Finite Group Databasebeta

← Group #11988455

Character table — Group #11988455

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101
size11111111222222222222222244444444444444888888888888888888888888888888161616161616161616161616161616161616164040404040404040404040408080
order1222222255101010101010101010101010101044444420202020202020204488882020202020202020404040404040404040404040404040404442020202020202020202020202020202044448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
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
χ711111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111-1
χ811111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-11
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
χ11222222222222222222222222-22-2-2-22-2-2-2-2-2-2-2-2000000-2-2-2-22222000000000000000000000000000000000000022000000000-2
χ12222222222222222222222222-22-2-2-22-2-2-2-2-2-2-2-2000000-2-2-2-222220000000000000000000000000000000000000-2-20000000002
χ13222222222222222222222222-2-222-2-222222222220000-2-2-2-2-2-2-2-20000000000000000-2002222-2-2-2-20000000000000000000000
χ14222222222222222222222222-2-222-2-222222222-2-20000-2-2-2-2-2-2-2-20000000000000000200-2-2-2-222220000000000000000000000
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+522-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+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+52-2221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000
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+52−1−52-2-222-2-2−1+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−ζ36-200−1+52−1+52−1−52−1−521−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600000000000000
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+52−1−52-2-222-2-2−1+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+ζ36-200−1+52−1+52−1−52−1−521−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600000000000000
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+52−1−52-2-222-2-2−1+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−ζ362001−521−521+521+52−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600000000000000
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+52−1−52-2-222-2-2−1+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+ζ362001−521−521+521+52−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600000000000000
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+521−521−521−521−521−521−521−521−522-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200000000000000
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+521−521−521−521−521−521−521−521−52-2221+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+52-2-222-2-2−1−52−1−52−1+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−ζ28-200−1−52−1−52−1+52−1+521+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800000000000000
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+52-2-222-2-2−1−52−1−52−1+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+ζ28-200−1−52−1−52−1+52−1+521+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800000000000000
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+52-2-222-2-2−1−52−1−52−1+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−ζ282001+521+521−521−52−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800000000000000
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+52-2-222-2-2−1−52−1−52−1+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+ζ282001+521+521−521−52−1−52−1−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800000000000000
χ31222-22-2-2-22222222-22-2-2-2-2-2-2-22000-20000000000022−2−22-22-2000022−2−222−2−222−2−222−2−200000000000000000002-20022−2−2000000
χ32222-22-2-2-22222222-22-2-2-2-2-2-2-22000-20000000000022−2−22-22-2000022−2−222−2−222−2−222−2−20000000000000000000-2200−2−222000000
χ33222-22-2-2-22222222-22-2-2-2-2-2-2-22000-200000000000−2−2222-22-20000−2−222−2−222−2−222−2−22200000000000000000002-200−2−222000000
χ34222-22-2-2-22222222-22-2-2-2-2-2-2-22000-200000000000−2−2222-22-20000−2−222−2−222−2−222−2−2220000000000000000000-220022−2−2000000
χ3522-2-2-2-222222-22-2-2-2-2-2-2-22222002-2002222-2-2-2-22i−2i00000000000000000000000000000002i−2i2i−2i00000000000000002−22−2i2i2−i2−i200
χ3622-2-2-2-222222-22-2-2-2-2-2-2-22222002-2002222-2-2-2-22i−2i00000000000000000000000000000002i−2i2i−2i0000000000000000−22−22−i2−i2i2i200
χ3722-2-2-2-222222-22-2-2-2-2-2-2-22222002-2002222-2-2-2-2−2i2i0000000000000000000000000000000−2i2i−2i2i00000000000000002−22−2−i2−i2i2i200
χ3822-2-2-2-222222-22-2-2-2-2-2-2-22222002-2002222-2-2-2-2−2i2i0000000000000000000000000000000−2i2i−2i2i0000000000000000−22−22i2i2−i2−i200
χ392-2-2-222-2222-22-22-22-22-2-2-2-22202000-20000000000i2−i2i2−i200002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000000002i−2i00002−22−200
χ402-2-2-222-2222-22-22-22-22-2-2-2-22202000-20000000000i2−i2i2−i200002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000000000000−2i2i0000−22−2200
χ412-2-2-222-2222-22-22-22-22-2-2-2-22202000-20000000000−i2i2−i2i200002-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000000002i−2i0000−22−2200
χ422-2-2-222-2222-22-22-22-22-2-2-2-22202000-20000000000−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+5−1−5-44-4-4-441−51−51+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+5-44-4-4-441+51+51−51−51+51+51−51−50000001+51+51−51−5−1−5−1−5−1+5−1+50000000000000000000000000000000000000000000000000
χ47444-44-4-4-44444444-44-4-4-4-4-4-4-4-40004000000000000000-44-4400000000000000000000000000000000000000000000000000000
χ48444-44-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+51−5−1−51+51−51+51−51+51−51+54000-4000000000002222−22−22−1+51−5−1−51+50000−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39000000000000000000000000000000000
χ49444-44-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+51−5−1−51+51−51+51−51+51−51+54000-400000000000−22−222222−1+51−5−1−51+50000ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39000000000000000000000000000000000
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χ1008-888-8-8-88−2+25−2−252−252−252+252+25−2+252−25−2−252+25−2+25−2−252−252+25−2+25−2−2500000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-888-8-8-88−2−25−2+252+252+252−252−25−2−252+25−2+252−25−2−25−2+252+252−25−2−25−2+2500000000000000000000000000000000000000000000000000000000000000000000000000000

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