Finite Group Databasebeta

← Group #11780202

Character table — Group #11780202

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222222222444444444444444444488888888888888888888881212121212121212121212122424242424242424242424243636484848727272
order1222334444666666121212123444666121212121212121212121212412121212121212121212121212121212121212121288882424242424242424888824242424242424242241212444
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
χ5111111111111111111111-1-11111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1111111-1-1-11-1-1
χ6111111111111111111111-1-11111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ7111111111111111111111-1-11111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111111111111-1-11111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1
χ92222222-22-22222222222200-222222-2-2-22222-2-2-20-200000000-2-2-2-20000000000000000000000000000000022000-200
χ102222222-22-22222222222200-222222-2-2-22222-2-2-20-200000000-2-2-2-200000000000000000000000000000000-2-2000200
χ11222222-22-22222222-2-2-2-2222-2222-2-2222-2-2-2-2-2-22-2-222-2-2-2-22222-2-22222-2-2-2-200000000000000000000000000000000
χ12222222-22-22222222-2-2-2-22-2-2-2222-2-2222-2-2-2-2-2-222-2-2-22222-2-222-2-2-2-2-2-2222200000000000000000000000000000000
χ13222222-2-2-2-2222222-2-2-2-22002222-2-2-2-2-2-2-2-2-222-20200000000-2-222000000000000000000000000000000000000002-2
χ14222222-2-2-2-2222222-2-2-2-22002222-2-2-2-2-2-2-2-2-222-20200000000-2-22200000000000000000000000000000000000000-22
χ1522222-122222-122-1-12222-1222-1-1-1-1-122-1-1-1-1-122-12-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000220000-1-1-1-1002-1-1000
χ1622222-122222-122-1-12222-1222-1-1-1-1-122-1-1-1-1-122-12-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-20000111100-211000
χ1722222-122222-122-1-12222-1-2-22-1-1-1-1-122-1-1-1-1-122-1-2-1-2-2-2-21111-1-1-1-11111111100000000000000220000-1-1-1-100-211000
χ1822222-122222-122-1-12222-1-2-22-1-1-1-1-122-1-1-1-1-122-1-2-1-2-2-2-21111-1-1-1-11111111100000000000000-2-200001111002-1-1000
χ1922222-1-22-222-122-1-1-2-2-2-2-122-2-1-1-11122-11111-2-2-1-2122-2-211-1-1-1-111-1-1-1-1111100000000000000000000−i3−i3i3i3000−i3i3000
χ2022222-1-22-222-122-1-1-2-2-2-2-122-2-1-1-11122-11111-2-2-1-2122-2-211-1-1-1-111-1-1-1-1111100000000000000000000i3i3−i3−i3000i3−i3000
χ2122222-1-22-222-122-1-1-2-2-2-2-1-2-2-2-1-1-11122-11111-2-2-121-2-222-1-111-1-1111111-1-1-1-100000000000000000000−i3−i3i3i3000i3−i3000
χ2222222-1-22-222-122-1-1-2-2-2-2-1-2-2-2-1-1-11122-11111-2-2-121-2-222-1-111-1-1111111-1-1-1-100000000000000000000i3i3−i3−i3000−i3i3000
χ232222-122222-12-1-122-1-1-1-1-1222-1-1-122-1-12-1-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12200-1-1-1-1000000000000
χ242222-122222-12-1-122-1-1-1-1-1222-1-1-122-1-12-1-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2001111000000000000
χ252222-122222-12-1-122-1-1-1-1-1-2-22-1-1-122-1-12-1-1-1-1-1-12-221111-2-2-2-2-1-1-1-1111111112222-1-1-1-1-1-1-1-1-2-2001111000000000000
χ262222-122222-12-1-122-1-1-1-1-1-2-22-1-1-122-1-12-1-1-1-1-1-12-221111-2-2-2-2-1-1-1-111111111-2-2-2-2111111112200-1-1-1-1000000000000
χ272222-12-22-22-12-1-1221111-122-2-1-1-1-2-2-1-121111112-2-2-1-111-2-222-1-111-1-1-1-1111100003333−3−3−3−3000033−3−3000000000000
χ282222-12-22-22-12-1-1221111-122-2-1-1-1-2-2-1-121111112-2-2-1-111-2-222-1-111-1-1-1-111110000−3−3−3−333330000−3−333000000000000
χ292222-12-22-22-12-1-1221111-1-2-2-2-1-1-1-2-2-1-1211111122-211-1-122-2-2-1-1111111-1-1-1-100003333−3−3−3−30000−3−333000000000000
χ302222-12-22-22-12-1-1221111-1-2-2-2-1-1-1-2-2-1-1211111122-211-1-122-2-2-1-1111111-1-1-1-10000−3−3−3−33333000033−3−3000000000000
χ3122-2-22220-2022-2-2-2-222-2-220002-2-22-200022-2-2000000000000000000000000022−2−222−2−222−2−2002−200002−22−22-2000000
χ3222-2-22220-2022-2-2-2-222-2-220002-2-22-200022-2-2000000000000000000000000022−2−222−2−222−2−200−220000−22−22-22000000
χ3322-2-22220-2022-2-2-2-222-2-220002-2-22-200022-2-20000000000000000000000000−2−222−2−222−2−222002−200002−22−2-22000000
χ3422-2-22220-2022-2-2-2-222-2-220002-2-22-200022-2-20000000000000000000000000−2−222−2−222−2−22200−220000−22−222-2000000
χ352-2-22220-202-2-22-2-22000022-20-22-2002-2-20000002002-200002-22-20022-2-200002−22−22−22−22−22−22−2002−22−2000000000000
χ362-2-22220-202-2-22-2-22000022-20-22-2002-2-20000002002-200002-22-20022-2-20000−22−22−22−22−22−22−2200−22−22000000000000
χ372-2-22220-202-2-22-2-2200002-220-22-2002-2-2000000200-220000-222-200-2-22200002−22−22−22−22−22−2−2200−22−22000000000000
χ382-2-22220-202-2-22-2-2200002-220-22-2002-2-2000000200-220000-222-200-2-2220000−22−22−22−22−22−222−2002−22−2000000000000
χ392-2-22-120-2021-2-11-223−33−3-12-201-1100-11-23−33−33−3200-113−3002-2-113−3-1-11133−3−32−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ232−200ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ402-2-22-120-2021-2-11-223−33−3-12-201-1100-11-23−33−33−3200-113−3002-2-113−3-1-11133−3−3−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−2200−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ412-2-22-120-2021-2-11-223−33−3-1-2201-1100-11-23−33−33−32001-1−3300-22-113−311-1-1−3−3332−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−2200−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ422-2-22-120-2021-2-11-223−33−3-1-2201-1100-11-23−33−33−32001-1−3300-22-113−311-1-1−3−333−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ232−200ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ432-2-22-120-2021-2-11-22−33−33-12-201-1100-11-2−33−33−33200-11−33002-2-11−33-1-111−3−3332−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ72−200ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ442-2-22-120-2021-2-11-22−33−33-12-201-1100-11-2−33−33−33200-11−33002-2-11−33-1-111−3−333−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−2200−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ452-2-22-120-2021-2-11-22−33−33-1-2201-1100-11-2−33−33−332001-13−300-22-11−3311-1-133−3−32−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−2200−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ462-2-22-120-2021-2-11-22−33−33-1-2201-1100-11-2−33−33−332001-13−300-22-11−3311-1-133−3−3−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ72−200ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ4744444-24-44-44-244-2-24444-200-4-2-2-2-2-2-4-42-2-2-2-2-4-42020000000022220000000000000000000000000000000000000000
χ4844444-2-4-4-4-44-244-2-2-4-4-4-4-2004-2-2-222-4-4222224420-20000000022-2-20000000000000000000000000000000000000000
χ494444-244-44-4-24-2-244-2-2-2-2-200-4-2-2-24422-4-2-2-2-222-40-40000000022220000000000000000000000000000000000000000
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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
χ524444-2-24444-2-2-2-2-2-2-2-2-2-21-4-44111-2-2-2-2-21111-2-2-2-4-2222222221111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ534444-2-24-44-4-2-2-2-2-2-2-2-2-2-2100-4111-2-222211112220200000000-1-1-1-13-33-33-33-300000000000000000000000000000000
χ544444-2-24-44-4-2-2-2-2-2-2-2-2-2-2100-4111-2-222211112220200000000-1-1-1-1-33-33-33-3300000000000000000000000000000000
χ554444-2-2-44-44-2-2-2-2-2-22222144-411122-2-2-2-1-1-1-122-2-42-2-22222-2-211-1-11111-1-1-1-100000000000000000000000000000000
χ564444-2-2-44-44-2-2-2-2-2-222221-4-4-411122-2-2-2-1-1-1-122-24222-2-2-2-22211-1-1-1-1-1-1111100000000000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-22222100411122222-1-1-1-1-2-220-200000000-1-1113-33-3-33-3300000000000000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-22222100411122222-1-1-1-1-2-220-200000000-1-111-33-333-33-300000000000000000000000000000000
χ5944-4-444-404044-4-4-4-4-4-44440004-4-4-44000-4-444000000000000000000000000000000000000000000000000000000000
χ6044-4-44-240-404-2-4-42244-4-4-2000-222-22000-2-22200000000000000000000000000000000000000022−220000−22−2200000000
χ6144-4-44-240-404-2-4-42244-4-4-2000-222-22000-2-222000000000000000000000000000000000000000−222200002−22−200000000
χ6244-4-44-2-40404-2-4-422-4-444-2000-2222-200022-2-2000000000000000000000000000000000000000000000i6−i6−i6i600000000
χ6344-4-44-2-40404-2-4-422-4-444-2000-2222-200022-2-2000000000000000000000000000000000000000000000−i6i6i6−i600000000
χ6444-4-4-2440-40-2422-4-4-2-222-2000-2224-4000-2-22200000000000000000000000002222−22−22−2−222−2−22200000000000000000000
χ6544-4-4-2440-40-2422-4-4-2-222-2000-2224-4000-2-2220000000000000000000000000−22−22222222−2−222−2−200000000000000000000
χ6644-4-4-24-4040-2422-4-422-2-2-2000-222-4400022-2-20000000000000000000000000000066−6−6−6−66600000000000000000000
χ6744-4-4-24-4040-2422-4-422-2-2-2000-222-4400022-2-200000000000000000000000000000−6−66666−6−600000000000000000000
χ684-44-4440000-4-4-444-400004000-4-4400000000000000000000000000000000002-2-222-2-222-2-2200000000000000000000
χ694-44-4440000-4-4-444-400004000-4-440000000000000000000000000000000000-222-2-222-2-222-200000000000000000000
χ704-44-4-2400002-42-24-423−23−2323-200022-20000023−23−232300000000000000000000000002-2-22−1+31−31−3−1+3−1−31+31+3−1−300000000000000000000
χ714-44-4-2400002-42-24-423−23−2323-200022-20000023−23−23230000000000000000000000000-222-21−3−1+3−1+31−31+3−1−3−1−31+300000000000000000000
χ724-44-4-2400002-42-24-4−232323−23-200022-200000−232323−2300000000000000000000000002-2-22−1−31+31+3−1−3−1+31−31−3−1+300000000000000000000
χ734-44-4-2400002-42-24-4−232323−23-200022-200000−232323−230000000000000000000000000-222-21+3−1−3−1−31+31−3−1+3−1+31−300000000000000000000
χ744-4-4444040-4-4-44-4-4400004000-44-400-444000000-40000000000-44000000000000000000000000000000000000000000
χ754-4-444-2040-4-424-42-20000-20002-2200-44-2000000200000023−23002-200000023−23−232300000000000000000000000000000000
χ764-4-444-2040-4-424-42-20000-20002-2200-44-20000002000000−2323002-2000000−232323−2300000000000000000000000000000000
χ774-4-444-20-404-424-42-20000-24-402-22004-42000000-2004-40000-22-2200-2-222000000000000000000000000000000000000
χ784-4-444-20-404-424-42-20000-2-4402-22004-42000000-200-4400002-2-220022-2-2000000000000000000000000000000000000
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χ814-4-44-2-2040-422-222-223−2323−231000-11-1002-2-2−33−33−2323200000023−2300-113−3-333-3−333−300000000000000000000000000000000
χ824-4-44-2-2040-422-222-223−2323−231000-11-1002-2-2−33−33−23232000000−232300-113−33-3-333−3−3300000000000000000000000000000000
χ834-4-44-2-2040-422-222-2−2323−23231000-11-1002-2-23−33−323−23200000023−2300-11−333-3-33−333−300000000000000000000000000000000
χ844-4-44-2-2040-422-222-2−2323−23231000-11-1002-2-23−33−323−232000000−232300-11−33-333-33−3−3300000000000000000000000000000000
χ854-4-44-2-20-40422-222-223−2323−2314-40-11-100-222−33−3323−23-200-2223−2300-221-1−3311-1-1−3−33300000000000000000000000000000000
χ864-4-44-2-20-40422-222-223−2323−231-440-11-100-222−33−3323−23-2002-2−2323002-21-1−33-1-11133−3−300000000000000000000000000000000
χ874-4-44-2-20-40422-222-2−2323−232314-40-11-100-2223−33−3−2323-200-22−232300-221-13−311-1-133−3−300000000000000000000000000000000
χ884-4-44-2-20-40422-222-2−2323−23231-440-11-100-2223−33−3−2323-2002-223−23002-21-13−3-1-111−3−33300000000000000000000000000000000
χ8988-8-8-4-480-80-4-44444-4-44420002-2-2-4400022-2-2000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-4-8080-4-4444444-4-420002-2-24-4000-2-222000000000000000000000000000000000000000000000000000000000
χ918-88-88-40000-84-88-440000-400044-4000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-40000444-4-4443−43−43432000-2-2200000−232323−23000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-40000444-4-44−434343−432000-2-220000023−23−2323000000000000000000000000000000000000000000000000000000000

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