Finite Group Databasebeta

← Group #94296

Character table — Group #94296

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444444448888881616161616161616161616161616161616161616161616161616
order12222222222222444444444444444444448888888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ611111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ711111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ811111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ91-1-111-1-111-111-1-111-1-11-1-1-1111-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1
χ101-1-111-1-111-111-1-111-1-11-1-1-1111-1ii−i−iii−i−i−i−iii−i−iii-1-111-1-111
χ111-1-111-1-111-111-1-111-1-11-1-1-1111-1−i−iii−i−iiiii−i−iii−i−i-1-111-1-111
χ121-1-111-1-111-111-1-111-1-11-1-1-1111-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-1
χ131-1-111-1-111-111-1-1-1-111-1111-1-11-1ii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i
χ141-1-111-1-111-111-1-1-1-111-1111-1-11-1ii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii
χ151-1-111-1-111-111-1-1-1-111-1111-1-11-1−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii
χ161-1-111-1-111-111-1-1-1-111-1111-1-11-1−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i
χ1722222222222222222222-2-2-2-2-2-2000000000000000000000000
χ1822222222222222-2-2-2-2-2-22222-2-2000000000000000000000000
χ19222222-2-2-2-22-22-22222-2-20000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ20222222-2-2-2-22-22-22222-2-20000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ21222222-2-2-2-22-22-2-2-2-2-22200000000000000000000002−22−2−22−22
χ22222222-2-2-2-22-22-2-2-2-2-2220000000000000000000000−22−222−22−2
χ23222222-2-2-2-2-22-220000002i−2i2i−2i00000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ24222222-2-2-2-2-22-220000002i−2i2i−2i0000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ25222222-2-2-2-2-22-22000000−2i2i−2i2i00000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ26222222-2-2-2-2-22-22000000−2i2i−2i2i0000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ272-2-222-22-2-222-2-2222-2-2-220000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ282-2-222-22-2-222-2-2222-2-2-220000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ292-2-222-22-2-222-2-22-2-2222-200000000000000000000002−2−22−222−2
χ302-2-222-22-2-222-2-22-2-2222-20000000000000000000000−222−22−2−22
χ312-2-222-22-2-22-222-20000002i−2i−2i2i00000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000
χ322-2-222-22-2-22-222-20000002i−2i−2i2i0000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000
χ332-2-222-22-2-22-222-2000000−2i2i2i−2i00000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000
χ342-2-222-22-2-22-222-2000000−2i2i2i−2i0000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000
χ352-2-222-2-222-222-2-222-2-22-222-2-2-22000000000000000000000000
χ362-2-222-2-222-222-2-2-2-222-22-2-222-22000000000000000000000000
χ374444444444-4-4-4-4000000000000000000000000000000000000
χ384444-4-444-4-4000000000000000000002i−2i2i−2i0000000000000000
χ394444-4-444-4-400000000000000000000−2i2i−2i2i0000000000000000
χ404444-4-4-4-44400000000000000002-22-200000000000000000000
χ414444-4-4-4-4440000000000000000-22-2200000000000000000000
χ424-4-444-4-444-4-4-444000000000000000000000000000000000000
χ434-4-44-444-44-400000000000000002i−2i−2i2i00000000000000000000
χ444-4-44-444-44-40000000000000000−2i2i2i−2i00000000000000000000
χ454-4-44-44-44-44000000000000000000002-2-220000000000000000
χ464-4-44-44-44-4400000000000000000000-222-20000000000000000
χ4788-8-800000000004i−4i4i−4i00000000000000000000000000000000
χ4888-8-80000000000−4i4i−4i4i00000000000000000000000000000000
χ498-88-800000000004i−4i−4i4i00000000000000000000000000000000
χ508-88-80000000000−4i4i4i−4i00000000000000000000000000000000

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