Finite Group Databasebeta

← Group #10604474

Character table — Group #10604474

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111122444444888888881010101010101010161616162020202020202020404040404040
order12224424510101024101020202020444444441010202088888888448888
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1ii−i−i
χ411111111111111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1−i−iii
χ5111111111111-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ6111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ8111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ91111-1-1-1111111-1-1-111-1-11111-1-1-1-111-1-1ii−i−iii−i−i-11i−ii−i
χ101111-1-1-1111111-1-1-111-1-11111-1-1-1-111-1-1−i−iii−i−iii-11−ii−ii
χ111111-1-1-1111111-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1111-11-1-11
χ121111-1-1-1111111-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-11-1-111-1
χ131111-1-1-111111-11-1-111-1-11111-1-1-1-1-1-111ii−i−iii−i−i1-1−ii−ii
χ141111-1-1-111111-11-1-111-1-11111-1-1-1-1-1-111−i−iii−i−iii1-1i−ii−i
χ151111-1-1-111111-11-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-11-111-1
χ161111-1-1-111111-11-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-111-1-11
χ17222222-2-2222200-2-2-2-22222-2-2-2-222000000000000000000
χ18222222-2-2222200-2-2-2-222-2-22222-2-2000000000000000000
χ192222-2-22-222220022-2-2-2-222-2-222-2-2000000000000000000
χ202222-2-22-222220022-2-2-2-2-2-222-2-222000000000000000000
χ212-2-222i−2i0022-2-20000002i−2i002-22i−2i0000001+i−1−i1−i−1+i1+i−1−i1−i−1+i000000
χ222-2-222i−2i0022-2-20000002i−2i002-22i−2i000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i000000
χ232-2-222i−2i0022-2-20000002i−2i00-22−2i2i0000001−i−1+i−1−i1+i−1+i1−i1+i−1−i000000
χ242-2-222i−2i0022-2-20000002i−2i00-22−2i2i000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i000000
χ252-2-22−2i2i0022-2-2000000−2i2i002-2−2i2i0000001−i−1+i1+i−1−i1−i−1+i1+i−1−i000000
χ262-2-22−2i2i0022-2-2000000−2i2i002-2−2i2i000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i000000
χ272-2-22−2i2i0022-2-2000000−2i2i00-222i−2i0000001+i−1−i−1+i1−i−1−i1+i1−i−1+i000000
χ282-2-22−2i2i0022-2-2000000−2i2i00-222i−2i000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i000000
χ2944444444-1-1-1-144-1-1-1-1-1-100000000-1-1-1-100000000000000
χ3044444444-1-1-1-1-4-4-1-1-1-1-1-100000000111100000000000000
χ31444444-4-4-1-1-1-1001111-1-1000000005−55−500000000000000
χ32444444-4-4-1-1-1-1001111-1-100000000−55−5500000000000000
χ334444-4-44-4-1-1-1-100-1-11111000000005−5−5500000000000000
χ344444-4-44-4-1-1-1-100-1-1111100000000−555−500000000000000
χ354444-4-4-44-1-1-1-14-411-1-11100000000-1-11100000000000000
χ364444-4-4-44-1-1-1-1-4411-1-1110000000011-1-100000000000000
χ3744-4-400004-44-4000000004i−4i000000000000000000000000
χ3844-4-400004-44-400000000−4i4i000000000000000000000000
χ394-44-400004-4-44000000000000004i−4i000000000000000000
χ404-44-400004-4-4400000000000000−4i4i000000000000000000
χ4188-8-80000-22-22000025−250000000000000000000000000000
χ4288-8-80000-22-220000−25250000000000000000000000000000
χ438-88-80000-222-20025−25000000000000000000000000000000
χ448-88-80000-222-200−2525000000000000000000000000000000
χ458-8-888i−8i00-2-222000000−2i2i00000000000000000000000000
χ468-8-88−8i8i00-2-2220000002i−2i00000000000000000000000000

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