Finite Group Databasebeta

← Group #11771567

Character table — Group #11771567

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11111111222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444448888888888888888888888888888888888881818181818181818181818181818181872727272
order122244443333444466666666666688888888121212121212121212121212121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242244666666666666666612121212121212121212121212121212161616161616161616161616161616168888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i
χ61111-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii
χ71111-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiiiiiii−i−i−i−i−i−i−i−i−i−iii
χ81111-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−i−i−i−i−iiiiiiiiiii−i−i
χ911-1-1i−ii−i1111i−i1-11111-1-1-1-1-1-1-1-111-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ1011-1-1i−ii−i1111i−i1-11111-1-1-1-1-1-1-1-111-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ1111-1-1i−ii−i1111i−i1-11111-1-1-1-1-1-1-1-111-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−ii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ1211-1-1i−ii−i1111i−i1-11111-1-1-1-1-1-1-1-111-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−ii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ1311-1-1−ii−ii1111−ii1-11111-1-1-1-1-1-1-1-111-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii1111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ1411-1-1−ii−ii1111−ii1-11111-1-1-1-1-1-1-1-111-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii1111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ1511-1-1−ii−ii1111−ii1-11111-1-1-1-1-1-1-1-111-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii1111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ1611-1-1−ii−ii1111−ii1-11111-1-1-1-1-1-1-1-111-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii1111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−iζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ172222222222222222222222222222-2-2-2-2-2-2-2-222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ18222222222222-2-2-2-2222222222222000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000022−2−222−2−222−2−222−2−20000
χ19222222222222-2-2-2-2222222222222000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000−2−222−2−222−2−222−2−2220000
χ20222222222-1-1-122222-1-1-12-1-1-12-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000000000000
χ21222222222-1-1-122222-1-1-12-1-1-12-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2111111-2-2111111-2-2111111-2-211111100000000000000000000
χ22222222222-1-1-122222-1-1-12-1-1-12-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111000000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300000000000000000000
χ23222222222-1-1-122222-1-1-12-1-1-12-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111000000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300000000000000000000
χ2422222222-12-1-12222-12-1-1-12-1-1-12-1-122222222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12222-1-12-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-100000000000000000000
χ2522222222-12-1-12222-12-1-1-12-1-1-12-1-122222222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-211-211-21111-211-21111-211-21111-211-21100000000000000000000
χ2622222222-12-1-12222-12-1-1-12-1-1-12-1-1-2-2-2-2-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-211110000−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3−i3i30−i3i30−i3i300000000000000000000
χ2722222222-12-1-12222-12-1-1-12-1-1-12-1-1-2-2-2-2-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-211110000i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3i3−i30i3−i30i3−i300000000000000000000
χ2822222222-1-12-12222-1-12-1-1-12-1-1-12-122222222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-12222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1200000000000000000000
χ2922222222-1-12-12222-1-12-1-1-12-1-1-12-122222222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-2111-2111-2111-2111-2111-2111-2111-2111-200000000000000000000
χ3022222222-1-12-12222-1-12-1-1-12-1-1-12-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1-1-12-11111-2-2111111-2-2111111-2-2111111-2-2110000−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30−i3i3i30−i3−i3i3000000000000000000000
χ3122222222-1-12-12222-1-12-1-1-12-1-1-12-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1-1-12-11111-2-2111111-2-2111111-2-2111111-2-2110000i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30i3−i3−i30i3i3−i3000000000000000000000
χ3222222222-1-1-122222-1-1-12-1-1-12-1-1-1222222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-12-12-1-1-1-1-12-12-1-1-1-1-12-12-1-1-1-1-12-12-100000000000000000000
χ3322222222-1-1-122222-1-1-12-1-1-12-1-1-1222222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-21111-21-211111-21-211111-21-211111-21-2100000000000000000000
χ3422222222-1-1-122222-1-1-12-1-1-12-1-1-12-2-2-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12111111-2-2111111-2-2111111-2-2111111-2-20000−i3i3−i3i30i30−i3−i3i3−i3i30i30−i3−i3i3−i3i30i30−i3−i3i3−i3i30i30−i300000000000000000000
χ3522222222-1-1-122222-1-1-12-1-1-12-1-1-12-2-2-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12111111-2-2111111-2-2111111-2-2111111-2-20000i3−i3i3−i30−i30i3i3−i3i3−i30−i30i3i3−i3i3−i30−i30i3i3−i3i3−i30−i30i300000000000000000000
χ362222-2-2-2-2222222-2-222222222222200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000
χ372222-2-2-2-2222222-2-222222222222200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000
χ382222-2-2-2-22222-2-222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222200000000000000000000000000000000000000000000000000000000
χ392222-2-2-2-22-1-1-1-2-2222-1-1-12-1-1-12-1-1-12222-2-2-2-2-2-2111111-2-2111111-2111-21112-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-211111122-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-211111100000000000000000000
χ402222-2-2-2-22-1-1-1-2-2222-1-1-12-1-1-12-1-1-12222-2-2-2-2-2-2111111-2-2111111-2111-21112-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-222-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-100000000000000000000
χ412222-2-2-2-22-1-1-1-2-2222-1-1-12-1-1-12-1-1-1-2-2-2-22222-2-2111111-2-2111111-2111-21112-1-1-12-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1000000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300000000000000000000
χ422222-2-2-2-22-1-1-1-2-2222-1-1-12-1-1-12-1-1-1-2-2-2-22222-2-2111111-2-2111111-2111-21112-1-1-12-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1000000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300000000000000000000
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χ1554-4-44-4-444-2-2-240000222-4222-4-2-2-2422−22−222222−22−22222-22-22-2-44-22-22-224-40000000000000000−22−22−2222−222−22−22−2−2222−22−22−2222−222−22−22−2−222200000000000000000000000000000000000000000000000000000000
χ1564-4-44-4-444-2-2-240000222-4222-4-2-2-24−222222−22−222222−222-22-22-2-44-22-22-224-400000000000000002−22−22−2−2222−22−22−2222−222−22−22−2−2222−22−22−2222−2200000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.