Finite Group Databasebeta

← Group #467133

Character table — Group #467133

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222222244448888888888888888881616161616161616161616161616161616161616
order12224444222222444444444422444444444444444424444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111
χ5111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1
χ911111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ1011111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-111
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ1411111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-11111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-111
χ1722222222-2-22-2-2222-2-2-2-22222000022-2-2-2-2000022-2-200000000000000000000
χ1822222222-2-22-2-2222-2-2-2-222220000-2-222-2-20000-2-22200000000000000000000
χ1922222222-2-22-2-2222-2-2-2-2-2-2-2-2000022-2-2220000-2-22200000000000000000000
χ2022222222-2-22-2-2222-2-2-2-2-2-2-2-20000-2-22222000022-2-200000000000000000000
χ212222-2-2-2-2222222-2-2-2-2-2-2000022-2-22-22-2000000000000000000002-200000000
χ222222-2-2-2-2222222-2-2-2-2-2-2000022-2-2-22-2200000000000000000000-2200000000
χ232222-2-2-2-2222222-2-2-2-2-2-20000-2-2222-22-200000000000000000000-2200000000
χ242222-2-2-2-2222222-2-2-2-2-2-20000-2-222-22-22000000000000000000002-200000000
χ252222-2-2-2-22-2-22-2-2222-22-22i2i−2i−2i000000002i−2i0000000000002-2000000002i−2i0000
χ262222-2-2-2-22-2-22-2-2222-22-22i2i−2i−2i000000002i−2i000000000000-2200000000−2i2i0000
χ272222-2-2-2-22-2-22-2-2222-22-2−2i−2i2i2i00000000−2i2i0000000000002-200000000−2i2i0000
χ282222-2-2-2-22-2-22-2-2222-22-2−2i−2i2i2i00000000−2i2i000000000000-22000000002i−2i0000
χ292222-2-2-2-2-22-2-22-222-22-222i2i−2i−2i00000000−2i2i00000000002-2000000002i−2i000000
χ302222-2-2-2-2-22-2-22-222-22-222i2i−2i−2i00000000−2i2i0000000000-2200000000−2i2i000000
χ312222-2-2-2-2-22-2-22-222-22-22−2i−2i2i2i000000002i−2i00000000002-200000000−2i2i000000
χ322222-2-2-2-2-22-2-22-222-22-22−2i−2i2i2i000000002i−2i0000000000-22000000002i−2i000000
χ332222-2-2-2-2-2-22-2-22-2-22222000000002-2-220022-2-200002-2000000000000000000
χ342222-2-2-2-2-2-22-2-22-2-22222000000002-2-2200-2-2220000-22000000000000000000
χ352222-2-2-2-2-2-22-2-22-2-2222200000000-222-20022-2-20000-22000000000000000000
χ362222-2-2-2-2-2-22-2-22-2-2222200000000-222-200-2-22200002-2000000000000000000
χ3722-2-222-2-22-2-2-2222-22-2-220000000000000000002-22-2000000002i−2i0000002i−2i00
χ3822-2-222-2-22-2-2-2222-22-2-220000000000000000002-22-200000000−2i2i000000−2i2i00
χ3922-2-222-2-22-2-2-2222-22-2-22000000000000000000-22-22000000002i−2i000000−2i2i00
χ4022-2-222-2-22-2-2-2222-22-2-22000000000000000000-22-2200000000−2i2i0000002i−2i00
χ4122-2-222-2-2-22-22-222-2-222-20000000000000000002-2-220000002i−2i00000000002i−2i
χ4222-2-222-2-2-22-22-222-2-222-20000000000000000002-2-22000000−2i2i0000000000−2i2i
χ4322-2-222-2-2-22-22-222-2-222-2000000000000000000-222-20000002i−2i0000000000−2i2i
χ4422-2-222-2-2-22-22-222-2-222-2000000000000000000-222-2000000−2i2i00000000002i−2i
χ45444444444-4-44-4-4-4-4-44-44000000000000000000000000000000000000000000
χ4644444444-44-4-44-4-4-44-44-4000000000000000000000000000000000000000000
χ4744-4-444-4-4444-4-4-4-44-4-444000000000000000000000000000000000000000000
χ4844-4-444-4-4-4-4444-4-4444-4-4000000000000000000000000000000000000000000
χ4944-4-4-4-444444-4-4-44-444-4-4000000000000000000000000000000000000000000
χ5044-4-4-4-4444-4-4-444-44-444-4000000000000000000000000000000000000000000
χ5144-4-4-4-444-44-44-44-444-4-44000000000000000000000000000000000000000000
χ5244-4-4-4-444-4-4444-44-4-4-444000000000000000000000000000000000000000000
χ534-44-44i−4i4i−4i0000000000002+2i−2−2i2−2i−2+2i2-22i−2i0000002-22i−2i000000000000000000000000
χ544-44-44i−4i4i−4i0000000000002+2i−2−2i2−2i−2+2i-22−2i2i000000-22−2i2i000000000000000000000000
χ554-44-44i−4i4i−4i000000000000−2−2i2+2i−2+2i2−2i2-22i−2i000000-22−2i2i000000000000000000000000
χ564-44-44i−4i4i−4i000000000000−2−2i2+2i−2+2i2−2i-22−2i2i0000002-22i−2i000000000000000000000000
χ574-44-4−4i4i−4i4i0000000000002−2i−2+2i2+2i−2−2i2-2−2i2i0000002-2−2i2i000000000000000000000000
χ584-44-4−4i4i−4i4i0000000000002−2i−2+2i2+2i−2−2i-222i−2i000000-222i−2i000000000000000000000000
χ594-44-4−4i4i−4i4i000000000000−2+2i2−2i−2−2i2+2i2-2−2i2i000000-222i−2i000000000000000000000000
χ604-44-4−4i4i−4i4i000000000000−2+2i2−2i−2−2i2+2i-222i−2i0000002-2−2i2i000000000000000000000000
χ618-8-888i−8i−8i8i000000000000000000000000000000000000000000000000000000
χ628-8-88−8i8i8i−8i000000000000000000000000000000000000000000000000000000

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