Finite Group Databasebeta

← Group #12081953

Character table — Group #12081953

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134
size11112222222222224444444444444444444444444444444441616161616161616161640404040404040401111222222222222444444444444444444444444444444444161616161616161616164040404040404040
order1222444455101010101010488882020202020202020202020204040404040404040404040404040404044202020202020202044888888222244441010101010101010488882020202020202020202020204040404040404040404040404040404044202020202020202044888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-111-1-1
χ611111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-111-1-11111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-111-1-111
χ711111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-111
χ811111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-11111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-11111-1-1
χ922222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−520000000022222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−5200000000
χ1022222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+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+520000000022222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+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+5200000000
χ1122222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+520000000022222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+5200000000
χ1222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−520000000022222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−5200000000
χ1322222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+520000000022222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+5200000000
χ1422222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000022222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−5200000000
χ1522222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000000022222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−5200000000
χ1622222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000000022222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+5200000000
χ1722222-2-2222222222-20000-2-2-2-22222-2-2-2-2000000000000000000000000002-200000022222-2-2222222222-20000-2-2-2-22222-2-2-2-2000000000000000000000000002-2000000
χ1822222-2-2222222222-20000-2-2-2-22222-2-2-2-200000000000000000000000000-2200000022222-2-2222222222-20000-2-2-2-22222-2-2-2-200000000000000000000000000-22000000
χ192222-222-222222222-222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-20000000000000000002222-222-222222222-222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-2000000000000000000
χ202222-222-222222222-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-222220000000000000000002222-222-222222222-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222000000000000000000
χ212222-222-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222-2-21−521−521+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+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000002222-222-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222-2-21−521−521+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+5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000
χ222222-222-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222-2-21−521−521+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+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000002222-222-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222-2-21−521−521+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+5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000
χ232222-222-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2221−521−521+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+521+521+521+521+52−1−52−1−52−1−52−1−5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000002222-222-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2221−521−521+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+521+521+521+521+52−1−52−1−52−1−52−1−5200ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000
χ242222-222-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2221−521−521+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+521+521+521+521+52−1−52−1−52−1−52−1−5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000002222-222-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2221−521−521+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+521+521+521+521+52−1−52−1−52−1−52−1−5200−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000
χ252222-222-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-222-2-21+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+521−521−521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000002222-222-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-222-2-21+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+521−521−521−521−5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000
χ262222-222-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-222-2-21+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+521−521−521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000002222-222-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-222-2-21+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+521−521−521−521−5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000
χ272222-222-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000002222-222-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+5200−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000
χ282222-222-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000002222-222-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+5200ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000
χ292222-2-2-2-222222222200002222-2-2-2-2-2-2-2-200000000000000000000000000002i−2i00002222-2-2-2-222222222200002222-2-2-2-2-2-2-2-200000000000000000000000000002i−2i0000
χ302222-2-2-2-222222222200002222-2-2-2-2-2-2-2-20000000000000000000000000000−2i2i00002222-2-2-2-222222222200002222-2-2-2-2-2-2-2-20000000000000000000000000000−2i2i0000
χ3122-2-20-22022-2-22-22-202i−2i00000000002-22-22i2i−2i−2i00002i2i−2i−2i000000000000000000i2−i22−222-2-20-22022-2-22-22-202i−2i00000000002-22-22i2i−2i−2i00002i2i−2i−2i000000000000000000i2−i22−2
χ3222-2-20-22022-2-22-22-202i−2i00000000002-22-22i2i−2i−2i00002i2i−2i−2i000000000000000000−i2i2−2222-2-20-22022-2-22-22-202i−2i00000000002-22-22i2i−2i−2i00002i2i−2i−2i000000000000000000−i2i2−22
χ3322-2-20-22022-2-22-22-20−2i2i00000000002-22-2−2i−2i2i2i0000−2i−2i2i2i000000000000000000i2−i2−2222-2-20-22022-2-22-22-20−2i2i00000000002-22-2−2i−2i2i2i0000−2i−2i2i2i000000000000000000i2−i2−22
χ3422-2-20-22022-2-22-22-20−2i2i00000000002-22-2−2i−2i2i2i0000−2i−2i2i2i000000000000000000−i2i22−222-2-20-22022-2-22-22-20−2i2i00000000002-22-2−2i−2i2i2i0000−2i−2i2i2i000000000000000000−i2i22−2
χ3544444-4-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-400001−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5000000000000000000000000000000000044444-4-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-400001−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+50000000000000000000000000000000000
χ3644444-4-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-400001+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5000000000000000000000000000000000044444-4-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-400001+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−50000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.