Finite Group Databasebeta

← Group #12002411

Character table — Group #12002411

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222222224444444444444444444444888888888888888888888888161616161616161616161616161616161616161620202020202020204040404080808080
order1222224444444455101010101010441010101020202020202020202020202020202020888820202020404040404040404040404040404040404444202020202020202020202020202020204444444488884488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ611111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ711111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1
χ811111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111
χ922222222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222−1+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
χ1022222222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000000000000000
χ1122222222222222−1+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+52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+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
χ1222222222222222−1+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+52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000
χ1322222222222222−1−52−1+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+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
χ1422222222222222−1−52−1+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+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
χ1522222222222222−1−52−1+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+52-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+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
χ1622222222222222−1−52−1+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+52-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000000
χ17222222222-2-2-2-2222222222-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-20000000000000000000000000000000000002222-2-2-2-200000000
χ18222222222-2-2-2-2222222222-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-2000000000000000000000000000000000000-2-2-2-2222200000000
χ19222222-2-2-222-2-2-2222222222-22222-2-2-2-2-2-2-2-2-2-2-2-2222200002-22-20000000000000000002-20000000022-2-222-2-20000000000000000
χ20222222-2-2-222-2-2-2222222222-22222-2-2-2-2-2-2-2-2-2-2-2-2222200002-22-2000000000000000000-2200000000-2-222-2-2220000000000000000
χ21222222-2-2-222-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000−1+521−52−1−521+52ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36002-2ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+521−521−52−1−52−1−521+521+520000000000000000
χ22222222-2-2-222-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000−1+521−52−1−521+52ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ3600-22−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−52−1+52−1+521+521+52−1−52−1−520000000000000000
χ23222222-2-2-222-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000−1+521−52−1−521+52−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36002-2−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+521−521−52−1−52−1−521+521+520000000000000000
χ24222222-2-2-222-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000−1+521−52−1−521+52−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ3600-22ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−52−1+52−1+521+521+52−1−52−1−520000000000000000
χ25222222-2-2-222-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000−1−521+52−1+521−52−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28002-2−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1−521+521+52−1+52−1+521−521−520000000000000000
χ26222222-2-2-222-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000−1−521+52−1+521−52−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ2800-22ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521+52−1−52−1−521−521−52−1+52−1+520000000000000000
χ27222222-2-2-222-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000−1−521+52−1+521−52ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28002-2ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1−521+521+52−1+52−1+521−521−520000000000000000
χ28222222-2-2-222-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000−1−521+52−1+521−52ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ2800-22−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521+52−1−52−1−521−521−52−1+52−1+520000000000000000
χ29222222-2-2-2-2-222-222222222-222222-2-2-2-2-2-2-2-22222-2-2-2-20000-22-220000000000000000000000000000000000000000000000002-200
χ30222222-2-2-2-2-222-222222222-222222-2-2-2-2-2-2-2-22222-2-2-2-20000-22-22000000000000000000000000000000000000000000000000-2200
χ312222-2-222-22222-222222222-2-2-2-2-2-222-2-222-2-2222222220000-2-2-2-2000000000000000000000000000000000000000000000000002i−2i
χ322222-2-222-22222-222222222-2-2-2-2-2-222-2-222-2-2222222220000-2-2-2-200000000000000000000000000000000000000000000000000−2i2i
χ332222-2-222-2-2-2-2-2-22222222222-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-20000222200000000000000002-2002-22-22-22-2000000000000000000000000
χ342222-2-222-2-2-2-2-2-22222222222-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-2000022220000000000000000-2200-22-22-22-22000000000000000000000000
χ352222-2-222-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52221−521+521−521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+521−521−521+521+520000−1+52−1+52−1−52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ142-200−1+521−52−1+521−52−1−521+52−1−521+52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ140000000000000000
χ362222-2-222-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52221−521+521−521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+521−521−521+521+520000−1+52−1+52−1−52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14-22001−52−1+521−52−1+521+52−1−521+52−1−52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ140000000000000000
χ372222-2-222-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52221−521+521−521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+521−521−521+521+520000−1+52−1+52−1−52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ142-200−1+521−52−1+521−52−1−521+52−1−521+52ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ140000000000000000
χ382222-2-222-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52221−521+521−521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+521−521−521+521+520000−1+52−1+52−1−52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14-22001−52−1+521−52−1+521+52−1−521+52−1−52−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ140000000000000000
χ392222-2-222-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52221+521−521+521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−521+521+521−521−520000−1−52−1−52−1+52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ382-200−1−521+52−1−521+52−1+521−52−1+521−52ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ380000000000000000
χ402222-2-222-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52221+521−521+521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−521+521+521−521−520000−1−52−1−52−1+52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38-22001+52−1−521+52−1−521−52−1+521−52−1+52−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ380000000000000000
χ412222-2-222-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52221+521−521+521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−521+521+521−521−520000−1−52−1−52−1+52−1+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ382-200−1−521+52−1−521+52−1+521−52−1+521−52−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ22+ζ38ζ22−ζ380000000000000000
χ422222-2-222-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52221+521−521+521−52−1−52−1−521+521+52−1+52−1+521−521−521+521+521−521−521+521+521−521−520000−1−52−1−52−1+52−1+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38-22001+52−1−521+52−1−521−52−1+521−52−1+52ζ6−ζ14−ζ6+ζ14ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ22−ζ38−ζ22+ζ380000000000000000
χ432222-2-2-2-2222-2-2222222222-22-2-2-2-2-2-222-2-222-2-2-2-222220000-22-22000000000000000000000000000000000000000000002i2i−2i−2i0000
χ442222-2-2-2-2222-2-2222222222-22-2-2-2-2-2-222-2-222-2-2-2-222220000-22-2200000000000000000000000000000000000000000000−2i−2i2i2i0000
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χ1048-8-8800000−8i8i000−2−25−2+252+252−252+25−2−252−25−2+250000000000000000004ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ38000000000000000000000000000000000000000000000000000000000000

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