Finite Group Databasebeta

← Group #12072116

Character table — Group #12072116

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111122222222222222444444444444444444444444888888888888888888888888888816161616161616161616161616161616161620202020404040404040404040408080
order1222224444551010101010104444101010102020202020202020202020202020202022244444101010101010101020202020202020202020202088101020202020202040404040404040404444224444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-111-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-111-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-111
χ5111111111111111111111111111111111111111111-1-1111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111-1-1111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11111111-1-1
χ9111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-1-1-111-1-11-1-111-111-1-11-1
χ10111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-1-1-1-1-111-111-1-11-1-111-11
χ11111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1111111-1-111-1-1-1111-1-1-11
χ12111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11111-1-111-1-1111-1-1-1111-1
χ13111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1111-1-1-1-1-1-1-1-111-1-111111111-1111-1-1-1-111-1-1-1-1111111-1-11-1-111-1-1-111-11
χ14111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1111-1-1-1-1-1-1-1-111-1-111111111-1111-1-1-1-111-1-1-1-11111-1-111-111-1-1111-1-11-1
χ15111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-111-1-1111111111-1-1-11111-1-11111-1-1-1-111-1-111-1-1-11-1-1111-1
χ16111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-111-1-1111111111-1-1-11111-1-11111-1-1-1-1-1-111-1-1111-111-1-1-11
χ17222222222222222222-2-2-2-22222-2-2-2-222222222-2-2-2-20000000000000000-2-2-2-20000000000000000000000000022-2-2-202000000000
χ18222222222222222222-2-2-2-22222-2-2-2-222222222-2-2-2-20000000000000000-2-2-2-200000000000000000000000000-2-22220-2000000000
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+52−1−52−1−5222-2-2-222-2−1+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+52−1−52−1−52−1−52−1−52-2-21−521+521−521−521+521+521−521+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+52−1−52−1−52-2-2222-2-221−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+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
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+52−1−52−1−52-2-2-2-2-2-2-2-21−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+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+5222-2-2-222-2−1−52−1−52−1−52−1−52−1+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+52-2-21+521−521+521+521−521−521+521−521+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+52-2-2222-2-221+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+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
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+52-2-2-2-2-2-2-2-21+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+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
χ27222222-2-2-2-22222222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-222000000000000000000000000002222-20-2000000000
χ28222222-2-2-2-22222222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-22200000000000000000000000000-2-2-2-2202000000000
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+52−1−52−1−52222-2-2-2-22−1+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+522-2−1+52−1−521−521−521+521+52−1+52−1−52−1+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+52−1−52−1−5222-222-2-2-2−1+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+521+521+52-221−521+52−1+52−1+52−1−52−1−521−521+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+52−1−52−1−52-2-22-2-22221−521−521−521−521+521+521+521+52−1+52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1−521−521−521+521+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+52−1−52−1−52-2-2-22222-21−521−521−521−521+521+521+521+52−1+52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521+52−1+52−1+52−1−52−1−521−521+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+52222-2-2-2-22−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521−521+521+521+521+521−521−521−521−522-2−1−52−1+521+521+521−521−52−1−52−1+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+5222-222-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521−521+521+521+521+521−521−521−521−52-221+521−52−1−52−1−52−1+52−1+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+52-2-22-2-22221+521+521+521+521−521−521−521−52−1−52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22−1−52−1+521+521+521−521−52−1−52−1+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+52-2-2-22222-21+521+521+521+521−521−521−521−52−1−52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-21+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ372222-2-222-2-2222222222-22-2-2-2-2-2222222-2-222-2-222220022-200-200000000-2-2-2-20000000000222-22-2-2-2000000000000000000000000
χ382222-2-222-2-2222222222-22-2-2-2-2-2222222-2-222-2-2222200-2-2200200000000-2-2-2-20000000000-2-2-22-2222000000000000000000000000
χ392222-2-222-2-222222222-22-22-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-2000000000000000022220000000000000000000000000000000202-2-2000000
χ402222-2-222-2-222222222-22-22-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-2000000000000000022220000000000000000000000000000000-20-222000000
χ412222-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−520022-200-2ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ181−521+521−521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ1800−1+52−1−52−1+521−52−1−521+521−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000000000000000
χ422222-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−520022-200-2−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ181−521+521−521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ1800−1+52−1−52−1+521−52−1−521+521−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000000000000000
χ432222-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−5200-2-22002ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ181−521+521−521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18001−521+521−52−1+521+52−1−52−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000000000000000
χ442222-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−5200-2-22002−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ181−521+521−521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18001−521+521−52−1+521+52−1−52−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000000000000000
χ452222-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-22-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+520022-200-2−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ141+521−521+521−52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400−1−52−1+52−1−521+52−1+521−521+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000000000000000
χ462222-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-22-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+520022-200-2ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ141+521−521+521−52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400−1−52−1+52−1−521+52−1+521−521+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000000000000000
χ472222-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-22-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+5200-2-22002−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ141+521−521+521−52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14001+521−521+52−1−521−52−1+52−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000000000000000
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χ9888-8-800008i−8i−2−25−2+25−2−252+25−2+252−252+252−2500000000000000−4ζ3−4ζ74ζ3+4ζ700−4ζ11−4ζ194ζ11+4ζ19000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-80000−8i8i−2+25−2−25−2+252−25−2−252+252−252+25000000000000004ζ11+4ζ19−4ζ11−4ζ19004ζ3+4ζ7−4ζ3−4ζ7000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-80000−8i8i−2−25−2+25−2−252+25−2+252−252+252−25000000000000004ζ3+4ζ7−4ζ3−4ζ7004ζ11+4ζ19−4ζ11−4ζ19000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-888-80000−2+25−2−252−252−252+252+25−2+25−2−250000−2+252−25−2−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-888-80000−2−25−2+252+252+252−252−25−2−25−2+250000−2−252+25−2+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-880000−2+25−2−252−252−252+252+25−2+25−2−2500002−25−2+252+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-880000−2−25−2+252+252+252−252−25−2−25−2+2500002+25−2−252−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000

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