Finite Group Databasebeta

← Group #11779727

Character table — Group #11779727

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222222244444444444444444444444888888888888888888881212121212121212121212121212121212122424242424242424242424242424247272144
order1222334444666666121212122234666666612121212121212121212121246666661212121212121212121212121222666688882424242424242424224666688121224242424884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-111-1-11111-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111111111111111-1-11-1-1-1-1-1-111-1-1-1-111-1
χ611111111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-11
χ711111111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-1-1-1-1-11
χ811111111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1111111-1
χ92222222-22-22222222222002-20000222-2-222-2-22222-2-20000000-20000-2-2-2-2000022222200000000000000-2000000-2-20000000
χ102222222-22-22222222222002-20000222-2-222-2-22222-2-20000000-20000-2-2-2-20000-2-2-2-2-2-2000000000000002000000220000000
χ11222222-22-22222222-2-2-2-2222-2222222222-2-222-2-2-2-2-2-2-2222222-2-2-2-2-222-2-2-2-2-2-2000000000000000000000000000000000000
χ12222222-22-22222222-2-2-2-2-2-22-2-2-2-2-222222-2-222-2-2-2-2-2-22-2-2-2-2-2-2-2222222-2-22222000000000000000000000000000000000000
χ13222222-2-2-2-2222222-2-2-2-200220000222-2-2-2-2-2-2-2-2-2-222000000020000-2-22200000000000000000000002-2022-2-200000000000
χ14222222-2-2-2-2222222-2-2-2-200220000222-2-2-2-2-2-2-2-2-2-222000000020000-2-2220000000000000000000000-220-2-22200000000000
χ1522222-1222222-12-1-1222222-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1000000000000222-1-1-1-100-1-10000000
χ1622222-1222222-12-1-1222222-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-21111000000000000-2-2-2111100110000000
χ1722222-1222222-12-1-12222-2-2-121111-1-1-122-1-1-1-1-1-1-1-122-2-2-21111-1-2-211-1-1-1-1111122-1-1-1-1000000000000-2-22111100-1-10000000
χ1822222-1222222-12-1-12222-2-2-121111-1-1-122-1-1-1-1-1-1-1-122-2-2-21111-1-2-211-1-1-1-11111-2-2111100000000000022-2-1-1-1-100110000000
χ1922222-12-22-222-12-1-1222200-1-2−i3−i3i3i3-1-1-1-2-2-1-111-1-1-1-1-2-2000−i3−i3i3i3100−i3i31111−i3−i3i3i322-1-1-1-100000000000000-2−i3i3−i3i300110000000
χ2022222-12-22-222-12-1-1222200-1-2−i3−i3i3i3-1-1-1-2-2-1-111-1-1-1-1-2-2000−i3−i3i3i3100−i3i31111−i3−i3i3i3-2-21111000000000000002i3−i3i3−i300-1-10000000
χ2122222-12-22-222-12-1-1222200-1-2i3i3−i3−i3-1-1-1-2-2-1-111-1-1-1-1-2-2000i3i3−i3−i3100i3−i31111i3i3−i3−i322-1-1-1-100000000000000-2i3−i3i3−i300110000000
χ2222222-12-22-222-12-1-1222200-1-2i3i3−i3−i3-1-1-1-2-2-1-111-1-1-1-1-2-2000i3i3−i3−i3100i3−i31111i3i3−i3−i3-2-21111000000000000002−i3i3−i3i300-1-10000000
χ2322222-1-22-2222-12-1-1-2-2-2-222-1-2-1-1-1-1-1-1-12211-1-11111-2-2-222-1-1-1-11-2-211-1-111111100−i3−i3i3i3000000000000000−i3i3i3−i300−i3i30000000
χ2422222-1-22-2222-12-1-1-2-2-2-222-1-2-1-1-1-1-1-1-12211-1-11111-2-2-222-1-1-1-11-2-211-1-111111100i3i3−i3−i3000000000000000i3−i3−i3i300i3−i30000000
χ2522222-1-22-2222-12-1-1-2-2-2-2-2-2-1-21111-1-1-12211-1-11111-2-22-2-21111122-1-1-1-111-1-1-1-100−i3−i3i3i3000000000000000i3−i3−i3i300−i3i30000000
χ2622222-1-22-2222-12-1-1-2-2-2-2-2-2-1-21111-1-1-12211-1-11111-2-22-2-21111122-1-1-1-111-1-1-1-100i3i3−i3−i3000000000000000−i3i3i3−i300i3−i30000000
χ2722222-1-2-2-2-222-12-1-1-2-2-2-200-12−i3−i3i3i3-1-1-1-2-21111111122000−i3−i3i3i3-100i3−i311-1-1i3i3−i3−i300−i3−i3i3i30000000000002-20-1-11100i3−i30000000
χ2822222-1-2-2-2-222-12-1-1-2-2-2-200-12−i3−i3i3i3-1-1-1-2-21111111122000−i3−i3i3i3-100i3−i311-1-1i3i3−i3−i300i3i3−i3−i3000000000000-22011-1-100−i3i30000000
χ2922222-1-2-2-2-222-12-1-1-2-2-2-200-12i3i3−i3−i3-1-1-1-2-21111111122000i3i3−i3−i3-100−i3i311-1-1−i3−i3i3i300−i3−i3i3i3000000000000-22011-1-100i3−i30000000
χ3022222-1-2-2-2-222-12-1-1-2-2-2-200-12i3i3−i3−i3-1-1-1-2-21111111122000i3i3−i3−i3-100−i3i311-1-1−i3−i3i3i300i3i3−i3−i30000000000002-20-1-11100−i3i30000000
χ312222-122222-1-12-122-1-1-1-122-122222-1-1-1-1-12222-1-1-1-1-1-12-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-10000002222-1-1-1-1-1-1-1-100000002200-1-1-1-1000
χ322222-122222-1-12-122-1-1-1-122-122222-1-1-1-1-12222-1-1-1-1-1-12-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1000000-2-2-2-2111111110000000-2-2001111000
χ332222-122222-1-12-122-1-1-1-1-2-2-12-2-2-2-2-1-1-1-1-12222-1-1-1-1-1-1-2111111211-2-2-1-1-1-111110000002222-1-1-1-1-1-1-1-10000000-2-2001111000
χ342222-122222-1-12-122-1-1-1-1-2-2-12-2-2-2-2-1-1-1-1-12222-1-1-1-1-1-1-2111111211-2-2-1-1-1-11111000000-2-2-2-21111111100000002200-1-1-1-1000
χ352222-12-22-22-1-12-122111122-1-22222-1-1-1-1-1-2-222111111-2-1-1-1-1-1-1-211-2-2-1-111111100000000003333−3−3−3−30000000000033−3−3000
χ362222-12-22-22-1-12-122111122-1-22222-1-1-1-1-1-2-222111111-2-1-1-1-1-1-1-211-2-2-1-11111110000000000−3−3−3−3333300000000000−3−333000
χ372222-12-22-22-1-12-1221111-2-2-1-2-2-2-2-2-1-1-1-1-1-2-2221111112111111-2-1-122-1-111-1-1-1-100000000003333−3−3−3−300000000000−3−333000
χ382222-12-22-22-1-12-1221111-2-2-1-2-2-2-2-2-1-1-1-1-1-2-2221111112111111-2-1-122-1-111-1-1-1-10000000000−3−3−3−333330000000000033−3−3000
χ392-22-22220-20-2-2-222-222-2-200200000-2-22002-20022-2-200000000000000000000002-22-22-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000−i2i20
χ402-22-22220-20-2-2-222-222-2-200200000-2-22002-20022-2-200000000000000000000002-22-22-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000i2−i20
χ412-22-22220-20-2-2-222-222-2-200200000-2-22002-20022-2-20000000000000000000000-22-22-22−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000i2−i20
χ422-22-22220-20-2-2-222-222-2-200200000-2-22002-20022-2-20000000000000000000000-22-22-22i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000−i2i20
χ432-2-22220-2022-2-2-2-2200002-2202-22-22-2-22-2002-200000002-22-22-2000002-20000000000002−22−22−22−22−22−200000002−2002−22−2000
χ442-2-22220-2022-2-2-2-2200002-2202-22-22-2-22-2002-200000002-22-22-2000002-2000000000000−22−22−22−22−22−220000000−2200−22−22000
χ452-2-22220-2022-2-2-2-220000-2220-22-222-2-22-2002-20000000-22-22-22000002-20000000000002−22−22−22−22−22−20000000−2200−22−22000
χ462-2-22220-2022-2-2-2-220000-2220-22-222-2-22-2002-20000000-22-22-22000002-2000000000000−22−22−22−22−22−2200000002−2002−22−2000
χ472-2-22-120-202-11-21-223−33−32-2-102-22-2-111-11002-23−33−33−30-11-11-1103−300-113−33−33−30000002−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ2300000002−200ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000
χ482-2-22-120-202-11-21-223−33−32-2-102-22-2-111-11002-23−33−33−30-11-11-1103−300-113−33−33−3000000−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ230000000−2200−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000
χ492-2-22-120-202-11-21-223−33−3-22-10-22-22-111-11002-23−33−33−301-11-11-10−3300-113−3−33−330000002−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ230000000−2200−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000
χ502-2-22-120-202-11-21-223−33−3-22-10-22-22-111-11002-23−33−33−301-11-11-10−3300-113−3−33−33000000−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ2300000002−200ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000
χ512-2-22-120-202-11-21-22−33−332-2-102-22-2-111-11002-2−33−33−330-11-11-110−3300-11−33−33−330000002−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ700000002−200ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000
χ522-2-22-120-202-11-21-22−33−332-2-102-22-2-111-11002-2−33−33−330-11-11-110−3300-11−33−33−33000000−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ70000000−2200−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000
χ532-2-22-120-202-11-21-22−33−33-22-10-22-22-111-11002-2−33−33−3301-11-11-103−300-11−333−33−30000002−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ70000000−2200−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000
χ542-2-22-120-202-11-21-22−33−33-22-10-22-22-111-11002-2−33−33−3301-11-11-103−300-11−333−33−3000000−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ700000002−200ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000
χ554444-244-44-4-2-24-244-2-2-2-200-2-40000-2-2-22244-4-4-2-2-2-2220000000-4000022220000000000000000000000000000000000000000
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χ584444-2-24444-2-2-2-2-2-2-2-2-2-2-4-4142222111-2-2-2-2-2-21111-2-2-422-1-1-1-1-222221111-1-1-1-1000000000000000000000000000000000000
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χ604444-2-24-44-4-2-2-2-2-2-2-2-2-2-2001-42i32i3−2i3−2i311122-2-222111122000−i3−i3i3i32002i3−2i3-1-1-1-1−i3−i3i3i3000000000000000000000000000000000000
χ614444-2-2-44-44-2-2-2-2-2-22222441-4-2-2-2-2111-2-222-2-2-1-1-1-122-4-2-211112222211-1-1-1-1-1-1000000000000000000000000000000000000
χ624444-2-2-44-44-2-2-2-2-2-22222-4-41-42222111-2-222-2-2-1-1-1-122422-1-1-1-12-2-2-2-211-1-11111000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-222220014−2i3−2i32i32i3111222222-1-1-1-1-2-2000i3i3−i3−i3-2002i3−2i3-1-111−i3−i3i3i3000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-2222200142i32i3−2i3−2i3111222222-1-1-1-1-2-2000−i3−i3i3i3-200−2i32i3-1-111i3i3−i3−i3000000000000000000000000000000000000
χ6544-4-4440000-444-4-4-4000000400000-44-4000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i000000000000000000
χ6644-4-4440000-444-4-4-4000000400000-44-400000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i000000000000000000
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χ884-4-44-2-2040-4-22222-223−2323−2300102i3−2i3−2i32i31-1-12-2002-2−33−33−2323000−i3i3i3−i300000-113−33i−3i−3i3i000000000000000000000000000000000000
χ894-4-44-2-2040-4-22222-2−2323−23230010−2i32i32i3−2i31-1-12-2002-23−33−323−23000i3−i3−i3i300000-11−333i−3i−3i3i000000000000000000000000000000000000
χ904-4-44-2-2040-4-22222-2−2323−232300102i3−2i3−2i32i31-1-12-2002-23−33−323−23000−i3i3i3−i300000-11−33−3i3i3i−3i000000000000000000000000000000000000
χ914-4-44-2-20-404-22222-223−2323−234-410-22-221-1-1-2200-22−33−3323−230-221-11-1023−23001-1−33−33−33000000000000000000000000000000000000
χ924-4-44-2-20-404-22222-223−2323−23-44102-22-21-1-1-2200-22−33−3323−2302-2-11-110−2323001-1−333−33−3000000000000000000000000000000000000
χ934-4-44-2-20-404-22222-2−2323−23234-410-22-221-1-1-2200-223−33−3−23230-221-11-10−2323001-13−33−33−3000000000000000000000000000000000000
χ944-4-44-2-20-404-22222-2−2323−2323-44102-22-21-1-1-2200-223−33−3−232302-2-11-11023−23001-13−3−33−33000000000000000000000000000000000000
χ9588-8-88-40000-88-4-844000000-4000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-400004-4-444443−43−434300200000-22-2000000−232323−230000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-400004-4-4444−434343−4300200000-22-200000023−23−23230000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-480-80444-4-44-4-44400200000-2-2200-440022-2-20000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4-8080444-4-4444-4-400200000-2-22004-400-2-2220000000000000000000000000000000000000000000000000000000000

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