Finite Group Databasebeta

← Group #12090912

Character table — Group #12090912

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101
size1111222222222222444444444444444448888888888888888888888888888881010101016161616161616161616161616161616161616202020202020404040404040808080
order1222444455101010101010224448888202020202020202022441010101010101010202020202020202020204040404040404040888824810101010101020202020202040404040888888448888448
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1111111111111111111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1
χ41111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ5111111111111111111-1-11-1-1-1-111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11-1
χ6111111111111111111-1-11-1-1-1-111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-11
χ7111111111111111111-1-11-1-1-1-111111111-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11-11
χ8111111111111111111-1-11-1-1-1-111111111-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1111111-1-111-11-1
χ91111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-11-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111-1-1
χ101111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-111
χ111111111111111111-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-111
χ121111111111111111-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-1-1-1-1-11111-1-111111111-1-11-1-1
χ131111111111111111-1-1-1-11111111111111-111-1-1-1-1-11111111111-1-1-1-1111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11
χ141111111111111111-1-1-1-11111111111111-111-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1
χ151111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-111-1
χ161111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ1722222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−520000222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000
χ1822222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+52000000000000000
χ1922222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-22-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2222−1+52−1+52−1−52−1−52−1+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+521−521−521+521+5200002-2-21−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000000000000
χ2022222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-22-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+520000-2221−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000
χ2122222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+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+520000-22-2−1+52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000
χ2222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−522-2-2-21−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200002-22−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000
χ2322222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-221−521+521−521−521+521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000
χ2422222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222222−1+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+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000022-21−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000
χ2522222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000
χ2622222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−52000000000000000
χ2722222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-22-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2222−1−52−1−52−1+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+521−521−521+521+521−521−5200002-2-21+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000000000000
χ2822222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-22-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−520000-2221+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000
χ2922222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52222-21+521+521−521−52−1−52−1−52−1+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+521−521−520000-22-2−1−52−1+521+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000
χ3022222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522-2-2-21+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200002-22−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000
χ3122222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-221+521−521+521+521−521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000
χ3222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000022-21+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000
χ3322222-22-2222222222222-222-2-2-2-2-2-22222-200-2222200000000-2-22222-2-2-2-222220000000-2-20000-2-200000000000000000000000
χ3422222-22-22222222222-2-2-2-2-222-2-2-2-22222200-2222200000000-2-2-2-2-2-22222-2-2-2-20000000220000-2-200000000000000000000000
χ3522222-22-222222222-2-222-2-2-222-2-2-2-22222-2002-2-2-2-200000000-2-222222222-2-2-2-20000000-2-200002200000000000000000000000
χ3622222-22-222222222-2-2-2-2-222-2-2-2-2-2-222222002-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2222200000002200002200000000000000000000000
χ3722222-22-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222-222-2-21−521−521+521+52−1+52−1−52−1+52−1−52-200-2−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000001−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000
χ3822222-22-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222-222-2-21−521−521+521+52−1+52−1−52−1+52−1−52-200-2−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000001−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000
χ3922222-22-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2-2221−521−521+521+52−1+52−1−52−1+52−1−52200-2−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000
χ4022222-22-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2-2221−521−521+521+52−1+52−1−52−1+52−1−52200-2−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000
χ4122222-22-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2-2221−521−521+521+52−1+52−1−52−1+52−1−52-20021−521−521+521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000001−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000
χ4222222-22-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222-2-2-2221−521−521+521+52−1+52−1−52−1+52−1−52-20021−521−521+521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000001−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000
χ4322222-22-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-222-2-21−521−521+521+52−1+52−1−52−1+52−1−5220021−521−521+521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000
χ4422222-22-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-222-2-21−521−521+521+52−1+52−1−52−1+52−1−5220021−521−521+521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000
χ4522222-22-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222-222-2-21+521+521−521−52−1−52−1+52−1−52−1+52-200-2−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000001+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000
χ4622222-22-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222-222-2-21+521+521−521−52−1−52−1+52−1−52−1+52-200-2−1−52−1−52−1+52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000001+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000
χ4722222-22-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2-2221+521+521−521−52−1−52−1+52−1−52−1+52200-2−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000
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χ654444-44-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−50000-40000−1+5−1+5−1−5−1−51−51+51−51+504-400000−1+5−1+5−1−5−1−51−51−51+51+51−51+500000000000000000000000000000000000000000000000000
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χ1008-8-880-808−2+25−2−252−252+252−25−2+252+25−2−250000000002−25−2+252+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-880-808−2−25−2+252+252−252+25−2−252−25−2+250000000002+25−2−252−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000

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