Finite Group Databasebeta

← Group #13019324

Character table — Group #13019324

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111224444444444445555888881010161616161616161616161616161620202020404040404040404040404040404040404040404040
order12222222445101010101010102222224442210101010101020202020202020202244224444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-111111-1-111111111111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ6111111111111111111-1-1-1-111111-1-111111111111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ7111111111111111111-1-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111111111-1-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-111−i−i−i−iiiiiiiii−i−i−i−i
χ9111111-1-11111111111111111-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-111-1-111-1-111-1-111-1-1
χ10111111-1-11111111111111111-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-111-1-111-1-111
χ11111111-1-111111111111111-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-11111-1-111-1-1-1-111-1-111
χ12111111-1-111111111111111-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-111-1-111-1-11111-1-111-1-1
χ13111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111ii−i−i−i−iiiii−i−i−i−iii
χ14111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111−i−iiiii−i−i−i−iiiii−i−i
χ15111111-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1111-1-1−i−iiiii−i−iii−i−i−i−iii
χ1722222222-2-222222222222200-20022220000-2-2-2-2000022-2-200-2000000000000000000
χ1822222222-2-222222222-2-2-2-200-200-2-2220000-2-2-2-20000-2-222002000000000000000000
χ19222222-2-2-2-22222222222220020022-2-20000-2-2220000-2-2-2-2002000000000000000000
χ20222222-2-2-2-222222222-2-2-2-200200-2-2-2-20000-2-2220000222200-2000000000000000000
χ212222-2-2002-222-2-222-2-2222200000-2-20000002-2000000002-200000002-2002-200000000
χ222222-2-2002-222-2-222-2-2222200000-2-20000002-2000000002-20000000-2200-2200000000
χ232222-2-2002-222-2-222-2-2-2-2-2-200000220000002-200000000-2200000002i−2i00−2i2i00000000
χ242222-2-2002-222-2-222-2-2-2-2-2-200000220000002-200000000-220000000−2i2i002i−2i00000000
χ252222-2-200-2222-2-222-2-2222200000-2-2000000-2200000000-22000002-2002-20000000000
χ262222-2-200-2222-2-222-2-2222200000-2-2000000-2200000000-2200000-2200-220000000000
χ272222-2-200-2222-2-222-2-2-2-2-2-20000022000000-22000000002-2000002i−2i00−2i2i0000000000
χ282222-2-200-2222-2-222-2-2-2-2-2-20000022000000-22000000002-200000−2i2i002i−2i0000000000
χ2922-2-2-222-20022-2-2-2-22222-2-2000002-22-20000000000002-2000000000000000i2−i2i2−i2i2−i2i2−i2
χ3022-2-2-222-20022-2-2-2-22222-2-2000002-22-20000000000002-2000000000000000−i2i2−i2i2−i2i2−i2i2
χ3122-2-2-222-20022-2-2-2-222-2-22200000-222-2000000000000-220000000000000002−22−2−22−22
χ3222-2-2-222-20022-2-2-2-222-2-22200000-222-2000000000000-22000000000000000−22−222−22−2
χ3322-2-2-22-220022-2-2-2-22222-2-2000002-2-22000000000000-22000000000000000i2−i2−i2i2i2−i2−i2i2
χ3422-2-2-22-220022-2-2-2-22222-2-2000002-2-22000000000000-22000000000000000−i2i2i2−i2−i2i2i2−i2
χ3522-2-2-22-220022-2-2-2-222-2-22200000-22-220000000000002-20000000000000002−2−22−222−2
χ3622-2-2-22-220022-2-2-2-222-2-22200000-22-220000000000002-2000000000000000−222−22−2−22
χ374444444444-1-1-1-1-1-1-1-100004444400-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000
χ384444444444-1-1-1-1-1-1-1-10000-4-44-4-400-1-11111-1-1-1-111110000000000000000000000000
χ3944444444-4-4-1-1-1-1-1-1-1-1000000-40000-1-155−5−5111155−5−50000000000000000000000000
χ4044444444-4-4-1-1-1-1-1-1-1-1000000-40000-1-1−5−5551111−5−5550000000000000000000000000
χ41444444-4-444-1-1-1-1-1-1-1-1000044-4-4-40011-1-1-1-1-1-11111110000000000000000000000000
χ42444444-4-444-1-1-1-1-1-1-1-10000-4-4-44400111111-1-111-1-1-1-10000000000000000000000000
χ43444444-4-4-4-4-1-1-1-1-1-1-1-1000000400001155−5−511-1-1−5−5550000000000000000000000000
χ44444444-4-4-4-4-1-1-1-1-1-1-1-10000004000011−5−55511-1-155−5−50000000000000000000000000
χ4544-4-44-400004444-4-4-4-444-4-400000-44000000000000000000000000000000000000000
χ4644-4-44-400004444-4-4-4-4-4-444000004-4000000000000000000000000000000000000000
χ474-44-40000004-4004-4004-44-42-200000002-22-20000000000002-20000000000000000000
χ484-44-40000004-4004-4004-44-4-220000000-22-22000000000000-220000000000000000000
χ494-44-40000004-4004-400-44-442-200000002-22-2000000000000-220000000000000000000
χ504-44-40000004-4004-400-44-44-220000000-22-220000000000002-20000000000000000000
χ514-4-440000004-400-44004-4-440002-20000000000002-22-200000002-20000000000000000
χ524-4-440000004-400-44004-4-44000-22000000000000-22-220000000-220000000000000000
χ534-4-440000004-400-4400-444-40002-20000000000002-22-20000000-220000000000000000
χ544-4-440000004-400-4400-444-4000-22000000000000-22-2200000002-20000000000000000
χ558888-8-8008-8-2-222-2-22200000000000000000-220000000000000000000000000000000
χ568888-8-800-88-2-222-2-222000000000000000002-20000000000000000000000000000000
χ5788-8-88-80000-2-2-2-2222200000000000000000002i5−2i500000000000000000000000000000
χ5888-8-88-80000-2-2-2-222220000000000000000000−2i52i500000000000000000000000000000
χ5988-8-8-888-800-2-22222-2-200000000000-220000000000000000000000000000000000000
χ6088-8-8-88-8800-2-22222-2-2000000000002-20000000000000000000000000000000000000
χ618-88-8000000-2225−25-2225−2500004-40000000−1+51−5−1−51+5000000000000000000000000000000000
χ628-88-8000000-2225−25-2225−250000-4400000001−5−1+51+5−1−5000000000000000000000000000000000
χ638-88-8000000-22−2525-22−252500004-40000000−1−51+5−1+51−5000000000000000000000000000000000
χ648-88-8000000-22−2525-22−25250000-4400000001+5−1−51−5−1+5000000000000000000000000000000000
χ658-8-88000000-2225−252-2−252500000004-4000000000000−1−51+5−1+51−50000000000000000000000000
χ668-8-88000000-2225−252-2−25250000000-440000000000001+5−1−51−5−1+50000000000000000000000000
χ678-8-88000000-22−25252-225−2500000004-4000000000000−1+51−5−1−51+50000000000000000000000000
χ688-8-88000000-22−25252-225−250000000-440000000000001−5−1+51+5−1−50000000000000000000000000

Here i is the imaginary unit (i² = −1).