Finite Group Databasebeta

← Group #11989712

Character table — Group #11989712

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111122222244448888888888882222444444888816161616161616161616161622224444448888161616161616161616161616555510101010101020202020404040404040404040404040
order1222444444244488888888888851010102020202020201020202040404040404040404040404051010102020202020201020202040404040404040404040404022224444442444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1
χ411111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111
χ511111-1-11-1-111-1-111-1-1ii−i−iii−i−i11111-1-11-1-111-1-111-1-1ii−i−iii−i−i11111-1-11-1-111-1-111-1-1ii−i−iii−i−i11111-1-11-1-111-1-111-1-1ii−i−iii−i−i
χ611111-1-11-1-111-1-111-1-1−i−iii−i−iii11111-1-11-1-111-1-111-1-1−i−iii−i−iii11111-1-11-1-111-1-111-1-1−i−iii−i−iii11111-1-11-1-111-1-111-1-1−i−iii−i−iii
χ711111-1-11-1-111-1-1-1-111ii−i−i−i−iii11111-1-11-1-111-1-1-1-111ii−i−i−i−iii11111-1-11-1-111-1-1-1-111ii−i−i−i−iii11111-1-11-1-111-1-1-1-111ii−i−i−i−iii
χ811111-1-11-1-111-1-1-1-111−i−iiiii−i−i11111-1-11-1-111-1-1-1-111−i−iiiii−i−i11111-1-11-1-111-1-1-1-111−i−iiiii−i−i11111-1-11-1-111-1-1-1-111−i−iiiii−i−i
χ91111-11-1-11-11-11-1i−ii−i1-11-1i−ii−i1111-11-1-11-11-11-1i−ii−i1-11-1i−ii−i1111-11-1-11-11-11-1i−ii−i1-11-1i−ii−i1111-11-1-11-11-11-1i−ii−i1-11-1i−ii−i
χ101111-11-1-11-11-11-1i−ii−i-11-11−ii−ii1111-11-1-11-11-11-1i−ii−i-11-11−ii−ii1111-11-1-11-11-11-1i−ii−i-11-11−ii−ii1111-11-1-11-11-11-1i−ii−i-11-11−ii−ii
χ111111-11-1-11-11-11-1−ii−ii1-11-1−ii−ii1111-11-1-11-11-11-1−ii−ii1-11-1−ii−ii1111-11-1-11-11-11-1−ii−ii1-11-1−ii−ii1111-11-1-11-11-11-1−ii−ii1-11-1−ii−ii
χ121111-11-1-11-11-11-1−ii−ii-11-11i−ii−i1111-11-1-11-11-11-1−ii−ii-11-11i−ii−i1111-11-1-11-11-11-1−ii−ii-11-11i−ii−i1111-11-1-11-11-11-1−ii−ii-11-11i−ii−i
χ131111-1-11-1-111-1-11i−i−iii−i−ii-111-11111-1-11-1-111-1-11i−i−iii−i−ii-111-11111-1-11-1-111-1-11i−i−iii−i−ii-111-11111-1-11-1-111-1-11i−i−iii−i−ii-111-1
χ141111-1-11-1-111-1-11i−i−ii−iii−i1-1-111111-1-11-1-111-1-11i−i−ii−iii−i1-1-111111-1-11-1-111-1-11i−i−ii−iii−i1-1-111111-1-11-1-111-1-11i−i−ii−iii−i1-1-11
χ151111-1-11-1-111-1-11−iii−ii−i−ii1-1-111111-1-11-1-111-1-11−iii−ii−i−ii1-1-111111-1-11-1-111-1-11−iii−ii−i−ii1-1-111111-1-11-1-111-1-11−iii−ii−i−ii1-1-11
χ161111-1-11-1-111-1-11−iii−i−iii−i-111-11111-1-11-1-111-1-11−iii−i−iii−i-111-11111-1-11-1-111-1-11−iii−i−iii−i-111-11111-1-11-1-111-1-11−iii−i−iii−i-111-1
χ17222222-222-2-2-2-22000000000000222222-222-2-2-2-22000000000000222222-222-2-2-2-22000000000000222222-222-2-2-2-22000000000000
χ1822222-222-22-2-22-200000000000022222-222-22-2-22-200000000000022222-222-22-2-22-200000000000022222-222-22-2-22-2000000000000
χ192222-222-222-22-2-20000000000002222-222-222-22-2-20000000000002222-222-222-22-2-20000000000002222-222-222-22-2-2000000000000
χ202222-2-2-2-2-2-2-22220000000000002222-2-2-2-2-2-2-22220000000000002222-2-2-2-2-2-2-22220000000000002222-2-2-2-2-2-2-2222000000000000
χ2144-4-400400-4000000000000000044-4-400400-4000000000000000044-4-400400-4000000000000000044-4-400400-40000000000000000
χ2244-4-400-4004000000000000000044-4-400-4004000000000000000044-4-400-4004000000000000000044-4-400-40040000000000000000
χ234-44-40400-4000000000000000004-44-40400-4000000000000000004-44-40400-4000000000000000004-44-40400-400000000000000000
χ244-44-40-4004000000000000000004-44-40-4004000000000000000004-44-40-4004000000000000000004-44-40-400400000000000000000
χ254-4-44400-40000000000000000004-4-44400-40000000000000000004-4-44400-40000000000000000004-4-44400-4000000000000000000
χ264-4-44-40040000000000000000004-4-44-40040000000000000000004-4-44-40040000000000000000004-4-44-4004000000000000000000
χ27111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ28111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ2911111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ3011111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ3111111-1-11-1-111-1-111-1-1ii−i−iii−i−i11111-1-11-1-111-1-111-1-1ii−i−iii−i−i11111-1-11-1-111-1-111-1-1ii−i−iii−i−i-1-1-1-1-111-111-1-111-1-111−i−iii−i−iii
χ3211111-1-11-1-111-1-111-1-1−i−iii−i−iii11111-1-11-1-111-1-111-1-1−i−iii−i−iii11111-1-11-1-111-1-111-1-1−i−iii−i−iii-1-1-1-1-111-111-1-111-1-111ii−i−iii−i−i
χ3311111-1-11-1-111-1-1-1-111ii−i−i−i−iii11111-1-11-1-111-1-1-1-111ii−i−i−i−iii11111-1-11-1-111-1-1-1-111ii−i−i−i−iii-1-1-1-1-111-111-1-11111-1-1−i−iiiii−i−i
χ3411111-1-11-1-111-1-1-1-111−i−iiiii−i−i11111-1-11-1-111-1-1-1-111−i−iiiii−i−i11111-1-11-1-111-1-1-1-111−i−iiiii−i−i-1-1-1-1-111-111-1-11111-1-1ii−i−i−i−iii
χ351111-11-1-11-11-11-1i−ii−i1-11-1i−ii−i1111-11-1-11-11-11-1i−ii−i1-11-1i−ii−i1111-11-1-11-11-11-1i−ii−i1-11-1i−ii−i-1-1-1-11-111-11-11-11−ii−ii-11-11−ii−ii
χ361111-11-1-11-11-11-1i−ii−i-11-11−ii−ii1111-11-1-11-11-11-1i−ii−i-11-11−ii−ii1111-11-1-11-11-11-1i−ii−i-11-11−ii−ii-1-1-1-11-111-11-11-11−ii−ii1-11-1i−ii−i
χ371111-11-1-11-11-11-1−ii−ii1-11-1−ii−ii1111-11-1-11-11-11-1−ii−ii1-11-1−ii−ii1111-11-1-11-11-11-1−ii−ii1-11-1−ii−ii-1-1-1-11-111-11-11-11i−ii−i-11-11i−ii−i
χ381111-11-1-11-11-11-1−ii−ii-11-11i−ii−i1111-11-1-11-11-11-1−ii−ii-11-11i−ii−i1111-11-1-11-11-11-1−ii−ii-11-11i−ii−i-1-1-1-11-111-11-11-11i−ii−i1-11-1−ii−ii
χ391111-1-11-1-111-1-11i−i−iii−i−ii-111-11111-1-11-1-111-1-11i−i−iii−i−ii-111-11111-1-11-1-111-1-11i−i−iii−i−ii-111-1-1-1-1-111-111-1-111-1−iii−i−iii−i1-1-11
χ401111-1-11-1-111-1-11i−i−ii−iii−i1-1-111111-1-11-1-111-1-11i−i−ii−iii−i1-1-111111-1-11-1-111-1-11i−i−ii−iii−i1-1-11-1-1-1-111-111-1-111-1−iii−ii−i−ii-111-1
χ411111-1-11-1-111-1-11−iii−ii−i−ii1-1-111111-1-11-1-111-1-11−iii−ii−i−ii1-1-111111-1-11-1-111-1-11−iii−ii−i−ii1-1-11-1-1-1-111-111-1-111-1i−i−ii−iii−i-111-1
χ421111-1-11-1-111-1-11−iii−i−iii−i-111-11111-1-11-1-111-1-11−iii−i−iii−i-111-11111-1-11-1-111-1-11−iii−i−iii−i-111-1-1-1-1-111-111-1-111-1i−i−iii−i−ii1-1-11
χ43222222-222-2-2-2-22000000000000222222-222-2-2-2-22000000000000222222-222-2-2-2-22000000000000-2-2-2-2-2-22-2-22222-2000000000000
χ4422222-222-22-2-22-200000000000022222-222-22-2-22-200000000000022222-222-22-2-22-2000000000000-2-2-2-2-22-2-22-222-22000000000000
χ452222-222-222-22-2-20000000000002222-222-222-22-2-20000000000002222-222-222-22-2-2000000000000-2-2-2-22-2-22-2-22-222000000000000
χ462222-2-2-2-2-2-2-22220000000000002222-2-2-2-2-2-2-22220000000000002222-2-2-2-2-2-2-2222000000000000-2-2-2-22222222-2-2-2000000000000
χ4744-4-400400-4000000000000000044-4-400400-4000000000000000044-4-400400-40000000000000000-4-44400-40040000000000000000
χ4844-4-400-4004000000000000000044-4-400-4004000000000000000044-4-400-40040000000000000000-4-44400400-40000000000000000
χ494-44-40400-4000000000000000004-44-40400-4000000000000000004-44-40400-400000000000000000-44-440-400400000000000000000
χ504-44-40-4004000000000000000004-44-40-4004000000000000000004-44-40-400400000000000000000-44-440400-400000000000000000
χ514-4-44400-40000000000000000004-4-44400-40000000000000000004-4-44400-4000000000000000000-444-4-4004000000000000000000
χ524-4-44-40040000000000000000004-4-44-40040000000000000000004-4-44-4004000000000000000000-444-4400-4000000000000000000
χ5322222222222222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000000000000
χ54222222222222222222-2-2-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+5200000000000000000000000000
χ5522222222222222-2-2-2-22222-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+5200000000000000000000000000
χ5622222222222222-2-2-2-2-2-2-2-22222−1+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+521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−5200000000000000000000000000
χ5722222-2-22-2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ700000000000000000000000000
χ5822222-2-22-2-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ700000000000000000000000000
χ5922222-2-22-2-222-2-2-2-2222i2i−2i−2i−2i−2i2i2i−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+52−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−521+521+521+521+52−1−52−1−52−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ700000000000000000000000000
χ6022222-2-22-2-222-2-2-2-222−2i−2i2i2i2i2i−2i−2i−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+52ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−521+521+521+521+52−1−52−1−52ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ700000000000000000000000000
χ612222-22-2-22-22-22-22i−2i2i−2i2-22-22i−2i2i−2i−1+52−1+52−1+52−1+521−52−1+521−521−52−1+521−52−1+521−52−1+521−52−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−1+521−52−1+521−52−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−1−52−1−52−1−52−1−521+52−1−521+521+52−1−521+52−1−521+52−1−521+52−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−1−521+52−1−521+52−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ700000000000000000000000000
χ622222-22-2-22-22-22-22i−2i2i−2i-22-22−2i2i−2i2i−1+52−1+52−1+52−1+521−52−1+521−521−52−1+521−52−1+521−52−1+521−52−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ191−52−1+521−52−1+52ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19−1−52−1−52−1−52−1−521+52−1−521+521+52−1−521+52−1−521+52−1−521+52−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ71+52−1−521+52−1−52ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ700000000000000000000000000
χ632222-22-2-22-22-22-2−2i2i−2i2i2-22-2−2i2i−2i2i−1+52−1+52−1+52−1+521−52−1+521−521−52−1+521−52−1+521−52−1+521−52ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19−1+521−52−1+521−52ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19−1−52−1−52−1−52−1−521+52−1−521+521+52−1−521+52−1−521+52−1−521+52ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7−1−521+52−1−521+52ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ700000000000000000000000000
χ642222-22-2-22-22-22-2−2i2i−2i2i-22-222i−2i2i−2i−1+52−1+52−1+52−1+521−52−1+521−521−52−1+521−52−1+521−52−1+521−52ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ191−52−1+521−52−1+52−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−1−52−1−52−1−52−1−521+52−1−521+521+52−1−521+52−1−521+52−1−521+52ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ71+52−1−521+52−1−52−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ700000000000000000000000000
χ652222-2-22-2-222-2-222i−2i−2i2i2i−2i−2i2i-222-2−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+521−521−52−1+52−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ191−52−1+52−1+521−52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−521+521+52−1−52−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ71+52−1−52−1−521+5200000000000000000000000000
χ662222-2-22-2-222-2-222i−2i−2i2i−2i2i2i−2i2-2-22−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+521−521−52−1+52−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19−1+521−521−52−1+52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−521+521+52−1−52−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−1−521+521+52−1−5200000000000000000000000000
χ672222-2-22-2-222-2-22−2i2i2i−2i2i−2i−2i2i2-2-22−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+521−521−52−1+52ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−1+521−521−52−1+52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−521+521+52−1−52ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−1−521+521+52−1−5200000000000000000000000000
χ682222-2-22-2-222-2-22−2i2i2i−2i−2i2i2i−2i-222-2−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+521−521−52−1+52ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ191−52−1+52−1+521−52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−521+521+52−1−52ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ71+52−1−52−1−521+5200000000000000000000000000
χ69444444-444-4-4-4-44000000000000−1+5−1+5−1+5−1+5−1+5−1+51−5−1+5−1+51−51−51−51−5−1+5000000000000−1−5−1−5−1−5−1−5−1−5−1−51+5−1−5−1−51+51+51+51+5−1−500000000000000000000000000000000000000
χ7044444-444-44-4-44-4000000000000−1+5−1+5−1+5−1+5−1+51−5−1+5−1+51−5−1+51−51−5−1+51−5000000000000−1−5−1−5−1−5−1−5−1−51+5−1−5−1−51+5−1−51+51+5−1−51+500000000000000000000000000000000000000
χ714444-444-444-44-4-4000000000000−1+5−1+5−1+5−1+51−5−1+5−1+51−5−1+5−1+51−5−1+51−51−5000000000000−1−5−1−5−1−5−1−51+5−1−5−1−51+5−1−5−1−51+5−1−51+51+500000000000000000000000000000000000000
χ724444-4-4-4-4-4-4-4444000000000000−1+5−1+5−1+5−1+51−51−51−51−51−51−51−5−1+5−1+5−1+5000000000000−1−5−1−5−1−5−1−51+51+51+51+51+51+51+5−1−5−1−5−1−500000000000000000000000000000000000000
χ7388-8-800800-80000000000000000−2+25−2+252−252−2500−2+25002−250000000000000000−2−25−2−252+252+2500−2−25002+25000000000000000000000000000000000000000000
χ7488-8-800-80080000000000000000−2+25−2+252−252−25002−2500−2+250000000000000000−2−25−2−252+252+25002+2500−2−25000000000000000000000000000000000000000000
χ758-88-80800-800000000000000000−2+252−25−2+252−250−2+25002−2500000000000000000−2−252+25−2−252+250−2−25002+250000000000000000000000000000000000000000000
χ768-88-80-800800000000000000000−2+252−25−2+252−2502−2500−2+2500000000000000000−2−252+25−2−252+2502+2500−2−250000000000000000000000000000000000000000000
χ778-8-88800-8000000000000000000−2+252−252−25−2+25−2+25002−25000000000000000000−2−252+252+25−2−25−2−25002+2500000000000000000000000000000000000000000000
χ788-8-88-8008000000000000000000−2+252−252−25−2+252−2500−2+25000000000000000000−2−252+252+25−2−252+2500−2−2500000000000000000000000000000000000000000000
χ7922222222222222222222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200000000000000000000000000
χ80222222222222222222-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+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+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−5200000000000000000000000000
χ8122222222222222-2-2-2-22222-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+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+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−521−521−5200000000000000000000000000
χ8222222222222222-2-2-2-2-2-2-2-22222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+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+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+5200000000000000000000000000
χ8322222-2-22-2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ1900000000000000000000000000
χ8422222-2-22-2-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ1900000000000000000000000000
χ8522222-2-22-2-222-2-2-2-2222i2i−2i−2i−2i−2i2i2i−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−521+521+521+521+52−1−52−1−52−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+52−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ1900000000000000000000000000
χ8622222-2-22-2-222-2-2-2-222−2i−2i2i2i2i2i−2i−2i−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−521+521+521+521+52−1−52−1−52ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+52ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ1900000000000000000000000000
χ872222-22-2-22-22-22-22i−2i2i−2i2-22-22i−2i2i−2i−1−52−1−52−1−52−1−521+52−1−521+521+52−1−521+52−1−521+52−1−521+52−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−1−521+52−1−521+52−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−1+52−1+52−1+52−1+521−52−1+521−521−52−1+521−52−1+521−52−1+521−52−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−1+521−52−1+521−52−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ1900000000000000000000000000
χ882222-22-2-22-22-22-22i−2i2i−2i-22-22−2i2i−2i2i−1−52−1−52−1−52−1−521+52−1−521+521+52−1−521+52−1−521+52−1−521+52−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ71+52−1−521+52−1−52ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7−1+52−1+52−1+52−1+521−52−1+521−521−52−1+521−52−1+521−52−1+521−52−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ191−52−1+521−52−1+52ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ1900000000000000000000000000
χ892222-22-2-22-22-22-2−2i2i−2i2i2-22-2−2i2i−2i2i−1−52−1−52−1−52−1−521+52−1−521+521+52−1−521+52−1−521+52−1−521+52ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7−1−521+52−1−521+52ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7−1+52−1+52−1+52−1+521−52−1+521−521−52−1+521−52−1+521−52−1+521−52ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19−1+521−52−1+521−52ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ1900000000000000000000000000
χ902222-22-2-22-22-22-2−2i2i−2i2i-22-222i−2i2i−2i−1−52−1−52−1−52−1−521+52−1−521+521+52−1−521+52−1−521+52−1−521+52ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ71+52−1−521+52−1−52−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−1+52−1+52−1+52−1+521−52−1+521−521−52−1+521−52−1+521−52−1+521−52ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ191−52−1+521−52−1+52−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ1900000000000000000000000000
χ912222-2-22-2-222-2-222i−2i−2i2i2i−2i−2i2i-222-2−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−521+521+52−1−52−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ71+52−1−52−1−521+52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+521−521−52−1+52−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ191−52−1+52−1+521−5200000000000000000000000000
χ922222-2-22-2-222-2-222i−2i−2i2i−2i2i2i−2i2-2-22−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−521+521+52−1−52−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−1−521+521+52−1−52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+521−521−52−1+52−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19−1+521−521−52−1+5200000000000000000000000000
χ932222-2-22-2-222-2-22−2i2i2i−2i2i−2i−2i2i2-2-22−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−521+521+52−1−52ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−1−521+521+52−1−52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+521−521−52−1+52ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−1+521−521−52−1+5200000000000000000000000000
χ942222-2-22-2-222-2-22−2i2i2i−2i−2i2i2i−2i-222-2−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−521+521+52−1−52ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ71+52−1−52−1−521+52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+521−521−52−1+52ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ191−52−1+52−1+521−5200000000000000000000000000
χ95444444-444-4-4-4-44000000000000−1−5−1−5−1−5−1−5−1−5−1−51+5−1−5−1−51+51+51+51+5−1−5000000000000−1+5−1+5−1+5−1+5−1+5−1+51−5−1+5−1+51−51−51−51−5−1+500000000000000000000000000000000000000
χ9644444-444-44-4-44-4000000000000−1−5−1−5−1−5−1−5−1−51+5−1−5−1−51+5−1−51+51+5−1−51+5000000000000−1+5−1+5−1+5−1+5−1+51−5−1+5−1+51−5−1+51−51−5−1+51−500000000000000000000000000000000000000
χ974444-444-444-44-4-4000000000000−1−5−1−5−1−5−1−51+5−1−5−1−51+5−1−5−1−51+5−1−51+51+5000000000000−1+5−1+5−1+5−1+51−5−1+5−1+51−5−1+5−1+51−5−1+51−51−500000000000000000000000000000000000000
χ984444-4-4-4-4-4-4-4444000000000000−1−5−1−5−1−5−1−51+51+51+51+51+51+51+5−1−5−1−5−1−5000000000000−1+5−1+5−1+5−1+51−51−51−51−51−51−51−5−1+5−1+5−1+500000000000000000000000000000000000000
χ9988-8-800800-80000000000000000−2−25−2−252+252+2500−2−25002+250000000000000000−2+25−2+252−252−2500−2+25002−25000000000000000000000000000000000000000000
χ10088-8-800-80080000000000000000−2−25−2−252+252+25002+2500−2−250000000000000000−2+25−2+252−252−25002−2500−2+25000000000000000000000000000000000000000000
χ1018-88-80800-800000000000000000−2−252+25−2−252+250−2−25002+2500000000000000000−2+252−25−2+252−250−2+25002−250000000000000000000000000000000000000000000
χ1028-88-80-800800000000000000000−2−252+25−2−252+2502+2500−2−2500000000000000000−2+252−25−2+252−2502−2500−2+250000000000000000000000000000000000000000000
χ1038-8-88800-8000000000000000000−2−252+252+25−2−25−2−25002+25000000000000000000−2+252−252−25−2+25−2+25002−2500000000000000000000000000000000000000000000
χ1048-8-88-8008000000000000000000−2−252+252+25−2−252+2500−2−25000000000000000000−2+252−252−25−2+252−2500−2+2500000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.