Finite Group Databasebeta

← Group #11819207

Character table — Group #11819207

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222444444444444444444444444444444444444444444444444444444446666121212121212121212121212121212121212121212121212121224242424242424242424363636367272
order12222222222233666666666666666666666634444666666666666666666612121212121212121212121212121212121212121212121212121212121212124444444444444412121212121212121212121212121212441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1
χ911111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-111-1-111-11
χ1111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111-111-1-111-1-1-1-111-11
χ1211111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-11-1-111-1-11111-1-11-1
χ1311111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1-11111-1-111-1-1-11
χ172222222222222-12222-1-1-1-1222222222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000000000000022-1-1-1-1-1-1-1-1000000
χ182222222222222-12222-1-1-1-1222222222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000000000000000-2-211111111000000
χ192222222222222-12222-1-1-1-1222222222-122-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-211111111111111111111000000002222000000000000000000-2-2-1-1-1-11111000000
χ202222222222222-12222-1-1-1-1222222222-122-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111111111111111111100000000-2-2-2-2000000000000000000221111-1-1-1-1000000
χ21222222222222-12-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-122-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222000022-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ22222222222222-12-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-122-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000-2-211111111111111110000000000000000
χ23222222222222-12-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-122-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111-2-2-2-211111111111111112222-2-2-2-2000022-1-1-1-1-1-1-1-1111111110000000000000000
χ24222222222222-12-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-122-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111-2-2-2-21111111111111111-2-2-2-222220000-2-211111111-1-1-1-1-1-1-1-10000000000000000
χ2522222222-2-2-2-22-12222-1-1-1-1-2-2-2-2-2-2-2-22-122-1-1-122-2-21111-1-1-1-1-1-111111111-12222-1-1-1-1-2-2-2-21111-1-1-1-1-1-1-1-1111111110000000022-2-20000000000000000002-2-1-111-1-111000000
χ2622222222-2-2-2-22-12222-1-1-1-1-2-2-2-2-2-2-2-22-122-1-1-122-2-21111-1-1-1-1-1-111111111-12222-1-1-1-1-2-2-2-21111-1-1-1-1-1-1-1-11111111100000000-2-222000000000000000000-2211-1-111-1-1000000
χ2722222222-2-2-2-22-12222-1-1-1-1-2-2-2-2-2-2-2-22-122-1-1-1-2-2221111-1-1-1-1-1-111111111-1-2-2-2-211112222-1-1-1-111111111-1-1-1-1-1-1-1-10000000022-2-2000000000000000000-22-1-11111-1-1000000
χ2822222222-2-2-2-22-12222-1-1-1-1-2-2-2-2-2-2-2-22-122-1-1-1-2-2221111-1-1-1-1-1-111111111-1-2-2-2-211112222-1-1-1-111111111-1-1-1-1-1-1-1-100000000-2-2220000000000000000002-211-1-1-1-111000000
χ2922222222-2-2-2-2-12-1-1-1-1222211111111-12-1-122-122-2-2-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-122221111-2-2-2-2-1-1-1-1-1-1-1-111111111222222-2-20000-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ3022222222-2-2-2-2-12-1-1-1-1222211111111-12-1-122-122-2-2-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-122221111-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2220000221111-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-2-2-2-2-12-1-1-1-1222211111111-12-1-122-1-2-222-2-2-2-2-1-1-1-1-1-111111111-11111-2-2-2-2-1-1-1-1222211111111-1-1-1-1-1-1-1-12222-2-2220000-2-2-1-1-1-111111111-1-1-1-10000000000000000
χ3222222222-2-2-2-2-12-1-1-1-1222211111111-12-1-122-1-2-222-2-2-2-2-1-1-1-1-1-111111111-11111-2-2-2-2-1-1-1-1222211111111-1-1-1-1-1-1-1-1-2-2-2-222-2-20000221111-1-1-1-1-1-1-1-111110000000000000000
χ332222-2-2-2-222-2-22222-2-22-2-2-22222-2-2-2-2-2-22-2222000022-2-2222-2-2-22222-2-2-2-2-2000000000000000000000000000000002i2i−2i−2i000000002i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ342222-2-2-2-222-2-22222-2-22-2-2-22222-2-2-2-2-2-22-2222000022-2-2222-2-2-22222-2-2-2-2-200000000000000000000000000000000−2i−2i2i2i00000000−2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ352222-2-2-2-222-2-2-12-1-1112-2-2-2-1-1-1-111111-2-1122-1000022-2-2-1-1-1111-1-1-1-11111133−3−3000033−3−300003333−3−3−3−33333−3−3−3−32i2i−2i−2i000000002i−2i−i−iii−i−iii−i3−i3i3i3−i3−i3i3i30000000000000000
χ362222-2-2-2-222-2-2-12-1-1112-2-2-2-1-1-1-111111-2-1122-1000022-2-2-1-1-1111-1-1-1-11111133−3−3000033−3−300003333−3−3−3−33333−3−3−3−3−2i−2i2i2i00000000−2i2iii−i−iii−i−ii3i3−i3−i3i3i3−i3−i30000000000000000
χ372222-2-2-2-222-2-2-12-1-1112-2-2-2-1-1-1-111111-2-1122-1000022-2-2-1-1-1111-1-1-1-111111−3−3330000−3−3330000−3−3−3−33333−3−3−3−333332i2i−2i−2i000000002i−2i−i−iii−i−iiii3i3−i3−i3i3i3−i3−i30000000000000000
χ382222-2-2-2-222-2-2-12-1-1112-2-2-2-1-1-1-111111-2-1122-1000022-2-2-1-1-1111-1-1-1-111111−3−3330000−3−3330000−3−3−3−33333−3−3−3−33333−2i−2i2i2i00000000−2i2iii−i−iii−i−i−i3−i3i3i3−i3−i3i3i30000000000000000
χ392222-2-2-2-2-2-2222222-2-22-2-2-2-2-2-2-22222-2-22-22220000-2-222222-2-2-2-2-2-2-22222-2000000000000000000000000000000002i2i−2i−2i00000000−2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ402222-2-2-2-2-2-2222222-2-22-2-2-2-2-2-2-22222-2-22-22220000-2-222222-2-2-2-2-2-2-22222-200000000000000000000000000000000−2i−2i2i2i000000002i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ412222-2-2-2-2-2-222-12-1-1112-2-2-21111-1-1-1-11-2-1122-10000-2-222-1-1-11111111-1-1-1-1133−3−30000−3−33300003333−3−3−3−3−3−3−3−333332i2i−2i−2i00000000−2i2i−i−iiiii−i−i−i3−i3i3i3i3i3−i3−i30000000000000000
χ422222-2-2-2-2-2-222-12-1-1112-2-2-21111-1-1-1-11-2-1122-10000-2-222-1-1-11111111-1-1-1-1133−3−30000−3−33300003333−3−3−3−3−3−3−3−33333−2i−2i2i2i000000002i−2iii−i−i−i−iiii3i3−i3−i3−i3−i3i3i30000000000000000
χ432222-2-2-2-2-2-222-12-1-1112-2-2-21111-1-1-1-11-2-1122-10000-2-222-1-1-11111111-1-1-1-11−3−333000033−3−30000−3−3−3−333333333−3−3−3−32i2i−2i−2i00000000−2i2i−i−iiiii−i−ii3i3−i3−i3−i3−i3i3i30000000000000000
χ442222-2-2-2-2-2-222-12-1-1112-2-2-21111-1-1-1-11-2-1122-10000-2-222-1-1-11111111-1-1-1-11−3−333000033−3−30000−3−3−3−333333333−3−3−3−3−2i−2i2i2i000000002i−2iii−i−i−i−iii−i3−i3i3i3i3i3−i3−i30000000000000000
χ4522-2-22-22-20000222-22-2-22-2-20000000022-2-22-22002-200002-2-22-2-2000000002000000002-22-222-2-20000000022-2-222-2-22i−2i2i−2i002i−2i0000002i−2i2i−2i000000002i−2i2i−2i0000000000000000
χ4622-2-22-22-20000222-22-2-22-2-20000000022-2-22-22002-200002-2-22-2-2000000002000000002-22-222-2-20000000022-2-222-2-2−2i2i−2i2i00−2i2i000000−2i2i−2i2i00000000−2i2i−2i2i0000000000000000
χ4722-2-22-22-20000222-22-2-22-2-20000000022-2-22-2200-2200002-2-22-2-200000000200000000-22-22-2-22200000000-2-222-2-2222i−2i2i−2i00−2i2i0000002i−2i2i−2i00000000−2i2i−2i2i0000000000000000
χ4822-2-22-22-20000222-22-2-22-2-20000000022-2-22-2200-2200002-2-22-2-200000000200000000-22-22-2-22200000000-2-222-2-222−2i2i−2i2i002i−2i000000−2i2i−2i2i000000002i−2i2i−2i0000000000000000
χ4922-2-22-22-20000-12-11-11-22-2-2−i3−i3i3i3−i3−i3i3i3-12112-2-1002-20000-111-111−i3−i3i3i3−i3−i3i3i3-1−i3i3−i3i30000-11-1122-2-2−i3−i3i3i3−i3−i3i3i3-1-111-1-1112i−2i2i−2i002i−2i000000−ii−ii3−33−33−33−3−ii−ii0000000000000000
χ5022-2-22-22-20000-12-11-11-22-2-2−i3−i3i3i3−i3−i3i3i3-12112-2-1002-20000-111-111−i3−i3i3i3−i3−i3i3i3-1−i3i3−i3i30000-11-1122-2-2−i3−i3i3i3−i3−i3i3i3-1-111-1-111−2i2i−2i2i00−2i2i000000i−ii−i−33−33−33−33i−ii−i0000000000000000
χ5122-2-22-22-20000-12-11-11-22-2-2−i3−i3i3i3−i3−i3i3i3-12112-2-100-220000-111-111−i3−i3i3i3−i3−i3i3i3-1i3−i3i3−i300001-11-1-2-222i3i3−i3−i3i3i3−i3−i311-1-111-1-12i−2i2i−2i00−2i2i000000−ii−ii3−33−3−33−33i−ii−i0000000000000000
χ5222-2-22-22-20000-12-11-11-22-2-2−i3−i3i3i3−i3−i3i3i3-12112-2-100-220000-111-111−i3−i3i3i3−i3−i3i3i3-1i3−i3i3−i300001-11-1-2-222i3i3−i3−i3i3i3−i3−i311-1-111-1-1−2i2i−2i2i002i−2i000000i−ii−i−33−333−33−3−ii−ii0000000000000000
χ5322-2-22-22-20000-12-11-11-22-2-2i3i3−i3−i3i3i3−i3−i3-12112-2-1002-20000-111-111i3i3−i3−i3i3i3−i3−i3-1i3−i3i3−i30000-11-1122-2-2i3i3−i3−i3i3i3−i3−i3-1-111-1-1112i−2i2i−2i002i−2i000000−ii−ii−33−33−33−33−ii−ii0000000000000000
χ5422-2-22-22-20000-12-11-11-22-2-2i3i3−i3−i3i3i3−i3−i3-12112-2-1002-20000-111-111i3i3−i3−i3i3i3−i3−i3-1i3−i3i3−i30000-11-1122-2-2i3i3−i3−i3i3i3−i3−i3-1-111-1-111−2i2i−2i2i00−2i2i000000i−ii−i3−33−33−33−3i−ii−i0000000000000000
χ5522-2-22-22-20000-12-11-11-22-2-2i3i3−i3−i3i3i3−i3−i3-12112-2-100-220000-111-111i3i3−i3−i3i3i3−i3−i3-1−i3i3−i3i300001-11-1-2-222−i3−i3i3i3−i3−i3i3i311-1-111-1-12i−2i2i−2i00−2i2i000000−ii−ii−33−333−33−3i−ii−i0000000000000000
χ5622-2-22-22-20000-12-11-11-22-2-2i3i3−i3−i3i3i3−i3−i3-12112-2-100-220000-111-111i3i3−i3−i3i3i3−i3−i3-1−i3i3−i3i300001-11-1-2-222−i3−i3i3i3−i3−i3i3i311-1-111-1-1−2i2i−2i2i002i−2i000000i−ii−i3−33−3−33−33−ii−ii0000000000000000
χ5722-2-2-22-220000222-2-22-2-22200000000-2-2-222-222i−2i0000002-2-2-22200000000-22i−2i−2i2i2i2i−2i−2i000000002i2i−2i−2i−2i−2i2i2i000000002-2-222i−2i000000002-2-220000−2i2i2i−2i00000000000000000000
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χ1324-4-44-4-44400004-2-44-4-422-22000000004-2-442-2-20000000022-22-2200000000-20000000000002i3−2i3−2i32i3000000002i3−2i3−2i32i32i3−2i3−2i32i30000000000000000000000000000000000000000000000
χ1334-4-44-4-4440000-242-222-4-44-4−2i32i32i3−2i32i3−2i3−2i32i3-242-2-44-20000000022-22-22−2i32i32i3−2i32i3−2i3−2i32i3-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1344-4-44-4-4440000-242-222-4-44-42i3−2i3−2i32i3−2i32i32i3−2i3-242-2-44-20000000022-22-222i3−2i3−2i32i3−2i32i32i3−2i3-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-44-4-4440000-2-22-22222-22−2i32i32i3−2i32i3−2i3−2i32i3-2-22-22-2100000000-1-11-11-1i3−i3−i3i3−i3i3i3−i31000000000000−2i32i32i3−2i3-333-3-333-3i3−i3−i3i3i3−i3−i3i30000000000000000000000000000000000000000000000
χ1364-4-44-4-4440000-2-22-22222-22−2i32i32i3−2i32i3−2i3−2i32i3-2-22-22-2100000000-1-11-11-1i3−i3−i3i3−i3i3i3−i310000000000002i3−2i3−2i32i33-3-333-3-33−i3i3i3−i3−i3i3i3−i30000000000000000000000000000000000000000000000
χ1374-4-44-4-4440000-2-22-22222-222i3−2i3−2i32i3−2i32i32i3−2i3-2-22-22-2100000000-1-11-11-1−i3i3i3−i3i3−i3−i3i31000000000000−2i32i32i3−2i33-3-333-3-33i3−i3−i3i3i3−i3−i3i30000000000000000000000000000000000000000000000
χ1384-4-44-4-4440000-2-22-22222-222i3−2i3−2i32i3−2i32i32i3−2i3-2-22-22-2100000000-1-11-11-1−i3i3i3−i3i3−i3−i3i310000000000002i3−2i3−2i32i3-333-3-333-3−i3i3i3−i3−i3i3i3−i30000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).