Finite Group Databasebeta

← Group #12975160

Character table — Group #12975160

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131
size1111222222222222222222222222444444444444444444444444444888888888888888888888888888888888888888888881616161616161616202020202020202020202020202020204040404040404040
order1222224444445510101010101020202020202020202222444888810101010101010102020202020202020224444881010101010101010101020202020202020202020404040404040404040404040404040401010202020202020224444444444888822444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111111111-1-1-11-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-111111111111111111-1-1-11-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ5111111111111111111111111111111-1-11-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ6111111111111111111111111111111-1-11-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ7111111111111111111111111111111-1-11-1-1-1-1-1-11111111111111111-1111-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1
χ8111111111111111111111111111111-1-11-1-1-1-1-1-11111111111111111-1111-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111
χ911111111-1-1111111111111111111-1-111-11111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111
χ1011111111-1-1111111111111111111-1-111-11111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-111-1-1-1-1
χ1111111111-1-1111111111111111111-1-111-111-1-1111111-1-1-1-1-1-1-1-11111-11-1-1-11-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1
χ1211111111-1-1111111111111111111-1-111-111-1-1111111-1-1-1-1-1-1-1-11111-11-1-1-11-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111
χ1311111111-1-1111111111111111111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111
χ1411111111-1-1111111111111111111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-111-1-1
χ1511111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ1611111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1111-1-11-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ171111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-111-1-1-11111-1-1-1-1-1-1-1-111111111-111-11-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-111-1-111-1-11-11-11-11-1
χ181111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-111-1-1-11111-1-1-1-1-1-1-1-111111111-111-11-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11-1-111-1-111-11-11-11-11
χ191111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-11-11-1-1-111-1-111-111-11-1-11
χ201111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-11-11-1111-1-111-1-11-1-11-111-1
χ211111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-11-11-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-11-11-1-1-11111-1-1-11-11-111-1
χ221111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-11-11-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-11-1111-1-1-1-1111-11-11-1-11
χ231111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-11-11-111-1-1-1-1111-1-11-11-11
χ241111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11-11-11-1-11111-1-1-111-11-11-1
χ251111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111-11-1-11-11-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111-1-11-111-1-1-111-1-1111-1-111-11-1
χ261111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111-11-1-11-11-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-111-11-1-1111-1-111-1-1-111-1-11-11
χ271111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-11-1-11-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11-1-11-111-111-1-111-1-1-11-111-1-11
χ281111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-11-1-11-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-111-11-1-11-1-111-1-1111-11-1-111-1
χ291111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-11111-1-1-1-11111-11-111-1-11-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-11-1-11-111-111-1-1-1-111-111-1-111-1
χ301111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-11111-1-1-1-11111-11-111-1-11-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-111-11-1-11-1-11111-1-11-1-111-1-11
χ311111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-11-1111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-111-1-1111-1-11-111-1-1-11111-1-11-11-1-11-11
χ321111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-11-1111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-111-11-1-1111-1-1-1-111-11-111-11-1
χ33222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+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+52−1−52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ34222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222222-2-2-2-2−1+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+52−1−52−1−522-2-2-22-2-2-2−1+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+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521+521−521+521−521+521−521+52000000000000000000000000
χ35222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-22-2-22222−1+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+52−1−52−1−52-2-2-2-2-2-222−1+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+52−1−52−1−521−521+521−521+521−521+521−521+52000000000000000000000000
χ36222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-22-2-2-2-2-2-2−1+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+52−1−52−1−52-2222-22-2-2−1+52−1−521−521−521+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+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ37222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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
χ38222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222222-2-2-2-2−1−52−1−52−1+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+522-2-2-22-2-2-2−1−52−1+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+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
χ39222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-22-2-22222−1−52−1−52−1+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+52-2-2-2-2-2-222−1−52−1+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+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−52000000000000000000000000
χ40222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-22-2-2-2-2-2-2−1−52−1−52−1+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+52-2222-22-2-2−1−52−1+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+521−521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ4122222222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222-22222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2-222-2-22-21−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+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+52−1+52−1−52−1+52−1−521−521+52000000000000000000000000
χ4222222222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222-222-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-22-2-2-22-221−521+52−1+52−1+52−1−52−1−521−521−521+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+52−1−521−521+521−521+52−1+52−1−52000000000000000000000000
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χ1234-4-44-44-4400-44−1+5−1−51−51−51+51+5−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−5004-40-4400001−5−1+51+5−1−500000000−1+51−5−1−51+50000000000−1+51−5−1−51+50000001−5−1+51+5−1−50000000000000000000000000000000000000000000000000000
χ1244-4-44-44-4400-44−1+5−1−51−51−51+51+5−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−500-4404-400001−5−1+51+5−1−500000000−1+51−5−1−51+500000000001−5−1+51+5−1−5000000−1+51−5−1−51+50000000000000000000000000000000000000000000000000000
χ1254-4-44-44-4400-44−1−5−1+51+51+51−51−5−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+5004-40-4400001+5−1−51−5−1+500000000−1−51+5−1+51−50000000000−1−51+5−1+51−50000001+5−1−51−5−1+50000000000000000000000000000000000000000000000000000
χ1264-4-44-44-4400-44−1−5−1+51+51+51−51−5−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+500-4404-400001+5−1−51−5−1+500000000−1−51+5−1+51−500000000001+5−1−51−5−1+5000000−1−51+5−1+51−50000000000000000000000000000000000000000000000000000
χ12788-8-80000000088-88-88-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12888-8-800000000−2+25−2−252−25−2+252+25−2−252−252+25−4ζ22+4ζ384ζ22−4ζ384ζ22−4ζ38−4ζ22+4ζ384ζ6−4ζ14−4ζ6+4ζ14−4ζ6+4ζ144ζ6−4ζ140000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12988-8-800000000−2+25−2−252−25−2+252+25−2−252−252+254ζ22−4ζ38−4ζ22+4ζ38−4ζ22+4ζ384ζ22−4ζ38−4ζ6+4ζ144ζ6−4ζ144ζ6−4ζ14−4ζ6+4ζ140000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13088-8-800000000−2−25−2+252+25−2−252−25−2+252+252−254ζ6−4ζ14−4ζ6+4ζ14−4ζ6+4ζ144ζ6−4ζ144ζ22−4ζ38−4ζ22+4ζ38−4ζ22+4ζ384ζ22−4ζ380000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13188-8-800000000−2−25−2+252+25−2−252−25−2+252+252−25−4ζ6+4ζ144ζ6−4ζ144ζ6−4ζ14−4ζ6+4ζ14−4ζ22+4ζ384ζ22−4ζ384ζ22−4ζ38−4ζ22+4ζ380000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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