Finite Group Databasebeta

← Group #12978156

Character table — Group #12978156

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119
size11112222222222222222444444444444444444444444444888888888888888888888888888888101010101616161616161616161616161616161620202020202020202020202020204040404040404040
order1222224444445510101010101044444441010101020202020202020202020202020202020224444888810101010101010102020202020202020202020204444202020202020202040404040404040402222444444888824444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111
χ5111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111
χ7111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1111111-1-1
χ9111111-1-1111111111111-11111-1-11111111111-1-1-1-1-1-1-1-111-1-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-11111-1-1-1-111-1-1111-1111111-1-111-1-1-1-1
χ10111111-1-1111111111111-11111-1-11111111111-1-1-1-1-1-1-1-111-1-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1-11-1-1-1-1-1-111-1-11111
χ11111111-1-1111111111111-11111-1-11111111111-1-1-1-1-1-1-1-111-1-1-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-11111-1-111
χ12111111-1-1111111111111-11111-1-11111111111-1-1-1-1-1-1-1-111-1-1-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-11111-1-11111-11111111-1-1-1-111-1-1
χ13111111-1-1111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-11-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1111111-1-1111-111-1-1-1-1-1-1-1-11111
χ14111111-1-1111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-11-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-1-11-1-111111111-1-1-1-1
χ15111111-1-1111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-11-1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-11-1-1-1111111-1-111-1-1
χ16111111-1-1111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-11-1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-11111-1111-1-1-1-1-1-111-1-111
χ171111-1-111-1-11111111111-111-1-11-1-1-1-1-111-1-1-1-11111-1-1-1-1111-111-1-11-11-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-11-11-1-1-1-1-11111-1-1-111-11-11-1
χ181111-1-111-1-11111111111-111-1-11-1-1-1-1-111-1-1-1-11111-1-1-1-1111-111-1-11-11-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11-111111-1-1-1-1111-1-11-11-11
χ191111-1-111-1-11111111111-111-1-11-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-111-11-111111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1111-11-111-1-1-1-1-1-1111-11-11-1-11
χ201111-1-111-1-11111111111-111-1-11-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-111-11-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-11-11-1-1111111-1-1-11-11-111-1
χ211111-1-111-1-11111111111-1-1-1111-1-1-1-1-111-1-1-1-11111-1-1-1-111-1111-1-1-11-11-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1111-11-1-1-1-1-111-1-111-11-11-11-11
χ221111-1-111-1-11111111111-1-1-1111-1-1-1-1-111-1-1-1-11111-1-1-1-111-1111-1-1-11-11-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-11-111111-1-111-1-11-11-11-11-1
χ231111-1-111-1-11111111111-1-1-1111-1-1-1-1-111-1-1-1-11111-1-1-1-111-11-1-1111-11-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-11-11-111-1-1-1-111-1-11-1-11-111-1
χ241111-1-111-1-11111111111-1-1-1111-1-1-1-1-111-1-1-1-11111-1-1-1-111-11-1-1111-11-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-11-11-1-11111-1-111-111-11-1-11
χ251111-1-1-1-1-1-11111111111111-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111-111-1-111-1-11-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111-1-11-1-1-111111-1-11-11-1-11-11
χ261111-1-1-1-1-1-11111111111111-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111-111-1-111-1-11-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-111-1111-1-1-1-1-111-11-111-11-1
χ271111-1-1-1-1-1-11111111111111-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111-11-111-1-111-1-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-1-1-111-1-11111-1-11-1-1111-11-1-1-1-111-111-1-111-1
χ281111-1-1-1-1-1-11111111111111-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111-11-111-1-111-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1-1-11-11111-1-11-1-111-1-11
χ291111-1-1-1-1-1-111111111111-1-111-11-1-1-1-111-1-1-1-1-1-1-1-11111111-11-1-11-111-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-11-1-11-1-1-1111-1-1111-1-111-11-1
χ301111-1-1-1-1-1-111111111111-1-111-11-1-1-1-111-1-1-1-1-1-1-1-11111111-11-1-11-111-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-111-1111-1-1-111-1-1-111-1-11-11
χ311111-1-1-1-1-1-111111111111-1-111-11-1-1-1-111-1-1-1-1-1-1-1-11111111-1-111-11-1-111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1111-1-1111-11-1-111-1-1-11-111-1-11
χ321111-1-1-1-1-1-111111111111-1-111-11-1-1-1-111-1-1-1-1-1-1-1-11111111-1-111-11-1-111111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-111-1-1-11-111-1-1111-11-1-111-1
χ33222222222222−1+52−1−52−1+52−1−52−1+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+52−1−522222222222−1+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+52−1−52−1−520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−522222222−1+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+52−1−5222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−5200001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+520000000000000000000000
χ35222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-222−1+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+52−1−52−1−52−1+52−1−52-2-22222-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+520000000000000000000000
χ36222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-222−1+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+52−1−52−1−52−1+52−1−52-2-2-2-2-2-222221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000000000
χ37222222222222−1−52−1+52−1−52−1+52−1−52−1+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+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+520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000000000
χ38222222222222−1−52−1+52−1−52−1+52−1−52−1+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+5222-2-2-2-2-2-2-2-2−1−52−1−52−1+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+5200001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−520000000000000000000000
χ39222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22222-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000000000000000
χ40222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-222221+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000000000
χ4122222222-2-2-2-22222222220000-2-22222-2-2-2-2-2-222222222-2-2000000000000000000-2-2-2-20000000022220000000000000000-2-2-2-2002200000000000000
χ4222222222-2-2-2-22222222220000-2-22222-2-2-2-2-2-222222222-2-2000000000000000000-2-2-2-200000000-2-2-2-20000000000000000222200-2-200000000000000
χ43222222-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22222-2-2−1+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+52−1−52-2-22-22-222-2-21−521−521+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+52−1−521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000000000
χ44222222-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22222-2-2−1+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+52−1−52-2-2-22-22-2-2221−521−521+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+52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000000000
χ45222222-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52222-22-2-2-222−1+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+520000−1+52−1−521−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000000000
χ46222222-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−5222-22-2222-2-2−1+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+5200001−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000000000
χ47222222-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22222-2-2−1−52−1−52−1+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+52-2-22-22-222-2-21+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+521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000000000
χ48222222-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22222-2-2−1−52−1−52−1+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+52-2-2-22-22-2-2221+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+521−52−1−52−1+521+521−52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000000000
χ49222222-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52222-22-2-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−521+521+521−521−520000−1−52−1+521+521−52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000000000
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χ1074-44-4-4400-44-44−1+5−1−5−1+5−1−51−51+51−51+504i−4i−4i4i001−5−1+51+5−1−51−51+51−5−1+51+5−1−500000000−1+5−1−50000000000000000000000−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ72ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ7000000000000000000000000000000000000000000
χ1084-44-4-4400-44-44−1+5−1−5−1+5−1−51−51+51−51+50−4i4i4i−4i001−5−1+51+5−1−51−51+51−5−1+51+5−1−500000000−1+5−1−500000000000000000000002ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ7−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ7000000000000000000000000000000000000000000
χ1094-44-4-4400-44-44−1−5−1+5−1−5−1+51+51−51+51−504i−4i−4i4i001+5−1−51−5−1+51+51−51+5−1−51−5−1+500000000−1−5−1+50000000000000000000000−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ192ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19000000000000000000000000000000000000000000
χ1104-44-4-4400-44-44−1−5−1+5−1−5−1+51+51−51+51−50−4i4i4i−4i001+5−1−51−5−1+51+51−51+5−1−51−5−1+500000000−1−5−1+500000000000000000000002ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ19000000000000000000000000000000000000000000
χ11188-8-8008-80000−2+25−2−252−252+252−252+25−2+25−2−2500000000000000000−2+252−25−2−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8008-80000−2−25−2+252+252−252+252−25−2−25−2+2500000000000000000−2−252+25−2+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11388-8-800-880000−2+25−2−252−252+252−252+25−2+25−2−25000000000000000002−25−2+252+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11488-8-800-880000−2−25−2+252+252−252+252−25−2−25−2+25000000000000000002+25−2−252−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-880000000088-8-888-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-8800000000−2+25−2−252−252+25−2+25−2−252−252+25000000000000000000000−4ζ11+4ζ194ζ11−4ζ194ζ3−4ζ7−4ζ3+4ζ700000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8-8800000000−2+25−2−252−252+25−2+25−2−252−252+250000000000000000000004ζ11−4ζ19−4ζ11+4ζ19−4ζ3+4ζ74ζ3−4ζ700000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-8800000000−2−25−2+252+252−25−2−25−2+252+252−250000000000000000000004ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ1900000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-8800000000−2−25−2+252+252−25−2−25−2+252+252−25000000000000000000000−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ1900000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.