Finite Group Databasebeta

← Group #11797398

Character table — Group #11797398

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222222222222222222222222244444444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121224242424242424242424242472727272
order12442334444466668888121212121212121212121212121224242424366668812121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242444668888121212121212242424242424242416161616484848484848484816161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-111111111111111-1-1-1-111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−iii−i−i
χ61111111111111111-1-1-1-111111111111111-1-1-1-111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii−i−iii
χ71111111111111111-1-1-1-111111111111111-1-1-1-111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111ii−i−iiiii−i−i−i−i−i−iii
χ81111111111111111-1-1-1-111111111111111-1-1-1-111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111−i−iii−i−i−i−iiiiiii−i−i
χ91111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11-11-111-1-111-1-11-11-1
χ101111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-11-11
χ111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111-11-111-1-111-1-1-11-11
χ121111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-11-11-1-111-1-1111-11-1
χ131111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iiii−i−ii
χ141111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−iii−i
χ151111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii−iii−i
χ161111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-111111111-1-1-1-1−iii−i−i−iiiii−i−ii−i−ii
χ17222222-1222222-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-12-1-1-1222222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222-1222222-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-12-1-1-1222222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-2111111111111110000000000000000
χ19222222-1222222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-12-1-1-1-2-22222-1-1-1-1-1-1-1-12-1-1-1-1-2-21111111111111111-2-2-2-2111111112222-1-1-2-2-2-2-1-1-1-1-1-1111111110000000000000000
χ20222222-1222222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-12-1-1-1-2-22222-1-1-1-1-1-1-1-12-1-1-1-1-2-21111111111111111-2-2-2-211111111-2-2-2-2112222111111-1-1-1-1-1-1-1-10000000000000000
χ21222222-1-2-2-2-222-1-1-122221111111122-1-1-1-12222-12-1-1-1-2-2-2-2-2-2111111112-1-1-1-122-1-1-1-11111-1-1-1-1-1-1-1-1-2-2-2-21111111122-2-2-1-122-2-2-1-11111-1-1-1-111110000000000000000
χ22222222-1-2-2-2-222-1-1-122221111111122-1-1-1-12222-12-1-1-1-2-2-2-2-2-2111111112-1-1-1-122-1-1-1-11111-1-1-1-1-1-1-1-1-2-2-2-211111111-2-22211-2-22211-1-1-1-11111-1-1-1-10000000000000000
χ23222222-1-2-2-2-222-1-1-1-2-2-2-21111111122-1-1-1-1-2-2-2-2-12-1-1-122-2-2-2-2111111112-1-1-1-1-2-21111-1-1-1-1111111112222-1-1-1-1-1-1-1-122-2-2-1-1-2-222-1-111111111-1-1-1-10000000000000000
χ24222222-1-2-2-2-222-1-1-1-2-2-2-21111111122-1-1-1-1-2-2-2-2-12-1-1-122-2-2-2-2111111112-1-1-1-1-2-21111-1-1-1-1111111112222-1-1-1-1-1-1-1-1-2-2221122-2-211-1-1-1-1-1-1-1-111110000000000000000
χ2522222-1222222-1222222222222222-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-10000
χ2622222-1222222-1222222222222222-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2111111110000
χ2722222-1222222-1222-2-2-2-222222222-1-122221111-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2-2-2-2-2111111111111111111110000000000000000000000002i2i−2i−2i−i−i−i−iiiii0000
χ2822222-1222222-1222-2-2-2-222222222-1-122221111-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2-2-2-2-211111111111111111111000000000000000000000000−2i−2i2i2iiiii−i−i−i−i0000
χ2922222-12-2-2-2-22-12222222-2-2-2-2-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-2-2111111111111-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-11111111111110000000000000000000000002-22-2-1-111-1-1110000
χ3022222-12-2-2-2-22-12222222-2-2-2-2-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-2-2111111111111-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1111111111111000000000000000000000000-22-2211-1-111-1-10000
χ3122222-12-2-2-2-22-1222-2-2-2-2-2-2-2-2-2-2-2-2-1-122221111-1-1-1-1-122111111111111-1-1-1-1-111-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002i−2i−2i2i−i−iiiii−i−i0000
χ3222222-12-2-2-2-22-1222-2-2-2-2-2-2-2-2-2-2-2-2-1-122221111-1-1-1-1-122111111111111-1-1-1-1-111-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000−2i2i2i−2iii−i−i−i−iii0000
χ332222-2220000-222-2-222-2-2000000002222-2-222222-22-2-200000000000000-222-2-2-2-222-2-200002222-2-2-2-2000000000000002i−2i00002i−2i002i2i−2i−2i00002i2i−2i−2i0000000000000000
χ342222-2220000-222-2-222-2-2000000002222-2-222222-22-2-200000000000000-222-2-2-2-222-2-200002222-2-2-2-200000000000000−2i2i0000−2i2i00−2i−2i2i2i0000−2i−2i2i2i0000000000000000
χ352222-2220000-222-2-2-2-222000000002222-2-2-2-2-2-22-22-2-200000000000000-222-2-222-2-2220000-2-2-2-22222000000000000002i−2i0000−2i2i002i2i−2i−2i0000−2i−2i2i2i0000000000000000
χ362222-2220000-222-2-2-2-222000000002222-2-2-2-2-2-22-22-2-200000000000000-222-2-222-2-2220000-2-2-2-2222200000000000000−2i2i00002i−2i00−2i−2i2i2i00002i2i−2i−2i0000000000000000
χ372222-22-10000-22-11122-2-23333−3−3−3−322-1-1112222-1-2-1110000003333−3−3−3−3-2-1-111-2-2-1-11133−3−3-1-1-1-1111100003333−3−3−3−3002i−2i−i3i3002i−2i−i3i3−i−iii−i3−i3i3i3−i−iii0000000000000000
χ382222-22-10000-22-11122-2-23333−3−3−3−322-1-1112222-1-2-1110000003333−3−3−3−3-2-1-111-2-2-1-11133−3−3-1-1-1-1111100003333−3−3−3−300−2i2ii3−i300−2i2ii3−i3ii−i−ii3i3−i3−i3ii−i−i0000000000000000
χ392222-22-10000-22-11122-2-2−3−3−3−3333322-1-1112222-1-2-111000000−3−3−3−33333-2-1-111-2-2-1-111−3−333-1-1-1-111110000−3−3−3−33333002i−2ii3−i3002i−2ii3−i3−i−iiii3i3−i3−i3−i−iii0000000000000000
χ402222-22-10000-22-11122-2-2−3−3−3−3333322-1-1112222-1-2-111000000−3−3−3−33333-2-1-111-2-2-1-111−3−333-1-1-1-111110000−3−3−3−3333300−2i2i−i3i300−2i2i−i3i3ii−i−i−i3−i3i3i3ii−i−i0000000000000000
χ412222-22-10000-22-111-2-2223333−3−3−3−322-1-111-2-2-2-2-1-2-1110000003333−3−3−3−3-2-1-1112211-1-1−3−3331111-1-1-1-10000−3−3−3−33333002i−2i−i3i300−2i2i−i3i3−i−iiii3i3−i3−i3ii−i−i0000000000000000
χ422222-22-10000-22-111-2-2223333−3−3−3−322-1-111-2-2-2-2-1-2-1110000003333−3−3−3−3-2-1-1112211-1-1−3−3331111-1-1-1-10000−3−3−3−3333300−2i2ii3−i3002i−2ii3−i3ii−i−i−i3−i3i3i3−i−iii0000000000000000
χ432222-22-10000-22-111-2-222−3−3−3−3333322-1-111-2-2-2-2-1-2-111000000−3−3−3−33333-2-1-1112211-1-133−3−31111-1-1-1-100003333−3−3−3−3002i−2ii3−i300−2i2ii3−i3−i−iii−i3−i3i3i3ii−i−i0000000000000000
χ442222-22-10000-22-111-2-222−3−3−3−3333322-1-111-2-2-2-2-1-2-111000000−3−3−3−33333-2-1-1112211-1-133−3−31111-1-1-1-100003333−3−3−3−300−2i2i−i3i3002i−2i−i3i3ii−i−ii3i3−i3−i3−i−iii0000000000000000
χ4522-2-22220000-222222i−2i2i−2i00000000-2-2-2-2-2-22i2i−2i−2i2222200000000000000-2-2-2-2-22i−2i2i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i0000000000002-200222i−2i00-2-200002i−2i2i−2i00000000000000000000
χ4622-2-22220000-222222i−2i2i−2i00000000-2-2-2-2-2-22i2i−2i−2i2222200000000000000-2-2-2-2-22i−2i2i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i000000000000-2200-2-2−2i2i00220000−2i2i−2i2i00000000000000000000
χ4722-2-22220000-22222−2i2i−2i2i00000000-2-2-2-2-2-2−2i−2i2i2i2222200000000000000-2-2-2-2-2−2i2i−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i0000000000002-20022−2i2i00-2-20000−2i2i−2i2i00000000000000000000
χ4822-2-22220000-22222−2i2i−2i2i00000000-2-2-2-2-2-2−2i−2i2i2i2222200000000000000-2-2-2-2-2−2i2i−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i000000000000-2200-2-22i−2i002200002i−2i2i−2i00000000000000000000
χ4922-2-222-10000-22-1-1-12i−2i2i−2i−i3−i3i3i3−i3−i3i3i3-2-211112i2i−2i−2i-12-1-1-1000000−i3−i3i3i3−i3−i3i3i3-211112i−2i−ii−ii3−33−3−i−iii−i−iii000033−3−333−3−32-200-1-12i−2i0011−i3i3−i3i3−ii−ii3−33−30000000000000000
χ5022-2-222-10000-22-1-1-12i−2i2i−2i−i3−i3i3i3−i3−i3i3i3-2-211112i2i−2i−2i-12-1-1-1000000−i3−i3i3i3−i3−i3i3i3-211112i−2i−ii−ii3−33−3−i−iii−i−iii000033−3−333−3−3-220011−2i2i00-1-1i3−i3i3−i3i−ii−i−33−330000000000000000
χ5122-2-222-10000-22-1-1-12i−2i2i−2ii3i3−i3−i3i3i3−i3−i3-2-211112i2i−2i−2i-12-1-1-1000000i3i3−i3−i3i3i3−i3−i3-211112i−2i−ii−ii−33−33−i−iii−i−iii0000−3−333−3−3332-200-1-12i−2i0011i3−i3i3−i3−ii−ii−33−330000000000000000
χ5222-2-222-10000-22-1-1-12i−2i2i−2ii3i3−i3−i3i3i3−i3−i3-2-211112i2i−2i−2i-12-1-1-1000000i3i3−i3−i3i3i3−i3−i3-211112i−2i−ii−ii−33−33−i−iii−i−iii0000−3−333−3−333-220011−2i2i00-1-1−i3i3−i3i3i−ii−i3−33−30000000000000000
χ5322-2-222-10000-22-1-1-1−2i2i−2i2i−i3−i3i3i3−i3−i3i3i3-2-21111−2i−2i2i2i-12-1-1-1000000−i3−i3i3i3−i3−i3i3i3-21111−2i2ii−ii−i−33−33ii−i−iii−i−i0000−3−333−3−3332-200-1-1−2i2i0011−i3i3−i3i3i−ii−i−33−330000000000000000
χ5422-2-222-10000-22-1-1-1−2i2i−2i2i−i3−i3i3i3−i3−i3i3i3-2-21111−2i−2i2i2i-12-1-1-1000000−i3−i3i3i3−i3−i3i3i3-21111−2i2ii−ii−i−33−33ii−i−iii−i−i0000−3−333−3−333-2200112i−2i00-1-1i3−i3i3−i3−ii−ii3−33−30000000000000000
χ5522-2-222-10000-22-1-1-1−2i2i−2i2ii3i3−i3−i3i3i3−i3−i3-2-21111−2i−2i2i2i-12-1-1-1000000i3i3−i3−i3i3i3−i3−i3-21111−2i2ii−ii−i3−33−3ii−i−iii−i−i000033−3−333−3−32-200-1-1−2i2i0011i3−i3i3−i3i−ii−i3−33−30000000000000000
χ5622-2-222-10000-22-1-1-1−2i2i−2i2ii3i3−i3−i3i3i3−i3−i3-2-21111−2i−2i2i2i-12-1-1-1000000i3i3−i3−i3i3i3−i3−i3-21111−2i2ii−ii−i3−33−3ii−i−iii−i−i000033−3−333−3−3-2200112i−2i00-1-1−i3i3−i3i3−ii−ii−33−330000000000000000
χ5722-2-2-2222i2i−2i−2i222-2-22i−2i−2i2i2i2i−2i−2i−2i−2i2i2i-2-2-2-2222i2i−2i−2i2-22-2-22-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2-2-222−2i2i2i−2i−2i2i-222-22i2i−2i−2i−2i−2i2i2i22-2-2-2-22222-2-20000000000000000000000000000000000000000
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χ1304-4−4i4i0-2-2−2+2i2−2i−2−2i2+2i022−2i32i300002ζ4+2ζ14−2ζ4−2ζ142ζ20−2ζ22−2ζ20+2ζ222ζ4−2ζ14−2ζ4+2ζ142ζ20+2ζ22−2ζ20−2ζ222i−2i2i−2i−2323−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ2310-1i3−i3001−i−1+i1+i−1−i−ζ4−ζ14ζ4+ζ14−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ20−ζ22ζ20+ζ220−ii3−30000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−3ζ5−3ζ133ζ5+3ζ133ζ7+3ζ23−3ζ7−3ζ23−i6i66−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ230000000000000000000000000000000000000000
χ1314-4−4i4i0-2-2−2+2i2−2i−2−2i2+2i0222i3−2i300002ζ20+2ζ22−2ζ20−2ζ222ζ4−2ζ14−2ζ4+2ζ142ζ20−2ζ22−2ζ20+2ζ222ζ4+2ζ14−2ζ4−2ζ142i−2i2i−2i23−232ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ2310-1−i3i3001−i−1+i1+i−1−i−ζ20−ζ22ζ20+ζ22−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ4−ζ14ζ4+ζ140−ii−330000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−3ζ5−3ζ133ζ5+3ζ133ζ7+3ζ23−3ζ7−3ζ23i6−i6−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ230000000000000000000000000000000000000000
χ1324-4−4i4i0-2-2−2+2i2−2i−2−2i2+2i0222i3−2i300002ζ20+2ζ22−2ζ20−2ζ222ζ4−2ζ14−2ζ4+2ζ142ζ20−2ζ22−2ζ20+2ζ222ζ4+2ζ14−2ζ4−2ζ142i−2i2i−2i23−23−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ2310-1−i3i3001−i−1+i1+i−1−i−ζ20−ζ22ζ20+ζ22−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ4−ζ14ζ4+ζ140−ii−330000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ233ζ5+3ζ13−3ζ5−3ζ13−3ζ7−3ζ233ζ7+3ζ23−i6i66−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ230000000000000000000000000000000000000000

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