Finite Group Databasebeta

← Group #13172067

Character table — Group #13172067

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666233366666666666666666444444121212123666666666666244121212121212121212121212121212121212121212122244666612121212121212122444661212121244612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-111111111-1-1111111111111-1-111-1-1-1-11-11111-1-1-11-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111-11111111-1-111-1-1-1-111111111-1-1-1-11111-11-1-1-1-1111-1-11-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-111
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-11-111-1-1-1-1-1-1-1-11-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-11-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-11-1-11-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-111-11-1-1-1-1111111-1-1-11
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
χ91111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-11111111-1-1-1-1-1111-1-1-1-11-1-111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1111-1-111-1-1-1-1-1111
χ101111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-11111111-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-1111-1-11111-1-11111-1-1111-1-1-1
χ111111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1111-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111-1-1-111-1-1-1-1-1111-1-11111-11-1-1
χ121111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-111-1-111111-11-1-1-1-1-111-1-11-111
χ131111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-11-11-1-1-1-1-111111-11-1
χ141111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1111-1-111-1-1-1111-1-111-1-1-11-11
χ151111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-111111-1-1-111-1-111-1-11111-1-1-1-11-1-11
χ161111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1111-1-111-1-111-111-1
χ17222222-12-122-1222-122-1-1222222-12222-1-1-1-1-120000220000-1-1-1-1-1-1-1-1-1-1-1-1-1222000000-1-1-1-122220000000022002-1-1-1-12-1-1-1-1-1-10020-1-100000000-10
χ18222222-12-122-1222-122-1-1222222-12222-1-1-1-1-120000220000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2000000-1-111222200000000-2-200-2111-1-2-1-1-1-11100-20110000000010
χ19222222-12-122-1222-122-1-1222222-12222-1-1-1-1-120000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-12-2200000011-1-1-2-2-2-200000000-2-2002-1-1-1121111-1-100-20110000000010
χ20222222-12-122-1222-122-1-1222222-12222-1-1-1-1-120000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20000001111-2-2-2-2000000002200-21111-21111110020-1-100000000-10
χ21222222-12-122-1222-1-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-120000220000-111111-1-1-111112-2-2000000-1-11122-2-200000000-2-2002-1-1-11-2-1-1111100201100000000-10
χ22222222-12-122-1222-1-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-120000220000-111111-1-1-11111-2-22000000-1-1-1-122-2-2000000002200-211112-1-111-1-100-20-1-10000000010
χ23222222-12-122-1222-1-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-120000-2-20000-111111-1-1-1111122-20000001111-2-2220000000022002-1-1-1-1-211-1-11100-20-1-10000000010
χ24222222-12-122-1222-1-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-120000-2-20000-111111-1-1-11111-22200000011-1-1-2-22200000000-2-200-2111-1211-1-1-1-100201100000000-10
χ2522222-12-122-1222-122-12-122-1-1-1-12-1-1-1-1-1-122-1-12222002222-1222-1-1-1-1-1-1-1-1-1202-1-122-1-100220000-1-1-1-1-1-1-1-10000-12-1-10-10000-1-1200200000000-1-100
χ2622222-12-122-1222-122-12-122-1-1-1-12-1-1-1-1-1-122-1-12222002222-1222-1-1-1-1-1-1-1-1-1-20-2-1-122-1-100-2-20000-1-1-1-1-1-1-1-100001-21101000011-200-2000000001100
χ2722222-12-122-1222-122-12-122-1-1-1-12-1-1-1-1-1-122-1-1-2-2-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-120211-2-21100220000111111110000-12-1-10-10000-1-1-200-2000000001100
χ2822222-12-122-1222-122-12-122-1-1-1-12-1-1-1-1-1-122-1-1-2-2-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-20-211-2-21100-2-200001111111100001-21101000011200200000000-1-100
χ2922222-12-122-1222-12-2-12-1-2-211-1-121111-1-122-1-122-2-2002222-1-2-2-211-1-1-1111120-2-1-1-2-21100-2-20000-1-1-1-111110000-12-1-101000011-2002000000001-100
χ3022222-12-122-1222-12-2-12-1-2-211-1-121111-1-122-1-122-2-2002222-1-2-2-211-1-1-11111-202-1-1-2-21100220000-1-1-1-1111100001-2110-10000-1-1200-200000000-1100
χ3122222-12-122-1222-12-2-12-1-2-211-1-121111-1-122-1-1-2-22200-2-2-2-2-1-2-2-211-1-1-1111120-21122-1-100-2-200001111-1-1-1-10000-12-1-101000011200-200000000-1100
χ3222222-12-122-1222-12-2-12-1-2-211-1-121111-1-122-1-1-2-22200-2-2-2-2-1-2-2-211-1-1-11111-2021122-1-1002200001111-1-1-1-100001-2110-10000-1-1-2002000000001-100
χ332222-12222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-1222222-1-1-1-1-12-1-122-1-1-1-1-1-1-102022-1-1222200-1-1-1-1-1-1-1-1-1-1-1-10022000020-1-1-1-100020000-1-1-1-1000000
χ342222-12222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-12222-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-10-2022-1-122-2-2001111-1-1-1-1-1-1-1-100-2-20000-201111000-200001111000000
χ352222-12222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-1-2-2-2-2221111-12-1-122-1-1-1-1-1-1-1020-2-211-2-22200-1-1-1-11111111100-2-2000020-1-1-1-1000-200001111000000
χ362222-12222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-1-2-2-2-2-2-21111-12-1-122-1-1-1-1-1-1-10-20-2-211-2-2-2-20011111111111100220000-20111100020000-1-1-1-1000000
χ372222-12222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-122-2-222-1-1-1-1-1-211-2-2-1-1-111110-202211-2-22200-1-111-1-1-1-1111100-2-20000-20-1-11100020000-1-111000000
χ382222-12222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-122-2-2-2-2-1-1-1-1-1-211-2-2-1-1-111110202211-2-2-2-20011-1-1-1-1-1-11111002200002011-1-1000-2000011-1-1000000
χ392222-12222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-1-2-222221111-1-211-2-2-1-1-111110-20-2-2-1-1222200-1-1111111-1-1-1-100220000-20-1-111000-2000011-1-1000000
χ402222-12222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-1-2-222-2-21111-1-211-2-2-1-1-11111020-2-2-1-122-2-20011-1-11111-1-1-1-100-2-200002011-1-100020000-1-111000000
χ4122-2-22222-2-2-2-22-2-22022200002-2-200002-22-2-2-22i−2i00002i2i−2i−2i2000002-2-200000002i−2i0000000000002i2i−2i−2i00002-20000000000000000002-200002i−2i0000
χ4222-2-22222-2-2-2-22-2-22022200002-2-200002-22-2-2-22i−2i00002i2i−2i−2i2000002-2-200000002i−2i0000000000002i2i−2i−2i0000-22000000000000000000-220000−2i2i0000
χ4322-2-22222-2-2-2-22-2-22022200002-2-200002-22-2-2-2−2i2i0000−2i−2i2i2i2000002-2-20000000−2i2i000000000000−2i−2i2i2i00002-20000000000000000002-20000−2i2i0000
χ4422-2-22222-2-2-2-22-2-22022200002-2-200002-22-2-2-2−2i2i0000−2i−2i2i2i2000002-2-20000000−2i2i000000000000−2i−2i2i2i0000-22000000000000000000-2200002i−2i0000
χ452-22-2222-2222-2-2-2-2-202220000-2-220000-22-2-2-22002-22i−2i0000200000-22-20000000002-22-22i−2i002i−2i00000022-2-2002i−2i0000002i−2i0000000000002i−2i000000
χ462-22-2222-2222-2-2-2-2-202220000-2-220000-22-2-2-22002-2−2i2i0000200000-22-20000000002-22-2−2i2i00−2i2i00000022-2-200−2i2i000000−2i2i000000000000−2i2i000000
χ472-22-2222-2222-2-2-2-2-202220000-2-220000-22-2-2-2200-222i−2i0000200000-22-2000000000-22-222i−2i002i−2i000000-2-22200−2i2i0000002i−2i000000000000−2i2i000000
χ482-22-2222-2222-2-2-2-2-202220000-2-220000-22-2-2-2200-22−2i2i0000200000-22-2000000000-22-22−2i2i00−2i2i000000-2-222002i−2i000000−2i2i0000000000002i−2i000000
χ492-22-2-122-22-12-211-2-20-1-12−i3i30011-1−i3−i3i3i3-2211-2-1002-22i−2i−i3i3−i3i3-10−i3i3001-11−i3−i3i3i300000-112-22i−2i00−ii3−3−i3i3−i3i3-1-111002i−2i000000−ii3−3000000003−3−ii000000
χ502-22-2-122-22-12-211-2-20-1-12−i3i30011-1−i3−i3i3i3-2211-2-1002-2−2i2i−i3i3−i3i3-10−i3i3001-11−i3−i3i3i300000-112-2−2i2i00i−i−33−i3i3−i3i3-1-11100−2i2i000000i−i−3300000000−33i−i000000
χ512-22-2-122-22-12-211-2-20-1-12−i3i30011-1−i3−i3i3i3-2211-2-100-222i−2ii3−i3i3−i3-10−i3i3001-11−i3−i3i3i3000001-1-222i−2i00−ii3−3i3−i3i3−i311-1-100−2i2i000000−ii3−300000000−33i−i000000
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χ542-22-2-122-22-12-211-2-20-1-12i3−i30011-1i3i3−i3−i3-2211-2-1002-2−2i2ii3−i3i3−i3-10i3−i3001-11i3i3−i3−i300000-112-2−2i2i00i−i3−3i3−i3i3−i3-1-11100−2i2i000000i−i3−3000000003−3i−i000000
χ552-22-2-122-22-12-211-2-20-1-12i3−i30011-1i3i3−i3−i3-2211-2-100-222i−2i−i3i3−i3i3-10i3−i3001-11i3i3−i3−i3000001-1-222i−2i00−ii−33−i3i3−i3i311-1-100−2i2i000000−ii−33000000003−3i−i000000
χ562-22-2-122-22-12-211-2-20-1-12i3−i30011-1i3i3−i3−i3-2211-2-100-22−2i2i−i3i3−i3i3-10i3−i3001-11i3i3−i3−i3000001-1-22−2i2i00i−i3−3−i3i3−i3i311-1-1002i−2i000000i−i3−300000000−33−ii000000
χ5744444-2-2-2-24-2-244-2-24-2-2144-2-2-2-2-2-2-2-2-211-2-21-200000000001-2-2-211111111140400000000-2-20000000000000000-2-2110-20000110000000000000000
χ5844444-2-2-2-24-2-244-2-24-2-2144-2-2-2-2-2-2-2-2-211-2-21-200000000001-2-2-2111111111-40-40000000022000000000000000022-1-1020000-1-10000000000000000
χ5944444-2-2-2-24-2-244-2-2-4-2-21-4-422-2-2-2222211-2-21-200000000001222-1-1111-1-1-1-140-400000000220000000000000000-2-211020000-1-10000000000000000
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χ614444-24-24-2-24-2-2-24-24-21-2-2-244-2-21-2-2-2-2-2-211-2-200004400001-211-2-21111111040000000-2-200-2-2-2-20000000000000000-201111000000000000000000
χ624444-24-24-2-24-2-2-24-24-21-2-2-244-2-21-2-2-2-2-2-211-2-20000-4-400001-211-2-211111110-4000000022002222000000000000000020-1-1-1-1000000000000000000
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χ664444-2-24-24-2-24-2-2-2441-2-2-2-2-2-211-21111-2-2-2-2-21-4-4-4-400222214-2-2-2-2111111100022222200000000-1-1-1-1-1-1-1-100000000000000000000000000000000
χ674444-2-24-24-2-24-2-2-24-41-2-2222211-2-1-1-1-1-2-2-2-2-2144-4-400-2-2-2-21-42222111-1-1-1-1000-2-22222000000001111-1-1-1-100000000000000000000000000000000
χ684444-2-24-24-2-24-2-2-24-41-2-2222211-2-1-1-1-1-2-2-2-2-21-4-4440022221-42222111-1-1-1-100022-2-2-2-200000000-1-1-1-1111100000000000000000000000000000000
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χ7544-4-4-2-24-2-422-4-222401-2-200001-123-33-3-22-222-14i−4i0000−2i−2i2i2i1000001-1-13-33-3000−2i2i000000000000ii−i−i3i−3i3i−3i00000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).