Finite Group Databasebeta

← Group #460369

Character table — Group #460369

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222222244448888888888888888881616161616161616161616161616161616161616
order12222222222222222222444422444444444444444422444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111-1-1-1-111-1-1-1-1111111111-11-111-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111-1-1-1-111111111-11-11-1-111-1-1-1-11111-1-1-1-1
χ7111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-111111111
χ8111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111-1-1-1-11111
χ911111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-11-1-1-11111-1-111-1-111-1-1
χ1011111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-11-1111-1-1-1-111-1-11111-1-1
χ1111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111-11-1-1-111-1-111-1-111-1-111
χ1211111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-11-1111-1-111-1-111-1-1-1-111
χ1311111111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111
χ1411111111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ1511111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1
χ1611111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ1722222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2220000000000000000000000000000
χ1822222222222-2-2-2-2-2-2-2-222222-2-222-2-222-2-20000000000000000000000000000
χ1922222222222-2-2-2-2-2-2-2-22-2-2-2-2222222-2-2-2-20000000000000000000000000000
χ2022222222222-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-22222220000000000000000000000000000
χ2122222222-2-2-222-2-222-2-2-222-2-200002-2000000000000020-2002-2000000000000
χ2222222222-2-2-222-2-222-2-2-222-2-200002-20000000000000-20200-22000000000000
χ2322222222-2-2-222-2-222-2-2-2-2-2220000-22000000000000020-200-22000000000000
χ2422222222-2-2-222-2-222-2-2-2-2-2220000-220000000000000-202002-2000000000000
χ2522222222-2-2-2-2-222-2-222-222-2-20000-2200000000000020-202-200000000000000
χ2622222222-2-2-2-2-222-2-222-222-2-20000-22000000000000-2020-2200000000000000
χ2722222222-2-2-2-2-222-2-222-2-2-22200002-200000000000020-20-2200000000000000
χ2822222222-2-2-2-2-222-2-222-2-2-22200002-2000000000000-20202-200000000000000
χ292-2-2222-2-222-22-22-22-22-2-20000002-200002-200002i2i−2i−2i00000000000000002i−2i00
χ302-2-2222-2-222-22-22-22-22-2-20000002-200002-20000−2i−2i2i2i0000000000000000−2i2i00
χ312-2-2222-2-222-22-22-22-22-2-2000000-220000-2200002i2i−2i−2i0000000000000000−2i2i00
χ322-2-2222-2-222-22-22-22-22-2-2000000-220000-220000−2i−2i2i2i00000000000000002i−2i00
χ332-2-2222-2-222-2-22-22-22-22-20000002-20000-222i2i−2i−2i00000000000000000000002i−2i
χ342-2-2222-2-222-2-22-22-22-22-20000002-20000-22−2i−2i2i2i0000000000000000000000−2i2i
χ352-2-2222-2-222-2-22-22-22-22-2000000-2200002-22i2i−2i−2i0000000000000000000000−2i2i
χ362-2-2222-2-222-2-22-22-22-22-2000000-2200002-2−2i−2i2i2i00000000000000000000002i−2i
χ372-2-2-22-2222-2-22-2-22-222-2200002-200002-20000000000000000002-2002-2000000
χ382-2-2-22-2222-2-22-2-22-222-2200002-200002-2000000000000000000-2200-22000000
χ392-2-2-22-2222-2-22-2-22-222-220000-220000-220000000000000000002-200-22000000
χ402-2-2-22-2222-2-22-2-22-222-220000-220000-22000000000000000000-22002-2000000
χ412-2-2-22-2222-2-2-222-22-2-22200002-20000-22000000000000000000002-2002-20000
χ422-2-2-22-2222-2-2-222-22-2-22200002-20000-2200000000000000000000-2200-220000
χ432-2-2-22-2222-2-2-222-22-2-2220000-2200002-2000000000000000000002-200-220000
χ442-2-2-22-2222-2-2-222-22-2-2220000-2200002-200000000000000000000-22002-20000
χ45444-44-4-4-44-4444-4-4-4-444-4000000000000000000000000000000000000000000
χ46444-44-4-4-44-44-4-44444-4-4-4000000000000000000000000000000000000000000
χ47444-44-4-4-4-44-44444-4-4-4-44000000000000000000000000000000000000000000
χ48444-44-4-4-4-44-4-4-4-4-444444000000000000000000000000000000000000000000
χ4944-44-4-44-4000000000000004i−4i00000000002-22-22i−2i2i−2i00000000000000000000
χ5044-44-4-44-4000000000000004i−4i0000000000-22-22−2i2i−2i2i00000000000000000000
χ5144-44-4-44-400000000000000−4i4i00000000002-22-2−2i2i−2i2i00000000000000000000
χ5244-44-4-44-400000000000000−4i4i0000000000-22-222i−2i2i−2i00000000000000000000
χ534-444-4-4-440000000000004i−4i0000000000002i−2i−2i2i2-2-2200000000000000000000
χ544-444-4-4-440000000000004i−4i000000000000−2i2i2i−2i-222-200000000000000000000
χ554-444-4-4-44000000000000−4i4i0000000000002i−2i−2i2i-222-200000000000000000000
χ564-444-4-4-44000000000000−4i4i000000000000−2i2i2i−2i2-2-2200000000000000000000
χ574-4-4444-4-4-4-444-4-444-4-444000000000000000000000000000000000000000000
χ584-4-4444-4-4-4-44-444-4-444-44000000000000000000000000000000000000000000
χ594-4-4-44-444-4444-44-4-44-44-4000000000000000000000000000000000000000000
χ604-4-4-44-444-444-44-444-44-4-4000000000000000000000000000000000000000000
χ6188-8-8-88-88000000000000000000000000000000000000000000000000000000
χ628-88-8-888-8000000000000000000000000000000000000000000000000000000

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