Finite Group Databasebeta

← Group #11799430

Character table — Group #11799430

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1122222222222222244444444444444444444444444444466666666666688888888888888888121212121212121212121212121212121212484848484848144144
order122334466881212242424243666812121212121616161624242424242424244848484848484848161616164848484848484848612242424484848484848484848484848246688121216162424242448484848481212242448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ5111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-11-1
χ6111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-111-11
χ7111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11-111-1-1-11
χ8111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-11-1-1111-1
χ9222222222-2-222-2-2-2-22222-2222220000-2-2-2-2-2-2-2-20000000000000000000022-2-2-20000000000002222-2-22200-2-2-2-2000000000000
χ10222222222-2-222-2-2-2-22222-2222220000-2-2-2-2-2-2-2-20000000000000000000022-2-2-2000000000000-2-2-2-222-2-2002222000000000000
χ1122222-2-22200-2-2000022220-2-2-2-2-2−i2−i2i2i200000000−i2−i2−i2−i2i2i2i2i222−2−22222−2−2−2−22-2000−i2−i2−i2−i2−i2−i2i2i2i2i2i2i200002i−2i002−22i2i−2i−2i22−2−200000000
χ1222222-2-22200-2-2000022220-2-2-2-2-2−i2−i2i2i200000000−i2−i2−i2−i2i2i2i2i2−2−222−2−2−2−222222-2000−i2−i2−i2−i2−i2−i2i2i2i2i2i2i20000−2i2i00−22−2i−2i2i2i−2−22200000000
χ1322222-2-22200-2-2000022220-2-2-2-2-2i2i2−i2−i200000000i2i2i2i2−i2−i2−i2−i222−2−22222−2−2−2−22-2000i2i2i2i2i2i2−i2−i2−i2−i2−i2−i20000−2i2i002−2−2i−2i2i2i22−2−200000000
χ1422222-2-22200-2-2000022220-2-2-2-2-2i2i2−i2−i200000000i2i2i2i2−i2−i2−i2−i2−2−222−2−2−2−222222-2000i2i2i2i2i2i2−i2−i2−i2−i2−i2−i200002i−2i00−222i2i−2i−2i−2−22200000000
χ152222-122-1222-1-1-1-1-1-1-12-1-12-12-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-122-1-1-1-122-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-100000000
χ162222-122-1222-1-1-1-1-1-1-12-1-12-12-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-1-12-1-122-1-1-1-122-1-1-1-1-2-211-2-211-2-21111111100000000
χ172222-122-1222-1-1-1-1-1-1-12-1-12-12-1-12-2-2-2-2-1-122-1-1-1-1111111112222-1-1-1-1-1-1-1-1-1-12-1-1-2-21111-2-21111-2-211-2-211221111-1-1-1-100000000
χ182222-122-1222-1-1-1-1-1-1-12-1-12-12-1-12-2-2-2-2-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-1-2-21111-2-2111122-1-122-1-1-2-2-1-1-1-1111100000000
χ192222-122-12-2-2-1-11111-12-1-1-2-12-1-12000011-2-2111133−3−333−3−3000033−3−333−3−3-1-1-2110033−3−30033−3−322-1-1-2-2-1-10011113−33−300000000
χ202222-122-12-2-2-1-11111-12-1-1-2-12-1-12000011-2-2111133−3−333−3−30000−3−333−3−333-1-1-2110033−3−30033−3−3-2-211221100-1-1-1-1−33−3300000000
χ212222-122-12-2-2-1-11111-12-1-1-2-12-1-12000011-2-21111−3−333−3−333000033−3−333−3−3-1-1-21100−3−33300−3−333-2-211221100-1-1-1-13−33−300000000
χ222222-122-12-2-2-1-11111-12-1-1-2-12-1-12000011-2-21111−3−333−3−3330000−3−333−3−333-1-1-21100−3−33300−3−33322-1-1-2-2-1-1001111−33−3300000000
χ232222-1-2-2-12001133−3−3-12-1-101-211-2−i2−i2i2i23−30033−3−3ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ46−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ4622−2−2ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46-1103−3−i2−i2ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ46i2i2−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ4600−i3i32i−2i−i3i32−2−i−iiiζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ4600000000
χ242222-1-2-2-12001133−3−3-12-1-101-211-2−i2−i2i2i23−30033−3−3ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ46−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ46−2−222−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46-1103−3−i2−i2ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ46i2i2−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ4600i3−i3−2i2ii3−i3−22ii−i−i−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ4600000000
χ252222-1-2-2-12001133−3−3-12-1-101-211-2i2i2−i2−i23−30033−3−3−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ46ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ4622−2−2ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46-1103−3i2i2−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ46−i2−i2ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ4600i3−i3−2i2ii3−i32−2ii−i−iζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ4600000000
χ262222-1-2-2-12001133−3−3-12-1-101-211-2i2i2−i2−i23−30033−3−3−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ46ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ46−2−222−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46-1103−3i2i2−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ46−i2−i2ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ4600−i3i32i−2i−i3i3−22−i−iii−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ4600000000
χ272222-1-2-2-120011−3−333-12-1-101-211-2−i2−i2i2i2−3300−3−333ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ14−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ1422−2−2ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14-110−33−i2−i2ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ14i2i2−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ1400i3−i32i−2ii3−i32−2−i−iiiζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ1400000000
χ282222-1-2-2-120011−3−333-12-1-101-211-2−i2−i2i2i2−3300−3−333ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ14−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ14−2−222−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14-110−33−i2−i2ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ14i2i2−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ1400−i3i3−2i2i−i3i3−22ii−i−i−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ1400000000
χ292222-1-2-2-120011−3−333-12-1-101-211-2i2i2−i2−i2−3300−3−333−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ14ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ1422−2−2ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14-110−33i2i2−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ14−i2−i2ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ1400−i3i3−2i2i−i3i32−2ii−i−iζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ1400000000
χ302222-1-2-2-120011−3−333-12-1-101-211-2i2i2−i2−i2−3300−3−333−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ14ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ14−2−222−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14-110−33i2i2−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ14−i2−i2ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ1400i3−i32i−2ii3−i3−22−i−iii−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ1400000000
χ31222-12222-122222222-1-12-122-1-1-1-1222222-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-100
χ32222-12222-122222222-1-12-122-1-1-1-1222222-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2111100
χ33222-12222-122222222-1-12-122-1-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-11111111111110000000000000000002-2-1-11100
χ34222-12222-122222222-1-12-122-1-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1111111111111000000000000000000-2211-1-100
χ3522-2222-222222222222-2-22-2-2222-20000-2-222222200000000222222222222-2-2-2-2-200000000000000000000-2-20000-2-2-2-200000000
χ3622-2222-222222222222-2-22-2-2222-20000-2-222222200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000220000222200000000
χ3722-2222-222-2-222-2-2-2-22-2-222-2222-22i−2i2i−2i22-2-2-2-2-2-22i−2i2i−2i2i−2i2i−2i000000000000-2-22222i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000
χ3822-2222-222-2-222-2-2-2-22-2-222-2222-2−2i2i−2i2i22-2-2-2-2-2-2−2i2i−2i2i−2i2i−2i2i000000000000-2-2222−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000
χ3922-222-222200-2-200002-2-2202-2-2-222−2−22000000002−22−2−22−2222−2−22222−2−2−2−2-220002−22−22−2−22−22−222-22200-2-2−220000−2−22200000000
χ4022-222-222200-2-200002-2-2202-2-2-222−2−22000000002−22−2−22−22−2−222−2−2−2−22222-220002−22−22−2−22−22−22-22-2-200222−2000022−2−200000000
χ4122-222-222200-2-200002-2-2202-2-2-22−222−200000000−22−222−22−222−2−22222−2−2−2−2-22000−22−22−222−22−22−2-22-2-20022−220000−2−22200000000
χ4222-222-222200-2-200002-2-2202-2-2-22−222−200000000−22−222−22−2−2−222−2−2−2−22222-22000−22−22−222−22−22−22-22200-2-22−2000022−2−200000000
χ4322-22-12-2-1222-1-1-1-1-1-1-1-21-1-212-1-1-200001122-1-1-1-1−i3i3i3−i3−i3i3i3−i32222-1-1-1-1-1-1-1-111-21100−i3i3i3−i300−i3i3i3−i300i3−i300−i3i3-2-2−i3i3−i3i3111100000000
χ4422-22-12-2-1222-1-1-1-1-1-1-1-21-1-212-1-1-200001122-1-1-1-1−i3i3i3−i3−i3i3i3−i3-2-2-2-21111111111-21100−i3i3i3−i300−i3i3i3−i300−i3i300i3−i322i3−i3i3−i3-1-1-1-100000000
χ4522-22-12-2-1222-1-1-1-1-1-1-1-21-1-212-1-1-200001122-1-1-1-1i3−i3−i3i3i3−i3−i3i32222-1-1-1-1-1-1-1-111-21100i3−i3−i3i300i3−i3−i3i300−i3i300i3−i3-2-2i3−i3i3−i3111100000000
χ4622-22-12-2-1222-1-1-1-1-1-1-1-21-1-212-1-1-200001122-1-1-1-1i3−i3−i3i3i3−i3−i3i3-2-2-2-21111111111-21100i3−i3−i3i300i3−i3−i3i300i3−i300−i3i322−i3i3−i3i3-1-1-1-100000000
χ4722-22-12-2-12-2-2-1-11111-1-21-1212-1-1-22i−2i2i−2i-1-1-2-21111−ii−ii−ii−ii000033−3−333−3−3112-1-12i−2i−ii−ii2i−2i−ii−ii00i3−i300−i3i300i3−i3i3−i3−33−3300000000
χ4822-22-12-2-12-2-2-1-11111-1-21-1212-1-1-22i−2i2i−2i-1-1-2-21111−ii−ii−ii−ii0000−3−333−3−333112-1-12i−2i−ii−ii2i−2i−ii−ii00−i3i300i3−i300−i3i3−i3i33−33−300000000
χ4922-22-12-2-12-2-2-1-11111-1-21-1212-1-1-2−2i2i−2i2i-1-1-2-21111i−ii−ii−ii−i000033−3−333−3−3112-1-1−2i2ii−ii−i−2i2ii−ii−i00−i3i300i3−i300−i3i3−i3i3−33−3300000000
χ5022-22-12-2-12-2-2-1-11111-1-21-1212-1-1-2−2i2i−2i2i-1-1-2-21111i−ii−ii−ii−i0000−3−333−3−333112-1-1−2i2ii−ii−i−2i2ii−ii−i00i3−i300−i3i300i3−i3i3−i33−33−300000000
χ5122-22-1-22-12001133−3−3-1-21-10-1-21122−2−22−330033−3−3ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ4622−2−2ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ461-10−332−2ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46−22−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ462-2-1-10011−22−333−3−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ4600000000
χ5222-22-1-22-12001133−3−3-1-21-10-1-21122−2−22−330033−3−3ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46−2−222−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ461-10−332−2ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46−22−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46-221100-1-12−23−3−33ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ4600000000
χ5322-22-1-22-12001133−3−3-1-21-10-1-2112−222−2−330033−3−3−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ4622−2−2ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ461-10−33−22−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ462−2ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46-221100-1-1−223−3−33−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ4600000000
χ5422-22-1-22-12001133−3−3-1-21-10-1-2112−222−2−330033−3−3−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46−2−222−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ461-10−33−22−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ462−2ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ462-2-1-100112−2−333−3ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ4600000000
χ5522-22-1-22-120011−3−333-1-21-10-1-21122−2−223−300−3−333ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ1422−2−2ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ141-103−32−2ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14−22−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ142-2-1-10011−223−3−33−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ1400000000
χ5622-22-1-22-120011−3−333-1-21-10-1-21122−2−223−300−3−333ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14−2−222−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ141-103−32−2ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14−22−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14-221100-1-12−2−333−3ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ1400000000
χ5722-22-1-22-120011−3−333-1-21-10-1-2112−222−23−300−3−333−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ1422−2−2ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ141-103−3−22−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ142−2ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14-221100-1-1−22−333−3−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ1400000000
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Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.