Finite Group Databasebeta

← Group #13172066

Character table — Group #13172066

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222222244444444444444444444444466668888888888121212121212121212121212121212121212121212121212121212121212121212121212181824242424242424243636363636363636365454545472727272
order1222223336666666666666333666666666666666666666444436666666662444121212121212121212121212121212121212121212121212121212121212121244666612121212244441212121222446121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-111-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1111111111111-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-11-1-1-1-1-1-1-1-11-1-11
χ4111111111111111111111111111111111111111111111111-1-11111111111-11-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-111-1
χ51111111111111111111111111111111111111111111111-1-11111111111111-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111111111-111-1-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111111111-1-1111111111111-1-11-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-111111-1-11
χ71111111111111111111111111111111111111111111111-1-1-1-111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-11-111111111-1-1-1-1
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
χ91111-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1111-1-1-1-11-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-111-1-1-1-11111-1-1
χ101111-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1111-1-1-1-1-1-1-111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11-1111-1-111-1-1-1-111
χ111111-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-11-1-1111-1-1-1-11-11-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-111-1-1-11111-1-11-11-1
χ121111-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11-111-1-111-1-111-11-11
χ131111-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-11-111-1-11111-1-1-11-11
χ141111-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1111-1-1-1-1-11-11-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111-111-1-1-111-1-1111-11-1
χ151111-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1111-1-1-1-1111-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11-1111-1-1-1-111-1-111
χ161111-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1111-1-1-1-1-1111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-111-1-111-1-111-1-1
χ1722222222-122222-12-1222-122-1-122-1-122-1-12222-1-1-1-1-1-1-12-12200-1-1-1-1-1-1-1-1-1-1220222-1-122-1-100000000-1-1-1-1-1-1-1-100000000002-1-1-12-1-1-12000200000000-100-1
χ1822222222-122222-12-1222-122-1-122-1-122-1-12222-1-1-1-1-1-1-12-12200-1-1-1-1-1-1-1-1-1-1-220-222-1-122-1-100000000-1-1-1-1-1-1-1-10000000000-2111-2111-2000-2000000001001
χ1922222222-122222-12-1222-122-1-122-1-122-1-12222-1-1-1-1-1-1-12-1-2-200-1-1-1-1-1-1-1-1-1-12-202-2-211-2-211000000001111111100000000002-1-1-12-1-1-1-2000-2000000001001
χ2022222222-122222-12-1222-122-1-122-1-122-1-12222-1-1-1-1-1-1-12-1-2-200-1-1-1-1-1-1-1-1-1-1-2-20-2-2-211-2-21100000000111111110000000000-2111-21112000200000000-100-1
χ212222222-1222222222-1-1-122-12-1-1-122-1-122-1-1-1-12222-1-1-1-120022-1-1-1-1-1-1-1-1-1-1202200000000-1-1-1-1222200000000-1-1-1-1-1-1-1-100-12-1-1-12-1-102200000000000-1-10
χ222222222-1222222222-1-1-122-12-1-1-122-1-122-1-1-1-12222-1-1-1-120022-1-1-1-1-1-1-1-1-1-1-202-200000000-1-1-1-1222200000000-1-1-1-1-1-1-1-1001-2111-2110-2-200000000000110
χ232222222-1222222222-1-1-122-12-1-1-122-1-122-1-1-1-12222-1-1-1-1200-2-2-1-1-1-1-1-1-1-1-1-120-22000000001111-2-2-2-2000000001111111100-12-1-1-12-1-10-2-200000000000110
χ242222222-1222222222-1-1-122-12-1-1-122-1-122-1-1-1-12222-1-1-1-1200-2-2-1-1-1-1-1-1-1-1-1-1-20-2-2000000001111-2-2-2-20000000011111111001-2111-21102200000000000-1-10
χ25222222-122-1-1-1-1-12-122222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-12222-122-1-1-1-1-1-1-10220-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000000000020-1-1-1-100000000
χ26222222-122-1-1-1-1-12-122222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-122-2-2-122-1-1-1-1-1-1-102-20-1-122-1-122-2-2-2-21111-1-1-1-1-1-1-1-111111111-2-200000000000-20111100000000
χ27222222-122-1-1-1-1-12-122222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-2-222-122-1-1-1-1-1-1-10-22011-2-211-2-22222-1-1-1-111111111-1-1-1-1-1-1-1-1-2-200000000000-20111100000000
χ28222222-122-1-1-1-1-12-122222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-2-2-2-2-122-1-1-1-1-1-1-10-2-2011-2-211-2-2-2-2-2-211111111111111111111220000000000020-1-1-1-100000000
χ292222-2-222-12-2-2-2-2-12-1222-122-1-1-2-21122-1-1-2-2-2-21111-1-1-12-12200-111-1-1-111112-20-222-1-1-2-21100000000-1-1-1-1111100000000002-1-1-1-21112000-200000000-1001
χ302222-2-222-12-2-2-2-2-12-1222-122-1-1-2-21122-1-1-2-2-2-21111-1-1-12-12200-111-1-1-11111-2-20222-1-1-2-21100000000-1-1-1-111110000000000-21112-1-1-1-2000200000000100-1
χ312222-2-222-12-2-2-2-2-12-1222-122-1-1-2-21122-1-1-2-2-2-21111-1-1-12-1-2-200-111-1-1-11111220-2-2-21122-1-1000000001111-1-1-1-100000000002-1-1-1-2111-2000200000000100-1
χ322222-2-222-12-2-2-2-2-12-1222-122-1-1-2-21122-1-1-2-2-2-21111-1-1-12-1-2-200-111-1-1-11111-2202-2-21122-1-1000000001111-1-1-1-10000000000-21112-1-1-12000-200000000-1001
χ332222-2-22-122-2-2-2-2222-1-1-122-12-111-2-2-1-1221111-2-2-2-2-1-1-1-120022-111-1-1-1111120-2-200000000-1-11122-2-200000000-1-1-1-1111100-12-1-11-21102-200000000000-110
χ342222-2-22-122-2-2-2-2222-1-1-122-12-111-2-2-1-1221111-2-2-2-2-1-1-1-120022-111-1-1-11111-20-2200000000-1-11122-2-200000000-1-1-1-11111001-211-12-1-10-22000000000001-10
χ352222-2-22-122-2-2-2-2222-1-1-122-12-111-2-2-1-1221111-2-2-2-2-1-1-1-1200-2-2-111-1-1-11111202-20000000011-1-1-2-222000000001111-1-1-1-100-12-1-11-2110-22000000000001-10
χ362222-2-22-122-2-2-2-2222-1-1-122-12-111-2-2-1-1221111-2-2-2-2-1-1-1-1200-2-2-111-1-1-11111-20220000000011-1-1-2-222000000001111-1-1-1-1001-211-12-1-102-200000000000-110
χ372222-2-2-122-111112-122222-1-1-12-2-2-2-2-1-1-1-111111111222-1-12222-1-2-2-1-1-111110-2-20-1-12211-2-222-2-2-1-111-1-1-1-11111-1-1-1-111112200000000000-20-1-11100000000
χ382222-2-2-122-111112-122222-1-1-12-2-2-2-2-1-1-1-111111111222-1-122-2-2-1-2-2-1-1-111110-220-1-12211-2-2-2-22211-1-1-1-1-1-111111111-1-1-1-1-2-2000000000002011-1-100000000
χ392222-2-2-122-111112-122222-1-1-12-2-2-2-2-1-1-1-111111111222-1-1-2-222-1-2-2-1-1-1111102-2011-2-2-1-12222-2-2-1-1111111-1-1-1-1-1-1-1-11111-2-2000000000002011-1-100000000
χ402222-2-2-122-111112-122222-1-1-12-2-2-2-2-1-1-1-111111111222-1-1-2-2-2-2-1-2-2-1-1-11111022011-2-2-1-122-2-22211-1-11111-1-1-1-11111-1-1-1-12200000000000-20-1-11100000000
χ412-22-200222-20000-2222-2-2-2-222200002-2-2-2000000002-2-2-222-22i−2i2002-2-2000000002-22-200002i−2i002i−2i0022-2-200002i2i−2i−2i00002i−2i00000000000002i−2i0000000000
χ422-22-200222-20000-2222-2-2-2-222200002-2-2-2000000002-2-2-222-2−2i2i2002-2-2000000002-22-20000−2i2i00−2i2i0022-2-20000−2i−2i2i2i0000−2i2i0000000000000−2i2i0000000000
χ432-22-200222-20000-2222-2-2-2-222200002-2-2-2000000002-2-2-22-222i−2i2002-2-200000000-22-2200002i−2i002i−2i00-2-22200002i2i−2i−2i0000−2i2i0000000000000−2i2i0000000000
χ442-22-200222-20000-2222-2-2-2-222200002-2-2-2000000002-2-2-22-22−2i2i2002-2-200000000-22-220000−2i2i00−2i2i00-2-2220000−2i−2i2i2i00002i−2i00000000000002i−2i0000000000
χ452-22-200-1221−i3−i3i3i3-2-122-2-2-21-1-120000-1111−i3−i3i3i3−i3−i3i3i32-2-21-12-22i−2i-100-111−i3−i3i3i30000-112-2−i3i3002i−2i00−ii3−3-1-111−i3−i3i3i3−i−iii33−3−32i−2i0000000000000−ii3−300000000
χ462-22-200-1221−i3−i3i3i3-2-122-2-2-21-1-120000-1111−i3−i3i3i3−i3−i3i3i32-2-21-12-2−2i2i-100-111−i3−i3i3i30000-112-2−i3i300−2i2i00i−i−33-1-111−i3−i3i3i3ii−i−i−3−333−2i2i0000000000000i−i−3300000000
χ472-22-200-1221−i3−i3i3i3-2-122-2-2-21-1-120000-1111−i3−i3i3i3−i3−i3i3i32-2-21-1-222i−2i-100-111−i3−i3i3i300001-1-22i3−i3002i−2i00−ii3−311-1-1i3i3−i3−i3−i−iii33−3−3−2i2i0000000000000i−i−3300000000
χ482-22-200-1221−i3−i3i3i3-2-122-2-2-21-1-120000-1111−i3−i3i3i3−i3−i3i3i32-2-21-1-22−2i2i-100-111−i3−i3i3i300001-1-22i3−i300−2i2i00i−i−3311-1-1i3i3−i3−i3ii−i−i−3−3332i−2i0000000000000−ii3−300000000
χ492-22-200-1221i3i3−i3−i3-2-122-2-2-21-1-120000-1111i3i3−i3−i3i3i3−i3−i32-2-21-12-22i−2i-100-111i3i3−i3−i30000-112-2i3−i3002i−2i00−ii−33-1-111i3i3−i3−i3−i−iii−3−3332i−2i0000000000000−ii−3300000000
χ502-22-200-1221i3i3−i3−i3-2-122-2-2-21-1-120000-1111i3i3−i3−i3i3i3−i3−i32-2-21-12-2−2i2i-100-111i3i3−i3−i30000-112-2i3−i300−2i2i00i−i3−3-1-111i3i3−i3−i3ii−i−i33−3−3−2i2i0000000000000i−i3−300000000
χ512-22-200-1221i3i3−i3−i3-2-122-2-2-21-1-120000-1111i3i3−i3−i3i3i3−i3−i32-2-21-1-222i−2i-100-111i3i3−i3−i300001-1-22−i3i3002i−2i00−ii−3311-1-1−i3−i3i3i3−i−iii−3−333−2i2i0000000000000i−i3−300000000
χ522-22-200-1221i3i3−i3−i3-2-122-2-2-21-1-120000-1111i3i3−i3−i3i3i3−i3−i32-2-21-1-22−2i2i-100-111i3i3−i3−i300001-1-22−i3i300−2i2i00i−i3−311-1-1−i3−i3i3i3ii−i−i33−3−32i−2i0000000000000−ii−3300000000
χ532-2-222-2222-22-22-2-2-2-2-22-2222222-22-2-2-22-22-22-22-22-2-2-222-2000022-2-22-22-22-200000000000000000000000000000000000000000000000000000002-22-20000
χ542-2-222-2222-22-22-2-2-2-2-22-2222222-22-2-2-22-22-22-22-22-2-2-222-2000022-2-22-22-22-20000000000000000000000000000000000000000000000000000000-22-220000
χ552-2-22-22222-2-22-22-2-2-2-22-222222-22-22-2-22-2-22-22-22-22-2-222-200002-22-22-2-22-2200000000000000000000000000000000000000000000000000000002-2-220000
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χ574444444-2-244444-24-2-2-2-2-24-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111-2-20000111111111140040000000000000000000000000000000000-2-211-2-21100000000000000000
χ584444444-2-244444-24-2-2-2-2-24-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111-2-200001111111111-400-4000000000000000000000000000000000022-1-122-1-100000000000000000
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χ61444444-2-24-2-2-2-2-24-24-2-2-24-21-2-2-2-24411-2-21111-2-2-2-2-2-2-21-200441-2-21111111004000000000-2-2-2-2-2-2-2-20000000011111111000000000000000000000000000
χ62444444-2-24-2-2-2-2-24-24-2-2-24-21-2-2-2-24411-2-21111-2-2-2-2-2-2-21-200-4-41-2-2111111100-40000000002222222200000000-1-1-1-1-1-1-1-1000000000000000000000000000
χ634444-4-44-2-24-4-4-4-4-24-2-2-2-2-24-2-212222-2-2-2-222222222111-2-200001-1-1111-1-1-1-1400-40000000000000000000000000000000000-2-21122-1-100000000000000000
χ644444-4-44-2-24-4-4-4-4-24-2-2-2-2-24-2-212222-2-2-2-222222222111-2-200001-1-1111-1-1-1-1-4004000000000000000000000000000000000022-1-1-2-21100000000000000000
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χ664444-4-4-24-2-22222-2-2-2444-2-2-21-2-4-422-2-2112222-1-1-1-1-2-2-2-21-4-400122111-1-1-1-104002222-2-2-2-200000000-1-1-1-1111100000000000000000000000000000000000
χ674444-4-4-2-24-222224-24-2-2-24-21-2-222-4-411-2-2-1-1-1-12222-2-2-21-20044122111-1-1-1-100-4000000000-2-222-2-222000000001111-1-1-1-1000000000000000000000000000
χ684444-4-4-2-24-222224-24-2-2-24-21-2-222-4-411-2-2-1-1-1-12222-2-2-21-200-4-4122111-1-1-1-100400000000022-2-222-2-200000000-1-1-1-11111000000000000000000000000000
χ6944-4-400444400004-4-4-4-44-4-44440000-44-4400000000-44-4-4-40000400-4-440000000000000000000000000000000000000000000000000000000000000000000
χ7044-4-40044-240000-2-42-4-442-44-2-20000-442-2000000002-22-420000-20022-20000000000000023−2300000000000023−2323−2300000000000000000000000000000000000
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χ114888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4222222222222222220000-122-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000000
χ1158888-8-8-4-4-4-44444-4-4-4-4-4-4-4-422244442222-2-2-2-2-2-2-2-2222220000-1-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000000000
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χ11788-8-800-4-4-4-4−4i34i34i3−4i3-44444-4442220000-22-222i3−2i3−2i32i32i3−2i3−2i32i3-22-2-2-20000-10011-1−i3i3i3−i3000000000000000000000000000000000000000000000000000000000000000
χ11888-8-800-4-4-4-44i3−4i3−4i34i3-44444-4442220000-22-22−2i32i32i3−2i3−2i32i32i3−2i3-22-2-2-20000-10011-1i3−i3−i3i3000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8008-4-4-8000048-4-4444-8-4-420000-4444000000002-2-24-400002002-2-20000000000000000000000000000000000000000000000000000000000000000000
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χ1218-88-800-4-4-444i34i3−4i3−4i34-4-4-4444422200002-2-2-2−2i3−2i32i32i3−2i3−2i32i32i32-2-2-220000-100-111i3i3−i3−i3000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).