Finite Group Databasebeta

← Group #266243

Character table — Group #266243

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444444444444444444444444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-1111-1-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1-111-1-111-1-1
χ6111111111111111111111-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-1-111-1-111-1-111
χ7111111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111111-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1111-1-1-1-11111-1-1
χ911111111111111111-1-1-1-11111111-1-11-1-111-1-11111111111-1-11-1-11-1-1-1-1-1-1-1-11111
χ1011111111111111111-1-1-1-11111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1111-1-11-1-1111111-1-1-1-1
χ1111111111111111111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-11111111111-111-11111-1-1-1-1-1-1-1-1
χ1211111111111111111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111111111
χ1311111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-11111-1-1-1-1-1-11-1-1-11111-1-11111-1-1
χ1411111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-11111111-1-1-111-1-111-1-1-1-111
χ1511111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111111111-1-1-1-111-1111-1-1-1-1-1-111-1-111
χ1611111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-11111-1-1-1111-1-11111-1-111-1-1
χ172222222222-2-222-2-2-200002222-2-2-200-2002200220000000000-200-2000000000000
χ182222222222-2-222-2-2-200002222-2-2-200-200-2-200-2-200000000002002000000000000
χ192222222222-2-222-2-2-20000-2-2-2-222-2002002200-2-20000000000-2002000000000000
χ202222222222-2-222-2-2-20000-2-2-2-222-200200-2-200220000000000200-2000000000000
χ2122222222-2-222-2-222-2222222-2-222-2-2-2-22200-2-20000000000000000000000000000
χ2222222222-2-222-2-222-22222-2-222-2-2-2-2-22-2-200220000000000000000000000000000
χ2322222222-2-222-2-222-2-2-2-2-222-2-222-222-2-2-200220000000000000000000000000000
χ2422222222-2-222-2-222-2-2-2-2-2-2-222-2-2-22222200-2-20000000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22000022-2-2-2-2200200000000000000000002-202-20000000000
χ2622222222-2-2-2-2-2-2-2-22000022-2-2-2-220020000000000000000000-220-220000000000
χ2722222222-2-2-2-2-2-2-2-220000-2-22222200-200000000000000000002-20-220000000000
χ2822222222-2-2-2-2-2-2-2-220000-2-22222200-20000000000000000000-2202-20000000000
χ292222-2-2-2-2222-2-2-22-2222-2-2000000-22-2000000000000000002-20000000000002-200
χ302222-2-2-2-2222-2-2-22-2222-2-2000000-22-200000000000000000-22000000000000-2200
χ312222-2-2-2-2222-2-2-22-22-2-222000000-2-22000000000000000002-2000000000000-2200
χ322222-2-2-2-2222-2-2-22-22-2-222000000-2-2200000000000000000-220000000000002-200
χ332222-2-2-2-2-2-22-2222-2-222-2-20000002-2200000000000000000000000002i−2i0000002i−2i
χ342222-2-2-2-2-2-22-2222-2-222-2-20000002-220000000000000000000000000−2i2i000000−2i2i
χ352222-2-2-2-2-2-22-2222-2-2-2-22200000022-200000000000000000000000002i−2i000000−2i2i
χ362222-2-2-2-2-2-22-2222-2-2-2-22200000022-20000000000000000000000000−2i2i0000002i−2i
χ372-22-222-2-2002-200-2202i−2i2i−2i2i−2i002i−2i00002-2000000i2i2−i2−i222−2−200000000002−2i2−i20000
χ382-22-222-2-2002-200-2202i−2i2i−2i2i−2i002i−2i00002-2000000−i2−i2i2i2−2−2220000000000−22−i2i20000
χ392-22-222-2-2002-200-2202i−2i2i−2i−2i2i00−2i2i0000-22000000i2i2−i2−i2−2−22200000000002−2−i2i20000
χ402-22-222-2-2002-200-2202i−2i2i−2i−2i2i00−2i2i0000-22000000−i2−i2i2i222−2−20000000000−22i2−i20000
χ412-22-222-2-2002-200-220−2i2i−2i2i2i−2i002i−2i0000-22000000i2i2−i2−i222−2−20000000000−22−i2i20000
χ422-22-222-2-2002-200-220−2i2i−2i2i2i−2i002i−2i0000-22000000−i2−i2i2i2−2−22200000000002−2i2−i20000
χ432-22-222-2-2002-200-220−2i2i−2i2i−2i2i00−2i2i00002-2000000i2i2−i2−i2−2−2220000000000−22i2−i20000
χ442-22-222-2-2002-200-220−2i2i−2i2i−2i2i00−2i2i00002-2000000−i2−i2i2i222−2−200000000002−2−i2i20000
χ454444-4-4-4-444-44-4-4-44-4000000000040000000000000000000000000000000000000
χ464444-4-4-4-4-4-4-4444-4440000000000-40000000000000000000000000000000000000
χ4744-4-44-4-444-4004-4000000000000000000000000000002i2−2i22i2−2i2000000000000000000
χ4844-4-44-4-444-4004-400000000000000000000000000000−2i22i2−2i22i2000000000000000000
χ4944-4-44-4-44-4400-4400000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ5044-4-44-4-44-4400-440000000000000000000000000−2i22i2−2i22i20000000000000000000000
χ5144-4-4-444-44-400-44000000000000000000000004i−4i00000000000000000000000000
χ5244-4-4-444-44-400-4400000000000000000000000−4i4i00000000000000000000000000
χ5344-4-4-444-4-44004-400000000000000000004i−4i000000000000000000000000000000
χ5444-4-4-444-4-44004-40000000000000000000−4i4i000000000000000000000000000000
χ554-44-444-4-400-44004-4000004i−4i00−4i4i00000000000000000000000000000000000000
χ564-44-444-4-400-44004-400000−4i4i004i−4i00000000000000000000000000000000000000
χ574-44-4-4-444004400-4-404i−4i−4i4i00000000000000000000000000000000000000000000
χ584-44-4-4-444004400-4-40−4i4i4i−4i00000000000000000000000000000000000000000000
χ594-44-4-4-44400-4-4004400000000000000000004-40000000000000000000000000000
χ604-44-4-4-44400-4-400440000000000000000000-440000000000000000000000000000
χ614-4-444-44-40000000000000004i−4i000000000000002-2-222i−2i−2i2i000000000000000000
χ624-4-444-44-40000000000000004i−4i00000000000000-222-2−2i2i2i−2i000000000000000000
χ634-4-444-44-4000000000000000−4i4i000000000000002-2-22−2i2i2i−2i000000000000000000
χ644-4-444-44-4000000000000000−4i4i00000000000000-222-22i−2i−2i2i000000000000000000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

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