Finite Group Databasebeta

← Group #11771703

Character table — Group #11771703

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212122424242424242424242424243636363636363636
order12224444336666668888888812121212121212122424242424242424344666121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424161616161616161648484848484848484848484848484848448812121212242424241616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−i
χ61111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-11111−i−i−i−iiiii
χ71111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-11111-1-1-1-1−i−i−i−iiiii
χ81111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-1-11111iiii−i−i−i−i
χ91111-1-1-1-111111111i−iii−i−ii−i-1-1-1-1-1-1-1-1iiii−i−i−i−i11-111111-1-111-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ261-1i−i11-1-1ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26
χ101111-1-1-1-111111111i−iii−i−ii−i-1-1-1-1-1-1-1-1iiii−i−i−i−i11-111111-1-111-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26-11−ii-1-111−i−iii−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26
χ111111-1-1-1-111111111i−iii−i−ii−i-1-1-1-1-1-1-1-1iiii−i−i−i−i11-111111-1-111-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ261-1i−i11-1-1ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26
χ121111-1-1-1-111111111i−iii−i−ii−i-1-1-1-1-1-1-1-1iiii−i−i−i−i11-111111-1-111-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26-11−ii-1-111−i−iiiζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26
χ131111-1-1-1-111111111−ii−i−iii−ii-1-1-1-1-1-1-1-1−i−i−i−iiiii11-111111-1-111-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−i−i−i−i−iiiiiiiii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ461-1−ii11-1-1−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46
χ141111-1-1-1-111111111−ii−i−iii−ii-1-1-1-1-1-1-1-1−i−i−i−iiiii11-111111-1-111-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−i−i−i−i−iiiiiiiii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46-11i−i-1-111ii−i−iζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46
χ151111-1-1-1-111111111−ii−i−iii−ii-1-1-1-1-1-1-1-1−i−i−i−iiiii11-111111-1-111-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−i−i−i−i−iiiiiiiiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ461-1−ii11-1-1−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46
χ161111-1-1-1-111111111−ii−i−iii−ii-1-1-1-1-1-1-1-1−i−i−i−iiiii11-111111-1-111-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−i−i−i−i−iiiiiiiiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46-11i−i-1-111ii−i−i−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46
χ17222222222222222222-2-2-2-22222222222-2-2-2-2-2-2-2-22-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ182222222222222222-2-22222-2-222222222222222222-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ19222222222-1222-1-1-1222222222222-1-1-1-122222222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-100000000
χ20222222222-1222-1-1-1222222222222-1-1-1-122222222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-21111111100000000
χ21222222222-1222-1-1-122-2-2-2-2222222-1-1-1-1-2-2-2-2-2-2-2-2-1-2-2-1-1-1-2-2-2-2111111111111-1-1-1-122-1-122-1-11111-1-1-1-11111-1-1-1-111110000000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ22222222222-1222-1-1-122-2-2-2-2222222-1-1-1-1-2-2-2-2-2-2-2-2-1-2-2-1-1-1-2-2-2-2111111111111-1-1-1-122-1-122-1-11111-1-1-1-11111-1-1-1-111110000000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ23222222222-1222-1-1-1-2-22222-2-22222-1-1-1-122222222-1-2-2-1-1-1-2-2-2-2111111111111-1-1-1-1-2-211-2-211-1-1-1-11111-1-1-1-11111-1-1-1-10000000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ24222222222-1222-1-1-1-2-22222-2-22222-1-1-1-122222222-1-2-2-1-1-1-2-2-2-2111111111111-1-1-1-1-2-211-2-211-1-1-1-11111-1-1-1-11111-1-1-1-10000000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ25222222222-1222-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-2-2-2-2-2-2-2-2-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2111111111111111111111100000000000000000000000022-2-2-1-1-1-1111100000000
χ26222222222-1222-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-2-2-2-2-2-2-2-2-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-21111111111111111111111000000000000000000000000-2-2221111-1-1-1-100000000
χ2722222222-12-1-1-122222222222-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ2822222222-12-1-1-122222222222-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000
χ2922222222-12-1-1-122222-2-2-2-222-1-1-1-1222211111111-1-2-2-1-1-11111-2-2-2-211111111-1-1-1-1-1-122-1-122-2-2-2-2-1-1-1-11111-1-1-1-111110000000033−3−333−3−333−3−333−3−300000000000000000000
χ3022222222-12-1-1-122222-2-2-2-222-1-1-1-1222211111111-1-2-2-1-1-11111-2-2-2-211111111-1-1-1-1-1-122-1-122-2-2-2-2-1-1-1-11111-1-1-1-1111100000000−3−333−3−333−3−333−3−33300000000000000000000
χ3122222222-12-1-1-1222-2-22222-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-1-1-11111-2-2-2-211111111-1-1-1-111-2-211-2-222221111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ3222222222-12-1-1-1222-2-22222-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-1-1-11111-2-2-2-211111111-1-1-1-111-2-211-2-222221111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ3322222222-12-1-1-1222-2-2-2-2-2-2-2-2-1-1-1-1222211111111-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-111-2-211-2-2-2-2-2-211111111111111112i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii00000000000000000000
χ3422222222-12-1-1-1222-2-2-2-2-2-2-2-2-1-1-1-1222211111111-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-111-2-211-2-2-2-2-2-21111111111111111−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i00000000000000000000
χ352222-2-2-2-2222222222i−2i−2i−2i2i2i2i−2i-2-2-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i2-22222-2-222-2-222-2-2-2-22222-2-2-2-22i2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000
χ362222-2-2-2-222222222−2i2i2i2i−2i−2i−2i2i-2-2-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i2-22222-2-222-2-222-2-2-2-22222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000
χ372222-2-2-2-22-1222-1-1-12i−2i2i2i−2i−2i2i−2i-2-2-2-211112i2i2i2i−2i−2i−2i−2i-12-2-1-1-122-2-2-1-111-1-1-1-1111111112i2i−i−i−2i−2iii−i−iii−i−i−i−i−i−i−i−iiiiiiiii0000000000000000000000002-22i−2i-1-111−i−iii00000000
χ382222-2-2-2-22-1222-1-1-12i−2i2i2i−2i−2i2i−2i-2-2-2-211112i2i2i2i−2i−2i−2i−2i-12-2-1-1-122-2-2-1-111-1-1-1-1111111112i2i−i−i−2i−2iii−i−iii−i−i−i−i−i−i−i−iiiiiiiii000000000000000000000000-22−2i2i11-1-1ii−i−i00000000
χ392222-2-2-2-22-1222-1-1-12i−2i−2i−2i2i2i2i−2i-2-2-2-21111−2i−2i−2i−2i2i2i2i2i-1-22-1-1-1-2-22211-1-11111-1-1-1-111112i2i−i−i−2i−2iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000−i3i3i3−i33−3−3300000000
χ402222-2-2-2-22-1222-1-1-12i−2i−2i−2i2i2i2i−2i-2-2-2-21111−2i−2i−2i−2i2i2i2i2i-1-22-1-1-1-2-22211-1-11111-1-1-1-111112i2i−i−i−2i−2iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000i3−i3−i3i3−333−300000000
χ412222-2-2-2-22-1222-1-1-1−2i2i2i2i−2i−2i−2i2i-2-2-2-211112i2i2i2i−2i−2i−2i−2i-1-22-1-1-1-2-22211-1-11111-1-1-1-11111−2i−2iii2i2i−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000−i3i3i3−i3−333−300000000
χ422222-2-2-2-22-1222-1-1-1−2i2i2i2i−2i−2i−2i2i-2-2-2-211112i2i2i2i−2i−2i−2i−2i-1-22-1-1-1-2-22211-1-11111-1-1-1-11111−2i−2iii2i2i−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000i3−i3−i3i33−3−3300000000
χ432222-2-2-2-22-1222-1-1-1−2i2i−2i−2i2i2i−2i2i-2-2-2-21111−2i−2i−2i−2i2i2i2i2i-12-2-1-1-122-2-2-1-111-1-1-1-111111111−2i−2iii2i2i−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i0000000000000000000000002-2−2i2i-1-111ii−i−i00000000
χ442222-2-2-2-22-1222-1-1-1−2i2i−2i−2i2i2i−2i2i-2-2-2-21111−2i−2i−2i−2i2i2i2i2i-12-2-1-1-122-2-2-1-111-1-1-1-111111111−2i−2iii2i2i−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i000000000000000000000000-222i−2i11-1-1−i−iii00000000
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Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.