Finite Group Databasebeta

← Group #12147308

Character table — Group #12147308

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134
size111122222222222222222222222222444444444444444444444444444444444444444444444444444444444444444444888816161616161616161616161616161616161620202020404040404040404040408080
order1222224444558888101010101010202020202020202044448888881010101020202020202020202020202020202020202020204040404040404040404040404040404040404040404040404040404040404040244488101020202020202040404040404040402244244444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111-111-11111-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1
χ9111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-111-11
χ10111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11-1
χ11111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-11111-1-1-1-11111-111-1-1-1-1-1111-1
χ12111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-11
χ13111111111111-1-1-1-111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-111-1-1-1-1111111-1-1-1-111111-1-1111-1-1-1-11-1
χ14111111111111-1-1-1-111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-11111-11
χ15111111111111-1-1-1-111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11
χ16111111111111-1-1-1-111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1
χ172222222222−1+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+52−1−52−1−522222222222−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ182222222222−1+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+52−1−52−1−522222222222−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-2-2-21−521+521−521−521+521+521−521+521−521−521+521+521−521−521+521+520000000000000000
χ192222222222−1+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+52−1−52−1−52-2-2-2-2-2-2-2-222−1+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+52−1+52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000000000000000
χ202222222222−1+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+52−1−52−1−52-2-2-2-2-2-2-2-222−1+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+52−1+52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-2221−521+521−521−521+521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ212222222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2-2-2−1+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+52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+522-2-22-22−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ222222222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2-2-2−1+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+52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-222-22-21−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ232222222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222-2-2−1+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+52−1+52−1−52−1+52−1+52−1+52−1+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+522-2-222-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ242222222222−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222-2-2−1+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+52−1+52−1−52−1+52−1+52−1+52−1+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+52-222-2-221−521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ252222222222−1−52−1+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+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ262222222222−1−52−1+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+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-2-2-2-2-21+521−521+521+521−521−521+521−521+521+521−521−521+521+521−521−520000000000000000
χ272222222222−1−52−1+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+52-2-2-2-2-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1+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+52−1+52−1+52−1+52−1+522222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000000000000000
χ282222222222−1−52−1+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+52-2-2-2-2-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1+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+52−1+52−1+52−1+52−1+52-2-2-2-2221+521−521+521+521−521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ292222222222−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2-2-2−1−52−1+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+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−522-2-22-22−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ302222222222−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2-2-2−1−52−1+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+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-222-22-21+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ312222222222−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−522-2-222-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ322222222222−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-222-2-221+521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ332222-2-22-2-22222222222222-2-2-2-2-2-2-2-200000000-2-2-2-2-2-22200000000000000002200000000000000002222-2-2-2-22222-2-2-2-222-2-200222-22-2-2-2000000000000000000000000
χ342222-2-22-2-22222222222222-2-2-2-2-2-2-2-200000000-2-2-2-2-2-22200000000000000002200000000000000002222-2-2-2-22222-2-2-2-2-2-22200-2-2-22-2222000000000000000000000000
χ352222-2-22-2-2222-2-2-2-2222222-2-2-2-2-2-2-2-20000000022-2-2-2-2220000000000000000220000000000000000-2-2-2-22222-2-2-2-222222-22-20022-22-22-2-2000000000000000000000000
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χ1294-4-44-4444-4-4−1−5−1+54i4i−4i−4i1+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−500000000−4i4i1+51−5−1−5−1+5−1−5−1+500000000000000001+51−50000000000000000−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ3800000000000000000000000000000000000000
χ1304-4-44-4444-4-4−1−5−1+5−4i−4i4i4i1+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−5000000004i−4i1+51−5−1−5−1+5−1−5−1+500000000000000001+51−500000000000000002ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ3800000000000000000000000000000000000000
χ1314-4-44-44-4-444−1+5−1−500001−51−51+51+5−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−544-4-40000001−51+5−1+5−1−51−51+5−1+5−1+51−51−5−1+5−1+51−51−5−1−5−1−51+51+5−1−5−1−51+51+5−1+5−1−50000000000000000000000000000000000000000000000000000000000000000000000
χ1324-4-44-44-4-444−1+5−1−500001−51−51+51+5−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5-4-4440000001−51+5−1+5−1−51−51+51−51−5−1+5−1+51−51−5−1+5−1+51+51+5−1−5−1−51+51+5−1−5−1−5−1+5−1−50000000000000000000000000000000000000000000000000000000000000000000000
χ1334-4-44-44-4-444−1−5−1+500001+51+51−51−5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+544-4-40000001+51−5−1−5−1+51+51−5−1−5−1−51+51+5−1−5−1−51+51+5−1+5−1+51−51−5−1+5−1+51−51−5−1−5−1+50000000000000000000000000000000000000000000000000000000000000000000000
χ1344-4-44-44-4-444−1−5−1+500001+51+51−51−5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5-4-4440000001+51−5−1−5−1+51+51−51+51+5−1−5−1−51+51+5−1−5−1−51−51−5−1+5−1+51−51−5−1+5−1+5−1−5−1+50000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.