Finite Group Databasebeta

← Group #10603887

Character table — Group #10603887

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122444444444444448888888888881010101010101010202020204040404040404040
order12442444588881010102020202020202020404040404040404022444444888844448888
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii
χ5111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-11-11-1
χ6111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-11-11
χ7111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111i−i−iii−i−ii
χ8111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−iii−i−iii−i
χ9111111-1-1111-1-11111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11-11-1-11-11
χ10111111-1-1111-1-11111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-11-111-11-1
χ11111111-1-1111-1-11111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111i−i−ii−iii−i
χ12111111-1-1111-1-11111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111−iii−ii−i−ii
χ13111111-1-11-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1
χ14111111-1-11-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111
χ15111111-1-11-1-1111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1ii−i−i−i−iii
χ16111111-1-11-1-1111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1−i−iiiii−i−i
χ172222-2-2002002i−2i2-2-222-2-2000000002i2i−2i−2i2-200002-2002i−2i00000000
χ182222-2-2002002i−2i2-2-222-2-2000000002i2i−2i−2i-220000-2200−2i2i00000000
χ192222-2-200200−2i2i2-2-222-2-200000000−2i−2i2i2i2-200002-200−2i2i00000000
χ202222-2-200200−2i2i2-2-222-2-200000000−2i−2i2i2i-220000-22002i−2i00000000
χ2122-2-22-20022i−2i00222-2-2-2-200002i2i−2i−2i0000220000-2-22i−2i0000000000
χ2222-2-22-20022i−2i00222-2-2-2-200002i2i−2i−2i0000-2-2000022−2i2i0000000000
χ2322-2-22-2002−2i2i00222-2-2-2-20000−2i−2i2i2i0000220000-2-2−2i2i0000000000
χ2422-2-22-2002−2i2i00222-2-2-2-20000−2i−2i2i2i0000-2-20000222i−2i0000000000
χ2522-2-2-222i−2i200002-2-2-2-2222i2i−2i−2i000000002-22i2i−2i−2i-22000000000000
χ2622-2-2-222i−2i200002-2-2-2-2222i2i−2i−2i00000000-22−2i−2i2i2i2-2000000000000
χ2722-2-2-22−2i2i200002-2-2-2-222−2i−2i2i2i000000002-2−2i−2i2i2i-22000000000000
χ2822-2-2-22−2i2i200002-2-2-2-222−2i−2i2i2i00000000-222i2i−2i−2i2-2000000000000
χ2944444444-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ3044444444-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-11111111100000000000000000000
χ31444444-4-4-144-4-4-1-1-1-1-1-1-11111-1-1-1-1111100000000000000000000
χ32444444-4-4-1-4-444-1-1-1-1-1-1-111111111-1-1-1-100000000000000000000
χ334444-4-400-1004i−4i-111-1-111i5−i5i5−i55−55−5−i−iii00000000000000000000
χ344444-4-400-1004i−4i-111-1-111−i5i5−i5i5−55−55−i−iii00000000000000000000
χ354444-4-400-100−4i4i-111-1-111i5−i5i5−i5−55−55ii−i−i00000000000000000000
χ364444-4-400-100−4i4i-111-1-111−i5i5−i5i55−55−5ii−i−i00000000000000000000
χ3744-4-44-400-14i−4i00-1-1-111115−5−55−i−iiii5−i5i5−i500000000000000000000
χ3844-4-44-400-14i−4i00-1-1-11111−555−5−i−iii−i5i5−i5i500000000000000000000
χ3944-4-44-400-1−4i4i00-1-1-111115−5−55ii−i−i−i5i5−i5i500000000000000000000
χ4044-4-44-400-1−4i4i00-1-1-11111−555−5ii−i−ii5−i5i5−i500000000000000000000
χ4144-4-4-444i−4i-10000-11111-1-1−i−iiii5−i5−i5i5−555−500000000000000000000
χ4244-4-4-444i−4i-10000-11111-1-1−i−iii−i5i5i5−i55−5−5500000000000000000000
χ4344-4-4-44−4i4i-10000-11111-1-1ii−i−ii5−i5−i5i55−5−5500000000000000000000
χ4444-4-4-44−4i4i-10000-11111-1-1ii−i−i−i5i5i5−i5−555−500000000000000000000
χ454-44i−4i000040000-4004i−4i00000000000000002+2i−2−2i2−2i−2+2i00000000000000
χ464-44i−4i000040000-4004i−4i0000000000000000−2−2i2+2i−2+2i2−2i00000000000000
χ474-4−4i4i000040000-400−4i4i00000000000000002−2i−2+2i2+2i−2−2i00000000000000
χ484-4−4i4i000040000-400−4i4i0000000000000000−2+2i2−2i−2−2i2+2i00000000000000
χ498-88i−8i0000-20000225−25−2i2i2i5−2i500000000000000000000000000000000
χ508-88i−8i0000-200002−2525−2i2i−2i52i500000000000000000000000000000000
χ518-8−8i8i0000-20000225−252i−2i−2i52i500000000000000000000000000000000
χ528-8−8i8i0000-200002−25252i−2i2i5−2i500000000000000000000000000000000

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