Finite Group Databasebeta

← Group #13172722

Character table — Group #13172722

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order12223336666666662333666666666666666664444441212121236666666666662441212121212121212121212121212121212121212121222226666121212121212121224446666121222612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1111111111-1-111111111111111-1-1-1-1-1-11-11111-1-1-11-1-111-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-11-1-111-1-1-1-1-11-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-11-11-1-1-1-1-1-1-1111-111
χ51111111111111111111111111111111111111-1-111111111111111111111111-1-1-1-1-1111111-1-11111111111-1-1-1-11111-11-1-1-1-1111-11-1-1-1-1-1-1-1-1-11-11-1
χ61111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-11-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-1-1-111-11-1-111-1-11111-1-1-11
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
χ91111111111111111-1111-1-1-1-1111-1-1-1-11111111111-1-111111-1-1-1-1-1111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-11-1-1-1-111-1-111-11
χ101111111111111111-1111-1-1-1-1111-1-1-1-11111111111-1-111111-1-1-1-1-1111-1-1-1-1-11-1111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1111-1-111-111-1-1-1111111-1-11-1
χ111111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-11111-1-111-1-1-1-111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-111-1
χ121111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-11-11111-1-11111-1-111-1-1-1-111111111-1-1-1-1-1111-1-1111-1-1-11111-1-1-1-11-1-11
χ131111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111-1-111111-1-1-1-1-1111-1-1-1-11-11-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111111111-1-1-111-1-11-1-1-11111-1-1111-1-1-1
χ141111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111-1-111111-1-1-1-1-1111-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1111
χ151111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-11-11-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111111-1-1-111-1-1-111-1-1-11111-1-1-1-111
χ161111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-11-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-11-1-1-1-1111111-1-1
χ17222222-12-122-1222-122-1-1222222-12222-1-1-1-1-122200000000-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-10000-1-122000000000000222-1-1-1-12-1-1-1-1-1-1000200-1-100000-100
χ18222222-12-122-1222-122-1-1222222-12222-1-1-1-1-122200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2222-1-100001122000000000000-2-2-2111-1-2-1-1-1-111000-2001100000100
χ19222222-12-122-1222-122-1-1222222-12222-1-1-1-1-12-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2110000-1-1-2-2000000000000-2-22-1-1-1121111-1-1000-2001100000100
χ20222222-12-122-1222-122-1-1222222-12222-1-1-1-1-12-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211000011-2-200000000000022-21111-2111111000200-1-100000-100
χ21222222-12-122-1222-1-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-122200000000-111111-1-1-111112-2-222-1-1000011-2-2000000000000-2-22-1-1-11-2-1-111110002001100000-100
χ22222222-12-122-1222-1-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-122200000000-111111-1-1-11111-22-222-1-10000-1-1-2-200000000000022-211112-1-111-1-1000-200-1-100000100
χ23222222-12-122-1222-1-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-12-2-200000000-111111-1-1-111112-22-2-21100001122000000000000222-1-1-1-1-211-1-111000-200-1-100000100
χ24222222-12-122-1222-1-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-12-2-200000000-111111-1-1-11111-222-2-2110000-1-122000000000000-2-2-2111-1211-1-1-1-10002001100000-100
χ2522222-12-122-1222-122-12-122-1-1-1-12-1-1-1-1-1-122-1-10022222222-1222-1-1-1-1-1-1-1-1-12200000-1-1-1-1220022-1-1-1-1-1-1-1-10000-12-1-10-10000-1-1202000000000-10-10
χ2622222-12-122-1222-122-12-122-1-1-1-12-1-1-1-1-1-122-1-10022222222-1222-1-1-1-1-1-1-1-1-1-2-200000-1-1-1-1-2-20022-1-1-1-1-1-1-1-100001-21101000011-20-20000000001010
χ2722222-12-122-1222-122-12-122-1-1-1-12-1-1-1-1-1-122-1-100-2-2-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-1220000011112200-2-2111111110000-12-1-10-10000-1-1-20-20000000001010
χ2822222-12-122-1222-122-12-122-1-1-1-12-1-1-1-1-1-122-1-100-2-2-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-2-2000001111-2-200-2-21111111100001-21101000011202000000000-10-10
χ2922222-12-122-1222-12-2-12-1-2-211-1-121111-1-122-1-10022-2-22222-1-2-2-211-1-1-111112-200000-1-111-2-200-2-2-1-1-1-111110000-12-1-10100001120-2000000000-1010
χ3022222-12-122-1222-12-2-12-1-2-211-1-121111-1-122-1-10022-2-22222-1-2-2-211-1-1-11111-2200000-1-1112200-2-2-1-1-1-1111100001-2110-10000-1-1-20200000000010-10
χ3122222-12-122-1222-12-2-12-1-2-211-1-121111-1-122-1-100-2-222-2-2-2-2-1-2-2-211-1-1-111112-20000011-1-1-2-200221111-1-1-1-10000-12-1-101000011-20200000000010-10
χ3222222-12-122-1222-12-2-12-1-2-211-1-121111-1-122-1-100-2-222-2-2-2-2-1-2-2-211-1-1-11111-220000011-1-12200221111-1-1-1-100001-2110-10000-1-120-2000000000-1010
χ332222-12222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-1222222-1-1-1-1-12-1-122-1-1-1-1-1-1-1002-1-122222200-1-1-1-1-1-1-1-1-1-1-1-12200000020-1-1-1-1000200-1-100-1-1000000
χ342222-12222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-122-2-2-2-21111-12-1-122-1-1-1-1-1-1-1002-1-122-2-2-2-200-1-11111111111-2-200000020-1-1-1-1000-200110011000000
χ352222-12222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-1-2-22222-1-1-1-1-12-1-122-1-1-1-1-1-1-100-211-2-222220011-1-1-1-1-1-1-1-1-1-1-2-2000000-201111000-200110011000000
χ362222-12222-122-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-1-2-2-2-2-2-21111-12-1-122-1-1-1-1-1-1-100-211-2-2-2-2-2-20011111111111122000000-201111000200-1-100-1-1000000
χ372222-12222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-12222-2-2-1-1-1-1-1-211-2-2-1-1-1111100-2-1-12222-2-2001111-1-1-1-11111-2-2000000-20-1-1110002001100-1-1000000
χ382222-12222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-122-2-2221111-1-211-2-2-1-1-1111100-2-1-122-2-2220011-1-11111-1-1-1-122000000-20-1-111000-200-1-10011000000
χ392222-12222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-1-2-222-2-2-1-1-1-1-1-211-2-2-1-1-1111100211-2-222-2-200-1-111-1-1-1-11111220000002011-1-1000-200-1-10011000000
χ402222-12222-122-1-122-2-1-1211-2-2-1-1-1111122-1-12-1-2-2-2-2221111-1-211-2-2-1-1-1111100211-2-2-2-22200-1-1-1-11111-1-1-1-1-2-20000002011-1-10002001100-1-1000000
χ4122-2-222222-2-2-22-2-2-2022200002-2200002-2-2-2-2-22i−2i002i−2i00002000002-2-200000002i−2i2i−2i002i−2i00002i−2i00002i2i−2i−2i2-2000000002i−2i000000002-20000000000
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χ4322-2-222222-2-2-22-2-2-2022200002-2200002-2-2-2-2-2−2i2i002i−2i00002000002-2-20000000−2i2i−2i2i002i−2i00002i−2i00002i2i−2i−2i-2200000000−2i2i00000000-220000000000
χ4422-2-222222-2-2-22-2-2-2022200002-2200002-2-2-2-2-2−2i2i00−2i2i00002000002-2-20000000−2i2i−2i2i00−2i2i0000−2i2i0000−2i−2i2i2i2-200000000−2i2i000000002-20000000000
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χ4622-2-2-122221-2-2-11-2-20-1-12−i3i300-11-1−i3−i3i3i32-211-212i−2i00−2i2i−3−333-10−i3i300-111−i3−i3i3i3000−ii2i−2i00−2i2i003−3i−i−3−333ii−i−i-2200000000−ii3−30000001-100i3−i3000000
χ4722-2-2-122221-2-2-11-2-20-1-12−i3i300-11-1−i3−i3i3i32-211-21−2i2i002i−2i33−3−3-10−i3i300-111−i3−i3i3i3000i−i−2i2i002i−2i00−33−ii33−3−3−i−iii-2200000000i−i−330000001-100i3−i3000000
χ4822-2-2-122221-2-2-11-2-20-1-12−i3i300-11-1−i3−i3i3i32-211-21−2i2i00−2i2i−3−333-10−i3i300-111−i3−i3i3i3000i−i−2i2i00−2i2i00−33i−i−3−333ii−i−i2-200000000i−i−33000000-1100−i3i3000000
χ4922-2-2-122221-2-2-11-2-20-1-12i3−i300-11-1i3i3−i3−i32-211-212i−2i002i−2i−3−333-10i3−i300-111i3i3−i3−i3000−ii2i−2i002i−2i00−33−ii−3−333−i−iii2-200000000−ii−33000000-1100i3−i3000000
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χ5222-2-2-122221-2-2-11-2-20-1-12i3−i300-11-1i3i3−i3−i32-211-21−2i2i00−2i2i33−3−3-10i3−i300-111i3i3−i3−i3000i−i−2i2i00−2i2i003−3i−i33−3−3ii−i−i2-200000000i−i3−3000000-1100i3−i3000000
χ532-2-22222-2-2-22-2-22-2202220000-2-2-20000-222-2-22002-2002-22-2200000-22-2000000000002-2000000002-22-20000002-20000000000000000002-2002-20000
χ542-2-22222-2-2-22-2-22-2202220000-2-2-20000-222-2-22002-2002-22-2200000-22-2000000000002-2000000002-22-2000000-22000000000000000000-2200-220000
χ552-2-22222-2-2-22-2-22-2202220000-2-2-20000-222-2-2200-2200-22-22200000-22-200000000000-2200000000-22-220000002-20000000000000000002-200-220000
χ562-2-22222-2-2-22-2-22-2202220000-2-2-20000-222-2-2200-2200-22-22200000-22-200000000000-2200000000-22-22000000-22000000000000000000-22002-20000
χ5744444-2-2-2-24-2-244-2-24-2-2144-2-2-2-2-2-2-2-2-211-2-21-200000000001-2-2-211111111144000000000-2-20000000000000000-2-2110-20000110000000000000000
χ5844444-2-2-2-24-2-244-2-24-2-2144-2-2-2-2-2-2-2-2-211-2-21-200000000001-2-2-2111111111-4-400000000022000000000000000022-1-1020000-1-10000000000000000
χ5944444-2-2-2-24-2-244-2-2-4-2-21-4-422-2-2-2222211-2-21-200000000001222-1-1111-1-1-1-14-4000000000220000000000000000-2-211020000-1-10000000000000000
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χ7444-4-4-24-24-22-42-22-420-21-2−2i32i300-221−2i3−2i32i32i3-22-1-122−4i4i0000000010i3−i3001-1-1i3i3−i3−i30002i−2i2i−2i000000−232300000000000000000000−ii3−3000000000000000000
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Here i is the imaginary unit (i² = −1).