Finite Group Databasebeta

← Group #234232

Character table — Group #234232

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11112222222222222222224444444444444444444444161616161616161616161616161616161616161616161616
order12222244444444444444442244444444444444444444222224444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-11-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-111111111-1-1-1-1
χ9111111-1-1-1-111-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111-1-111-1-111-1-1
χ10111111-1-1-1-111-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-111-1-111-1-111
χ11111111-1-1-1-111-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-111-1-111
χ12111111-1-1-1-111-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-111-1-1
χ13111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-1-1-1111-1-11111-1-1-1-111
χ14111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-1-111-111-1-1-1-11111-1-1
χ15111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-111-1-11-1-111-1-11111-1-1
χ16111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-11111-1-1-111-1-111-1-1-1-111
χ17222222222222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-22222-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-22222-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-2222222-2-2-2-2-2-22-22-20000000000000000002-2000002-20000000000000
χ2022222222-2-2-2-2222222-2-2-2-2-2-22-22-2000000000000000000-2200000-220000000000000
χ2122222222-2-2-2-2-2-2-2-2-2-222-2-222-222-200000000000000002-2000002-2000000000000000
χ2222222222-2-2-2-2-2-2-2-2-2-222-2-222-222-20000000000000000-2200000-22000000000000000
χ23222222-2-222-2-22222-2-222-2-2-2-2-22-2200000000000000002-200000-22000000000000000
χ24222222-2-222-2-22222-2-222-2-2-2-2-22-220000000000000000-22000002-2000000000000000
χ25222222-2-222-2-2-2-2-2-222-2-2-2-2222-2-220000000000000000002-200000-220000000000000
χ26222222-2-222-2-2-2-2-2-222-2-2-2-2222-2-22000000000000000000-22000002-20000000000000
χ27222222-2-2-2-2222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000
χ28222222-2-2-2-2222222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000
χ292222-2-22222-2-222-2-222-2-2222-2-22-2-20000000000000000000000000000000000002-22-2
χ302222-2-22222-2-222-2-222-2-2222-2-22-2-2000000000000000000000000000000000000-22-22
χ312222-2-22222-2-2-2-222-2-22222-222-2-2-2000000000000000000000000000000002-22-20000
χ322222-2-22222-2-2-2-222-2-22222-222-2-2-200000000000000000000000000000000-22-220000
χ332222-2-222-2-22222-2-22222-2-2-22-2-2-220000000000000000000022-20000-2000000000000
χ342222-2-222-2-22222-2-22222-2-2-22-2-2-2200000000000000000000-2-2200002000000000000
χ352222-2-222-2-222-2-222-2-2-2-2-2-22-222-2200000000000000000000000000002i−2i2i−2i00000000
χ362222-2-222-2-222-2-222-2-2-2-2-2-22-222-220000000000000000000000000000−2i2i−2i2i00000000
χ372222-2-2-2-2222222-2-2-2-2-2-2-2-2-22222-200000000000000000000000000002i−2i−2i2i00000000
χ382222-2-2-2-2222222-2-2-2-2-2-2-2-2-22222-20000000000000000000000000000−2i2i2i−2i00000000
χ392222-2-2-2-22222-2-2222222-2-22-2-2-22-2000000000000000000002-220000-2000000000000
χ402222-2-2-2-22222-2-2222222-2-22-2-2-22-200000000000000000000-22-200002000000000000
χ412222-2-2-2-2-2-2-2-222-2-2-2-222222-22-222000000000000000000000000000000002-2-220000
χ422222-2-2-2-2-2-2-2-222-2-2-2-222222-22-22200000000000000000000000000000000-222-20000
χ432222-2-2-2-2-2-2-2-2-2-22222-2-222-22-22220000000000000000000000000000000000002-2-22
χ442222-2-2-2-2-2-2-2-2-2-22222-2-222-22-2222000000000000000000000000000000000000-222-2
χ4544-4-400004i−4i00004i−4i004-40000000022-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ4644-4-400004i−4i00004i−4i004-400000000-2-222-2-222−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ4744-4-400004i−4i0000−4i4i00-440000000022-2-2-2-2222i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ4844-4-400004i−4i0000−4i4i00-4400000000-2-22222-2-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ4944-4-40000−4i4i00004i−4i00-440000000022-2-2-2-222−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ5044-4-40000−4i4i00004i−4i00-4400000000-2-22222-2-22i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ5144-4-40000−4i4i0000−4i4i004-40000000022-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ5244-4-40000−4i4i0000−4i4i004-400000000-2-222-2-2222i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ534-44-4004i−4i00004i−4i004-400000000002-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ544-44-4004i−4i00004i−4i004-40000000000-22-22-22-22−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ554-44-4004i−4i0000−4i4i00-4400000000002-22-2-22-222i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ564-44-4004i−4i0000−4i4i00-440000000000-22-222-22-2−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ574-44-400−4i4i00004i−4i00-4400000000002-22-2-22-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ584-44-400−4i4i00004i−4i00-440000000000-22-222-22-22i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ594-44-400−4i4i0000−4i4i004-400000000002-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ604-44-400−4i4i0000−4i4i004-40000000000-22-22-22-222i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ614-4-444-400004-4000000004-40000000000000000004-4-44000000000000000000000000
χ624-4-444-400004-4000000004-4000000000000000000-444-4000000000000000000000000
χ634-4-444-40000-4400000000-440000004-4-44000000000000000000000000000000000000
χ644-4-444-40000-4400000000-44000000-444-4000000000000000000000000000000000000
χ654-4-44-4400004-400000000-4400000000004-4-4400000000000000000000000000000000
χ664-4-44-4400004-400000000-440000000000-444-400000000000000000000000000000000
χ674-4-44-440000-44000000004-4000000000000004-4-440000000000000000000000000000
χ684-4-44-440000-44000000004-400000000000000-444-40000000000000000000000000000

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