Finite Group Databasebeta

← Group #12072122

Character table — Group #12072122

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111122222222222222444444444444444444444444888888888888888888888888888816161616161616161616161616161616161620202020404040404040404040408080
order1222224444551010101010104444101010102020202020202020202020202020202024444444202020202020202020202020202020202020202088101020202020202040404040404040404444222244444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111-1-1-111-1-1
χ6111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111-1-1-11-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-111111-1-1
χ9111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-111-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-111-1-11-111-111-1-1-11-1
χ10111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-111-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-111-11-1-11-1-1111-11
χ11111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-1-1111111-1-11-1-1-1-111-111-11
χ12111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-1-11111-1-111-11111-1-11-1-11-1
χ13111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-11111-1-1-11-1-1-11
χ14111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111-1111-1
χ15111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-11111-1
χ16111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-111-1-111111-1-1-1-11
χ17222222222222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-200000000-2-2-2-2000000000000000000000000000000000022-2-2-200020000000
χ18222222222222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-200000000-2-2-2-20000000000000000000000000000000000-2-2222000-20000000
χ192222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ202222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ212222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222−1+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+52−1−52−1−52−1−52−1−52-2-21−521+521−521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222−1+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+52−1−52−1−52−1+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+521−521−521−521−521+521+521+521+52221−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ232222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+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+52−1−52−1−52−1+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+5222−1−52−1+52−1−52−1+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
χ242222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ252222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521−521+521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ262222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+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+52−1−52−1−52−1+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+521−521−521−521−521+521+521+521+521−521−521−521−52221+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ27222222-2-2-2-22222222222-2-22222-2-2-2-2-2-2-2-22222-2-2-2-200000000-2-22200000000000000000000000000000000002222-2000-20000000
χ28222222-2-2-2-22222222222-2-22222-2-2-2-2-2-2-2-22222-2-2-2-200000000-2-2220000000000000000000000000000000000-2-2-2-2200020000000
χ29222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-2-2222-2-2−1+52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ30222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-2-22-2-222−1+52−1−521−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ31222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-222-222-2-2−1+52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-221−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ32222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-222-2-2-222−1+52−1−521−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ33222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-2-2222-2-2−1−52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ34222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-2-22-2-222−1−52−1+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+52-22−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ35222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-222-222-2-2−1−52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-221+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ36222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-222-2-2-222−1−52−1+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+522-21+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ372222-2-222-2-2222222222-22-2-2-2-2-222-2-222-2-22222222200000000-2-2-2-200000000000000000000000000000000000000020002-2-20000
χ382222-2-222-2-2222222222-22-2-2-2-2-222-2-222-2-22222222200000000-2-2-2-2000000000000000000000000000000000000000-2000-2220000
χ392222-2-222-2-222222222-22-22-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-222-2-20000222200000000000000000022-2-22-22-2000000000000000000000000
χ402222-2-222-2-222222222-22-22-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-22200002222000000000000000000-2-222-22-22000000000000000000000000
χ412222-2-222-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-221−521+521−521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+521−521−521+521+5222-2-20000−1+52−1−52−1+52−1−52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ700−1+52−1−521−521+52−1+521−52−1−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70000000000000000
χ422222-2-222-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-221−521+521−521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+521−521−521+521+5222-2-20000−1+52−1−52−1+52−1−52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ700−1+52−1−521−521+52−1+521−52−1−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000000000000000
χ432222-2-222-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-221−521+521−521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+521−521−521+521+52-2-2220000−1+52−1−52−1+52−1−52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7001−521+52−1+52−1−521−52−1+521+52−1−52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000000000000000
χ442222-2-222-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-221−521+521−521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+521−521−521+521+52-2-2220000−1+52−1−52−1+52−1−52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7001−521+52−1+52−1−521−52−1+521+52−1−52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70000000000000000
χ452222-2-222-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-221+521−521+521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−521+521+521−521−5222-2-20000−1−52−1+52−1−52−1+52ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ1900−1−52−1+521+521−52−1−521+52−1+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ190000000000000000
χ462222-2-222-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-221+521−521+521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−521+521+521−521−5222-2-20000−1−52−1+52−1−52−1+52−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ1900−1−52−1+521+521−52−1−521+52−1+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ190000000000000000
χ472222-2-222-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-221+521−521+521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−521+521+521−521−52-2-2220000−1−52−1+52−1−52−1+52ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19001+521−52−1−52−1+521+52−1−521−52−1+52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ190000000000000000
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χ934-4-444-4000044-4-44-4-44000044-4-4000000000000000000000000000000000000000000000000000000000000004i−4i00000000000000
χ944-4-444-4000044-4-44-4-44000044-4-400000000000000000000000000000000000000000000000000000000000000−4i4i00000000000000
χ954-4-44-44000044-4-44-4-440000-4-44400000000000000000000000000000000000000000000000000000000000000004-4000000000000
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χ9788-8-800008i−8i−2+25−2−25−2+252−252−25−2−252+252+250000000000−4ζ11−4ζ194ζ11+4ζ1900−4ζ3−4ζ74ζ3+4ζ70000000000000000000000000000000000000000000000000000000000000000000000
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χ1028-8-888-80000−2−25−2+252+252+25−2−252−252−25−2+250000−2−25−2+252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-880000−2+25−2−252−252−25−2+252+252+25−2−2500002−252+25−2+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-880000−2−25−2+252+252+25−2−252−252−25−2+2500002+252−25−2−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000

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