Finite Group Databasebeta

← Group #14425763

Character table — Group #14425763

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147
size1122222222222222222224444444444444444444444444444444444444444444444888888888888888888888888888888882020202020202020202020202020202020202020202020202424242424242424242424242424242424242424120120120120
order122223444455610101010101012122244666666610101010121212121212121515202020202020202030303030303060606060606060601010101020202020303030303030303030303030606060606060606060606060222244446666666612121212121212122244101010101010101020202020202020204444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-1-1-1111-1-1-1-11111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111-1-1-1-1111-1-1-1-11111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111
χ7111111111111111111111-1-1-1-1111-1-1-1-11111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1111-1-1-1-11111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-1
χ9111111-1-1-1-1111111111-1-11-11-111111-1-11111-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-11-11-11111-1-1-1-11111-1-1-1-11-11-1
χ10111111-1-1-1-1111111111-1-11-11-111111-1-11111-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-1-11-11-1-1-1-11111-1-1-1-11111-11-11
χ11111111-1-1-1-1111111111-1-11-11-111111-1-11111-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-11-11-1-111-1-111-1-111-1-1111-11-11111-1-1-1-11111-1-1-1-1-11-11
χ12111111-1-1-1-1111111111-1-11-11-111111-1-11111-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-11-11-1-111-1-111-1-111-1-111-11-11-1-1-1-11111-1-1-1-111111-11-1
χ13111111-1-1-1-1111111111-1-1-11-11111-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1111-1-1-1-11111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-111111-1-11
χ14111111-1-1-1-1111111111-1-1-11-11111-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1111-1-1-1-11111-1-1-1-111-111-1-1-1-1-111111111-1-1-1-1-111-1
χ15111111-1-1-1-1111111111-1-1-11-11111-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-111-1-1-11111-1-1-1-11111-1-11-1-111111-1-1-1-1-1-1-1-11111-111-1
χ16111111-1-1-1-1111111111-1-1-11-11111-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-111-1-1-11111-1-1-1-11111-1-1-111-1-1-1-1-111111111-1-1-1-11-1-11
χ172222222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+522222222222222−1−52−1−52−1+52−1+522222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000002222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000
χ182222222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+522222222222222−1−52−1−52−1+52−1+522222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000000000-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000
χ192222222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2222-2-2-2-2−1−52−1−52−1+52−1+52222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+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+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000000000000022-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000
χ202222222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2222-2-2-2-2−1−52−1−52−1+52−1+52222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+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+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000000000000000-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000
χ212222222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−522222222222222−1+52−1+52−1−52−1−522222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ222222222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−522222222222222−1+52−1+52−1−52−1−522222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000
χ232222222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2222-2-2-2-2−1+52−1+52−1−52−1−52222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+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+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000000000000022-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000
χ242222222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2222-2-2-2-2−1+52−1+52−1−52−1−52222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+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+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000000000000-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ25222222-2-2-2-2−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2-22-22-222222-2-2−1−52−1−52−1+52−1+52-2-2-222-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000002-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000
χ26222222-2-2-2-2−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2-22-22-222222-2-2−1−52−1−52−1+52−1+52-2-2-222-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000000000-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000
χ27222222-2-2-2-2−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2-2-22-22222-2-222−1−52−1−52−1+52−1+52-2-2-2-2-222−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000002-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000
χ28222222-2-2-2-2−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2-2-22-22222-2-222−1−52−1−52−1+52−1+52-2-2-2-2-222−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000000000-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000
χ29222222-2-2-2-2−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2-22-22-222222-2-2−1+52−1+52−1−52−1−52-2-2-222-2-2−1+52−1−521−521−521−521−521+521+521+521+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+52−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000002-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000
χ30222222-2-2-2-2−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2-22-22-222222-2-2−1+52−1+52−1−52−1−52-2-2-222-2-2−1+52−1−521−521−521−521−521+521+521+521+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+52−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000000000-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000
χ31222222-2-2-2-2−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2-2-22-22222-2-222−1+52−1+52−1−52−1−52-2-2-2-2-222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521+52−1+52−1−521−521+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+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000002-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000
χ32222222-2-2-2-2−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2-2-22-22222-2-222−1+52−1+52−1−52−1−52-2-2-2-2-222−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521+52−1+52−1−521−521+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+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000000000-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000
χ3322222-1222222-1222222-1-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.