Finite Group Databasebeta

← Group #11792269

Character table — Group #11792269

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222222222222222222222222222244444444444444444444444444444444444444444444444444448888888888888888888888888888888888887272727272727272
order12222233334444666666666666121212121212121212121212121212124444666666661212121212121212121212121212121212121212121212121212121212121212121212121212121224666666668812121212121212122424242424242424242424242424242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1
χ5111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111-1-1111-1-1
χ8111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-111-1-1-111
χ92222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000022222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000002-200000
χ102222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000022222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000-2200000
χ112222222-1-1-1222222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-12-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ122222222-1-1-1222222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-12-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-2-2-2111111-2-2-2-211111111111100000000
χ132222222-1-1-1222222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111112222-1-1-1-1-1-1-2-222-1-1-1-1-1-1-2-2-2-211111111111100000000
χ142222222-1-1-1222222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111-2-2-2-211111122-2-21111112222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ15222222-12-1-12222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-12222-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000
χ16222222-12-1-12222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-12222-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-21111-2-211-2-211111111-2-2-2-21111111100000000
χ17222222-12-1-12222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-111111111-2-2-2-2-2-2-2-2111111111111111122-1-122-1-1-1-1-2-2-1-122-1-1-1-11111-2-2-2-21111111100000000
χ18222222-12-1-12222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-111111111-2-2-2-2-2-2-2-21111111111111111-2-211-2-211112211-2-21111-1-1-1-12222-1-1-1-1-1-1-1-100000000
χ19222222-1-12-12222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-12222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-100000000
χ20222222-1-12-12222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-12222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-2-21111-2-211-2-21111-2-21111111111-2-2-2-2111100000000
χ21222222-1-12-12222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-11111111111111111-2-2-2-2-2-2-2-21111111122-1-1-1-122-1-1-2-2-1-1-1-122-1-111111111-2-2-2-2111100000000
χ22222222-1-12-12222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-11111111111111111-2-2-2-2-2-2-2-211111111-2-21111-2-211221111-2-211-1-1-1-1-1-1-1-12222-1-1-1-100000000
χ23222222-1-1-122222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222200000000
χ24222222-1-1-122222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2111111-2-2-2-2111111-2-2111111111111-2-2-2-200000000
χ25222222-1-1-122222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122111111111111111111111111-2-2-2-2-2-2-2-222-1-1-1-1-1-122-2-2-1-1-1-1-1-122111111111111-2-2-2-200000000
χ26222222-1-1-122222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122111111111111111111111111-2-2-2-2-2-2-2-2-2-2111111-2-222111111-2-2-1-1-1-1-1-1-1-1-1-1-1-1222200000000
χ272222-2-222222-22-222222222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000200-20000
χ282222-2-222222-22-222222222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000-20020000
χ292222-2-22222-22-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-2-2-2-2-222222222000000000000000000000000000000002-22222222200-2-2-2-2-2-2-2-2000000000000000000000000
χ302222-2-22222-22-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-2-2-2-2-22222222200000000000000000000000000000000-22-2-2-2-2-2-2-2-20022222222000000000000000000000000
χ312222-2-22-1-1-1-22-2222-1-1-1-1-1-12-1-1-1-2-2111111-2-21111110000-2111-211122-1-1-1-1-1-1000000003333−3−3−3−33333−3−3−3−33333−3−3−3−32-222-1-1-1-1-1-100-2-2111111000033−3−333−3−333−3−300000000
χ322222-2-22-1-1-1-22-2222-1-1-1-1-1-12-1-1-1-2-2111111-2-21111110000-2111-211122-1-1-1-1-1-1000000003333−3−3−3−33333−3−3−3−33333−3−3−3−3-22-2-21111110022-1-1-1-1-1-10000−3−333−3−333−3−33300000000
χ332222-2-22-1-1-1-22-2222-1-1-1-1-1-12-1-1-1-2-2111111-2-21111110000-2111-211122-1-1-1-1-1-100000000−3−3−3−33333−3−3−3−33333−3−3−3−333332-222-1-1-1-1-1-100-2-21111110000−3−333−3−333−3−33300000000
χ342222-2-22-1-1-1-22-2222-1-1-1-1-1-12-1-1-1-2-2111111-2-21111110000-2111-211122-1-1-1-1-1-100000000−3−3−3−33333−3−3−3−33333−3−3−3−33333-22-2-21111110022-1-1-1-1-1-1000033−3−333−3−333−3−300000000
χ352222-2-2-12-1-1-22-22-1-122-1-1-1-1-12-1-111-2-2111111-2-2111100001-2111-211-1-122-1-1-1-13333−3−3−3−3000000003333−3−3−3−3−3−3−3−333332-2-1-122-1-1-1-10011-2-2111133−3−3000033−3−3−3−33300000000
χ362222-2-2-12-1-1-22-22-1-122-1-1-1-1-12-1-111-2-2111111-2-2111100001-2111-211-1-122-1-1-1-13333−3−3−3−3000000003333−3−3−3−3−3−3−3−33333-2211-2-2111100-1-122-1-1-1-1−3−3330000−3−33333−3−300000000
χ372222-2-2-12-1-1-22-22-1-122-1-1-1-1-12-1-111-2-2111111-2-2111100001-2111-211-1-122-1-1-1-1−3−3−3−3333300000000−3−3−3−333333333−3−3−3−32-2-1-122-1-1-1-10011-2-21111−3−3330000−3−33333−3−300000000
χ382222-2-2-12-1-1-22-22-1-122-1-1-1-1-12-1-111-2-2111111-2-2111100001-2111-211-1-122-1-1-1-1−3−3−3−3333300000000−3−3−3−333333333−3−3−3−3-2211-2-2111100-1-122-1-1-1-133−3−3000033−3−3−3−33300000000
χ392222-2-2-1-12-1-22-22-1-1-1-122-1-1-1-12-11111-2-2111111-2-211000011-2111-21-1-1-1-122-1-13333−3−3−3−3−3−3−3−33333000000003333−3−3−3−32-2-1-1-1-122-1-1001111-2-21133−3−3−3−333000033−3−300000000
χ402222-2-2-1-12-1-22-22-1-1-1-122-1-1-1-12-11111-2-2111111-2-211000011-2111-21-1-1-1-122-1-13333−3−3−3−3−3−3−3−33333000000003333−3−3−3−3-221111-2-21100-1-1-1-122-1-1−3−33333−3−30000−3−33300000000
χ412222-2-2-1-12-1-22-22-1-1-1-122-1-1-1-12-11111-2-2111111-2-211000011-2111-21-1-1-1-122-1-1−3−3−3−333333333−3−3−3−300000000−3−3−3−333332-2-1-1-1-122-1-1001111-2-211−3−33333−3−30000−3−33300000000
χ422222-2-2-1-12-1-22-22-1-1-1-122-1-1-1-12-11111-2-2111111-2-211000011-2111-21-1-1-1-122-1-1−3−3−3−333333333−3−3−3−300000000−3−3−3−33333-221111-2-21100-1-1-1-122-1-133−3−3−3−333000033−3−300000000
χ432222-2-2-1-1-12-22-22-1-1-1-1-1-122-1-1-12111111-2-2111111-2-20000111-2111-2-1-1-1-1-1-1223333−3−3−3−33333−3−3−3−3−3−3−3−33333000000002-2-1-1-1-1-1-12200111111-2-233−3−333−3−3−3−333000000000000
χ442222-2-2-1-1-12-22-22-1-1-1-1-1-122-1-1-12111111-2-2111111-2-20000111-2111-2-1-1-1-1-1-1223333−3−3−3−33333−3−3−3−3−3−3−3−3333300000000-22111111-2-200-1-1-1-1-1-122−3−333−3−33333−3−3000000000000
χ452222-2-2-1-1-12-22-22-1-1-1-1-1-122-1-1-12111111-2-2111111-2-20000111-2111-2-1-1-1-1-1-122−3−3−3−33333−3−3−3−333333333−3−3−3−3000000002-2-1-1-1-1-1-12200111111-2-2−3−333−3−33333−3−3000000000000
χ462222-2-2-1-1-12-22-22-1-1-1-1-1-122-1-1-12111111-2-2111111-2-20000111-2111-2-1-1-1-1-1-122−3−3−3−33333−3−3−3−333333333−3−3−3−300000000-22111111-2-200-1-1-1-1-1-12233−3−333−3−3−3−333000000000000
χ472-2-222-2222222-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-22i2i−2i−2i2222-2-2-2-22-22-22-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000
χ482-2-222-2222222-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2−2i−2i2i2i2222-2-2-2-22-22-22-22-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000
χ492-2-222-22222-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222222200002222-2-2-2-2-22-22-22-220000000000000000000000000000000000000000000000000000000000000000000000002-200
χ502-2-222-22222-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222222200002222-2-2-2-2-22-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000-2200
χ512-2-222-22-1-1-122-2-2-2-21111112-1-1-122-1-1-1-1-1-1-2-21111112i2i−2i−2i2-1-1-1-21112-2-11-11-112i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii0000−i3i3−i3i3−i3i30000−i3i3−i3i3−i3i300003−33−33−33−33−33−300000000
χ522-2-222-22-1-1-122-2-2-2-21111112-1-1-122-1-1-1-1-1-1-2-21111112i2i−2i−2i2-1-1-1-21112-2-11-11-112i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii0000i3−i3i3−i3i3−i30000i3−i3i3−i3i3−i30000−33−33−33−33−33−3300000000
χ532-2-222-22-1-1-122-2-2-2-21111112-1-1-122-1-1-1-1-1-1-2-2111111−2i−2i2i2i2-1-1-1-21112-2-11-11-11−2i−2i2i2i−2i−2i2i2iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i0000−i3i3−i3i3−i3i30000−i3i3−i3i3−i3i30000−33−33−33−33−33−3300000000
χ542-2-222-22-1-1-122-2-2-2-21111112-1-1-122-1-1-1-1-1-1-2-2111111−2i−2i2i2i2-1-1-1-21112-2-11-11-11−2i−2i2i2i−2i−2i2i2iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i0000i3−i3i3−i3i3−i30000i3−i3i3−i3i3−i300003−33−33−33−33−33−300000000
χ552-2-222-2-12-1-122-2-211-2-21111-12-1-1-1-122-1-1-1-111-2-211112i2i−2i−2i-12-1-11-211-112-2-11-11−i−iii−i−iii2i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−i−iii−i−iii00−i3i300−i3i3i3−i300−i3i300−i3i3i3−i33−33−300003−33−3−33−3300000000
χ562-2-222-2-12-1-122-2-211-2-21111-12-1-1-1-122-1-1-1-111-2-211112i2i−2i−2i-12-1-11-211-112-2-11-11−i−iii−i−iii2i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−i−iii−i−iii00i3−i300i3−i3−i3i300i3−i300i3−i3−i3i3−33−330000−33−333−33−300000000
χ572-2-222-2-12-1-122-2-211-2-21111-12-1-1-1-122-1-1-1-111-2-21111−2i−2i2i2i-12-1-11-211-112-2-11-11ii−i−iii−i−i−2i−2i2i2i−2i−2i2i2iii−i−iii−i−iii−i−iii−i−i00−i3i300−i3i3i3−i300−i3i300−i3i3i3−i3−33−330000−33−333−33−300000000
χ582-2-222-2-12-1-122-2-211-2-21111-12-1-1-1-122-1-1-1-111-2-21111−2i−2i2i2i-12-1-11-211-112-2-11-11ii−i−iii−i−i−2i−2i2i2i−2i−2i2i2iii−i−iii−i−iii−i−iii−i−i00i3−i300i3−i3−i3i300i3−i300i3−i3−i3i33−33−300003−33−3−33−3300000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.