Finite Group Databasebeta

← Group #14411989

Character table — Group #14411989

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171
size112222222222222222222444444444444444444444444444444444444444444444444444444666666668888888888888888888888888888121212121212121212121212121212121212121212121212121212121212121212121212202020202020202040404040404040406060606060606060
order12222222235566610101010101022446666661010101010101010101010101010101010101010151520202020202020203030303030303030303030303030222244446612123030303030303030303030303030303060606060606060602244101010101010101010101010101010102020202020202020202020202020202044444444121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ7111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911111-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ1011111-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ1111111-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii
χ1211111-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i
χ1311111-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ1411111-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ1511111-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i
χ1611111-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii
χ17111-1-111-1-1111-1-111111111-11-11-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1i−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−i
χ18111-1-111-1-1111-1-111111111-11-11-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii
χ19111-1-111-1-1111-1-111111111-11-11-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111i−ii−ii−ii−ii−ii−ii−ii−i−ii−ii−ii−ii
χ20111-1-111-1-1111-1-111111111-11-11-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111−ii−ii−ii−ii−ii−ii−ii−iii−ii−ii−ii−i
χ21111-1-111-1-1111-1-11111111-11-111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111i−ii−i−ii−iii−ii−i−ii−iii−ii−i−ii−ii
χ22111-1-111-1-1111-1-11111111-11-111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111−ii−iii−ii−i−ii−iii−ii−i−ii−iii−ii−i
χ23111-1-111-1-1111-1-11111111-11-111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i−ii−iii−ii−i−ii−ii−ii−iii−ii−i
χ24111-1-111-1-1111-1-11111111-11-111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−ii−iii−ii−i−ii−iii−ii−ii−ii−i−ii−ii
χ25111-1-1-1-111111-1-111111111-1-111-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-111-1-111-1-11
χ26111-1-1-1-111111-1-111111111-1-111-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-111-1-111-1-111-1
χ27111-1-1-1-111111-1-111111111-1-111-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11-1-111-1-111-1-111-1-11-111-1-111-1
χ28111-1-1-1-111111-1-111111111-1-111-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-111-1-111-1-111-1-111-11-1-111-1-11
χ29111-1-1-1-111111-1-11111111-111-11-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-111-11-1-11-111-11-1-11-111-1
χ30111-1-1-1-111111-1-11111111-111-11-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111-11-1-11-111-11-1-11-111-11-1-11
χ31111-1-1-1-111111-1-11111111-111-11-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111-1-11-111-11-1-11-111-1-111-11-1-11
χ32111-1-1-1-111111-1-11111111-111-11-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-111-11-1-11-111-11-1-111-1-11-111-1
χ332222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222222222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52222222222222−1−52−1−52−1+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+52000000000000000000000000
χ342222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222222222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2-22222−1−52−1−52−1+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+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000000000
χ352222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+5222222222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+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+521−521−52000000000000000000000000
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χ1688-80000000-4−2+25−2−25−4i34i344ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ584ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ462−252+250000000000000000000000000000001−51+500000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ582ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1698-80000000-4−2+25−2−25−4i34i34−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ58−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ462−252+250000000000000000000000000000001−51+5000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ462ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1708-80000000-4−2+25−2−254i3−4i344ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ584ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ462−252+250000000000000000000000000000001−51+500000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1718-80000000-4−2+25−2−254i3−4i34−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ58−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ462−252+250000000000000000000000000000001−51+5000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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