Finite Group Databasebeta

← Group #12120011

Character table — Group #12120011

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134
size111111112222222222222222222244444444444444444444444444448888888888888888888888888888888888888888888810101010161616161616161620202020202020202020202020204040404040404040
order1222222244445510101010101010101010101010102222224488881010101010101010202020202020202022444488101010101010101010101010101010102020202040404040404040404040404040404040444420202020202020204444444444888844444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ511111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111111111-1-111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-1-1-1
χ91111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ101111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ121111111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-111
χ131111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1
χ141111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111
χ151111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-111
χ161111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-11111-1-1
χ171111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1111111-1-11-11-111-1-11111-1-1-1-1-1-1-1-111111-11-11-11-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1ii−i−i11-1-111-1-1i−ii−ii−iii−i−iii−i−ii−ii−ii−ii−i
χ181111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1111111-1-11-11-111-1-11111-1-1-1-1-1-1-1-111111-11-11-11-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1−i−iii11-1-111-1-1−ii−ii−ii−i−iii−i−iii−ii−ii−ii−ii
χ191111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1111111-1-11-11-1-1-1111111-1-1-1-1-1-1-1-111111-1-11-11-111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111ii−i−i-1-111-1-111i−ii−ii−i−i−iii−i−iiii−ii−i−ii−ii
χ201111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1111111-1-11-11-1-1-1111111-1-1-1-1-1-1-1-111111-1-11-11-111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111−i−iii-1-111-1-111−ii−ii−iiii−i−iii−i−i−ii−iii−ii−i
χ211111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1111111-1-1-11-1111-1-1-1-1-1-11111-1-1-1-11111-11-111-1-111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111ii−i−i-1-11111-1-1−iii−i−iiii−i−iii−i−i−iii−i−ii−ii
χ221111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1111111-1-1-11-1111-1-1-1-1-1-11111-1-1-1-11111-11-111-1-111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−i−iii-1-11111-1-1i−i−iii−i−i−iii−i−iiii−i−iii−ii−i
χ231111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1111111-1-1-11-11-1-111-1-1-1-11111-1-1-1-11111-111-1-111-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1ii−i−i11-1-1-1-111−iii−i−ii−i−iii−i−iii−iii−ii−ii−i
χ241111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1111111-1-1-11-11-1-111-1-1-1-11111-1-1-1-11111-111-1-111-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1−i−iii11-1-1-1-111i−i−iii−iii−i−iii−i−ii−i−ii−ii−ii
χ251111-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1-1111-11-111-1-11111-1-1-1-1-1-1-1-11111-11-11-111-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1ii−i−i-1-111-1-111i−ii−ii−i−i−iiiii−i−i−ii−ii−iii−i
χ261111-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1-1111-11-111-1-11111-1-1-1-1-1-1-1-11111-11-11-111-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1−i−iii-1-111-1-111−ii−ii−iiii−i−i−i−iiii−ii−ii−i−ii
χ271111-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1-1111-11-1-1-1111111-1-1-1-1-1-1-1-11111-111-11-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111ii−i−i11-1-111-1-1i−ii−ii−iii−i−i−i−iii−ii−iii−i−ii
χ281111-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1-1111-11-1-1-1111111-1-1-1-1-1-1-1-11111-111-11-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111−i−iii11-1-111-1-1−ii−ii−ii−i−iiiii−i−ii−ii−i−iii−i
χ291111-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1-111-11-1111-1-1-1-1-1-11111-1-1-1-111111-11-1-11-11-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111ii−i−i11-1-1-1-111−iii−i−ii−i−iiiii−i−ii−i−iii−i−ii
χ301111-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1-111-11-1111-1-1-1-1-1-11111-1-1-1-111111-11-1-11-11-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−iii11-1-1-1-111i−i−iii−iii−i−i−i−iii−iii−i−iii−i
χ311111-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1-111-11-11-1-111-1-1-1-11111-1-1-1-111111-1-111-11-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1ii−i−i-1-11111-1-1−iii−i−iiii−i−i−i−iiii−i−ii−iii−i
χ321111-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1-111-11-11-1-111-1-1-1-11111-1-1-1-111111-1-111-11-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1−i−iii-1-11111-1-1i−i−iii−i−i−iiiii−i−i−iii−ii−i−ii
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+52−1−52222222222222−1+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+52−1−52−1−5222222222−1+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+52−1−52−1−520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000000000
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+52−1−5222222222-2-2-2-2−1+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+52−1−52−1−5222-2-2-2-2-2-2−1+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+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200001−521+521−521+521−521+521−521+520000000000000000000000
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+52−1−522222-2-2-2-222221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-222-2-2−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200001−521+521−521+52−1+52−1−52−1+52−1−520000000000000000000000
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+52−1−522222-2-2-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-222−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−521−521+521−521+520000000000000000000000
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+52−1−52-2-2-2-222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2221−521−521+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+52−1−52−1−5200001−521+521−521+521−521+521−521+520000000000000000000000
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+52−1−52-2-2-2-22222-2-2-2-2−1+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+52−1−52−1−52-2-22222-2-21−521−521+521+521−521−521+521+521−521−521+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+521−521−521+521+520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000000000
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+52−1−52-2-2-2-2-2-2-2-222221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-21−521−521+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−521−521+521−521+520000000000000000000000
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+52−1−52-2-2-2-2-2-2-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-222221−521−521+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+52−1+52−1−52−1+52−1−520000000000000000000000
χ41222222222222−1−52−1+52−1−52−1+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+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+520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000000000
χ42222222222222−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2-2-2−1−52−1−52−1+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+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200001+521−521+521−521+521−521+521−520000000000000000000000
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χ1284-4-44-4-444-44-44−1+5−1−51−51+51−51−5−1+5−1+51+51+5−1−5−1−51−51+5−1+5−1−5-444-400000000000000001−5−1+51+5−1−5−1+51−5−1−51+5000000001−5−1+51+5−1−5−1+51−5−1−51+500000000000000000000000000000000000000000000000000000000000000
χ1294-4-44-4-444-44-44−1−5−1+51+51−51+51+5−1−5−1−51−51−5−1+5−1+51+51−5−1−5−1+54-4-4400000000000000001+5−1−51−5−1+5−1−51+5−1+51−500000000−1−51+5−1+51−51+5−1−51−5−1+500000000000000000000000000000000000000000000000000000000000000
χ1304-4-44-4-444-44-44−1−5−1+51+51−51+51+5−1−5−1−51−51−5−1+5−1+51+51−5−1−5−1+5-444-400000000000000001+5−1−51−5−1+5−1−51+5−1+51−5000000001+5−1−51−5−1+5−1−51+5−1+51−500000000000000000000000000000000000000000000000000000000000000
χ1318-88-88-88-80000−2+25−2−252−252+25−2+252−252−25−2+25−2−252+252+25−2−25−2+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-88-88-88-80000−2−25−2+252+252−25−2−252+252+25−2−25−2+252−252−25−2+25−2−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-88-8-88-880000−2+25−2−252−252+252−25−2+25−2+252−252+25−2−25−2−252+25−2+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-88-8-88-880000−2−25−2+252+252−252+25−2−25−2−252+252−25−2+25−2+252−25−2−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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