Finite Group Databasebeta

← Group #13024645

Character table — Group #13024645

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111224444444444888888888888881010101010101010161620202020323232324040404040404040808080808080
order1222444458888101010202020202020404040404040404044448888242488101020201616161616161616448888
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
χ9111111-1-1111-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11-1-111111-1-1ii−i−iii−i−i1-1i−ii−i
χ10111111-1-1111-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11-1-111111-1-1−i−iii−i−iii1-1−ii−ii
χ11111111-1-1111-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-11-1111-1-111ii−i−iii−i−i-11−ii−ii
χ12111111-1-1111-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-11-1111-1-111−i−iii−i−iii-11i−ii−i
χ13111111-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-11111111-11-1-1-111-1-111-1-1-1-111-111-1-11
χ14111111-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-11111111-11-1-1-111-1-1-1-11111-1-1-11-111-1
χ15111111-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-1111111-111-1-1-1-1-11111-1-1-1-1111-1-111-1
χ16111111-1-1111-1-1111-1-1-1-1111111-1-1-1-1-1-1111111-111-1-1-1-1-111-1-11111-1-11-11-1-11
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
χ19222222-2-22-2-222222-2-2-2-222-2-2-2-2222222-2-2222200-22-2-2000000000000000000
χ20222222-2-22-2-222222-2-2-2-222-2-2-2-22222-2-222-2-2-2-2002-222000000000000000000
χ212222-2-22-22000022222-2-2-2-2000000002222000000-2-20000002−22−22−22−2000000
χ222222-2-22-22000022222-2-2-2-2000000002222000000-2-2000000−22−22−22−22000000
χ232222-2-22-22000022222-2-2-2-200000000-2-2-2-200000022000000i2−i2i2−i2−i2i2−i2i2000000
χ242222-2-22-22000022222-2-2-2-200000000-2-2-2-200000022000000−i2i2−i2i2i2−i2i2−i2000000
χ252222-2-2-2220000222-2-222-2-20000000022-2-20000002-2000000i2−i2−i2i2i2−i2−i2i2000000
χ262222-2-2-2220000222-2-222-2-20000000022-2-20000002-2000000−i2i2i2−i2−i2i2i2−i2000000
χ272222-2-2-2220000222-2-222-2-200000000-2-222000000-220000002−2−22−222−2000000
χ282222-2-2-2220000222-2-222-2-200000000-2-222000000-22000000−222−22−2−22000000
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
χ33444444-4-4-144-4-4-1-1-11111-1-1-1-1-1-11111000000004-40000-1-11100000000000000
χ34444444-4-4-144-4-4-1-1-11111-1-1-1-1-1-1111100000000-44000011-1-100000000000000
χ35444444-4-4-1-4-444-1-1-11111-1-11111-1-1-1-1000000000000005−5−5500000000000000
χ36444444-4-4-1-4-444-1-1-11111-1-11111-1-1-1-100000000000000−555−500000000000000
χ3744-4-44-40040000-4-4400004-4000000000000000000004i−4i000000000000000000
χ3844-4-44-40040000-4-4400004-400000000000000000000−4i4i000000000000000000
χ3944-4-4-440040000-4-440000-440000000000004i4i−4i−4i000000000000000000000000
χ4044-4-4-440040000-4-440000-44000000000000−4i−4i4i4i000000000000000000000000
χ414-44-400004002i2−2i24-4-400000000002i22i2−2i2−2i24i−4i0022−2222−22000000000000000000000000
χ424-44-400004002i2−2i24-4-400000000002i22i2−2i2−2i2−4i4i00−2222−2222000000000000000000000000
χ434-44-40000400−2i22i24-4-40000000000−2i2−2i22i22i24i−4i00−2222−2222000000000000000000000000
χ444-44-40000400−2i22i24-4-40000000000−2i2−2i22i22i2−4i4i0022−2222−22000000000000000000000000
χ454-4-440000422−2200-44-40000002222−22−220000004i−4i2i2−2i2−2i22i2000000000000000000000000
χ464-4-440000422−2200-44-40000002222−22−22000000−4i4i−2i22i22i2−2i2000000000000000000000000
χ474-4-4400004−222200-44-4000000−22−2222220000004i−4i−2i22i22i2−2i2000000000000000000000000
χ484-4-4400004−222200-44-4000000−22−222222000000−4i4i2i2−2i2−2i22i2000000000000000000000000
χ498888-8-88-8-20000-2-2-2-2-222220000000000000000000000000000000000000000
χ508888-8-8-88-20000-2-2-222-2-2220000000000000000000000000000000000000000
χ5188-8-88-800-2000022-20000-2225−2525−25000000000000000000000000000000000000
χ5288-8-88-800-2000022-20000-22−2525−2525000000000000000000000000000000000000
χ5388-8-8-8800-2000022-200002-2000025−2525−2500000000000000000000000000000000
χ5488-8-8-8800-2000022-200002-20000−2525−252500000000000000000000000000000000
χ558-88-80000-2004i2−4i2-222002i5−2i50010−10−1010−i2−i2i2i200000000000000000000000000000000
χ568-88-80000-2004i2−4i2-22200−2i52i500−101010−10−i2−i2i2i200000000000000000000000000000000
χ578-88-80000-200−4i24i2-222002i5−2i500−101010−10i2i2−i2−i200000000000000000000000000000000
χ588-88-80000-200−4i24i2-22200−2i52i50010−10−1010i2i2−i2−i200000000000000000000000000000000
χ598-8-880000-242−42002-222i5−2i50000−2−222i10−i10−i10i1000000000000000000000000000000000
χ608-8-880000-242−42002-22−2i52i50000−2−222−i10i10i10−i1000000000000000000000000000000000
χ618-8-880000-2−4242002-222i5−2i5000022−2−2−i10i10i10−i1000000000000000000000000000000000
χ628-8-880000-2−4242002-22−2i52i5000022−2−2i10−i10−i10i1000000000000000000000000000000000

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