Finite Group Databasebeta

← Group #470755

Character table — Group #470755

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222222222888888888888888816161616161616161616161616161616161616161616
order12442222222444444422444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1
χ51111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111
χ9111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111
χ10111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-111-1-1-1-1
χ14111111111111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1-111-1-1-1-1-1-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111
χ16111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111
χ1722222-22-2-22-22-22-2-2-220000000022-2-20000000000002i−2i0000002i−2i0000
χ1822222-22-2-22-22-22-2-2-220000000022-2-2000000000000−2i2i000000−2i2i0000
χ1922222-22-2-22-22-22-2-2-2200000000-2-2220000000000002i−2i000000−2i2i0000
χ2022222-22-2-22-22-22-2-2-2200000000-2-222000000000000−2i2i0000002i−2i0000
χ2122222-2-22-2-22-2222-2-2-200002i2i−2i−2i0000000000000000002i−2i2-200000000
χ2222222-2-22-2-22-2222-2-2-200002i2i−2i−2i000000000000000000−2i2i-2200000000
χ2322222-2-22-2-22-2222-2-2-20000−2i−2i2i2i0000000000000000002i−2i-2200000000
χ2422222-2-22-2-22-2222-2-2-20000−2i−2i2i2i000000000000000000−2i2i2-200000000
χ252222-222-2-2-222-2-222-2-200002i−2i2i−2i000000002-22i−2i000000000000000000
χ262222-222-2-2-222-2-222-2-200002i−2i2i−2i00000000-22−2i2i000000000000000000
χ272222-222-2-2-222-2-222-2-20000−2i2i−2i2i000000002-2−2i2i000000000000000000
χ282222-222-2-2-222-2-222-2-20000−2i2i−2i2i00000000-222i−2i000000000000000000
χ292222-22-22-22-2-22-2-22-22000000002-22-2000000002i−2i000000002i−2i000000
χ302222-22-22-22-2-22-2-22-22000000002-22-200000000−2i2i00000000−2i2i000000
χ312222-22-22-22-2-22-2-22-2200000000-22-22000000002i−2i00000000−2i2i000000
χ322222-22-22-22-2-22-2-22-2200000000-22-2200000000−2i2i000000002i−2i000000
χ332222-2-2-2-2222-2-2-22-2222-22-22-2-222-2-2200000000000000000000000000
χ342222-2-2-2-2222-2-2-22-2222-22-2-222-2-222-200000000000000000000000000
χ352222-2-2-2-2222-2-2-22-222-22-222-2-22-222-200000000000000000000000000
χ362222-2-2-2-2222-2-2-22-222-22-22-222-22-2-2200000000000000000000000000
χ3722-2-22-22-2-22-2-22-2222-22-2-22000000002i2i−2i−2i0000000000000000002i−2i00
χ3822-2-22-22-2-22-2-22-2222-22-2-2200000000−2i−2i2i2i000000000000000000−2i2i00
χ3922-2-22-22-2-22-2-22-2222-2-222-2000000002i2i−2i−2i000000000000000000−2i2i00
χ4022-2-22-22-2-22-2-22-2222-2-222-200000000−2i−2i2i2i0000000000000000002i−2i00
χ4122-2-2-22-22-22-22-222-22-222-2-20000000000000000002i−2i0000000000002i−2i
χ4222-2-2-22-22-22-22-222-22-222-2-2000000000000000000−2i2i000000000000−2i2i
χ4322-2-2-22-22-22-22-222-22-2-2-2220000000000000000002i−2i000000000000−2i2i
χ4422-2-2-22-22-22-22-222-22-2-2-222000000000000000000−2i2i0000000000002i−2i
χ45444444-4-44-4-4-4-44-444-400000000000000000000000000000000000000
χ464444-4-4444-4-444-4-4-44-400000000000000000000000000000000000000
χ4744-4-44444444-4-4-4-4-4-4-400000000000000000000000000000000000000
χ4844-4-444-4-44-4-444-44-4-4400000000000000000000000000000000000000
χ4944-4-44-4-44-4-444-4-4-444400000000000000000000000000000000000000
χ5044-4-4-444-4-4-44-444-4-44400000000000000000000000000000000000000
χ5144-4-4-4-4444-4-4-4-4444-4400000000000000000000000000000000000000
χ5244-4-4-4-4-4-4444444-44-4-400000000000000000000000000000000000000
χ538-88i−8i000000000000000000000000002+2i−2−2i2−2i−2+2i0000000000000000000000
χ548-88i−8i00000000000000000000000000−2−2i2+2i−2+2i2−2i0000000000000000000000
χ558-8−8i8i000000000000000000000000002−2i−2+2i2+2i−2−2i0000000000000000000000
χ568-8−8i8i00000000000000000000000000−2+2i2−2i−2−2i2+2i0000000000000000000000

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