Finite Group Databasebeta

← Group #11779381

Character table — Group #11779381

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222222222444444444444444444488888888888888888888881212121212121212121212122424242424242424242424243636484848727272
order1222334444666666121212123444666121212121212121212121212412121212121212121212121212121212121212121288882424242424242424888824242424242424244441212222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111
χ5111111111111111111111-1-11111111111111111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1111111-1-1-11-1-1
χ6111111111111111111111-1-11111111111111111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ7111111111111111111111-1-11111111111111111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111111111111-1-11111111111111111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1
χ92222222-22-22222222222200-222222-2-2-22222-2-2-20000000-200-2-2-2-20000000000000000000000000000000022000-200
χ102222222-22-22222222222200-222222-2-2-22222-2-2-20000000-200-2-2-2-200000000000000000000000000000000-2-2000200
χ11222222-22-22222222-2-2-2-2222-2222-2-2222-2-2-2-2-2-22-22222-2-2-2-2-222-2-22222-2-2-2-200000000000000000000000000000000
χ12222222-22-22222222-2-2-2-22-2-2-2222-2-2222-2-2-2-2-2-222-2-2-2-222-22222-2-2-2-2-2-2222200000000000000000000000000000000
χ13222222-2-2-2-2222222-2-2-2-22002222-2-2-2-2-2-2-2-2-222-20000000200-2-222000000000000000000000000000000000000002-2
χ14222222-2-2-2-2222222-2-2-2-22002222-2-2-2-2-2-2-2-2-222-20000000200-2-22200000000000000000000000000000000000000-22
χ1522222-122222-122-1-12222-1222-1-1-1-1-122-1-1-1-1-122-1222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000220000-1-1-1-1002-1-1000
χ1622222-122222-122-1-12222-1222-1-1-1-1-122-1-1-1-1-122-1222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-20000111100-211000
χ1722222-122222-122-1-12222-1-2-22-1-1-1-1-122-1-1-1-1-122-1-2-2-211-2-2-111-1-1-1-11111111100000000000000220000-1-1-1-100-211000
χ1822222-122222-122-1-12222-1-2-22-1-1-1-1-122-1-1-1-1-122-1-2-2-211-2-2-111-1-1-1-11111111100000000000000-2-200001111002-1-1000
χ1922222-1-22-222-122-1-1-2-2-2-2-122-2-1-1-11122-11111-2-2-1-222-1-1-2-2111-1-111-1-1-1-1111100000000000000000000−i3−i3i3i3000−i3i3000
χ2022222-1-22-222-122-1-1-2-2-2-2-122-2-1-1-11122-11111-2-2-1-222-1-1-2-2111-1-111-1-1-1-1111100000000000000000000i3i3−i3−i3000i3−i3000
χ2122222-1-22-222-122-1-1-2-2-2-2-1-2-2-2-1-1-11122-11111-2-2-12-2-211221-1-1-1-1111111-1-1-1-100000000000000000000−i3−i3i3i3000i3−i3000
χ2222222-1-22-222-122-1-1-2-2-2-2-1-2-2-2-1-1-11122-11111-2-2-12-2-211221-1-1-1-1111111-1-1-1-100000000000000000000i3i3−i3−i3000−i3i3000
χ232222-122222-12-1-122-1-1-1-1-1222-1-1-122-1-12-1-1-1-1-1-122-1-122-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12200-1-1-1-1000000000000
χ242222-122222-12-1-122-1-1-1-1-1222-1-1-122-1-12-1-1-1-1-1-122-1-122-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2001111000000000000
χ252222-122222-12-1-122-1-1-1-1-1-2-22-1-1-122-1-12-1-1-1-1-1-12-211-2-2112-2-2-1-1-1-1111111112222-1-1-1-1-1-1-1-1-2-2001111000000000000
χ262222-122222-12-1-122-1-1-1-1-1-2-22-1-1-122-1-12-1-1-1-1-1-12-211-2-2112-2-2-1-1-1-111111111-2-2-2-2111111112200-1-1-1-1000000000000
χ272222-12-22-22-12-1-1221111-122-2-1-1-1-2-2-1-121111112-2-1-12211-2-2-2-1-111-1-1-1-1111100003333−3−3−3−3000033−3−3000000000000
χ282222-12-22-22-12-1-1221111-122-2-1-1-1-2-2-1-121111112-2-1-12211-2-2-2-1-111-1-1-1-111110000−3−3−3−333330000−3−333000000000000
χ292222-12-22-22-12-1-1221111-1-2-2-2-1-1-1-2-2-1-121111112211-2-2-1-1-222-1-1111111-1-1-1-100003333−3−3−3−30000−3−333000000000000
χ302222-12-22-22-12-1-1221111-1-2-2-2-1-1-1-2-2-1-121111112211-2-2-1-1-222-1-1111111-1-1-1-10000−3−3−3−33333000033−3−3000000000000
χ3122-2-222-202022-2-2-2-2-2-22220002-2-22-200022-2-20000000000000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2002−200002−22−22i−2i000000
χ3222-2-222-202022-2-2-2-2-2-22220002-2-22-200022-2-20000000000000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200−220000−22−22−2i2i000000
χ3322-2-222-202022-2-2-2-2-2-22220002-2-22-200022-2-20000000000000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2002−200002−22−2−2i2i000000
χ3422-2-222-202022-2-2-2-2-2-22220002-2-22-200022-2-20000000000000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200−220000−22−222i−2i000000
χ352-2-2222020-2-2-22-22-2000022-20-22-2002-22000000-202-22-2000002-20022-2-20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200−i2i2−i2i2000000000000
χ362-2-2222020-2-2-22-22-2000022-20-22-2002-22000000-202-22-2000002-20022-2-20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200i2−i2i2−i2000000000000
χ372-2-2222020-2-2-22-22-200002-220-22-2002-22000000-20-22-22000002-200-2-2220000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i200i2−i2i2−i2000000000000
χ382-2-2222020-2-2-22-22-200002-220-22-2002-22000000-20-22-22000002-200-2-2220000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i200−i2i2−i2i2000000000000
χ392-2-22-12020-21-2-112-23−33−3-12-201-1100-1123−33−33−3-20-112-23−3000-113−3-1-11133−3−3−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−i2i200ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ402-2-22-12020-21-2-112-23−33−3-12-201-1100-1123−33−33−3-20-112-23−3000-113−3-1-11133−3−3i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23i2−i200−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ412-2-22-12020-21-2-112-23−33−3-1-2201-1100-1123−33−33−3-201-1-22−33000-113−311-1-1−3−333−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23i2−i200−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ422-2-22-12020-21-2-112-23−33−3-1-2201-1100-1123−33−33−3-201-1-22−33000-113−311-1-1−3−333i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−i2i200ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ432-2-22-12020-21-2-112-2−33−33-12-201-1100-112−33−33−33-20-112-2−33000-11−33-1-111−3−333−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−i2i200ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ442-2-22-12020-21-2-112-2−33−33-12-201-1100-112−33−33−33-20-112-2−33000-11−33-1-111−3−333i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7i2−i200−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ452-2-22-12020-21-2-112-2−33−33-1-2201-1100-112−33−33−33-201-1-223−3000-11−3311-1-133−3−3−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7i2−i200−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ462-2-22-12020-21-2-112-2−33−33-1-2201-1100-112−33−33−33-201-1-223−3000-11−3311-1-133−3−3i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−i2i200ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ4744444-24-44-44-244-2-24444-200-4-2-2-2-2-2-4-42-2-2-2-2-4-42000000020022220000000000000000000000000000000000000000
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χ514444-2-24444-2-2-2-2-2-2-2-2-2-21444111-2-2-2-2-21111-2-2-24-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000
χ524444-2-24444-2-2-2-2-2-2-2-2-2-21-4-44111-2-2-2-2-21111-2-2-2-4222222-2221111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ534444-2-24-44-4-2-2-2-2-2-2-2-2-2-2100-4111-2-222211112220000000200-1-1-1-13-33-33-33-300000000000000000000000000000000
χ544444-2-24-44-4-2-2-2-2-2-2-2-2-2-2100-4111-2-222211112220000000200-1-1-1-1-33-33-33-3300000000000000000000000000000000
χ554444-2-2-44-44-2-2-2-2-2-22222144-411122-2-2-2-1-1-1-122-2-4-2-2-2-22222211-1-11111-1-1-1-100000000000000000000000000000000
χ564444-2-2-44-44-2-2-2-2-2-222221-4-4-411122-2-2-2-1-1-1-122-242222-2-22-2-211-1-1-1-1-1-1111100000000000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-22222100411122222-1-1-1-1-2-220000000-200-1-1113-33-3-33-3300000000000000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-22222100411122222-1-1-1-1-2-220000000-200-1-111-33-333-33-300000000000000000000000000000000
χ5944-4-44440-4044-4-4-4-444-4-440004-4-4-44000-4-444000000000000000000000000000000000000000000000000000000000
χ6044-4-44-240-404-2-4-42244-4-4-2000-2222-200022-2-2000000000000000000000000000000000000000000000i6−i6−i6i600000000
χ6144-4-44-240-404-2-4-42244-4-4-2000-2222-200022-2-2000000000000000000000000000000000000000000000−i6i6i6−i600000000
χ6244-4-44-2-40404-2-4-422-4-444-2000-222-22000-2-22200000000000000000000000000000000000000022−220000−22−2200000000
χ6344-4-44-2-40404-2-4-422-4-444-2000-222-22000-2-222000000000000000000000000000000000000000−222200002−22−200000000
χ6444-4-4-2440-40-2422-4-4-2-222-2000-222-4400022-2-200000000000000000000000000000i6i6−i6−i6−i6−i6i6i600000000000000000000
χ6544-4-4-2440-40-2422-4-4-2-222-2000-222-4400022-2-200000000000000000000000000000−i6−i6i6i6i6i6−i6−i600000000000000000000
χ6644-4-4-24-4040-2422-4-422-2-2-2000-2224-4000-2-2220000000000000000000000000−2i2−2i22i22i2i2i2−i2−i2i2i2−i2−i200000000000000000000
χ6744-4-4-24-4040-2422-4-422-2-2-2000-2224-4000-2-22200000000000000000000000002i22i2−2i2−2i2−i2−i2i2i2−i2−i2i2i200000000000000000000
χ684-44-4440000-4-4-44-4400004000-4-4400000000000000000000000000000000002-2-222-2-222-2-2200000000000000000000
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χ704-44-4-2400002-42-2-4423−23−2323-200022-200000−232323−2300000000000000000000000002-2-22−1+31−31−3−1+3−1−31+31+3−1−300000000000000000000
χ714-44-4-2400002-42-2-4423−23−2323-200022-200000−232323−230000000000000000000000000-222-21−3−1+3−1+31−31+3−1−3−1−31+300000000000000000000
χ724-44-4-2400002-42-2-44−232323−23-200022-20000023−23−232300000000000000000000000002-2-22−1−31+31+3−1−3−1+31−31−3−1+300000000000000000000
χ734-44-4-2400002-42-2-44−232323−23-200022-20000023−23−23230000000000000000000000000-222-21+3−1−3−1−31+31−3−1+3−1+31−300000000000000000000
χ744-4-44440-404-4-44-44-400004000-44-400-44-400000040000000000-44000000000000000000000000000000000000000000
χ754-4-444-2040-4-424-4-220000-24-402-22004-4-2000000204-4-2200000-2200-2-222000000000000000000000000000000000000
χ764-4-444-2040-4-424-4-220000-2-4402-22004-4-200000020-442-200000-220022-2-2000000000000000000000000000000000000
χ774-4-444-20-404-424-4-220000-20002-2200-442000000-20000000023−232-200000023−23−232300000000000000000000000000000000
χ784-4-444-20-404-424-4-220000-20002-2200-442000000-200000000−23232-2000000−232323−2300000000000000000000000000000000
χ794-4-44-240-4042-4-224-423−2323−23-20002-22002-2-423−2323−23−2323400000000002-2−23230000000000000000000000000000000000000000
χ804-4-44-240-4042-4-224-4−2323−2323-20002-22002-2-4−2323−232323−23400000000002-223−230000000000000000000000000000000000000000
χ814-4-44-2-2040-422-22-2223−2323−2314-40-11-100-22-2−33−3323−2320-22-2223−230001-1−3311-1-1−3−33300000000000000000000000000000000
χ824-4-44-2-2040-422-22-2223−2323−231-440-11-100-22-2−33−3323−23202-22-2−23230001-1−33-1-11133−3−300000000000000000000000000000000
χ834-4-44-2-2040-422-22-22−2323−232314-40-11-100-22-23−33−3−232320-22-22−23230001-13−311-1-133−3−300000000000000000000000000000000
χ844-4-44-2-2040-422-22-22−2323−23231-440-11-100-22-23−33−3−2323202-22-223−230001-13−3-1-111−3−33300000000000000000000000000000000
χ854-4-44-2-20-40422-22-2223−2323−231000-11-1002-22−33−33−2323-20000000023−23-113−3-333-3−333−300000000000000000000000000000000
χ864-4-44-2-20-40422-22-2223−2323−231000-11-1002-22−33−33−2323-200000000−2323-113−33-3-333−3−3300000000000000000000000000000000
χ874-4-44-2-20-40422-22-22−2323−23231000-11-1002-223−33−323−23-20000000023−23-11−333-3-33−333−300000000000000000000000000000000
χ884-4-44-2-20-40422-22-22−2323−23231000-11-1002-223−33−323−23-200000000−2323-11−33-333-33−3−3300000000000000000000000000000000
χ8988-8-8-4-480-80-4-44444-4-44420002-2-24-4000-2-222000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-4-8080-4-4444444-4-420002-2-2-4400022-2-2000000000000000000000000000000000000000000000000000000000
χ918-88-88-40000-84-884-40000-400044-4000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-40000444-44-443−43−43432000-2-220000023−23−2323000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-40000444-44-4−434343−432000-2-2200000−232323−23000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.