Finite Group Databasebeta

← Group #13172225

Character table — Group #13172225

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order12223336666666662333666666666666666664444441212121236666666666664441212121212121212121212121212121212121212121244441212121212121212121212124444121212121212221212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1111111111111-1-111-11-1-11111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111-11111-1-1-1-1-1-111111111111111-1-1-1-11-111-1-1-1-11111-11-11-1-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-11-11
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-11-1-1-1-1-111-1-1-11-1-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-11-11-1-1-1-1-1-1111-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-111111-1-1-11111-1-111-1-1-11
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
χ91111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-11111111-1-1-1-1-1111-1-1-1-1-11-1-1-11111-1-11111-1-11111-1-1-1-111-1-1-1-1-1111-1-111-1-11-1-1111-1-111111-1-1-1
χ101111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-11111111-1-1-1-1-1111-1-1-1-1-1-11-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-11-111-1-1-1-111111-111-1-1-1-1-1-1-1111
χ111111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-11-11-1-11111-1-1-1-111-1-111-1-1-1-111-11
χ121111111111111111-1111-1-1-1-11111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1111-1-1-1-11-11-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111111-1-1-111-1-111-11-1-1-1-1111111-1-11-1
χ131111111111111111-1111-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-1111111-1-111-1-111-1-1-1-111111111-1-1-1111-1-111-1-1-11-1-1-1-11111-1-1-1-111
χ141111111111111111-1111-1-1-1-11111-1-1-1-111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1-11111-1-1111-11-111-1-1-1-111-1-111-1-111-1-11111-1-1
χ151111111111111111-1111-1-1-1-11111-1-1-1-111111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-11-11-1-11111-1-1111-111-1-1-1-111-111-1
χ161111111111111111-1111-1-1-1-11111-1-1-1-111111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-1111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1111-1-1-111-1-1111-1-1111-1-111-1-11-1-11
χ17222222-122-1222-1-1222-1-1222222-1-12222-1-1-1-120000220000-1-1-1-1-1-1-1-1-1-1-1-1-122200-1-12222-1-10000000000002200-1-122-1-1-1-1-1-1-1-100200000-1-1000-100
χ18222222-122-1222-1-1222-1-1222222-1-12222-1-1-1-120000220000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-200-1-1222211000000000000-2-2001-1-2-2-1-1-1-1111100-20000011000100
χ19222222-122-1222-1-1222-1-1222222-1-12222-1-1-1-120000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2220011-2-2-2-2-1-1000000000000-2-200-11221111-1-1-1-100-20000011000100
χ20222222-122-1222-1-1222-1-1222222-1-12222-1-1-1-120000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20011-2-2-2-211000000000000220011-2-21111111100200000-1-1000-100
χ21222222-122-1222-1-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-120000220000-111111-1-1-11111-22-200-1-122-2-2-1-1000000000000220011-22-1-111-1-11100-200000-1-1000100
χ22222222-122-1222-1-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-120000220000-111111-1-1-11111-2-2200-1-122-2-211000000000000-2-200-112-2-1-11111-1-10020000011000-100
χ23222222-122-1222-1-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-120000-2-20000-111111-1-1-1111122-20011-2-222-1-1000000000000-2-2001-1-2211-1-1-1-1110020000011000-100
χ24222222-122-1222-1-12-22-1-1-2-2-2-222-1-1-2-2-2-2-1-1-1-120000-2-20000-111111-1-1-111112-220011-2-222110000000000002200-1-12-211-1-111-1-100-200000-1-1000100
χ2522222-122-122-1-12222-12-122-1-1-1-12-1-1-1-1-122-1-1-1222222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1200-1-122-1-1-1-1002222-1-1-1-1-1-1-1-100220200-1-1-1-100002000-1-1-1-100000000
χ2622222-122-122-1-12222-12-122-1-1-1-12-1-1-1-1-122-1-1-12222-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-200-1-1-2-21111002222-1-1-1-1-1-1-1-100-2-20-20011110000-2000111100000000
χ2722222-122-122-1-12222-12-122-1-1-1-12-1-1-1-1-122-1-1-1-2-2-2-2221111-1222-1-1-1-1-1-1-1-1-12001122-1-1-1-100-2-2-2-21111111100-2-20200-1-1-1-10000-2000111100000000
χ2822222-122-122-1-12222-12-122-1-1-1-12-1-1-1-1-122-1-1-1-2-2-2-2-2-21111-1222-1-1-1-1-1-1-1-1-1-20011-2-2111100-2-2-2-21111111100220-200111100002000-1-1-1-100000000
χ2922222-122-122-1-1222-2-12-1-2-211-1-12-1111122-1-1-122-2-222-1-1-1-1-1-2-2-211-1-1-11111-2001122-1-1110022-2-2-1-1-1-1111100-2-20-200-1-11100002000-1-11100000000
χ3022222-122-122-1-1222-2-12-1-2-211-1-12-1111122-1-1-122-2-2-2-2-1-1-1-1-1-2-2-211-1-1-1111120011-2-211-1-10022-2-2-1-1-1-111110022020011-1-10000-200011-1-100000000
χ3122222-122-122-1-1222-2-12-1-2-211-1-12-1111122-1-1-1-2-222221111-1-2-2-211-1-1-11111-200-1-122-1-11100-2-2221111-1-1-1-100220-200-1-1110000-200011-1-100000000
χ3222222-122-122-1-1222-2-12-1-2-211-1-12-1111122-1-1-1-2-222-2-21111-1-2-2-211-1-1-11111200-1-1-2-211-1-100-2-2221111-1-1-1-100-2-2020011-1-100002000-1-11100000000
χ332222-122-122-12222-12-1-12-1-122-1-1-12-1-1-1-1-1-122-12222002222-12-1-122-1-1-1-1-1-1-10222200000022-1-1-1-1-1-1-1-1-1-1-1-1000020-1-10000-1-1-1-1020200000000-10-10
χ342222-122-122-12222-12-1-12-1-122-1-1-12-1-1-1-1-1-122-12222002222-12-1-122-1-1-1-1-1-1-10-2-222000000-2-2-1-1-1-1-1-1-1-1-1-1-1-10000-2011000011110-20-2000000001010
χ352222-122-122-12222-12-1-12-1-122-1-1-12-1-1-1-1-1-122-1-2-2-2-200-2-2-2-2-12-1-122-1-1-1-1-1-1-1022-2-200000022111111111111000020-1-10000-1-1-1-10-20-2000000001010
χ362222-122-122-12222-12-1-12-1-122-1-1-12-1-1-1-1-1-122-1-2-2-2-200-2-2-2-2-12-1-122-1-1-1-1-1-1-10-2-2-2-2000000-2-21111111111110000-201100001111020200000000-10-10
χ372222-122-122-12222-1-2-1-1211-2-2-1-1-121111-1-122-122-2-2002222-1-211-2-2-1-1-1111102-2-2-200000022-1-111-1-1-1-111110000-201-10000-1-1110-20200000000-1010
χ382222-122-122-12222-1-2-1-1211-2-2-1-1-121111-1-122-122-2-2002222-1-211-2-2-1-1-111110-22-2-2000000-2-2-1-111-1-1-1-11111000020-11000011-1-1020-20000000010-10
χ392222-122-122-12222-1-2-1-1211-2-2-1-1-121111-1-122-1-2-22200-2-2-2-2-1-211-2-2-1-1-1111102-2220000002211-1-11111-1-1-1-10000-201-10000-1-111020-20000000010-10
χ402222-122-122-12222-1-2-1-1211-2-2-1-1-121111-1-122-1-2-22200-2-2-2-2-1-211-2-2-1-1-111110-2222000000-2-211-1-11111-1-1-1-1000020-11000011-1-10-20200000000-1010
χ412-22-2222-22-2-2-2-22-2202220000-2-2-2200002-2-2-22002-22i−2i00002000002-2-200000002-22i−2i2i−2i0000002-2000022-2-2002i−2i00002i−2i0000000000002i−2i00000000
χ422-22-2222-22-2-2-2-22-2202220000-2-2-2200002-2-2-22002-2−2i2i00002000002-2-200000002-2−2i2i−2i2i0000002-2000022-2-200−2i2i0000−2i2i000000000000−2i2i00000000
χ432-22-2222-22-2-2-2-22-2202220000-2-2-2200002-2-2-2200-222i−2i00002000002-2-20000000-222i−2i2i−2i000000-220000-2-22200−2i2i00002i−2i000000000000−2i2i00000000
χ442-22-2222-22-2-2-2-22-2202220000-2-2-2200002-2-2-2200-22−2i2i00002000002-2-20000000-22−2i2i−2i2i000000-220000-2-222002i−2i0000−2i2i0000000000002i−2i00000000
χ452-22-22-12-2-1-2-2112-220-12-100−i3i311-2-1−i3−i3i3i32-211-1002-22i−2i−i3−i3i3i3-1000−i3i3-111−i3−i3i3i3000-112i−2i−ii3−300002-2−i3−i3i3i3-1-111002i−2i0000−ii3−3000000003−3−ii00000000
χ462-22-22-12-2-1-2-2112-220-12-100−i3i311-2-1−i3−i3i3i32-211-1002-2−2i2i−i3−i3i3i3-1000−i3i3-111−i3−i3i3i3000-11−2i2ii−i−3300002-2−i3−i3i3i3-1-11100−2i2i0000i−i−3300000000−33i−i00000000
χ472-22-22-12-2-1-2-2112-220-12-100−i3i311-2-1−i3−i3i3i32-211-100-222i−2ii3i3−i3−i3-1000−i3i3-111−i3−i3i3i30001-12i−2i−ii3−30000-22i3i3−i3−i311-1-100−2i2i0000−ii3−300000000−33i−i00000000
χ482-22-22-12-2-1-2-2112-220-12-100−i3i311-2-1−i3−i3i3i32-211-100-22−2i2ii3i3−i3−i3-1000−i3i3-111−i3−i3i3i30001-1−2i2ii−i−330000-22i3i3−i3−i311-1-1002i−2i0000i−i−33000000003−3−ii00000000
χ492-22-22-12-2-1-2-2112-220-12-100i3−i311-2-1i3i3−i3−i32-211-1002-22i−2ii3i3−i3−i3-1000i3−i3-111i3i3−i3−i3000-112i−2i−ii−3300002-2i3i3−i3−i3-1-111002i−2i0000−ii−3300000000−33−ii00000000
χ502-22-22-12-2-1-2-2112-220-12-100i3−i311-2-1i3i3−i3−i32-211-1002-2−2i2ii3i3−i3−i3-1000i3−i3-111i3i3−i3−i3000-11−2i2ii−i3−300002-2i3i3−i3−i3-1-11100−2i2i0000i−i3−3000000003−3i−i00000000
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χ522-22-22-12-2-1-2-2112-220-12-100i3−i311-2-1i3i3−i3−i32-211-100-22−2i2i−i3−i3i3i3-1000i3−i3-111i3i3−i3−i30001-1−2i2ii−i3−30000-22−i3−i3i3i311-1-1002i−2i0000i−i3−300000000−33−ii00000000
χ532-2-22222-2-2222-2-2-2-2022200002-2-2-20000-222-2-22i−2i00002i−2i2i−2i200000-22-2000000000000000002i−2i002i−2i2i−2i00002i−2i00000000000000000000002i−2i2-20000
χ542-2-22222-2-2222-2-2-2-2022200002-2-2-20000-222-2-22i−2i00002i−2i2i−2i200000-22-2000000000000000002i−2i002i−2i2i−2i0000−2i2i0000000000000000000000−2i2i-220000
χ552-2-22222-2-2222-2-2-2-2022200002-2-2-20000-222-2-2−2i2i0000−2i2i−2i2i200000-22-200000000000000000−2i2i00−2i2i−2i2i00002i−2i00000000000000000000002i−2i-220000
χ562-2-22222-2-2222-2-2-2-2022200002-2-2-20000-222-2-2−2i2i0000−2i2i−2i2i200000-22-200000000000000000−2i2i00−2i2i−2i2i0000−2i2i0000000000000000000000−2i2i2-20000
χ5744444-2-24-2-24-2-2-2-244-2-2144-2-2-2-2-21-2-2-2-2-2-211-200004400001-2-2-211111111140000-2-2-2-2-2-20000000000000000000-200111100000000000000000000
χ5844444-2-24-2-24-2-2-2-244-2-2144-2-2-2-2-21-2-2-2-2-2-211-20000-4-400001-2-2-2111111111-400002222220000000000000000000200-1-1-1-100000000000000000000
χ5944444-2-24-2-24-2-2-2-24-4-2-21-4-422-2-2-212222-2-211-200004400001222-1-1111-1-1-1-1-40000-2-2-2-222000000000000000000020011-1-100000000000000000000
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χ614444-24-2-24-2-244-2-2-24-21-2-2-244-2-21-2-2-2-2-211-2-2-200000000001-211-2-2111111104400000000-2-20000000000000000-20-2-2000011110000000000000000
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χ664444-2-24-2-24-2-2-244-241-2-2-2-2-2-211-2-21111-2-2-2-21-4-4-4-400222214-2-2-2-2111111100022000000002222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ674444-2-24-2-24-2-2-244-2-41-2-2222211-2-2-1-1-1-1-2-2-2-2144-4-400-2-2-2-21-42222111-1-1-1-10002200000000-2-2221111-1-1-1-100000000000000000000000000000000
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χ7644-4-4-24-2-2-422-442-220-21-2−2i32i3002-212−2i32i3−2i32i3-1-12-22000000000010i3−i300-1-11i3−i3i3−i30000000000023−23000000000000000000000000−333i−3i0000000000000000
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χ7844-4-4-24-2-2-422-442-220-21-22i3−2i3002-2122i3−2i32i3−2i3-1-12-22000000000010−i3i300-1-11−i3i3−i3i30000000000023−23000000000000000000000000−33−3i3i0000000000000000
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Here i is the imaginary unit (i² = −1).