Finite Group Databasebeta

← Group #14495593

Character table — Group #14495593

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171
size1111222222222222222222222222222244444444444444488888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888815151515606060606060606060606060606060
order122235566610101010101015151515303030303030303030303030222244444444444666610101010101010101212121212121212121212202020202020202020202020202020202020202020203030303030303030303030303030303060606060606060606060606060606060606060606060606060606060606060606060606060606060606060604444244444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-11111-1-1-1-1-1-1111-1111111-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-11111-1-1-1-1-1-1111-1111111-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1111111
χ51111111111111111111111111111111111-11-11-1-1-1111-1-1-111-111111-1-111-11-1-1-1111-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1111-1-1-1
χ61111111111111111111111111111111111-11-11-1-1-1111-1-1-111-111111-1-111-11-1-1-1111-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1111-1-1-1111
χ71111111111111111111111111111111111-1-111-1-1-1-1-1-111111-1-11111-1-1-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-11-1-1-1-1-1-1111
χ81111111111111111111111111111111111-1-111-1-1-1-1-1-111111-1-11111-1-1-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-111-1111111-1-1-1
χ9111111111111111111111111111111111-111-1-11-1-11-1-111-11-11111-1-11111-1-11-1-11-1-111-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-11-111-11-1-11-1-111-1
χ10111111111111111111111111111111111-111-1-11-1-11-1-111-11-11111-1-11111-1-11-1-11-1-111-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-11-111-111-1-11
χ11111111111111111111111111111111111-11-11-11-1-1-111-1-111-11-111-1-111-1-11-11-1-1-111-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-11-1-11-1-1-111-1-11
χ12111111111111111111111111111111111-11-11-11-1-1-111-1-111-11-111-1-111-1-11-11-1-1-111-1-1111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-111-1111-1-111-1
χ13111111111111111111111111111111111-1-111-1-1111-1-1-1-111-1-1111-1-1-1-1111-1-1111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-1111-1-1-1-11
χ14111111111111111111111111111111111-1-111-1-1111-1-1-1-111-1-1111-1-1-1-1111-1-1111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-1-11111-1
χ15111111111111111111111111111111111-1-1-1-1-1-111-11111-11-1-1-111-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-11111-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-11111-11-1-1-1-1-111-11111-1
χ16111111111111111111111111111111111-1-1-1-1-1-111-11111-11-1-1-111-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-11111-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-111111-1-11-1-1-1-11
χ1711111111111111111111111111111111-1111-1-1-11-1-11-11-11-1111-1-1111111-1-1-11-1-11-11-11-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1111-1-11-1-11-11-11
χ1811111111111111111111111111111111-1111-1-1-11-1-11-11-11-1111-1-1111111-1-1-11-1-11-11-11-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-111-111-11-11-1
χ1911111111111111111111111111111111-111-11-1-11-11-11-11-1-111-1-1-11111-1-11-1-11-11-11-11-111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-111-1-1-11-11-11-11-1
χ2011111111111111111111111111111111-111-11-1-11-11-11-11-1-111-1-1-11111-1-11-1-11-11-11-11-111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111-11-11-11-11
χ2111111111111111111111111111111111-11-111-11-11-11-1-11-1-11-11-1-111-1-1111-11-11-11-1-11-111-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-11-11-11-11-1-11-1
χ2211111111111111111111111111111111-11-111-11-11-11-1-11-1-11-11-1-111-1-1111-11-11-11-1-11-111-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-11-11-11-111-11
χ2311111111111111111111111111111111-11-1-1-1-11-111-111-11-11-1-1-1-111-1-1-1-1-1-11-111-111-11-1-1-1-111-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-11-1-1-11-111-111-11
χ2411111111111111111111111111111111-11-1-1-1-11-111-111-11-11-1-1-1-111-1-1-1-1-1-11-111-111-11-1-1-1-111-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1111-11-1-11-1-11-1
χ2511111111111111111111111111111111-1-11111-1-11-1-111-1-1-1-111-1-1-1-1111111-1-11-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-11-1-111-1-1
χ2611111111111111111111111111111111-1-11111-1-11-1-111-1-1-1-111-1-1-1-1111111-1-11-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-111-1-111
χ2711111111111111111111111111111111-1-11-1-11-1-1111-1-111-1-11-1-1-1-1-111-1-1-11-1-1111-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-11-11-1-1111-1-111
χ2811111111111111111111111111111111-1-11-1-11-1-1111-1-111-1-11-1-1-1-1-111-1-1-11-1-1111-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111-11-111-1-1-111-1-1
χ2911111111111111111111111111111111-1-1-11-1111-1-1-11-111-1-1-11-1-1-1-1-1-111-1111-1-1-11-111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-11-111
χ3011111111111111111111111111111111-1-1-11-1111-1-1-11-111-1-1-11-1-1-1-1-1-111-1111-1-1-11-111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1111-11-1-1
χ3111111111111111111111111111111111-1-1-1-11111-111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-11-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1111-111-11-1-1
χ3211111111111111111111111111111111-1-1-1-11111-111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-11-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-11-111
χ3322222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222222222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000
χ3422222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222-2-22222-2-2-2-2-2-2222-2−1−52−1+52−1−52−1+52−1−52−1+521+521−52-22222-2-2-2-2-2-21+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+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000000
χ3522222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-22-22-2-2-2222-2-2-222-22−1−52−1+52−1−52−1+521+521−52−1−52−1+52-22-2-2-2222-2-2-21+521−52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+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+521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000000
χ3622222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-222-2-2-2-2-2-222222-2-2−1−52−1+52−1−52−1+521+521−521+521−5222-2-2-2-2-2-2222−1−52−1+52−1−52−1+521+521−521+521−521+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+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+521−521−521+521+521−521−521+521+521−521−521+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+520000000000000000000
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χ1698-8-88-4−2−25−2+2544-42+252−252+25−2−252−25−2+25−4ζ14−4ζ46−4ζ26−4ζ34−4ζ2−4ζ58−4ζ22−4ζ384ζ14+4ζ464ζ26+4ζ344ζ2+4ζ584ζ22+4ζ384ζ14+4ζ46−4ζ14−4ζ464ζ26+4ζ34−4ζ26−4ζ344ζ2+4ζ58−4ζ2−4ζ584ζ22+4ζ38−4ζ22−4ζ380000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1708-8-88-4−2+25−2−2544-42−252+252−25−2+252+25−2−25−4ζ22−4ζ38−4ζ2−4ζ58−4ζ14−4ζ46−4ζ26−4ζ344ζ22+4ζ384ζ2+4ζ584ζ14+4ζ464ζ26+4ζ344ζ22+4ζ38−4ζ22−4ζ384ζ2+4ζ58−4ζ2−4ζ584ζ14+4ζ46−4ζ14−4ζ464ζ26+4ζ34−4ζ26−4ζ340000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1718-8-88-4−2+25−2−2544-42−252+252−25−2+252+25−2−25−4ζ2−4ζ58−4ζ22−4ζ38−4ζ26−4ζ34−4ζ14−4ζ464ζ2+4ζ584ζ22+4ζ384ζ26+4ζ344ζ14+4ζ464ζ2+4ζ58−4ζ2−4ζ584ζ22+4ζ38−4ζ22−4ζ384ζ26+4ζ34−4ζ26−4ζ344ζ14+4ζ46−4ζ14−4ζ460000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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