Finite Group Databasebeta

← Group #13024999

Character table — Group #13024999

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111224444444444888888888888881010101010101010161620202020323232324040404040404040808080808080
order1222442458888101010101020202020404040404040404044448888244488101020201616161616161616248888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111iiii−i−i−i−i-1-1ii−i−i
χ6111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111−i−i−i−iiiii-1-1−i−iii
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ9111111-1-1111-1-1111-1-11-1-111111-1-1-1-11-1-1111111-1-11-1-111-1-111-1-111-1-11-11-11-1
χ10111111-1-1111-1-1111-1-11-1-111111-1-1-1-11-1-1111111-1-11-1-111-1-1-1-111-1-1111-1-11-11
χ11111111-1-1111-1-1111-1-11-1-111111-1-1-1-11-1-111111-11-11-1-1-1-11111-1-111-1-1-11-11-11
χ12111111-1-1111-1-1111-1-11-1-111111-1-1-1-11-1-111111-11-11-1-1-1-111-1-111-1-111-111-11-1
χ13111111-1-1111-1-1111-1-11-1-111111-1-1-1-1-111-1-1-1-1-11-11-11111-1-1ii−i−i−i−iii-11i−i−ii
χ14111111-1-1111-1-1111-1-11-1-111111-1-1-1-1-111-1-1-1-1-11-11-11111-1-1−i−iiiii−i−i-11−iii−i
χ15111111-1-1111-1-1111-1-11-1-111111-1-1-1-1-111-1-1-1-1-1-111-111-1-111ii−i−i−i−iii1-1−iii−i
χ16111111-1-1111-1-1111-1-11-1-111111-1-1-1-1-111-1-1-1-1-1-111-111-1-111−i−iiiii−i−i1-1i−i−ii
χ17222222222-2-2-2-2222222222-2-2-2-2-2-2-2-22222-2-2-2-20022-2-2000000000000000000
χ18222222222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2222200-2-222000000000000000000
χ19222222-2-22-2-222222-2-22-2-22-2-2-2-222222-2-22-2-2-2-200-2222000000000000000000
χ20222222-2-22-2-222222-2-22-2-22-2-2-2-22222-222-22222002-2-2-2000000000000000000
χ212222-2-22-22000022222-2-2-2-2000000002-2-220000002-20000002−22−22−22−2000000
χ222222-2-22-22000022222-2-2-2-2000000002-2-220000002-2000000−22−22−22−22000000
χ232222-2-22-22000022222-2-2-2-200000000-222-2000000-22000000i2−i2i2−i2−i2i2−i2i2000000
χ242222-2-22-22000022222-2-2-2-200000000-222-2000000-22000000−i2i2−i2i2i2−i2i2−i2000000
χ252222-2-2-2220000222-2-2-222-2000000002222000000-2-20000002−2−222−2−22000000
χ262222-2-2-2220000222-2-2-222-2000000002222000000-2-2000000−222−2−222−2000000
χ272222-2-2-2220000222-2-2-222-200000000-2-2-2-200000022000000i2−i2−i2i2−i2i2i2−i2000000
χ282222-2-2-2220000222-2-2-222-200000000-2-2-2-200000022000000−i2i2i2−i2i2−i2−i2i2000000
χ2944444444-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000440000-1-1-1-100000000000000
χ3044444444-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-4-40000111100000000000000
χ3144444444-1-4-4-4-4-1-1-1-1-1-1-1-1-111111111000000000000005−55−500000000000000
χ3244444444-1-4-4-4-4-1-1-1-1-1-1-1-1-11111111100000000000000−55−5500000000000000
χ33444444-4-4-144-4-4-1-1-111-111-1-1-1-1-11111000000004-40000-1-11100000000000000
χ34444444-4-4-144-4-4-1-1-111-111-1-1-1-1-1111100000000-44000011-1-100000000000000
χ35444444-4-4-1-4-444-1-1-111-111-11111-1-1-1-1000000000000005−5−5500000000000000
χ36444444-4-4-1-4-444-1-1-111-111-11111-1-1-1-100000000000000−555−500000000000000
χ3744-4-44-40040000-44-400-4004000000000000000000004i−4i000000000000000000
χ3844-4-44-40040000-44-400-400400000000000000000000−4i4i000000000000000000
χ3944-4-4-440040000-44-400400-400000000000044-4-4000000000000000000000000
χ4044-4-4-440040000-44-400400-4000000000000-4-444000000000000000000000000
χ414-44-40000422−22004-4-40000002222−22−220000400-422−2222−22000000000000000000000000
χ424-44-40000422−22004-4-40000002222−22−220000-4004−2222−2222000000000000000000000000
χ434-44-400004−2222004-4-4000000−22−2222220000400-4−2222−2222000000000000000000000000
χ444-44-400004−2222004-4-4000000−22−2222220000-400422−2222−22000000000000000000000000
χ454-4-44000040022−22-4-4400000000002222−22−2204-4022−22−2222000000000000000000000000
χ464-4-44000040022−22-4-4400000000002222−22−220-440−222222−22000000000000000000000000
χ474-4-440000400−2222-4-440000000000−22−22222204-40−222222−22000000000000000000000000
χ484-4-440000400−2222-4-440000000000−22−2222220-44022−22−2222000000000000000000000000
χ498888-8-88-8-20000-2-2-2-2-222220000000000000000000000000000000000000000
χ508888-8-8-88-20000-2-2-2222-2-220000000000000000000000000000000000000000
χ5188-8-88-800-200002-2200200-225−2525−25000000000000000000000000000000000000
χ5288-8-88-800-200002-2200200-2−2525−2525000000000000000000000000000000000000
χ5388-8-8-8800-200002-2200-200200002i5−2i52i5−2i500000000000000000000000000000000
χ5488-8-8-8800-200002-2200-20020000−2i52i5−2i52i500000000000000000000000000000000
χ558-88-80000-242−4200-2220002i5−2i50−2−222i10−i10−i10i1000000000000000000000000000000000
χ568-88-80000-242−4200-222000−2i52i50−2−222−i10i10i10−i1000000000000000000000000000000000
χ578-88-80000-2−424200-2220002i5−2i5022−2−2−i10i10i10−i1000000000000000000000000000000000
χ588-88-80000-2−424200-222000−2i52i5022−2−2i10−i10−i10i1000000000000000000000000000000000
χ598-8-880000-20042−4222-225−25000010−10−1010−2−22200000000000000000000000000000000
χ608-8-880000-20042−4222-2−25250000−101010−10−2−22200000000000000000000000000000000
χ618-8-880000-200−424222-225−250000−101010−1022−2−200000000000000000000000000000000
χ628-8-880000-200−424222-2−2525000010−10−101022−2−200000000000000000000000000000000

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