Finite Group Databasebeta

← Group #11996379

Character table — Group #11996379

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222244444444444444444444444444448888888888888888888888161616161616161616161616161616161616161620202020404040404040404040408080
order1222444444551010101010102224444410101010202020202020202020202020202020204410101010202020202020202020202020202020202488101010102020202040404040404040408888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-11-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ61111111111111111111-1-11-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111-1-11-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1
χ81111111111111111111-1-11-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ9111111-1-1-1-111111111111-1-1-11-11111-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-11111-1-1-1-11111-1-1-1-1ii−i−ii−iii−i−iii−i−ii−i
χ10111111-1-1-1-111111111111-1-1-11-11111-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-11111-1-1-1-11111-1-1-1-1−i−iii−ii−i−iii−i−iii−ii
χ11111111-1-1-1-111111111111-1-1-11-11111-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-1-1-11111-1-1-1-11111ii−i−ii−iii−i−i−i−iii−ii
χ12111111-1-1-1-111111111111-1-1-11-11111-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-1-1-11111-1-1-1-11111−i−iii−ii−i−iiiii−i−ii−i
χ13111111-1-1-1-1111111111-1-1-1111-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111ii−i−ii−i−i−iii−i−iiii−i
χ14111111-1-1-1-1111111111-1-1-1111-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111−i−iii−iiii−i−iii−i−i−ii
χ15111111-1-1-1-1111111111-1-1-1111-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1ii−i−ii−i−i−iiiii−i−i−ii
χ16111111-1-1-1-1111111111-1-1-1111-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1−i−iii−iiii−i−i−i−iiii−i
χ172222222222−1+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+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−520000000000000000
χ182222222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ192222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-22-2-222−1+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+52−1−52-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ202222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-22-2-222−1+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+52−1−52-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521+521+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ212222222222−1−52−1+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+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+520000000000000000
χ222222222222−1−52−1+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+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ232222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-22-2-222−1−52−1−52−1+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+52-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ242222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-22-2-222−1−52−1−52−1+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+52-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ2522222222-2-222222222-222-2-2-2-22-2-2-2-222-2-222-2-22-2-22-2-2222-222222-22-222-2-222-2-2-2-2-2-2000000000000000000000000000000000000
χ2622222222-2-222222222-2-2-2-222-22-2-2-2-222-2-222-2-22-2-22-2-222-22-2-2-2-22-22-2-2-222-2-2222222000000000000000000000000000000000000
χ2722222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222-2-2-2-221−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+521−521−52−1−521+521+52−1+52−1−522-2−1+52−1+52−1−52−1−52−1+521−52−1−521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ2822222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222-2-2-2-221−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+521−521−52−1−521+521+52−1+52−1−522-2−1+52−1+52−1−52−1−52−1+521−52−1−521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ2922222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222-221−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+521−521−52−1−521+521+52−1+52−1−52-221−521−521+521+52−1+521−52−1−521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ3022222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222-221−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+521−521−52−1−521+521+52−1+52−1−52-221−521−521+521+52−1+521−52−1−521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1+52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ3122222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222-2-2-2-221+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−521+521+52−1+521−521−52−1−52−1+522-2−1−52−1−52−1+52−1+52−1−521+52−1+521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ3222222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222-2-2-2-221+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−521+521+52−1+521−521−52−1−52−1+522-2−1−52−1−52−1+52−1+52−1−521+52−1+521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ3322222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222-221+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−521+521+52−1+521−521−52−1−52−1+52-221+521+521−521−52−1−521+52−1+521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−52−1+52−1+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ3422222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222-221+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−521+521+52−1+521−521−52−1−52−1+52-221+521+521−521−52−1−521+52−1+521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1−52−1+52−1+520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ35222222-2-22222222222-222222-2-2-2-2-2-2-2-222-2-2222-2-22-2-222-2-22222-22-22-2-222-2-222-2-2-2-2000000000000000000000000000000000000
χ36222222-2-22222222222-2-2-22-2-2-2-2-2-2-2-2-2-222-2-2222-2-22-2-22222-2-2-2-2-22-2222-2-222-2-22222000000000000000000000000000000000000
χ37222222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222222-2-21−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+521−521−52−1−521+521+52−1+52−1−52-2-2−1+52−1+52−1−52−1−521−52−1+521+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ38222222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222222-2-21−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+521−521−52−1−521+521+52−1+52−1−52-2-2−1+52−1+52−1−52−1−521−52−1+521+52−1−521−521−52−1+52−1+521+521+52−1−52−1−521−521−521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ39222222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-22-2-2-2-21−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+521−521−52−1−521+521+52−1+52−1−52221−521−521+521+521−52−1+521+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ40222222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-22-2-2-2-21−521−521+521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+521−521−52−1−521+521+52−1+52−1−52221−521−521+521+521−52−1+521+52−1−52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ41222222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222222-2-21+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−521+521+52−1+521−521−52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+52−1−521−52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ42222222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222222-2-21+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−521+521+52−1+521−521−52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+52−1−521−52−1+521+521+52−1−52−1−521−521−52−1+52−1+521+521+521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ43222222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-22-2-2-2-21+521+521−521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−521+521+52−1+521−521−52−1−52−1+52221+521+521−521−521+52−1−521−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
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χ1038-88-800−8i8i00−2+25−2−252−25−2+252+25−2−252−252+250000000000004ζ22+4ζ38−4ζ22−4ζ38004ζ6+4ζ14−4ζ6−4ζ1400000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-800−8i8i00−2−25−2+252+25−2−252−25−2+252+252−250000000000004ζ6+4ζ14−4ζ6−4ζ14004ζ22+4ζ38−4ζ22−4ζ3800000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.