Finite Group Databasebeta

← Group #11772226

Character table — Group #11772226

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444418181818181818181818181818181818242424242424242424242424242424242424242424242424
order12224444334444666666888888881212121212121212366612121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424161616161616161616161616161616168888888824242424242424242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ51111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i
χ61111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii
χ71111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii
χ81111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ911-1-1i−ii−i11i−i1-111-1-1-1-1ii−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−iiiii−i−i−i−i11-1-111-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26
χ1011-1-1i−ii−i11i−i1-111-1-1-1-1ii−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−iiiii−i−i−i−i11-1-111-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26
χ1111-1-1i−ii−i11i−i1-111-1-1-1-1ii−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−iiiii−i−i−i−i11-1-111-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiiiζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26
χ1211-1-1i−ii−i11i−i1-111-1-1-1-1ii−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−iiiii−i−i−i−i11-1-111-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26
χ1311-1-1−ii−ii11−ii1-111-1-1-1-1−i−iii11-1-1−i−iii−i−iii11-1-1−i−iii−i−i−i−iiiii11-1-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46
χ1411-1-1−ii−ii11−ii1-111-1-1-1-1−i−iii11-1-1−i−iii−i−iii11-1-1−i−iii−i−i−i−iiiii11-1-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiiiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46
χ1511-1-1−ii−ii11−ii1-111-1-1-1-1−i−iii11-1-1−i−iii−i−iii11-1-1−i−iii−i−i−i−iiiii11-1-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46
χ1611-1-1−ii−ii11−ii1-111-1-1-1-1−i−iii11-1-1−i−iii−i−iii11-1-1−i−iii−i−i−i−iiiii11-1-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−iζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46
χ1722222222222222222222-2-2-2-2-2-2-2-222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ182222222222-2-2-2-222222200000000222222222222-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022−2−222−2−222−2−222−2−2000000000000000000000000
χ192222222222-2-2-2-222222200000000222222222222-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000−2−222−2−222−2−222−2−222000000000000000000000000
χ20222222222-122222-122-1-1222222222-12-12-12-1-1-1-1-12-12-1-1-1-1-1-1-1-1-12-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000000000000222200000000-1-1-1-1-1-1-1-1
χ21222222222-122222-122-1-1222222222-12-12-12-1-1-1-1-12-12-1-1-1-1-1-1-1-1-12-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000000000000-2-2-2-20000000011111111
χ22222222222-122222-122-1-1-2-2-2-2-2-2-2-22-12-12-12-1-1-1-1-12-12-1-1-1-1-1-1-1-1-12-12-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-211111100000000000000000000000000000000−i3i3−i3i3−i3i3−i3i3
χ23222222222-122222-122-1-1-2-2-2-2-2-2-2-22-12-12-12-1-1-1-1-12-12-1-1-1-1-1-1-1-1-12-12-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-211111100000000000000000000000000000000i3−i3i3−i3i3−i3i3−i3
χ2422222222-122222-12-1-12222222222-12-12-12-12-1-1-1-1-12-12-1-1-1-1-1-1-1-1-12-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000000022220000-1-1-1-1-1-1-1-100000000
χ2522222222-122222-12-1-12222222222-12-12-12-12-1-1-1-1-12-12-1-1-1-1-1-1-1-1-12-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000000000000-2-2-2-200001111111100000000
χ2622222222-122222-12-1-122-2-2-2-2-2-2-2-2-12-12-12-12-1-1-1-1-12-12-1-1-1-1-1-1-1-1-12-12-1-1-1-111-2-2111111-2-2111111-2-2111111-2-21111000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ2722222222-122222-12-1-122-2-2-2-2-2-2-2-2-12-12-12-12-1-1-1-1-12-12-1-1-1-1-1-1-1-1-12-12-1-1-1-111-2-2111111-2-2111111-2-2111111-2-21111000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ282222-2-2-2-22222-2-222222200000000-2-2-2-2-2-2-2-222222222-2-222-2-222-2-2-2-2-2-2-2-20000000000000000000000000000000022−2−222−2−2−2−222−2−222000000000000000000000000
χ292222-2-2-2-22222-2-222222200000000-2-2-2-2-2-2-2-222222222-2-222-2-222-2-2-2-2-2-2-2-200000000000000000000000000000000−2−222−2−22222−2−222−2−2000000000000000000000000
χ302222-2-2-2-222-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222220000000000000000000000000000000000000000
χ312222-2-2-2-22-1-2-2222-122-1-12222-2-2-2-2-21-21-21-21-1-1-1-1-21-21111111112-12-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000000000003−33−3−33−33
χ322222-2-2-2-22-1-2-2222-122-1-12222-2-2-2-2-21-21-21-21-1-1-1-1-21-21111111112-12-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-100000000000000000000000000000000−33−333−33−3
χ332222-2-2-2-22-1-2-2222-122-1-1-2-2-2-22222-21-21-21-21-1-1-1-1-21-21111111112-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111000000000000000000002i2i−2i−2i00000000−i−i−i−iiiii
χ342222-2-2-2-22-1-2-2222-122-1-1-2-2-2-22222-21-21-21-21-1-1-1-1-21-21111111112-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-211111100000000000000000000−2i−2i2i2i00000000iiii−i−i−i−i
χ352222-2-2-2-2-12-2-222-12-1-1222222-2-2-2-21-21-21-21-2-1-1-1-11-21-211111111-12-12-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-10000000000000000000000003−33−3−33−3300000000
χ362222-2-2-2-2-12-2-222-12-1-1222222-2-2-2-21-21-21-21-2-1-1-1-11-21-211111111-12-12-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000−33−333−33−300000000
χ372222-2-2-2-2-12-2-222-12-1-122-2-2-2-222221-21-21-21-2-1-1-1-11-21-211111111-12-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111100000000000000002i2i−2i−2i0000−i−i−i−iiiii00000000
χ382222-2-2-2-2-12-2-222-12-1-122-2-2-2-222221-21-21-21-2-1-1-1-11-21-211111111-12-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-211110000000000000000−2i−2i2i2i0000iiii−i−i−i−i00000000
χ3922-2-22i−2i2i−2i222i−2i2-222-2-2-2-2−2i−2i2i2i-2-2222i2i−2i−2i2i2i−2i−2i22-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i22-2-222-2-2-2-2-2-2-2-2-2-222222222−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i0000000000000000000000000000000000000000
χ4022-2-22i−2i2i−2i22−2i2i-2222-2-2-2-2000000002i2i−2i−2i2i2i−2i−2i22-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i-2-222-2-2220000000000000000000000000000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ4122-2-22i−2i2i−2i22−2i2i-2222-2-2-2-2000000002i2i−2i−2i2i2i−2i−2i22-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i-2-222-2-22200000000000000000000000000000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ4222-2-22i−2i2i−2i2-12i−2i2-22-1-2-2112i2i−2i−2i22-2-22i−i−2ii2i−i−2ii-1-1112i−i−2ii−i−i−i−iiiii2-1-21-1-11122-1-1-1-1-1-1-2-21111112i2i−i−i−i−i−i−i−2i−2iiiiiii000000000000000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ2600000000−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26
χ4322-2-22i−2i2i−2i2-12i−2i2-22-1-2-2112i2i−2i−2i22-2-22i−i−2ii2i−i−2ii-1-1112i−i−2ii−i−i−i−iiiii2-1-21-1-11122-1-1-1-1-1-1-2-21111112i2i−i−i−i−i−i−i−2i−2iiiiiii00000000000000000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ2600000000ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26
χ4422-2-22i−2i2i−2i2-12i−2i2-22-1-2-211−2i−2i2i2i-2-2222i−i−2ii2i−i−2ii-1-1112i−i−2ii−i−i−i−iiiii2-1-21-1-111-2-211111122-1-1-1-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i00000000000000000000000000000000−ζ14+ζ46ζ14−ζ46ζ14−ζ46−ζ14+ζ46−ζ10+ζ26ζ10−ζ26ζ10−ζ26−ζ10+ζ26
χ4522-2-22i−2i2i−2i2-12i−2i2-22-1-2-211−2i−2i2i2i-2-2222i−i−2ii2i−i−2ii-1-1112i−i−2ii−i−i−i−iiiii2-1-21-1-111-2-211111122-1-1-1-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i00000000000000000000000000000000ζ14−ζ46−ζ14+ζ46−ζ14+ζ46ζ14−ζ46ζ10−ζ26−ζ10+ζ26−ζ10+ζ26ζ10−ζ26
χ4622-2-22i−2i2i−2i-122i−2i2-2-1211-2-22i2i−2i−2i22-2-2−i2ii−2i−i2ii−2i-1-111−i2ii−2i−i−i−i−iiiii-121-2-1-111-1-122-1-1-1-111-2-21111−i−i2i2i−i−i−i−iii−2i−2iiiii00000000000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ260000−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2600000000
χ4722-2-22i−2i2i−2i-122i−2i2-2-1211-2-22i2i−2i−2i22-2-2−i2ii−2i−i2ii−2i-1-111−i2ii−2i−i−i−i−iiiii-121-2-1-111-1-122-1-1-1-111-2-21111−i−i2i2i−i−i−i−iii−2i−2iiiii0000000000000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ260000ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2600000000
χ4822-2-22i−2i2i−2i-122i−2i2-2-1211-2-2−2i−2i2i2i-2-222−i2ii−2i−i2ii−2i-1-111−i2ii−2i−i−i−i−iiiii-121-2-1-11111-2-21111-1-122-1-1-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i000000000000000000000000−ζ14+ζ46ζ14−ζ46ζ14−ζ46−ζ14+ζ46−ζ10+ζ26ζ10−ζ26ζ10−ζ26−ζ10+ζ2600000000
χ4922-2-22i−2i2i−2i-122i−2i2-2-1211-2-2−2i−2i2i2i-2-222−i2ii−2i−i2ii−2i-1-111−i2ii−2i−i−i−i−iiiii-121-2-1-11111-2-21111-1-122-1-1-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i000000000000000000000000ζ14−ζ46−ζ14+ζ46−ζ14+ζ46ζ14−ζ46ζ10−ζ26−ζ10+ζ26−ζ10+ζ26ζ10−ζ2600000000
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χ1324-4-44−4i4i4i−4i-2-20000222-22-22i2−2i2−2i22i2−222222−222i2i−2i−2i−2i−2i2i2i1-1-110000−ii-33i−i3-30000−3i3i3i−3i2−22−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−22−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46−i2i2−i2i22ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ46i2−i2i2−i2−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ460000000000000000000000000000000000000000

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