Finite Group Databasebeta

← Group #65783

Character table — Group #65783

Order 320.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size112444558881010101010202020112444558881010101010202020
order12445104420202024444288224410104420202024444288
χ111111111111111111111111111111111111111
χ2111111111111-1-1-1-11-1-1111111111111-1-1-1-11-1-1
χ3111111-1-1111-1ii−i−i-1i−i111111-1-1111-1ii−i−i-1i−i
χ4111111-1-1111-1−i−iii-1−ii111111-1-1111-1−i−iii-1−ii
χ5111-111111-1-111111-1-1-1111-111111-1-111111-1-1-1
χ6111-111111-1-11-1-1-1-1-111111-111111-1-11-1-1-1-1-111
χ7111-111-1-11-1-1-1ii−i−i1−ii111-111-1-11-1-1-1ii−i−i1−ii
χ8111-111-1-11-1-1-1−i−iii1i−i111-111-1-11-1-1-1−i−iii1i−i
χ922-202222-200-2000000022-202222-200-20000000
χ1022-2022-2-2-2002000000022-2022-2-2-20020000000
χ112-2002-22i−2i00001+i−1−i1−i−1+i0002-2002-22i−2i00001+i−1−i1−i−1+i000
χ122-2002-22i−2i0000−1−i1+i−1+i1−i0002-2002-22i−2i0000−1−i1+i−1+i1−i000
χ132-2002-2−2i2i00001−i−1+i1+i−1−i0002-2002-2−2i2i00001−i−1+i1+i−1−i000
χ142-2002-2−2i2i0000−1+i1−i−1−i1+i0002-2002-2−2i2i0000−1+i1−i−1−i1+i000
χ154444-1-100-1-1-1000000004444-1-100-1-1-100000000
χ16444-4-1-100-11100000000444-4-1-100-11100000000
χ1744-40-1-10015−50000000044-40-1-10015−500000000
χ1844-40-1-1001−550000000044-40-1-1001−5500000000
χ198-800-2200000000000008-800-220000000000000
χ201111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ21111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ22111111-1-1111-1ii−i−i-1i−i-1-1-1-1-1-111-1-1-11−i−iii1−ii
χ23111111-1-1111-1−i−iii-1−ii-1-1-1-1-1-111-1-1-11ii−i−i1i−i
χ24111-111111-1-111111-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1111
χ25111-111111-1-11-1-1-1-1-111-1-1-11-1-1-1-1-111-111111-1-1
χ26111-111-1-11-1-1-1ii−i−i1−ii-1-1-11-1-111-1111−i−iii-1i−i
χ27111-111-1-11-1-1-1−i−iii1i−i-1-1-11-1-111-1111ii−i−i-1−ii
χ2822-202222-200-20000000-2-220-2-2-2-220020000000
χ2922-2022-2-2-20020000000-2-220-2-222200-20000000
χ302-2002-22i−2i00001+i−1−i1−i−1+i000-2200-22−2i2i0000−1−i1+i−1+i1−i000
χ312-2002-22i−2i0000−1−i1+i−1+i1−i000-2200-22−2i2i00001+i−1−i1−i−1+i000
χ322-2002-2−2i2i00001−i−1+i1+i−1−i000-2200-222i−2i0000−1+i1−i−1−i1+i000
χ332-2002-2−2i2i0000−1+i1−i−1−i1+i000-2200-222i−2i00001−i−1+i1+i−1−i000
χ344444-1-100-1-1-100000000-4-4-4-4110011100000000
χ35444-4-1-100-11100000000-4-4-4411001-1-100000000
χ3644-40-1-10015−500000000-4-4401100-1−5500000000
χ3744-40-1-1001−5500000000-4-4401100-15−500000000
χ388-800-220000000000000-88002-20000000000000

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