Finite Group Databasebeta

← Group #13172310

Character table — Group #13172310

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222222244444444444444444444444466668888888888121212121212121212121212121212121212121212121212121212121212121212121212181824242424242424243636363636363636365454545472727272
order122222333666666666666633366666666666666666666644443666666666244412121212121212121212121212121212121212121212121212121212121212122266661212121222444666622446121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-111-11111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1111111111111-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-11-1-11-1-1-1-1-1-1-1-11-1-11
χ4111111111111111111111111111111111111111111111111-1-11111111111-11-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-111-1
χ51111111111111111111111111111111111111111111111-1-11111111111111-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111111111-1-1111111111111-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111111-1-11
χ71111111111111111111111111111111111111111111111-1-1-1-111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1
χ81111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-11111
χ91111-1-111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1111-1-1-1-11-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-11111-1-111-1-1-11-11
χ101111-1-111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1111-1-1-1-1-1-1-111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-111-1-111-1-1-1-1111-11-1
χ111111-1-111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-11-1-1111-1-1-1-11-11-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-11-11-1-111-1-111-1-111
χ121111-1-111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-1-1-11111-1-111-1-1
χ131111-1-111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-11-1-1-111-1-11111-1-1
χ141111-1-111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1111-1-1-1-1-11-11-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111-11-11-1-11111-1-1-1-111
χ151111-1-111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1111-1-1-1-1111-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-111-1-111-1-111-1-11-11-1
χ161111-1-111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1111-1-1-1-1-1111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-11111-1-1-1-111-11-11
χ1722222222-12-1-1-1-1-12-1-12222-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-12222-122-1-1-1-1-1-1-1022022-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000000020000-1-1-1-100000000
χ1822222222-12-1-1-1-1-12-1-12222-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-122-2-2-122-1-1-1-1-1-1-102-2022-1-122-1-11111-2-2-2-2-1-1-1-1-1-1-1-111111111-2-200000000-20000111100000000
χ1922222222-12-1-1-1-1-12-1-12222-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-2-222-122-1-1-1-1-1-1-10-220-2-211-2-211-1-1-1-1222211111111-1-1-1-1-1-1-1-1-2-200000000-20000111100000000
χ2022222222-12-1-1-1-1-12-1-12222-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-2-2-2-2-122-1-1-1-1-1-1-10-2-20-2-211-2-2111111-2-2-2-21111111111111111220000000020000-1-1-1-100000000
χ212222222-12-122222-122222-12-1-122-1-122-1-12222-1-1-1-1-1-1-12-12200-1-1-1-1-1-1-1-1-1-12202-1-122-1-12200000000-1-1-1-1-1-1-1-100000000002-1-1-12-1-1-10200200000000-100-1
χ222222222-12-122222-122222-12-1-122-1-122-1-12222-1-1-1-1-1-1-12-12200-1-1-1-1-1-1-1-1-1-1-220-2-1-122-1-12200000000-1-1-1-1-1-1-1-10000000000-2111-21110-200-2000000001001
χ232222222-12-122222-122222-12-1-122-1-122-1-12222-1-1-1-1-1-1-12-1-2-200-1-1-1-1-1-1-1-1-1-12-20211-2-211-2-2000000001111111100000000002-1-1-12-1-1-10-200-2000000001001
χ242222222-12-122222-122222-12-1-122-1-122-1-12222-1-1-1-1-1-1-12-1-2-200-1-1-1-1-1-1-1-1-1-1-2-20-211-2-211-2-200000000111111110000000000-2111-21110200200000000-100-1
χ25222222-122222222222-1-1-12-12-1-1-122-1-122-1-1-1-12222-1-1-1-120022-1-1-1-1-1-1-1-1-1-12022000000002222-1-1-1-100000000-1-1-1-1-1-1-1-100-12-1-1-12-1-100220000000000-1-10
χ26222222-122222222222-1-1-12-12-1-1-122-1-122-1-1-1-12222-1-1-1-120022-1-1-1-1-1-1-1-1-1-1-202-2000000002222-1-1-1-100000000-1-1-1-1-1-1-1-1001-2111-21100-2-20000000000110
χ27222222-122222222222-1-1-12-12-1-1-122-1-122-1-1-1-12222-1-1-1-1200-2-2-1-1-1-1-1-1-1-1-1-120-2200000000-2-2-2-21111000000001111111100-12-1-1-12-1-100-2-20000000000110
χ28222222-122222222222-1-1-12-12-1-1-122-1-122-1-1-1-12222-1-1-1-1200-2-2-1-1-1-1-1-1-1-1-1-1-20-2-200000000-2-2-2-211110000000011111111001-2111-21100220000000000-1-10
χ292222-2-222-12-111112-1-12222-1-12-2-2-2-2-1-1-1-111111111222-1-12222-1-2-2-1-1-111110-2-2022-1-1-2-211-1-11122-2-2-1-1-1-11111-1-1-1-111112200000000-20000-1-11100000000
χ302222-2-222-12-111112-1-12222-1-12-2-2-2-2-1-1-1-111111111222-1-122-2-2-1-2-2-1-1-111110-22022-1-1-2-21111-1-1-2-222-1-1-1-111111111-1-1-1-1-2-2000000002000011-1-100000000
χ312222-2-222-12-111112-1-12222-1-12-2-2-2-2-1-1-1-111111111222-1-1-2-222-1-2-2-1-1-1111102-20-2-21122-1-1-1-11122-2-21111-1-1-1-1-1-1-1-11111-2-2000000002000011-1-100000000
χ322222-2-222-12-111112-1-12222-1-12-2-2-2-2-1-1-1-111111111222-1-1-2-2-2-2-1-2-2-1-1-111110220-2-21122-1-111-1-1-2-2221111-1-1-1-11111-1-1-1-12200000000-20000-1-11100000000
χ332222-2-22-12-12-2-2-2-2-122222-12-1-1-2-21122-1-1-2-2-2-21111-1-1-12-12200-111-1-1-111112-20-2-1-12211-2-200000000-1-1-1-1111100000000002-1-1-1-21110-200200000000100-1
χ342222-2-22-12-12-2-2-2-2-122222-12-1-1-2-21122-1-1-2-2-2-21111-1-1-12-12200-111-1-1-11111-2-202-1-12211-2-200000000-1-1-1-111110000000000-21112-1-1-10200-200000000-1001
χ352222-2-22-12-12-2-2-2-2-122222-12-1-1-2-21122-1-1-2-2-2-21111-1-1-12-1-2-200-111-1-1-11111220-211-2-2-1-122000000001111-1-1-1-100000000002-1-1-1-21110200-200000000-1001
χ362222-2-22-12-12-2-2-2-2-122222-12-1-1-2-21122-1-1-2-2-2-21111-1-1-12-1-2-200-111-1-1-11111-220211-2-2-1-122000000001111-1-1-1-10000000000-21112-1-1-10-200200000000100-1
χ372222-2-2-12222-2-2-2-2222-1-1-12-12-111-2-2-1-1221111-2-2-2-2-1-1-1-120022-111-1-1-1111120-2-20000000022-2-2-1-11100000000-1-1-1-1111100-12-1-11-21100-220000000000-110
χ382222-2-2-12222-2-2-2-2222-1-1-12-12-111-2-2-1-1221111-2-2-2-2-1-1-1-120022-111-1-1-11111-20-220000000022-2-2-1-11100000000-1-1-1-11111001-211-12-1-1002-200000000001-10
χ392222-2-2-12222-2-2-2-2222-1-1-12-12-111-2-2-1-1221111-2-2-2-2-1-1-1-1200-2-2-111-1-1-11111202-200000000-2-22211-1-1000000001111-1-1-1-100-12-1-11-211002-200000000001-10
χ402222-2-2-12222-2-2-2-2222-1-1-12-12-111-2-2-1-1221111-2-2-2-2-1-1-1-1200-2-2-111-1-1-11111-202200000000-2-22211-1-1000000001111-1-1-1-1001-211-12-1-100-220000000000-110
χ4122-2-200222220000-2-2-22-2-2-222200002-22-2000000002-2-2-2-22i−2i2i−2i2002-2-2000000002i−2i2i−2i00002i−2i002i−2i002i2i−2i−2i00002i2i−2i−2i00002-200000000000002-20000000000
χ4222-2-200222220000-2-2-22-2-2-222200002-22-2000000002-2-2-2-22i−2i−2i2i2002-2-2000000002i−2i2i−2i0000−2i2i00−2i2i002i2i−2i−2i0000−2i−2i2i2i0000-220000000000000-220000000000
χ4322-2-200222220000-2-2-22-2-2-222200002-22-2000000002-2-2-2-2−2i2i2i−2i2002-2-200000000−2i2i−2i2i00002i−2i002i−2i00−2i−2i2i2i00002i2i−2i−2i0000-220000000000000-220000000000
χ4422-2-200222220000-2-2-22-2-2-222200002-22-2000000002-2-2-2-2−2i2i−2i2i2002-2-200000000−2i2i−2i2i0000−2i2i00−2i2i00−2i−2i2i2i0000−2i−2i2i2i00002-200000000000002-20000000000
χ4522-2-20022-12-1−i3−i3i3i3-2112-2-2-2-1-120000-11-11−i3−i3i3i3−i3−i3i3i32-2-2112i−2i2i−2i-100-111−i3−i3i3i300002i−2i−ii003−3−ii3−32i−2i00−i−iii33−3−3−i−iii33−3−32-20000000000000-11−i3i300000000
χ4622-2-20022-12-1−i3−i3i3i3-2112-2-2-2-1-120000-11-11−i3−i3i3i3−i3−i3i3i32-2-2112i−2i−2i2i-100-111−i3−i3i3i300002i−2i−ii003−3i−i−33−2i2i00−i−iii33−3−3ii−i−i−3−333-2200000000000001-1i3−i300000000
χ4722-2-20022-12-1−i3−i3i3i3-2112-2-2-2-1-120000-11-11−i3−i3i3i3−i3−i3i3i32-2-211−2i2i2i−2i-100-111−i3−i3i3i30000−2i2ii−i00−33−ii3−32i−2i00ii−i−i−3−333−i−iii33−3−3-2200000000000001-1i3−i300000000
χ4822-2-20022-12-1−i3−i3i3i3-2112-2-2-2-1-120000-11-11−i3−i3i3i3−i3−i3i3i32-2-211−2i2i−2i2i-100-111−i3−i3i3i30000−2i2ii−i00−33i−i−33−2i2i00ii−i−i−3−333ii−i−i−3−3332-20000000000000-11−i3i300000000
χ4922-2-20022-12-1i3i3−i3−i3-2112-2-2-2-1-120000-11-11i3i3−i3−i3i3i3−i3−i32-2-2112i−2i2i−2i-100-111i3i3−i3−i300002i−2i−ii00−33−ii−332i−2i00−i−iii−3−333−i−iii−3−3332-20000000000000-11i3−i300000000
χ5022-2-20022-12-1i3i3−i3−i3-2112-2-2-2-1-120000-11-11i3i3−i3−i3i3i3−i3−i32-2-2112i−2i−2i2i-100-111i3i3−i3−i300002i−2i−ii00−33i−i3−3−2i2i00−i−iii−3−333ii−i−i33−3−3-2200000000000001-1−i3i300000000
χ5122-2-20022-12-1i3i3−i3−i3-2112-2-2-2-1-120000-11-11i3i3−i3−i3i3i3−i3−i32-2-211−2i2i2i−2i-100-111i3i3−i3−i30000−2i2ii−i003−3−ii−332i−2i00ii−i−i33−3−3−i−iii−3−333-2200000000000001-1−i3i300000000
χ5222-2-20022-12-1i3i3−i3−i3-2112-2-2-2-1-120000-11-11i3i3−i3−i3i3i3−i3−i32-2-211−2i2i−2i2i-100-111i3i3−i3−i30000−2i2ii−i003−3i−i3−3−2i2i00ii−i−i33−3−3ii−i−i33−3−32-20000000000000-11i3−i300000000
χ532-2-222-2222-2-22-22-2-22-2-22-222222-22-2-2-2-222-22-22-22-2-2-222-2000022-2-22-22-22-200000000000000000000000000000000000000000000000000000002-22-20000
χ542-2-222-2222-2-22-22-2-22-2-22-222222-22-2-2-2-222-22-22-22-2-2-222-2000022-2-22-22-22-20000000000000000000000000000000000000000000000000000000-22-220000
χ552-2-22-22222-2-2-22-22-22-2-22-22222-22-22-2-2-22-22-22-22-22-2-222-200002-22-22-2-22-2200000000000000000000000000000000000000000000000000000002-2-220000
χ562-2-22-22222-2-2-22-22-22-2-22-22222-22-22-2-2-22-22-22-22-22-2-222-200002-22-22-2-22-220000000000000000000000000000000000000000000000000000000-222-20000
χ574444444-2-2-2-2-2-2-2-2-2-2-2444-2-21-244-2-2-2-211-2-2-2-21111-2-2-2-2144001-2-211111110400-2-2-2-2-2-2-2-2000000001111111100000000000000000000000000000000000
χ584444444-2-2-2-2-2-2-2-2-2-2-2444-2-21-244-2-2-2-211-2-2-2-21111-2-2-2-21-4-4001-2-211111110-4002222222200000000-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ59444444-24-24-2-2-2-2-24-2-2-2-2-241-2-2-2-24411-2-21111-2-2-2-2-2-2-21-200441-2-21111111004000000000-2-2-2-2-2-2-2-20000000011111111000000000000000000000000000
χ60444444-24-24-2-2-2-2-24-2-2-2-2-241-2-2-2-24411-2-21111-2-2-2-2-2-2-21-200-4-41-2-2111111100-40000000002222222200000000-1-1-1-1-1-1-1-1000000000000000000000000000
χ61444444-2-24-244444-244-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111-2-20000111111111140040000000000000000000000000000000000-2-211-2-21100000000000000000
χ62444444-2-24-244444-244-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111-2-200001111111111-400-4000000000000000000000000000000000022-1-122-1-100000000000000000
χ634444-4-44-2-2-2-22222-2-2-2444-2-21-2-4-422-2-2112222-1-1-1-1-2-2-2-214400122111-1-1-1-10-400-2-2-2-22222000000001111-1-1-1-100000000000000000000000000000000000
χ644444-4-44-2-2-2-22222-2-2-2444-2-21-2-4-422-2-2112222-1-1-1-1-2-2-2-21-4-400122111-1-1-1-104002222-2-2-2-200000000-1-1-1-1111100000000000000000000000000000000000
χ654444-4-4-24-24-222224-2-2-2-2-241-2-222-4-411-2-2-1-1-1-12222-2-2-21-20044122111-1-1-1-100-4000000000-2-222-2-222000000001111-1-1-1-1000000000000000000000000000
χ664444-4-4-24-24-222224-2-2-2-2-241-2-222-4-411-2-2-1-1-1-12222-2-2-21-200-4-4122111-1-1-1-100400000000022-2-222-2-200000000-1-1-1-11111000000000000000000000000000
χ674444-4-4-2-24-24-4-4-4-4-244-2-2-2-2-2-212222-2-2-2-222222222111-2-200001-1-1111-1-1-1-1400-40000000000000000000000000000000000-2-21122-1-100000000000000000
χ684444-4-4-2-24-24-4-4-4-4-244-2-2-2-2-2-212222-2-2-2-222222222111-2-200001-1-1111-1-1-1-1-4004000000000000000000000000000000000022-1-1-2-21100000000000000000
χ6944-4-4004-24-2400002-4-44-4-424-2-200004-4-2200000000-222-424i−4i00-200-22200000000−2i2i4i−4i000000000000−2i−2i2i2i000000000000000000000000000000000000000
χ7044-4-4004-24-2400002-4-44-4-424-2-200004-4-2200000000-222-42−4i4i00-200-222000000002i−2i−4i4i0000000000002i2i−2i−2i000000000000000000000000000000000000000
χ7144-4-4004-2-2-2-2−2i3−2i32i32i32224-4-42-21-20000-221-1−2i3−2i32i32i3i3i3−i3−i3-2222-14i−4i001001-1-1i3i3−i3−i30000−2i2i−2i2i0023−2300000000ii−i−i−3−33300000000000000000000000000000000000
χ7244-4-4004-2-2-2-2−2i3−2i32i32i32224-4-42-21-20000-221-1−2i3−2i32i32i3i3i3−i3−i3-2222-1−4i4i001001-1-1i3i3−i3−i300002i−2i2i−2i00−232300000000−i−iii33−3−300000000000000000000000000000000000
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χ1158888-8-8-4-4-4-4-44444-4-4-4-4-4-4-422244442222-2-2-2-2-2-2-2-2222220000-1-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000000000
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χ11888-8-800-4-4-4-4-44i34i3−4i3−4i3444-444422200002-22-2−2i3−2i32i32i3−2i3−2i32i32i32-2-2-2-20000-100-111i3i3−i3−i3000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).