Finite Group Databasebeta

← Group #11786989

Character table — Group #11786989

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444441212121212121212181818182424242424242424242424242424242424242424363636363636
order1222222233444466666666666666366666668888121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444444444444444412121212121212121212121212121212448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1
χ911-1-111-1-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i1-1i−i11-1-1ii−i−iii−i−i11-1-1i−iii−i−i
χ1011-1-111-1-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii1-1−ii11-1-1−i−iii−i−iii11-1-1−ii−i−iii
χ1111-1-111-1-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-11i−i-1-111ii−i−iii−i−i-1-111−ii−i−iii
χ1211-1-111-1-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-11-1-11-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-11−ii-1-111−i−iii−i−iii-1-111i−iii−i−i
χ1311-1-111-1-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-11-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1ii−i−iii−i−i-11−ii-1-111ii−i−i−i−iii11-1-1i−i−i−iii
χ1411-1-111-1-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-11-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1−i−iii−i−iii-11i−i-1-111−i−iiiii−i−i11-1-1−iiii−i−i
χ1511-1-111-1-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-11-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111ii−i−i−i−iii1-1−ii11-1-1ii−i−i−i−iii-1-111−iiii−i−i
χ1611-1-111-1-1111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-11-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111−i−iiiii−i−i1-1i−i11-1-1−i−iiiii−i−i-1-111i−i−i−iii
χ172222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000222200000000000000000000-2-20000
χ182222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-2-2-200000000000000000000220000
χ19222222222-1222222-122-1-1-1-12-122-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000002200-1-1-1-100000000-1-1-1-1000000
χ20222222222-1222222-122-1-1-1-12-122-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-2001111000000001111000000
χ21222222222-1222222-122-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111222200000000-2-200111100000000-1-1-1-1000000
χ22222222222-1222222-122-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2000000002200-1-1-1-1000000001111000000
χ2322222222-122222-1-12-1-12222-12-1-12-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002222000000220000-1-1-1-1-1-1-1-10000000000
χ2422222222-122222-1-12-1-12222-12-1-12-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2000000-2-20000111111110000000000
χ2522222222-122222-1-12-1-12222-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-21111111100002222000000-2-20000-1-1-1-111110000000000
χ2622222222-122222-1-12-1-12222-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000-2-2-2-20000002200001111-1-1-1-10000000000
χ2722-2-222-2-222-22-22222-2-2-2-2-2-222-2-22222-2-2-2-220000-222-222-2-22222-2-2-2-200000000000000000000000000000000000000002i2i−2i−2i00000000000000000000−2i2i0000
χ2822-2-222-2-222-22-22222-2-2-2-2-2-222-2-22222-2-2-2-220000-222-222-2-22222-2-2-2-20000000000000000000000000000000000000000−2i−2i2i2i000000000000000000002i−2i0000
χ2922-2-222-2-22-12-22-222-1-2-211112-1-2-2-1-1-1-11111-122-2-22-2-2-111-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111122-2-2000000002-200-1-11100000000-1-111000000
χ3022-2-222-2-22-12-22-222-1-2-211112-1-2-2-1-1-1-11111-122-2-22-2-2-111-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-22200000000-220011-1-10000000011-1-1000000
χ3122-2-222-2-22-12-22-222-1-2-211112-1-2-2-1-1-1-11111-1-2-2222-2-2-111-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-122-2-200000000-220011-1-100000000-1-111000000
χ3222-2-222-2-22-12-22-222-1-2-211112-1-2-2-1-1-1-11111-1-2-2222-2-2-111-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-222000000002-200-1-1110000000011-1-1000000
χ3322-2-222-2-2-122-22-2-1-1211-2-2-2-2-12112-1-1-11111-122-2-2-1112-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100002i2i−2i−2i0000002i−2i0000−i−iii−i−iii0000000000
χ3422-2-222-2-2-122-22-2-1-1211-2-2-2-2-12112-1-1-11111-122-2-2-1112-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000−2i−2i2i2i000000−2i2i0000ii−i−iii−i−i0000000000
χ3522-2-222-2-2-122-22-2-1-1211-2-2-2-2-12112-1-1-11111-1-2-222-1112-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100002i2i−2i−2i000000−2i2i0000−i−iiiii−i−i0000000000
χ3622-2-222-2-2-122-22-2-1-1211-2-2-2-2-12112-1-1-11111-1-2-222-1112-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000−2i−2i2i2i0000002i−2i0000ii−i−i−i−iii0000000000
χ372-222-22-2-22222-2-2-2-2-22222-2-22-2-2-222-2-222-2-22000022-222-22222-2-2-2-2-2-2000000000000000000000000000000002-22-20000000000000000000000002-22-2000000
χ382-222-22-2-22222-2-2-2-2-22222-2-22-2-2-222-2-222-2-22000022-222-22222-2-2-2-2-2-200000000000000000000000000000000-22-22000000000000000000000000-22-22000000
χ392-222-22-2-222-2-222-2-2-22222-2-22-2-2-222-2-222-2-220000-2-22-2-22-2-2-2-22222220000000000000000000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i00000000000000
χ402-222-22-2-222-2-222-2-2-22222-2-22-2-2-222-2-222-2-220000-2-22-2-22-2-2-2-2222222000000000000000000000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i00000000000000
χ412-222-22-2-22-122-2-2-2-2122-1-11121-2-2-1-111-1-111-1000022-2-1-11-1-1-1-111-2111000033−3−33333−3−3−3−3000033−3−33333−3−3−3−32-22-20000000000003−33−300000000-11-11000000
χ422-222-22-2-22-122-2-2-2-2122-1-11121-2-2-1-111-1-111-1000022-2-1-11-1-1-1-111-2111000033−3−33333−3−3−3−3000033−3−33333−3−3−3−3-22-22000000000000−33−33000000001-11-1000000
χ432-222-22-2-22-122-2-2-2-2122-1-11121-2-2-1-111-1-111-1000022-2-1-11-1-1-1-111-21110000−3−333−3−3−3−333330000−3−333−3−3−3−333332-22-2000000000000−33−3300000000-11-11000000
χ442-222-22-2-22-122-2-2-2-2122-1-11121-2-2-1-111-1-111-1000022-2-1-11-1-1-1-111-21110000−3−333−3−3−3−333330000−3−333−3−3−3−33333-22-220000000000003−33−3000000001-11-1000000
χ452-222-22-2-2-12-2-22211-2-1-122-2-2-1-2112-111-1-111-1000011-1-2-221111-1-1-12-1-1−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i300002i−2i2i−2i000000000000−ii−ii3−33−30000000000
χ462-222-22-2-2-12-2-22211-2-1-122-2-2-1-2112-111-1-111-1000011-1-2-221111-1-1-12-1-1−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i30000−2i2i−2i2i000000000000i−ii−i−33−330000000000
χ472-222-22-2-2-12-2-22211-2-1-122-2-2-1-2112-111-1-111-1000011-1-2-221111-1-1-12-1-1i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i300002i−2i2i−2i000000000000−ii−ii−33−330000000000
χ482-222-22-2-2-12-2-22211-2-1-122-2-2-1-2112-111-1-111-1000011-1-2-221111-1-1-12-1-1i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i30000−2i2i−2i2i000000000000i−ii−i3−33−30000000000
χ492-22-22-22-22200002-2-22-22-22-2-222-2-222-22-22-2-2−i2i2−i2i20000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000002i−2i2i−2i00000000000000000000002−22−2
χ502-22-22-22-22200002-2-22-22-22-2-222-2-222-22-22-2-2−i2i2−i2i20000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000−2i2i−2i2i0000000000000000000000−22−22
χ512-22-22-22-22200002-2-22-22-22-2-222-2-222-22-22-2-2i2−i2i2−i20000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000002i−2i2i−2i0000000000000000000000−22−22
χ522-22-22-22-22200002-2-22-22-22-2-222-2-222-22-22-2-2i2−i2i2−i20000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000−2i2i−2i2i00000000000000000000002−22−2
χ532-2-222-2-222200002-2-2-22-22-22-22-22-222-2-22-22-2−i2i2i2−i20000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000002-2-220000000000000000000000−i2i2i2−i2
χ542-2-222-2-222200002-2-2-22-22-22-22-22-222-2-22-22-2−i2i2i2−i20000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000-222-20000000000000000000000i2−i2−i2i2
χ552-2-222-2-222200002-2-2-22-22-22-22-22-222-2-22-22-2i2−i2−i2i20000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000002-2-220000000000000000000000i2−i2−i2i2
χ562-2-222-2-222200002-2-2-22-22-22-22-22-222-2-22-22-2i2−i2−i2i20000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000-222-20000000000000000000000−i2i2i2−i2
χ572-2-2-2-2222222-2-22-2-2-2-2-2-2-2222-22222-2-2-2-222200002-222-2222-2-222-2-2-2-2000000000000000000000000000000002-2-220000000000000000000000002-2-22000000
χ582-2-2-2-2222222-2-22-2-2-2-2-2-2-2222-22222-2-2-2-222200002-222-2222-2-222-2-2-2-200000000000000000000000000000000-222-2000000000000000000000000-222-2000000
χ592-2-2-2-222222-222-2-2-2-2-2-2-2-2222-22222-2-2-2-22220000-22-2-22-2-2-222-2-222220000000000000000000000000000000000002-2-220000000000002-2-2200000000000000
χ602-2-2-2-222222-222-2-2-2-2-2-2-2-2222-22222-2-2-2-22220000-22-2-22-2-2-222-2-22222000000000000000000000000000000000000-222-2000000000000-222-200000000000000
χ612-2-2-2-22222-12-2-22-2-21-2-211-1-12122-1-11111-1-1-100002-22-11-1-1-111-1-1-2111000033−3−33333−3−3−3−30000−3−333−3−3−3−333332-2-220000000000003−3−3300000000-111-1000000
χ622-2-2-2-22222-12-2-22-2-21-2-211-1-12122-1-11111-1-1-100002-22-11-1-1-111-1-1-2111000033−3−33333−3−3−3−30000−3−333−3−3−3−33333-222-2000000000000−333−3000000001-1-11000000
χ632-2-2-2-22222-12-2-22-2-21-2-211-1-12122-1-11111-1-1-100002-22-11-1-1-111-1-1-21110000−3−333−3−3−3−33333000033−3−33333−3−3−3−32-2-22000000000000−333−300000000-111-1000000
χ642-2-2-2-22222-12-2-22-2-21-2-211-1-12122-1-11111-1-1-100002-22-11-1-1-111-1-1-21110000−3−333−3−3−3−33333000033−3−33333−3−3−3−3-222-20000000000003−3−33000000001-1-11000000
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χ1214-4-4-4-44444-2-444-4-4-42-4-422-2-24244-2-22222-2-2-20000-44-42-2222-2-2224-2-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1224-4-4-4-4444-244-4-4422-422-4-444-2-4-2-24-22222-2-2-20000-22-24-44-2-222-2-22-4220000000000000000000000000000000000000000000000000000000000000000000000
χ1234-4-4-4-4444-2-24-4-442222222-2-2-22-2-2-21-1-1-1-11110000-22-2-22-211-1-11122-1-100002323−23−23−3−3−3−333330000−23−2323233333−3−3−3−300000000000000000000000000000000000000
χ1244-4-4-4-4444-2-24-4-442222222-2-2-22-2-2-21-1-1-1-11110000-22-2-22-211-1-11122-1-10000−23−2323233333−3−3−3−300002323−23−23−3−3−3−3333300000000000000000000000000000000000000
χ1254-4-4-4-4444-2-2-444-42222222-2-2-22-2-2-21-1-1-1-111100002-222-22-1-111-1-1-2-211−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i32i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000000
χ1264-4-4-4-4444-2-2-444-42222222-2-2-22-2-2-21-1-1-1-111100002-222-22-1-111-1-1-2-2112i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i3−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000000

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