Finite Group Databasebeta

← Group #14416718

Character table — Group #14416718

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size111122222222222222222244444444444444444444444444444444444444888888888888888888888888888888888888121212121212121215151515202020202020202024242424242424242424242424242424303030303030404040404040404060606060
order12222234444556661010101010104444661010101012121212151520202020202020203030303030306060606060606060121212122020202020202020303030306060606060606060606060606060606060606060222288884444444488881010101010101010404040404040404044444412121212242424242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1
χ81111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111
χ91111-1-11-1-1111111111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-111
χ101111-1-11-1-1111111111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1
χ111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111
χ121111-1-11-1-1111111111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-111-1-111-1-1
χ131111-1-11-1-11111111111111-1-111-1-1-1-1-1-11-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1
χ141111-1-11-1-11111111111111-1-111-1-1-1-1-1-11-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111
χ151111-1-11-1-11111111111111-1-111-1-1-1-1-1-11-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1
χ161111-1-11-1-11111111111111-1-111-1-1-1-1-1-11-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-111
χ1711-1-11-111-1-11111-1-111-1-1-1-1i−ii−i1-111-1-1-11-11111111-1-1-1-111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−iii−i−ii−ii−i1-11-111-1-111-1-1ii−i−iii−i−ii−ii−ii−ii−ii−i1-11-11-11-1
χ1811-1-11-111-1-11111-1-111-1-1-1-1i−ii−i1-111-1-1-11-11111111-1-1-1-111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i−i−iii−ii−ii-11-1111-1-111-1-1ii−i−iii−i−i−ii−ii−ii−ii−ii-11-11-11-11
χ1911-1-11-111-1-11111-1-111-1-1-1-1i−ii−i1-111-1-1-11-11111111-1-1-1-111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−iiii−i−i−ii−ii-11-11-1-111-1-111−i−iii−i−iiii−ii−ii−i−ii−ii-11-111-11-1
χ2011-1-11-111-1-11111-1-111-1-1-1-1i−ii−i1-111-1-1-11-11111111-1-1-1-111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii−i−iiii−ii−i1-11-1-1-111-1-111−i−iii−i−iii−ii−ii−iii−ii−i1-11-1-11-11
χ2111-1-11-111-1-11111-1-111-1-1-1-1−ii−ii1-111-1-1-11-11111111-1-1-1-111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−iiii−i−ii−ii−i-11-1111-1-111-1-1−i−iii−i−iiii−ii−ii−ii−ii−i-11-11-11-11
χ2211-1-11-111-1-11111-1-111-1-1-1-1−ii−ii1-111-1-1-11-11111111-1-1-1-111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii−i−iii−ii−ii1-11-111-1-111-1-1−i−iii−i−iii−ii−ii−ii−ii−ii1-11-11-11-1
χ2311-1-11-111-1-11111-1-111-1-1-1-1−ii−ii1-111-1-1-11-11111111-1-1-1-111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−iii−i−i−ii−ii1-11-1-1-111-1-111ii−i−iii−i−ii−ii−ii−i−ii−ii1-11-1-11-11
χ2411-1-11-111-1-11111-1-111-1-1-1-1−ii−ii1-111-1-1-11-11111111-1-1-1-111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i−i−iiii−ii−i-11-11-1-111-1-111ii−i−iii−i−i−ii−ii−iii−ii−i-11-111-11-1
χ2511-1-1-111-11-11111-1-111-1-1-1-1i−i−ii-11-1-111-1-1111111-1-111-1-111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−iiii−i−ii−i−ii1-1-1111-1-1-1-111ii−i−i−i−iiii−i−ii−iii−i−ii1-1-11-111-1
χ2611-1-1-111-11-11111-1-111-1-1-1-1i−i−ii-11-1-111-1-1111111-1-111-1-111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−ii−i−iii−iii−i-111-111-1-1-1-111ii−i−i−i−iii−iii−ii−i−iii−i-111-11-1-11
χ2711-1-1-111-11-11111-1-111-1-1-1-1i−i−ii-11-1-111-1-1111111-1-111-1-111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−iii−i−i−iii−i-111-1-1-11111-1-1−i−iiiii−i−ii−i−ii−ii−iii−i-111-1-111-1
χ2811-1-1-111-11-11111-1-111-1-1-1-1i−i−ii-11-1-111-1-1111111-1-111-1-111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i−i−iiii−i−ii1-1-11-1-11111-1-1−i−iiiii−i−i−iii−ii−ii−i−ii1-1-111-1-11
χ2911-1-1-111-11-11111-1-111-1-1-1-1−iii−i-11-1-111-1-1111111-1-111-1-111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−iii−i−ii−i−ii-111-111-1-1-1-111−i−iiiii−i−ii−i−ii−iii−i−ii-111-11-1-11
χ3011-1-1-111-11-11111-1-111-1-1-1-1−iii−i-11-1-111-1-1111111-1-111-1-111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i−i−iii−iii−i1-1-1111-1-1-1-111−i−iiiii−i−i−iii−ii−i−iii−i1-1-11-111-1
χ3111-1-1-111-11-11111-1-111-1-1-1-1−iii−i-11-1-111-1-1111111-1-111-1-111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−iiii−i−i−iii−i1-1-11-1-11111-1-1ii−i−i−i−iiii−i−ii−ii−iii−i1-1-111-1-11
χ3211-1-1-111-11-11111-1-111-1-1-1-1−iii−i-11-1-111-1-1111111-1-111-1-111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii−i−iiii−i−ii-111-1-1-11111-1-1ii−i−i−i−iii−iii−ii−ii−i−ii-111-1-111-1
χ3322222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222222222000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ3422222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-20000000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000
χ3522222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−522222-2-2-2-2000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000000000000000
χ3622222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52-2-2-2-222220000000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ3722222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222222222000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ3822222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-20000000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000
χ3922222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+522222-2-2-2-2000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000
χ4022222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52-2-2-2-222220000000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ412222222-2-2-2-2222222222220000222222-2-2-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-20000000000002222-2-2-2-20000000000000000000000002222000000000000000000000000-2-2-2-222000000000000
χ422222222-2-2-2-2222222222220000222222-2-2-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-20000000000002222-2-2-2-2000000000000000000000000-2-2-2-20000000000000000000000002222-2-2000000000000
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χ1488-8-8800-40000−2−25−2+2544-42+252−252+25−2−252−25−2+25000000000000001+51−500000000−1−5−1+5−1−51+5−1+51−5−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ592ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ59−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1498-8-8800-40000−2+25−2−2544-42−252+252−25−2+252+25−2−25000000000000001−51+500000000−1+5−1−5−1+51−5−1−51+5−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ592ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1508-8-8800-40000−2+25−2−2544-42−252+252−25−2+252+25−2−25000000000000001−51+500000000−1+5−1−5−1+51−5−1−51+52ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ59−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.