Finite Group Databasebeta

← Group #11988077

Character table — Group #11988077

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101
size11111111222222222222222244444444444444888888888888888888888888888888161616161616161616161616161616161616164040404040404040404040408080
order1222222255101010101010101010101010101044444420202020202020204488882020202020202020404040404040404040404040404040402241010101010101010202020202020202044448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ511111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1
χ611111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11
χ711111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1
χ811111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11
χ92222222222222222222222222-2-2-22-2-2-2-2-2-2-2-2-20000002222-2-2-2-200000000000000000000000000000000000220000000000-20
χ102222222222222222222222222-2-2-22-2-2-2-2-2-2-2-2-20000002222-2-2-2-200000000000000000000000000000000000-2-2000000000020
χ11222222222222222222222222-22-22-2-222222222220000-2-2-2-2-2-2-2-2000000000000000000-200000000-2-2-2-2222200000000000000
χ12222222222222222222222222-22-22-2-222222222-2-20000-2-2-2-2-2-2-2-20000000000000000002000000002222-2-2-2-200000000000000
χ13222222222222222222222222-2-22-2-22-2-2-2-2-2-2-2-2000000-2-2-2-22222000000000000000000000000000000000000022000000000-2
χ14222222222222222222222222-2-22-2-22-2-2-2-2-2-2-2-2000000-2-2-2-222220000000000000000000000000000000000000-2-20000000002
χ1522222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52222−1+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+52−1−52−1−5200000000000000
χ1622222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2−1+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+521+521+521+521+52-2-221−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ1722222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-21−521−521−521−521+521+521+521+521−521−521+521+521−521−521+521+5200000000000000
χ1822222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2−1+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+521+521+521+521+5222-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000
χ1922222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-22-22-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522200001−521−521+521+521−521−521+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−ζ3600-2ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ2022222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-22-22-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522200001−521−521+521+521−521−521+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+ζ3600-2−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ2122222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-22-22-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-200001−521−521+521+521−521−521+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−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ2222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-22-22-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-200001−521−521+521+521−521−521+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+ζ36002ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ2322222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+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+5200000000000000
χ2422222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-221+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ2522222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22222−1−52−1−52−1+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+52−1+52−1+52−1+52−1+52-2-2-21+521+521+521+521−521−521−521−521+521+521−521−521+521+521−521−5200000000000000
χ2622222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5222-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000
χ2722222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-22-22-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522200001+521+521−521−521+521+521−521−52−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ2800-2−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ2822222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-22-22-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522200001+521+521−521−521+521+521−521−52ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ2800-2ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ2922222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-22-22-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-200001+521+521−521−521+521+521−521−52−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28002ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ3022222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-22-22-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-200001+521+521−521−521+521+521−521−52ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28002−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ31222-22-2-2-22222-222-2-2-2-2-2-2-2220-20200-2-2-2-222222-200000000000000000000000000000000000000000002-22-20000i2i2−i2−i2i2i2−i2−i200
χ32222-22-2-2-22222-222-2-2-2-2-2-2-2220-20200-2-2-2-222222-200000000000000000000000000000000000000000002-22-20000−i2−i2i2i2−i2−i2i2i200
χ33222-22-2-2-22222-222-2-2-2-2-2-2-2220-20200-2-2-2-22222-220000000000000000000000000000000000000000000-22-220000i2i2−i2−i2−i2−i2i2i200
χ34222-22-2-2-22222-222-2-2-2-2-2-2-2220-20200-2-2-2-22222-220000000000000000000000000000000000000000000-22-220000−i2−i2i2i2i2i2−i2−i200
χ3522-22-22-2-2222-222-222-22-2-2-2-2-2-2000200000000000i2i2−i2−i22-22-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000002-200i2−i2i2−i2000000
χ3622-22-22-2-2222-222-222-22-2-2-2-2-2-2000200000000000i2i2−i2−i22-22-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000000-2200−i2i2−i2i2000000
χ3722-22-22-2-2222-222-222-22-2-2-2-2-2-2000200000000000−i2−i2i2i22-22-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000002-200−i2i2−i2i2000000
χ3822-22-22-2-2222-222-222-22-2-2-2-2-2-2000200000000000−i2−i2i2i22-22-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000000-2200i2−i2i2−i2000000
χ392-22-2-22-2222-222-222-22-22-2-2-2-200200-20000000000i2−i2i2−i200002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000000002i−2i00002−22−200
χ402-22-2-22-2222-222-222-22-22-2-2-2-200200-20000000000i2−i2i2−i200002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000000000000−2i2i0000−22−2200
χ412-22-2-22-2222-222-222-22-22-2-2-2-200200-20000000000−i2i2−i2i200002-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000000002i−2i0000−22−2200
χ422-22-2-22-2222-222-222-22-22-2-2-2-200200-20000000000−i2i2−i2i200002-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000000−2i2i00002−22−200
χ4344444444−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1−5−1+5−1−54-4-4-44-41−51−51+51+51−51−51+51+5000000−1+5−1+5−1−5−1−51−51−51+51+50000000000000000000000000000000000000000000000000
χ4444444444−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1−5−1+5−1−5-4-44-4-441−51−51+51+51−51−51+51+50000001−51−51+51+5−1+5−1+5−1−5−1−50000000000000000000000000000000000000000000000000
χ4544444444−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1+54-4-4-44-41+51+51−51−51+51+51−51−5000000−1−5−1−5−1+5−1+51+51+51−51−50000000000000000000000000000000000000000000000000
χ4644444444−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1+5-4-44-4-441+51+51−51−51+51+51−51−50000001+51+51−51−5−1−5−1−5−1+5−1+50000000000000000000000000000000000000000000000000
χ47444-44-4-4-44444-444-4-4-4-4-4-4-444040-4004444-4-4-4-4000000000000000000000000000000000000000000000000000000000000000
χ48444-44-4-4-4−1+5−1−5−1+5−1+51−5−1−5−1−51+51−51−51+51+51−51+5−1+5−1−5040-400−1+5−1+5−1−5−1−51−51−51+51+500000000000000000000000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14000000000000000000
χ49444-44-4-4-4−1+5−1−5−1+5−1+51−5−1−5−1−51+51−51−51+51+51−51+5−1+5−1−5040-400−1+5−1+5−1−5−1−51−51−51+51+5000000000000000000000000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14000000000000000000
χ50444-44-4-4-4−1+5−1−5−1+5−1+51−5−1−5−1−51+51−51−51+51+51−51+5−1+5−1−50-404001−51−51+51+5−1+5−1+5−1−5−1−54-40000000000000000000000000000000000000000000−1+51−5−1−51+500000000000000
χ51444-44-4-4-4−1+5−1−5−1+5−1+51−5−1−5−1−51+51−51−51+51+51−51+5−1+5−1−50-404001−51−51+51+5−1+5−1+5−1−5−1−5-4400000000000000000000000000000000000000000001−5−1+51+5−1−500000000000000
χ52444-44-4-4-4−1−5−1+5−1−5−1−51+5−1+5−1+51−51+51+51−51−51+51−5−1−5−1+5040-400−1−5−1−5−1+5−1+51+51+51−51−5000000000000000000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38000000000000000000
χ53444-44-4-4-4−1−5−1+5−1−5−1−51+5−1+5−1+51−51+51+51−51−51+51−5−1−5−1+5040-400−1−5−1−5−1+5−1+51+51+51−51−500000000000000000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38000000000000000000
χ54444-44-4-4-4−1−5−1+5−1−5−1−51+5−1+5−1+51−51+51+51−51−51+51−5−1−5−1+50-404001+51+51−51−5−1−5−1−5−1+5−1+54-40000000000000000000000000000000000000000000−1−51+5−1+51−500000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.