Finite Group Databasebeta

← Group #11779879

Character table — Group #11779879

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
χ5111111111111111111111-1-11111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1111111-1-1-11-1-1
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
χ92222222-22-22222222222200-2222-2-2-2222222-2-2-20-200000000-2-2-2-20000000000000000000000000000000022000-200
χ102222222-22-22222222222200-2222-2-2-2222222-2-2-20-200000000-2-2-2-200000000000000000000000000000000-2-2000200
χ11222222-22-22222222-2-2-2-2222-2222222-2-2-2-2-2-2-2-22-2-22222-2-2-2-222-2-22222-2-2-2-200000000000000000000000000000000
χ12222222-22-22222222-2-2-2-22-2-2-2222222-2-2-2-2-2-2-2-222-2-2-2-2-2222222-2-2-2-2-2-2222200000000000000000000000000000000
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
χ1522222-12222222-1-1-12222-1222-1-1-122-1-1-1-1-1-1-122-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000220000-1-1-1-1002-1-1000
χ1622222-12222222-1-1-12222-1222-1-1-122-1-1-1-1-1-1-122-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-20000111100-211000
χ1722222-12222222-1-1-12222-1-2-22-1-1-122-1-1-1-1-1-1-122-1-2-1-2-211-2-211-1-1-1-11111111100000000000000220000-1-1-1-100-211000
χ1822222-12222222-1-1-12222-1-2-22-1-1-122-1-1-1-1-1-1-122-1-2-1-2-211-2-211-1-1-1-11111111100000000000000-2-200001111002-1-1000
χ1922222-1-22-22222-1-1-1-2-2-2-2-122-2-1-1-122-1111111-2-2-1-2122-1-1-2-211-1-111-1-1-1-1111100000000000000000000−i3−i3i3i3000−i3i3000
χ2022222-1-22-22222-1-1-1-2-2-2-2-122-2-1-1-122-1111111-2-2-1-2122-1-1-2-211-1-111-1-1-1-1111100000000000000000000i3i3−i3−i3000i3−i3000
χ2122222-1-22-22222-1-1-1-2-2-2-2-1-2-2-2-1-1-122-1111111-2-2-121-2-21122-1-1-1-1111111-1-1-1-100000000000000000000−i3−i3i3i3000i3−i3000
χ2222222-1-22-22222-1-1-1-2-2-2-2-1-2-2-2-1-1-122-1111111-2-2-121-2-21122-1-1-1-1111111-1-1-1-100000000000000000000i3i3−i3−i3000−i3i3000
χ232222-122222-1-1-1222-1-1-1-1-1222-1-1-1-1-1222-1-1-1-1-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12200-1-1-1-1000000000000
χ242222-122222-1-1-1222-1-1-1-1-1222-1-1-1-1-1222-1-1-1-1-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2001111000000000000
χ252222-122222-1-1-1222-1-1-1-1-1-2-22-1-1-1-1-1222-1-1-1-1-1-12-2211-2-211-2-2-1-1-1-1111111112222-1-1-1-1-1-1-1-1-2-2001111000000000000
χ262222-122222-1-1-1222-1-1-1-1-1-2-22-1-1-1-1-1222-1-1-1-1-1-12-2211-2-211-2-2-1-1-1-111111111-2-2-2-2111111112200-1-1-1-1000000000000
χ272222-12-22-22-1-1-12221111-122-2-1-1-1-1-12-2-21111112-2-2-1-12211-2-2-1-111-1-1-1-1111100003333−3−3−3−3000033−3−3000000000000
χ282222-12-22-22-1-1-12221111-122-2-1-1-1-1-12-2-21111112-2-2-1-12211-2-2-1-111-1-1-1-111110000−3−3−3−333330000−3−333000000000000
χ292222-12-22-22-1-1-12221111-1-2-2-2-1-1-1-1-12-2-211111122-211-2-2-1-122-1-1111111-1-1-1-100003333−3−3−3−30000−3−333000000000000
χ302222-12-22-22-1-1-12221111-1-2-2-2-1-1-1-1-12-2-211111122-211-2-2-1-122-1-1111111-1-1-1-10000−3−3−3−33333000033−3−3000000000000
χ312-22-22220-202-2-2-2-2222-2-220002-2-20002-222-2-2000000000000000000000000022−2−222−2−222−2−200−i2i20000−i2i2−i2i22i−2i000000
χ322-22-22220-202-2-2-2-2222-2-220002-2-20002-222-2-2000000000000000000000000022−2−222−2−222−2−200i2−i20000i2−i2i2−i2−2i2i000000
χ332-22-22220-202-2-2-2-2222-2-220002-2-20002-222-2-20000000000000000000000000−2−222−2−222−2−22200−i2i20000−i2i2−i2i2−2i2i000000
χ342-22-22220-202-2-2-2-2222-2-220002-2-20002-222-2-20000000000000000000000000−2−222−2−222−2−22200i2−i20000i2−i2i2−i22i−2i000000
χ352-2-2222020-2-22-22-2-2000022-20-22-22-2200000000-2002-22-200002-20022-2-20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200−i2i2−i2i2000000000000
χ362-2-2222020-2-22-22-2-2000022-20-22-22-2200000000-2002-22-200002-20022-2-20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200i2−i2i2−i2000000000000
χ372-2-2222020-2-22-22-2-200002-220-22-22-2200000000-200-22-2200002-200-2-2220000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i200i2−i2i2−i2000000000000
χ382-2-2222020-2-22-22-2-200002-220-22-22-2200000000-200-22-2200002-200-2-2220000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i200−i2i2−i2i2000000000000
χ392-2-22-12020-21-112-2-23−33−3-12-201-11-112003−33−33−3-200-112-23−300-113−3-1-11133−3−3−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−i2i200ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ402-2-22-12020-21-112-2-23−33−3-12-201-11-112003−33−33−3-200-112-23−300-113−3-1-11133−3−3i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23i2−i200−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ412-2-22-12020-21-112-2-23−33−3-1-2201-11-112003−33−33−3-2001-1-22−3300-113−311-1-1−3−333−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23i2−i200−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ422-2-22-12020-21-112-2-23−33−3-1-2201-11-112003−33−33−3-2001-1-22−3300-113−311-1-1−3−333i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−i2i200ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ432-2-22-12020-21-112-2-2−33−33-12-201-11-11200−33−33−33-200-112-2−3300-11−33-1-111−3−333−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−i2i200ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ442-2-22-12020-21-112-2-2−33−33-12-201-11-11200−33−33−33-200-112-2−3300-11−33-1-111−3−333i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7i2−i200−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ452-2-22-12020-21-112-2-2−33−33-1-2201-11-11200−33−33−33-2001-1-223−300-11−3311-1-133−3−3−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7i2−i200−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ462-2-22-12020-21-112-2-2−33−33-1-2201-11-11200−33−33−33-2001-1-223−300-11−3311-1-133−3−3i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−i2i200ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ4744444-24-44-4444-2-2-24444-200-4-2-2-2-4-42-2-2-2-2-2-2-4-42020000000022220000000000000000000000000000000000000000
χ4844444-2-4-4-4-4444-2-2-2-4-4-4-4-2004-2-2-2-4-422222224420-20000000022-2-20000000000000000000000000000000000000000
χ494444-244-44-4-2-2-2444-2-2-2-2-200-4-2-2-222-444-2-2-2-222-40-40000000022220000000000000000000000000000000000000000
χ504444-24-4-4-4-4-2-2-24442222-2004-2-2-222-4-4-42222-2-2-4040000000022-2-20000000000000000000000000000000000000000
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
χ534444-2-24-44-4-2-2-2-2-2-2-2-2-2-2100-4111222-2-211112220200000000-1-1-1-13-33-33-33-300000000000000000000000000000000
χ544444-2-24-44-4-2-2-2-2-2-2-2-2-2-2100-4111222-2-211112220200000000-1-1-1-1-33-33-33-3300000000000000000000000000000000
χ554444-2-2-44-44-2-2-2-2-2-22222144-4111-2-2-222-1-1-1-122-2-42-2-2-2-2222211-1-11111-1-1-1-100000000000000000000000000000000
χ564444-2-2-44-44-2-2-2-2-2-222221-4-4-4111-2-2-222-1-1-1-122-2422222-2-2-2-211-1-1-1-1-1-1111100000000000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-22222100411122222-1-1-1-1-2-220-200000000-1-1113-33-3-33-3300000000000000000000000000000000
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
χ5944-4-4440000-4-44-44-400004000-4-4400000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i00000000000000000000
χ6044-4-4440000-4-44-44-400004000-4-440000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ6144-4-4-24000022-2-44-423−23−2323-200022-20000023−23−232300000000000000000000000002i−2i−2i2i−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ2200000000000000000000
χ6244-4-4-24000022-2-44-423−23−2323-200022-20000023−23−23230000000000000000000000000−2i2i2i−2iζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ2200000000000000000000
χ6344-4-4-24000022-2-44-4−232323−23-200022-200000−232323−2300000000000000000000000002i−2i−2i2iζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ2200000000000000000000
χ6444-4-4-24000022-2-44-4−232323−23-200022-200000−232323−230000000000000000000000000−2i2i2i−2i−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ2200000000000000000000
χ654-44-444-40404-4-4-4-44-4-44440004-4-4000-44-4-444000000000000000000000000000000000000000000000000000000000
χ664-44-44-240-404-4-422-244-4-4-2000-222000-22-2-222000000000000000000000000000000000000000−2i22i20000i2−i2i2−i200000000
χ674-44-44-240-404-4-422-244-4-4-2000-222000-22-2-2220000000000000000000000000000000000000002i2−2i20000−i2i2−i2i200000000
χ684-44-44-2-40404-4-422-2-4-444-2000-2220002-222-2-20000000000000000000000000000000000000000000006−6−6600000000
χ694-44-44-2-40404-4-422-2-4-444-2000-2220002-222-2-2000000000000000000000000000000000000000000000−666−600000000
χ704-44-4-2440-40-222-4-44-2-222-2000-2220004-4-2-22200000000000000000000000002222−22−22−2−222−2−22200000000000000000000
χ714-44-4-2440-40-222-4-44-2-222-2000-2220004-4-2-2220000000000000000000000000−22−22222222−2−222−2−200000000000000000000
χ724-44-4-24-4040-222-4-4422-2-2-2000-222000-4422-2-20000000000000000000000000000066−6−6−6−66600000000000000000000
χ734-44-4-24-4040-222-4-4422-2-2-2000-222000-4422-2-200000000000000000000000000000−6−66666−6−600000000000000000000
χ744-4-44440-404-44-44-4-400004000-44-4-44-40000000040000000000-44000000000000000000000000000000000000000000
χ754-4-444-2040-4-44-4-2220000-24-402-224-4-2000000002004-4-220000-2200-2-222000000000000000000000000000000000000
χ764-4-444-2040-4-44-4-2220000-2-4402-224-4-200000000200-442-20000-220022-2-2000000000000000000000000000000000000
χ774-4-444-20-404-44-4-2220000-20002-22-44200000000-20000000023−232-200000023−23−232300000000000000000000000000000000
χ784-4-444-20-404-44-4-2220000-20002-22-44200000000-200000000−23232-2000000−232323−2300000000000000000000000000000000
χ794-4-44-240-4042-224-4-423−2323−23-20002-222-2-40023−2323−23−2323400000000002-2−23230000000000000000000000000000000000000000
χ804-4-44-240-4042-224-4-4−2323−2323-20002-222-2-400−2323−232323−23400000000002-223−230000000000000000000000000000000000000000
χ814-4-44-2-2040-42-22-22223−2323−2314-40-11-1-22-200−33−3323−23200-22-2223−23001-1−3311-1-1−3−33300000000000000000000000000000000
χ824-4-44-2-2040-42-22-22223−2323−231-440-11-1-22-200−33−3323−232002-22-2−2323001-1−33-1-11133−3−300000000000000000000000000000000
χ834-4-44-2-2040-42-22-222−2323−232314-40-11-1-22-2003−33−3−2323200-22-22−2323001-13−311-1-133−3−300000000000000000000000000000000
χ844-4-44-2-2040-42-22-222−2323−23231-440-11-1-22-2003−33−3−23232002-22-223−23001-13−3-1-111−3−33300000000000000000000000000000000
χ854-4-44-2-20-4042-22-22223−2323−231000-11-12-2200−33−33−2323-20000000023−23-113−3-333-3−333−300000000000000000000000000000000
χ864-4-44-2-20-4042-22-22223−2323−231000-11-12-2200−33−33−2323-200000000−2323-113−33-3-333−3−3300000000000000000000000000000000
χ874-4-44-2-20-4042-22-222−2323−23231000-11-12-22003−33−323−23-20000000023−23-11−333-3-33−333−300000000000000000000000000000000
χ884-4-44-2-20-4042-22-222−2323−23231000-11-12-22003−33−323−23-200000000−2323-11−33-333-33−3−3300000000000000000000000000000000
χ8988-8-88-40000-8-884-440000-400044-4000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-4000044-44-4443−43−43432000-2-2200000−232323−23000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-4000044-44-44−434343−432000-2-220000023−23−2323000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-480-80-44444-4-4-44420002-2-2000-4422-2-2000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-4-8080-44444-444-4-420002-2-20004-4-2-222000000000000000000000000000000000000000000000000000000000

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