Finite Group Databasebeta

← Group #266437

Character table — Group #266437

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222444444444444444444444444488888888888888882244444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ311111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-11-1-11-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-11-1-11111
χ7111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-111-111-1-1-1-1
χ911111111111111111-1-1-1-1-1-111111-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111111-1-1
χ1011111111111111111-1-1-1-1-1-111111-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1111-1-111
χ1111111111111111111-1-1-1-1-1-111111-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-111
χ1211111111111111111-1-1-1-1-1-111111-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1111-1-1-111-1-1
χ1311111111111111111-1-1-1-1-1-11-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1111-1-1-1-111
χ1411111111111111111-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1111-1-111-1-1
χ1511111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111111-1-1-11111-1-1
χ1611111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1111-1-1-111-1-111
χ172222222222-2-222-2-2-222-2-222-20000-222220000000000000000000000-200-2000000
χ182222222222-2-222-2-2-222-2-222-20000-2-2-2-2-200000000000000000000002002000000
χ192222222222-2-222-2-2-2-2-222-2-2-20000222-2-20000000000000000000000200-2000000
χ202222222222-2-222-2-2-2-2-222-2-2-200002-2-2220000000000000000000000-2002000000
χ2122222222-2-222-2-222-222-2-2-2-2-222-2-220000000000000000000000002-20000000000
χ2222222222-2-222-2-222-222-2-2-2-2-2-2-2222000000000000000000000000-220000000000
χ2322222222-2-222-2-222-2-2-22222-222-2-2-2000000000000000000000000-220000000000
χ2422222222-2-222-2-222-2-2-22222-2-2-222-20000000000000000000000002-20000000000
χ2522222222-2-2-2-2-2-2-2-222222-2-220000-20000000000000000000000000002-202-20000
χ2622222222-2-2-2-2-2-2-2-222222-2-220000-2000000000000000000000000000-220-220000
χ2722222222-2-2-2-2-2-2-2-22-2-2-2-2222000020000000000000000000000000002-20-220000
χ2822222222-2-2-2-2-2-2-2-22-2-2-2-222200002000000000000000000000000000-2202-20000
χ292222-2-2-2-2222-2-2-22-22000000-22-22-20000022-2-20000000000002-200000000000000
χ302222-2-2-2-2222-2-2-22-22000000-22-22-200000-2-222000000000000-2200000000000000
χ312222-2-2-2-2222-2-2-22-22000000-2-22-220000022-2-2000000000000-2200000000000000
χ322222-2-2-2-2222-2-2-22-22000000-2-22-2200000-2-2220000000000002-200000000000000
χ332222-2-2-2-2-2-22-2222-2-200000022-2-220000000002i2i−2i−2i00000000002i−2i000000000000
χ342222-2-2-2-2-2-22-2222-2-200000022-2-22000000000−2i−2i2i2i0000000000−2i2i000000000000
χ352222-2-2-2-2-2-22-2222-2-20000002-222-20000000002i2i−2i−2i0000000000−2i2i000000000000
χ362222-2-2-2-2-2-22-2222-2-20000002-222-2000000000−2i−2i2i2i00000000002i−2i000000000000
χ3722-2-2-222-22-2002-20002i−2i002i−2i0000002-22i−2ii2−i2i2−i22−22−2i2i2−i2−i222−2−20000000000000000
χ3822-2-2-222-22-2002-20002i−2i002i−2i0000002-22i−2i−i2i2−i2i2−22−22−i2−i2i2i2−2−2220000000000000000
χ3922-2-2-222-22-2002-20002i−2i002i−2i000000-22−2i2ii2−i2i2−i22−22−2−i2−i2i2i2−2−2220000000000000000
χ4022-2-2-222-22-2002-20002i−2i002i−2i000000-22−2i2i−i2i2−i2i2−22−22i2i2−i2−i222−2−20000000000000000
χ4122-2-2-222-22-2002-2000−2i2i00−2i2i0000002-2−2i2ii2−i2i2−i2−22−22i2i2−i2−i2−2−2220000000000000000
χ4222-2-2-222-22-2002-2000−2i2i00−2i2i0000002-2−2i2i−i2i2−i2i22−22−2−i2−i2i2i222−2−20000000000000000
χ4322-2-2-222-22-2002-2000−2i2i00−2i2i000000-222i−2ii2−i2i2−i2−22−22−i2−i2i2i222−2−20000000000000000
χ4422-2-2-222-22-2002-2000−2i2i00−2i2i000000-222i−2i−i2i2−i2i22−22−2i2i2−i2−i2−2−2220000000000000000
χ454444-4-4-4-444-44-4-4-44-4000000400000000000000000000000000000000000000000
χ464444-4-4-4-4-4-4-4444-444000000-400000000000000000000000000000000000000000
χ4744-4-44-4-444-400-4400000000000000000002i2−2i2−2i22i20000000000000000000000000000
χ4844-4-44-4-444-400-440000000000000000000−2i22i22i2−2i20000000000000000000000000000
χ4944-4-44-4-44-44004-4000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ5044-4-44-4-44-44004-400000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ5144-4-4-444-4-4400-440004i−4i00−4i4i000000000000000000000000000000000000000000
χ5244-4-4-444-4-4400-44000−4i4i004i−4i000000000000000000000000000000000000000000
χ534-44-444-4-4000000000004-4000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ544-44-444-4-4000000000004-400000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ554-44-444-4-400000000000-44000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ564-44-444-4-400000000000-4400000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ574-4-444-44-4004-400-44000000000000000000000000000000000000000000000002i2−2i2
χ584-4-444-44-4004-400-4400000000000000000000000000000000000000000000000−2i22i2
χ594-4-444-44-400-44004-40000000000000000000000000000000000000000000002i2−2i200
χ604-4-444-44-400-44004-4000000000000000000000000000000000000000000000−2i22i200
χ614-4-44-44-44004400-4-4000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ624-4-44-44-44004400-4-400000000000000000000000000000−2i22i22i2−2i20000000000000000
χ634-4-44-44-4400-4-40044000000000000000000000000022−22−222200000000000000000000
χ644-4-44-44-4400-4-400440000000000000000000000000−222222−2200000000000000000000
χ658-88-8-8-888000000000000000000000000000000000000000000000000000000000

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