Finite Group Databasebeta

← Group #14296529

Character table — Group #14296529

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111222222222222224444444444444444444444444444444444444444555588888888888888888888888888888888888810101010101010101010101010102020202020202020202020202020202060606060606060606060606060606060
order12442346668888121212124458810101012121212151520202020242424242424242430303030303060606060606060602244202020204040404040404040606060606060606012012012012012012012012012012012012012012012012024666688881212121244881212121224242424242424244444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ5111111111111111111-1-11-1-1111-1-1-1-11111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ6111111111111111111-1-11-1-1111-1-1-1-11111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ7111111111111111111-1-11-1-1111-1-1-1-11111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ8111111111111111111-1-11-1-1111-1-1-1-11111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ91111111111-1-1-1-11111111-1-11111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111
χ101111111111-1-1-1-11111111-1-11111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1
χ111111111111-1-1-1-11111111-1-11111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111ii−i−i−i−iii−i−iiiii−i−i
χ121111111111-1-1-1-11111111-1-11111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111−i−iiiii−i−iii−i−i−i−iii
χ131111111111-1-1-1-11111-1-1111111-1-1-1-1111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ141111111111-1-1-1-11111-1-1111111-1-1-1-1111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ151111111111-1-1-1-11111-1-1111111-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii
χ161111111111-1-1-1-11111-1-1111111-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i
χ1711-1-1-1111-1-1ii−i−i11-1-1i−i11-11-1-1ii−i−i1111-1-1ii−i−i11-1-111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1111-1-1ii−i−i11-1-1i−i1-1ii−i−iii−i−i11-1-11-11-11-11-1i−ii−ii−ii−i
χ1811-1-1-1111-1-1ii−i−i11-1-1i−i11-11-1-1ii−i−i1111-1-1ii−i−i11-1-111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1111-1-1ii−i−i11-1-1i−i1-1ii−i−iii−i−i11-1-1-11-11-11-11−ii−ii−ii−ii
χ1911-1-1-1111-1-1ii−i−i11-1-1i−i11-11-1-1ii−i−i1111-1-1ii−i−i11-1-111-1-1-1-11111-1-1-1-1-1-111ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-1-1-111−i−iii-1-111−ii-11−i−iii−i−iii-1-111i−ii−i−ii−ii-11-111-11-1
χ2011-1-1-1111-1-1ii−i−i11-1-1i−i11-11-1-1ii−i−i1111-1-1ii−i−i11-1-111-1-1-1-11111-1-1-1-1-1-111ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-1-1-111−i−iii-1-111−ii-11−i−iii−i−iii-1-111−ii−iii−ii−i1-11-1-11-11
χ2111-1-1-1111-1-1ii−i−i11-1-1−ii1-111-1-1−i−iii1111-1-1ii−i−i-1-11111-1-1-1-11111-1-1-1-111-1-1−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1111-1-1ii−i−i11-1-1−ii-11−i−iiiii−i−i-1-1111-1-111-1-11i−i−iii−i−ii
χ2211-1-1-1111-1-1ii−i−i11-1-1−ii1-111-1-1−i−iii1111-1-1ii−i−i-1-11111-1-1-1-11111-1-1-1-111-1-1−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1111-1-1ii−i−i11-1-1−ii-11−i−iiiii−i−i-1-111-111-1-111-1−iii−i−iii−i
χ2311-1-1-1111-1-1ii−i−i11-1-1−ii1-111-1-1−i−iii1111-1-1ii−i−i-1-11111-1-1-1-11111-1-1-1-1-1-111−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-1-1-111−i−iii-1-111i−i1-1ii−i−i−i−iii11-1-1i−i−ii−iii−i-111-11-1-11
χ2411-1-1-1111-1-1ii−i−i11-1-1−ii1-111-1-1−i−iii1111-1-1ii−i−i-1-11111-1-1-1-11111-1-1-1-1-1-111−i−iiiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-1-1-111−i−iii-1-111i−i1-1ii−i−i−i−iii11-1-1−iii−ii−i−ii1-1-11-111-1
χ2511-1-1-1111-1-1−i−iii11-1-1i−i1-111-1-1ii−i−i1111-1-1−i−iii-1-11111-1-1-1-11111-1-1-1-111-1-1ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1111-1-1−i−iii11-1-1i−i-11ii−i−i−i−iii-1-1111-1-111-1-11−iii−i−iii−i
χ2611-1-1-1111-1-1−i−iii11-1-1i−i1-111-1-1ii−i−i1111-1-1−i−iii-1-11111-1-1-1-11111-1-1-1-111-1-1ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1111-1-1−i−iii11-1-1i−i-11ii−i−i−i−iii-1-111-111-1-111-1i−i−iii−i−ii
χ2711-1-1-1111-1-1−i−iii11-1-1i−i1-111-1-1ii−i−i1111-1-1−i−iii-1-11111-1-1-1-11111-1-1-1-1-1-111ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-1-1-111ii−i−i-1-111−ii1-1−i−iiiii−i−i11-1-1i−i−ii−iii−i1-1-11-111-1
χ2811-1-1-1111-1-1−i−iii11-1-1i−i1-111-1-1ii−i−i1111-1-1−i−iii-1-11111-1-1-1-11111-1-1-1-1-1-111ii−i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-1-1-111ii−i−i-1-111−ii1-1−i−iiiii−i−i11-1-1−iii−ii−i−ii-111-11-1-11
χ2911-1-1-1111-1-1−i−iii11-1-1−ii11-11-1-1−i−iii1111-1-1−i−iii11-1-111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1111-1-1−i−iii11-1-1−ii1-1−i−iii−i−iii11-1-11-11-11-11-1−ii−ii−ii−ii
χ3011-1-1-1111-1-1−i−iii11-1-1−ii11-11-1-1−i−iii1111-1-1−i−iii11-1-111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1111-1-1−i−iii11-1-1−ii1-1−i−iii−i−iii11-1-1-11-11-11-11i−ii−ii−ii−i
χ3111-1-1-1111-1-1−i−iii11-1-1−ii11-11-1-1−i−iii1111-1-1−i−iii11-1-111-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11-1-1-111ii−i−i-1-111i−i-11ii−i−iii−i−i-1-111i−ii−i−ii−ii1-11-1-11-11
χ3211-1-1-1111-1-1−i−iii11-1-1−ii11-11-1-1−i−iii1111-1-1−i−iii11-1-111-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11-1-1-111ii−i−i-1-111i−i-11ii−i−iii−i−i-1-111−ii−iii−ii−i-11-111-11-1
χ3322222-12-1-1-12222-1-1-1-122222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ3422222-12-1-1-12222-1-1-1-122222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-21111-2-2-2-21111111111110000000000000000
χ3522222-12-1-1-12222-1-1-1-1-2-22-2-22221111-1-12222-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-11111111122-1-1-1-12222-1-1-1-1-2-2-2-21111-1-1-1-111110000000000000000
χ3622222-12-1-1-12222-1-1-1-1-2-22-2-22221111-1-12222-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-21111-2-2-2-211112222-1-1-1-11111-1-1-1-10000000000000000
χ3722222-12-1-1-1-2-2-2-2-1-1-1-1222-2-2222-1-1-1-1-1-1222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-1-1-1-1-2-2-2-2-1-1-1-122-2-2-1-1-1-1111111110000000000000000
χ3822222-12-1-1-1-2-2-2-2-1-1-1-1222-2-2222-1-1-1-1-1-1222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2111122221111-2-2221111-1-1-1-1-1-1-1-10000000000000000
χ3922222-12-1-1-1-2-2-2-2-1-1-1-1-2-22222221111-1-122221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-1-1-1-1-2-22211111111-1-1-1-10000000000000000
χ4022222-12-1-1-1-2-2-2-2-1-1-1-1-2-22222221111-1-122221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-211112222111122-2-2-1-1-1-1-1-1-1-111110000000000000000
χ412222-22-22-2-22-22-2-2-222002002-2-2000022-2-2222-22-2000022-2-2-2-2-2-2-2-22222222200002-22-200000000000022-2-222-2-200000000-2-222-2-22-22-2-2-222000000002-22-200000000000000000000
χ422222-22-22-2-22-22-2-2-222002002-2-2000022-2-2222-22-2000022-2-2-2-2-2-2-2-22222-2-2-2-200002-22-200000000000022-2-222-2-20000000022-2-222-22-2222-2-200000000-22-2200000000000000000000
χ432222-22-22-2-2-22-22-2-222002002-2-2000022-2-222-22-22000022-2-2-2-2-2-2-2-2222222220000-22-22000000000000-2-222-2-22200000000-2-222-2-2-22-22-2-22200000000-22-2200000000000000000000
χ442222-22-22-2-2-22-22-2-222002002-2-2000022-2-222-22-22000022-2-2-2-2-2-2-2-22222-2-2-2-20000-22-22000000000000-2-222-2-2220000000022-2-2222-22-222-2-2000000002-22-200000000000000000000
χ452222-2-1-2-1112-22-211-1-1002002-2-23−33−3-1-1-2-222-11-113−33−3-1-111111111-1-1-1-1222200002-22-2000033−3−333−3−3-1-111-1-11133−3−333−3−3-2-2-1-1112-22-211-1-100003−33−3-11-113−33−30000000000000000
χ462222-2-1-2-1112-22-211-1-1002002-2-23−33−3-1-1-2-222-11-113−33−3-1-111111111-1-1-1-1-2-2-2-200002-22-2000033−3−333−3−3-1-111-1-11133−3−333−3−32211-1-1-22-22-1-1110000−33−331-11-1−33−330000000000000000
χ472222-2-1-2-1112-22-211-1-1002002-2-2−33−33-1-1-2-222-11-11−33−33-1-111111111-1-1-1-1222200002-22-20000−3−333−3−333-1-111-1-111−3−333−3−333-2-2-1-1112-22-211-1-10000−33−33-11-11−33−330000000000000000
χ482222-2-1-2-1112-22-211-1-1002002-2-2−33−33-1-1-2-222-11-11−33−33-1-111111111-1-1-1-1-2-2-2-200002-22-20000−3−333−3−333-1-111-1-111−3−333−3−3332211-1-1-22-22-1-11100003−33−31-11-13−33−30000000000000000
χ492222-2-1-2-111-22-2211-1-1002002-2-23−33−3-1-1-2-2221-11-1−33−33-1-111111111-1-1-1-122220000-22-22000033−3−333−3−311-1-111-1-1−3−333−3−333-2-2-1-111-22-2211-1-100003−33−31-11-1−33−330000000000000000
χ502222-2-1-2-111-22-2211-1-1002002-2-23−33−3-1-1-2-2221-11-1−33−33-1-111111111-1-1-1-1-2-2-2-20000-22-22000033−3−333−3−311-1-111-1-1−3−333−3−3332211-1-12-22-2-1-1110000−33−33-11-113−33−30000000000000000
χ512222-2-1-2-111-22-2211-1-1002002-2-2−33−33-1-1-2-2221-11-13−33−3-1-111111111-1-1-1-122220000-22-220000−3−333−3−33311-1-111-1-133−3−333−3−3-2-2-1-111-22-2211-1-10000−33−331-11-13−33−30000000000000000
χ522222-2-1-2-111-22-2211-1-1002002-2-2−33−33-1-1-2-2221-11-13−33−3-1-111111111-1-1-1-1-2-2-2-20000-22-220000−3−333−3−33311-1-111-1-133−3−333−3−32211-1-12-22-2-1-11100003−33−3-11-11−33−330000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.