Finite Group Databasebeta

← Group #12135354

Character table — Group #12135354

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size112222222222222222244444444444444444444444888888888888888888888888888816161616161616161616161616161616161620202020404040404040404040408080
order1222244445588101010101010888101010102020202020202020404040404040404022222488101010102020202040404040404040404040404044101010101010101020202020202020202244224444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ6111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111111111-1-1111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-111111-11-1-1-111-1-11-1
χ1011111111111-1-1111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-111-11
χ1111111111111-1-1111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-1-11
χ1211111111111-1-1111111-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-111111-1
χ1311111111111-1-1111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111-11-11-1-111-1-1-11
χ1411111111111-1-1111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-1111-1
χ1511111111111-1-1111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-11111-11-1111-1-1-1-11-1
χ1611111111111-1-1111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-11111-11
χ17222222222−1+52−1−5222−1+52−1+52−1+52−1−52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+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
χ18222222222−1+52−1−5222−1+52−1+52−1+52−1−52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222-2-2-2-21−521−521+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
χ19222222222−1+52−1−5222−1+52−1+52−1+52−1−52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+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
χ20222222222−1+52−1−5222−1+52−1+52−1+52−1−52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+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
χ21222222222−1+52−1−52-2-2−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2−1+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+5222-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+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
χ22222222222−1+52−1−52-2-2−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2−1+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+5222-2-2-2-2221−521−521+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
χ23222222222−1+52−1−52-2-2−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2−1+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+52-2-22222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+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
χ24222222222−1+52−1−52-2-2−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2−1+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+52-2-222-2-2221−521−521+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
χ25222222222−1−52−1+5222−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+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
χ26222222222−1−52−1+5222−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222-2-2-2-21+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
χ27222222222−1−52−1+5222−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+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
χ28222222222−1−52−1+5222−1−52−1−52−1−52−1+52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+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
χ29222222222−1−52−1+52-2-2−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+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
χ30222222222−1−52−1+52-2-2−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2-2-2-2221+521+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
χ31222222222−1−52−1+52-2-2−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-22222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+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
χ32222222222−1−52−1+52-2-2−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-222-2-2221+521+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
χ33222-2-222-2-222002-2-22-2-20002-22-222-222-2-2-2000000000000002i−2i0000000000002i2i−2i−2i2i2i−2i−2i00000000000000000022-2-200002i−2i000000
χ34222-2-222-2-222002-2-22-2-20002-22-222-222-2-2-2000000000000002i−2i0000000000002i2i−2i−2i2i2i−2i−2i000000000000000000-2-2220000−2i2i000000
χ35222-2-222-2-222002-2-22-2-20002-22-222-222-2-2-200000000000000−2i2i000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000022-2-20000−2i2i000000
χ36222-2-222-2-222002-2-22-2-20002-22-222-222-2-2-200000000000000−2i2i000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000-2-22200002i−2i000000
χ37222-2-2-2-22222222-2-22-2-22-2-22-22-2-2-22-2-222222-2-222-2-200000000000000002-22-200000000000000000000000000000022-2-200000000
χ38222-2-2-2-22222222-2-22-2-22-2-22-22-2-2-22-2-222222-2-222-2-200000000000000002-22-2000000000000000000000000000000-2-22200000000
χ39222-2-2-2-22222-2-22-2-22-2-2-2222-22-2-2-22-2-2222-2-222-2-2220000000000000000-22-220000000000000000000000000000002-2-2200000000
χ40222-2-2-2-22222-2-22-2-22-2-2-2222-22-2-2-22-2-2222-2-222-2-2220000000000000000-22-22000000000000000000000000000000-222-200000000
χ4122-22-22-22-22222222222-22-2-2-2-2-22-2-22-2-222222222222-22-2000000000000-2-2-2-200000000002-22-22-22-2000000000000000000000000
χ4222-22-22-22-22222222222-22-2-2-2-2-22-2-22-2-22222222222-22-22000000000000-2-2-2-20000000000-22-22-22-22000000000000000000000000
χ4322-22-22-22-222-2-22222222-22-2-2-2-22-2-22-2-222-2-2-2-2-2-2-2-22-2-22000000000000222200000000002-22-2-22-22000000000000000000000000
χ4422-22-22-22-222-2-22222222-22-2-2-2-22-2-22-2-222-2-2-2-2-2-2-2-2-222-200000000000022220000000000-22-222-22-2000000000000000000000000
χ4522-22-22-22-2−1+52−1−5222−1+52−1+52−1+52−1−52−1−52−1−52-22-21−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-22-20000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ3600−1+521−52−1−521+52−1+521−52−1−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ4622-22-22-22-2−1+52−1−5222−1+52−1+52−1+52−1−52−1−52−1−52-22-21−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-22-20000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ3600−1+521−52−1−521+52−1+521−52−1−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ4722-22-22-22-2−1+52−1−5222−1+52−1+52−1+52−1−52−1−52−1−52-22-21−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-220000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36001−52−1+521+52−1−521−52−1+521+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ4822-22-22-22-2−1+52−1−5222−1+52−1+52−1+52−1−52−1−52−1−52-22-21−521−521+521+52−1+521−521−52−1−521+521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-220000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36001−52−1+521+52−1−521−52−1+521+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
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χ1028-80000000−2−25−2+2542−422+254ζ4−4ζ36−4ζ4+4ζ362−254ζ12−4ζ28−4ζ12+4ζ280000000000000002ζ21+2ζ29−2ζ31−2ζ39−2ζ21−2ζ29+2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ39−2ζ7+2ζ13−2ζ23+2ζ372ζ7−2ζ13+2ζ23−2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ3700000000000000000000000000000000000000000000000000000000000000
χ1038-80000000−2−25−2+25−42422+25−4ζ4+4ζ364ζ4−4ζ362−25−4ζ12+4ζ284ζ12−4ζ28000000000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ39−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ3700000000000000000000000000000000000000000000000000000000000000
χ1048-80000000−2−25−2+25−42422+254ζ4−4ζ36−4ζ4+4ζ362−254ζ12−4ζ28−4ζ12+4ζ28000000000000000−2ζ21−2ζ29+2ζ31+2ζ392ζ21+2ζ29−2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ392ζ7−2ζ13+2ζ23−2ζ37−2ζ7+2ζ13−2ζ23+2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ3700000000000000000000000000000000000000000000000000000000000000

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