Finite Group Databasebeta

← Group #244181

Character table — Group #244181

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12224444224444448888888844448888444444448888888888888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1
χ101111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-111
χ111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-111
χ121111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111111-1-1-1-111
χ17222222222222-2-2-2-22222-2-2-2-222-2-222-2-2000000000000000000000000
χ18222222222222-2-2-2-22222-2-2-2-2-2-222-2-222000000000000000000000000
χ19222222222222-2-2-2-2-2-2-2-2222222-2-2-2-222000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-22222-2-22222-2-2000000000000000000000000
χ2122222222-2-2-2-222-2-222-2-222-2-200000000000000000000000000002-22-2
χ2222222222-2-2-2-222-2-222-2-222-2-20000000000000000000000000000-22-22
χ2322222222-2-2-2-222-2-2-2-222-2-22200000000000000000000000000002-2-22
χ2422222222-2-2-2-222-2-2-2-222-2-2220000000000000000000000000000-222-2
χ2522222222-2-2-2-2-2-22222-2-2-2-2220000000000000000000000002-22-20000
χ2622222222-2-2-2-2-2-22222-2-2-2-222000000000000000000000000-22-220000
χ2722222222-2-2-2-2-2-222-2-22222-2-20000000000000000000000002-2-220000
χ2822222222-2-2-2-2-2-222-2-22222-2-2000000000000000000000000-222-20000
χ292222-2-2-2-222-2-22-22-22i−2i2i−2i2i−2i2i−2i00000000002-20000002i−2i000000000000
χ302222-2-2-2-222-2-22-22-22i−2i2i−2i2i−2i2i−2i0000000000-22000000−2i2i000000000000
χ312222-2-2-2-222-2-22-22-2−2i2i−2i2i−2i2i−2i2i00000000002-2000000−2i2i000000000000
χ322222-2-2-2-222-2-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000-220000002i−2i000000000000
χ332222-2-2-2-222-2-2-22-222i−2i2i−2i−2i2i−2i2i000000002-20000002i−2i00000000000000
χ342222-2-2-2-222-2-2-22-222i−2i2i−2i−2i2i−2i2i00000000-22000000−2i2i00000000000000
χ352222-2-2-2-222-2-2-22-22−2i2i−2i2i2i−2i2i−2i000000002-2000000−2i2i00000000000000
χ362222-2-2-2-222-2-2-22-22−2i2i−2i2i2i−2i2i−2i00000000-220000002i−2i00000000000000
χ372222-2-2-2-2-2-2222-2-222i−2i−2i2i2i−2i−2i2i0000000000002-20000002i−2i0000000000
χ382222-2-2-2-2-2-2222-2-222i−2i−2i2i2i−2i−2i2i000000000000-22000000−2i2i0000000000
χ392222-2-2-2-2-2-2222-2-22−2i2i2i−2i−2i2i2i−2i0000000000002-2000000−2i2i0000000000
χ402222-2-2-2-2-2-2222-2-22−2i2i2i−2i−2i2i2i−2i000000000000-220000002i−2i0000000000
χ412222-2-2-2-2-2-222-222-22i−2i−2i2i−2i2i2i−2i000000000000002-20000002i−2i00000000
χ422222-2-2-2-2-2-222-222-22i−2i−2i2i−2i2i2i−2i00000000000000-22000000−2i2i00000000
χ432222-2-2-2-2-2-222-222-2−2i2i2i−2i2i−2i−2i2i000000000000002-2000000−2i2i00000000
χ442222-2-2-2-2-2-222-222-2−2i2i2i−2i2i−2i−2i2i00000000000000-220000002i−2i00000000
χ4544-4-444-4-44-44-400000000000000004-400000000000000000000000000
χ4644-4-444-4-44-44-40000000000000000-4400000000000000000000000000
χ4744-4-444-4-4-44-440000000000000000004-4000000000000000000000000
χ4844-4-444-4-4-44-44000000000000000000-44000000000000000000000000
χ4944-4-4-4-4444-4-440000000000004-4000000000000000000000000000000
χ5044-4-4-4-4444-4-44000000000000-44000000000000000000000000000000
χ5144-4-4-4-444-444-4000000000000004-40000000000000000000000000000
χ5244-4-4-4-444-444-400000000000000-440000000000000000000000000000
χ538-88-88i−8i8i−8i000000000000000000000000000000000000000000000000
χ548-88-8−8i8i−8i8i000000000000000000000000000000000000000000000000
χ558-8-888i−8i−8i8i000000000000000000000000000000000000000000000000
χ568-8-88−8i8i8i−8i000000000000000000000000000000000000000000000000

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