22-11-22002i−2i−33−33-1000i3−i31-11i3i3−i3−i30001-1-22−i3i30000−ii2i−2i−33−33−i−iii−2i2i001-10000−i3i300000000i−i003−3000000
χ562-22-2-122-2-1-2221-21-20-12-1i3−i3001-1-2i3i3−i3−i311-22-11-2200−2i2i3−33−3-1000i3−i31-11i3i3−i3−i30001-1-22−i3i30000i−i−2i2i3−33−3ii−i−i2i−2i001-10000−i3i300000000−ii00−33000000
χ5744444-2-2-24-2-2-24-24-24-21-244-2-2-2-21-2-2-2-2-2-211-2-200000000001-211-2-21111111404000000-2-200000000000000000000-2-20-20011110000000000000000
χ5844444-2-2-24-2-2-24-24-24-21-244-2-2-2-21-2-2-2-2-2-211-2-200000000001-211-2-21111111-40-40000002200000000000000000000220200-1-1-1-10000000000000000
χ5944444-2-2-24-2-2-24-24-2-4-21-2-4-422-2-212222-2-211-2-2000000000012-1-122111-1-1-1-140-4000000-2-200000000000000000000-22020011-1-10000000000000000
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χ624444-24-2-2-244-2-2-2-244-2-21-2-244-2-2-2-2-2-2-211-2-21-2-4-4000000001-2-2-21111111110-4022222200000000000000000000-1-10020-1-100000000000000000000
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χ664444-2-244-2-2-24-24-2-241-2-2-2-2-2-211-21111-2-2-2-2-2100-4-4-4-4222214-2-2-2-2111111100000000000222222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ674444-2-244-2-2-24-24-2-2-41-2-2222211-2-1-1-1-1-2-2-2-2-210044-4-4-2-2-2-21-42222111-1-1-1-100000000000-2-222221111-1-1-1-100000000000000000000000000000000
χ684444-2-244-2-2-24-24-2-2-41-2-2222211-2-1-1-1-1-2-2-2-2-2100-4-44422221-42222111-1-1-1-10000000000022-2-2-2-2-1-1-1-1111100000000000000000000000000000000
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χ7344-4-4-244-424-4-4-242-40-24-20000-22-40000-224-422004i−4i00−2i−2i2i2i-200000-2220000000000000004i−4i0000−2i−2i2i2i000000000000000000000000000000000000
χ7444-4-4-244-424-4-4-242-40-24-20000-22-40000-224-42200−4i4i002i2i−2i−2i-200000-222000000000000000−4i4i00002i2i−2i−2i000000000000000000000000000000000000
χ7544-4-4-2-24-42-22-4-242201-2-200001-123-33-3-22-222-1004i−4i00−2i−2i2i2i1000001-1-13-33-300000000000−2i2i0000ii−i−i3i−3i3i−3i00000000000000000000000000000000
χ7644-4-4-2-24-42-22-4-242201-2-200001-123-33-3-22-222-100−4i4i002i2i−2i−2i1000001-1-13-33-3000000000002i−2i0000−i−iii−3i3i−3i3i00000000000000000000000000000000
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χ1044-4-44-2-244222-42-4-2-201-2-2002i3−2i3-1-1-2−i3i3i3−i32-22221000000−2i32i32i3−2i3102i3−2i300-1-11−i3i3i3−i300000000000000000i3−i3−i3i33-3-3300000000000000000000000000000000
χ1054-4-44-2-244222-42-4-2-201-2-2002i3−2i3-1-1-2−i3i3i3−i32-222210000002i3−2i3−2i32i3102i3−2i300-1-11−i3i3i3−i300000000000000000−i3i3i3−i3-333-300000000000000000000000000000000
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χ1178-8-88-4-4-4-4444444-4-40222004i3−4i3-2-22−2i32i32i3−2i3-22-2-2-220000000000-10−2i32i30011-1i3−i3−i3i3000000000000000000000000000000000000000000000000000000000

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