Finite Group Databasebeta

← Group #12977705

Character table — Group #12977705

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111122222222222222444444444444444444444444444488888888888888888888888888888816161616161616161616161616161616202020202020202020202020202020204040404040404040
order1222224444551010101010104444444410101010202020202020202020202020202020202444448888101010102020202020202020202020202020202020202020202020204040404040404040222222444444888844444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111
χ51111111111111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ71111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-11111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1
χ9111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1
χ10111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111
χ11111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111
χ12111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111111111-1-111-1-1-1-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-111-1-111
χ14111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111111-1-111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111
χ171111-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111-11-11-11-11-1111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11-11-1111-11-1-1-111-1-11-11-11-11-1
χ181111-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111-11-11-11-11-1111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-11-11-1-1-11-1111-1-111-11-11-11-11
χ191111-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111-1-11-11-11-11111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111-11-1-1-11-11-111-1-1111-11-1-11-11
χ201111-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111-1-11-11-11-11111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-11-1111-11-11-1-111-1-1-11-111-11-1
χ211111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-111-11-1-11-11-1-1-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1111-11-1111-11-1-1-1-1-111-11-111-1-11
χ221111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-111-11-1-11-11-1-1-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111-11-11-1-1-11-111111-1-11-11-1-111-1
χ231111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-11-11-111-11-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-11-11-1-1-11-11-11111-1-1-11-11-111-1
χ241111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-11-11-111-11-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1-11-1111-11-11-1-1-1-1111-11-11-1-11
χ251111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-111-1-11-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-11111-1-11-1-111-1-11-1-11-11-11
χ261111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-111-1-11-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-111-1-1-1-111-111-1-111-111-11-11-1
χ271111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-11-111-1-111-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-11111-1-11-1-11-1-11-1-1111-1-1111-1-111-11-1
χ281111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-11-111-1-111-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-111-111-111-1-1-111-1-1-111-1-11-11
χ291111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111-11-1-11-111-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-11-1-11111-1-11-1-1-1-111-111-1-111-1
χ301111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111-11-1-11-111-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-111-1-1-1-111-11111-1-11-1-111-1-11
χ311111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-111-11-1-111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1111-1-11-1-11-1-111111-1-1-111-11-1-11
χ321111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-111-11-1-111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-111-111-111-1-1-1-1-1111-1-11-111-1
χ332222222222−1+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+52−1−522222222222−1+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+52−1−52000000000000000000000000
χ342222222222−1+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+52−1−5222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000000000
χ352222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-2−1+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+52−1−52-2-22222-2-2-2-21−521−521+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+52−1−521−521+521−521+521−521+521−521+52000000000000000000000000
χ362222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-2−1+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+52−1−52-2-2-2-2-2-222221−521−521+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+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ372222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22222−1+52−1+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+52−1−52-2-222-2-222-2-21−521−521+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+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ382222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22222−1+52−1+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+52−1−52-2-2-2-222-2-2221−521−521+521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ392222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-222−1+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+52−1+52−1−52−1+52−1−52000000000000000000000000
χ402222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-22222-2-2−1+52−1+52−1−52−1−521−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ412222222222−1−52−1+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+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+52000000000000000000000000
χ422222222222−1−52−1+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+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+521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000000000
χ432222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-2-2-2−1−52−1−52−1+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+52-2-22222-2-2-2-21+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+521+521−521+521−521+521−521+521−52000000000000000000000000
χ442222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-2-2-2−1−52−1−52−1+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+52-2-2-2-2-2-222221+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+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ452222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22222−1−52−1−52−1+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+52-2-222-2-222-2-21+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+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ462222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22222−1−52−1−52−1+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+52-2-2-2-222-2-2221+521+521−521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+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+52000000000000000000000000
χ472222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-2-2-222−1−52−1−52−1+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+521−52−1−52−1+52−1−52−1+52000000000000000000000000
χ482222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-22222-2-2−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
χ49222222-2-2-2-2222222222-22-2000022222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000-2-22200000000000000000000000000002-2-2200-222-200000000000000
χ50222222-2-2-2-2222222222-22-2000022222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000-2-2220000000000000000000000000000-222-2002-2-2200000000000000
χ51222222-2-2-2-222222222-22-2200002222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000022-2-200000000000000000000000000002-22-200-22-2200000000000000
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χ10788-8-8000000888-88-8-8-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8000000−2+25−2−25−2+252−25−2−252+252−252+250000000000004ζ6−4ζ14−4ζ6+4ζ14−4ζ2+4ζ184ζ2−4ζ180000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8000000−2+25−2−25−2+252−25−2−252+252−252+25000000000000−4ζ6+4ζ144ζ6−4ζ144ζ2−4ζ18−4ζ2+4ζ180000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8000000−2−25−2+25−2−252+25−2+252−252+252−25000000000000−4ζ2+4ζ184ζ2−4ζ18−4ζ6+4ζ144ζ6−4ζ140000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-8000000−2−25−2+25−2−252+25−2+252−252+252−250000000000004ζ2−4ζ18−4ζ2+4ζ184ζ6−4ζ14−4ζ6+4ζ140000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-800000088-88-88-8-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8000000−2+25−2−252−25−2+252+25−2−252−252+2500000000000000004ζ6−4ζ14−4ζ6+4ζ14−4ζ2+4ζ184ζ2−4ζ18000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8000000−2+25−2−252−25−2+252+25−2−252−252+250000000000000000−4ζ6+4ζ144ζ6−4ζ144ζ2−4ζ18−4ζ2+4ζ18000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8000000−2−25−2+252+25−2−252−25−2+252+252−250000000000000000−4ζ2+4ζ184ζ2−4ζ18−4ζ6+4ζ144ζ6−4ζ14000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8000000−2−25−2+252+25−2−252−25−2+252+252−2500000000000000004ζ2−4ζ18−4ζ2+4ζ184ζ6−4ζ14−4ζ6+4ζ14000000000000000000000000000000000000000000000000000000000000000000000000000000

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