Finite Group Databasebeta

← Group #234233

Character table — Group #234233

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11112222222222222222224444444444444444444444161616161616161616161616161616161616161616161616
order12222244444444444444442244444444444444444444222444444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-1111-1-111-1-11-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-111-1-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1111-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-11111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1111-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-11-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-11111-1-1-11111-1-111-1-1-1-111
χ17222222222222-2-2-2-222-2-2-2-222-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-2222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22222000000000000000000000000
χ2022222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2-2-222222222-2-2-2-2000000000000000000000000
χ21222222-2-2222222-2-2-2-222-2-2-2-22-22-20000000000000000000002-22-2000000000000000
χ22222222-2-2222222-2-2-2-222-2-2-2-22-22-2000000000000000000000-22-22000000000000000
χ23222222-2-22222-2-222-2-2-2-222-2-2-22-2200000000000000002-202-20000000000000000000
χ24222222-2-22222-2-222-2-2-2-222-2-2-22-220000000000000000-220-220000000000000000000
χ25222222-2-2-2-2-2-222-2-2-2-2-2-22222-222-200000000000000002-20-220000000000000000000
χ26222222-2-2-2-2-2-222-2-2-2-2-2-22222-222-20000000000000000-2202-20000000000000000000
χ27222222-2-2-2-2-2-2-2-222-2-222-2-2222-2-220000000000000000000002-2-22000000000000000
χ28222222-2-2-2-2-2-2-2-222-2-222-2-2222-2-22000000000000000000000-222-2000000000000000
χ292222-2-22222-2-222-2-2-2-222222-2-2-2-220000000000000000002000000-22-2000000000000
χ302222-2-22222-2-222-2-2-2-222222-2-2-2-22000000000000000000-20000002-22000000000000
χ312222-2-22222-2-2-2-222-2-2-2-2-2-22-2222-200000000000000000000000000002i−2i2i−2i00000000
χ322222-2-22222-2-2-2-222-2-2-2-2-2-22-2222-20000000000000000000000000000−2i2i−2i2i00000000
χ332222-2-222-2-22222-2-2-2-2-2-2-2-2-2222-2200000000000000000000000000002i−2i−2i2i00000000
χ342222-2-222-2-22222-2-2-2-2-2-2-2-2-2222-220000000000000000000000000000−2i2i2i−2i00000000
χ352222-2-222-2-222-2-222-2-22222-22-2-22-20000000000000000002000000-2-22000000000000
χ362222-2-222-2-222-2-222-2-22222-22-2-22-2000000000000000000-200000022-2000000000000
χ372222-2-2-2-222-2-222222222-2-2-22-22-2-20000000000000000000000000000000000002-22-2
χ382222-2-2-2-222-2-222222222-2-2-22-22-2-2000000000000000000000000000000000000-22-22
χ392222-2-2-2-222-2-2-2-2-2-222-2-222-222-222000000000000000000000000000000002-22-20000
χ402222-2-2-2-222-2-2-2-2-2-222-2-222-222-22200000000000000000000000000000000-22-220000
χ412222-2-2-2-2-2-222222222-2-2222-22-2-2-2000000000000000000000000000000002-2-220000
χ422222-2-2-2-2-2-222222222-2-2222-22-2-2-200000000000000000000000000000000-222-20000
χ432222-2-2-2-2-2-222-2-2-2-22222-2-22-2-22220000000000000000000000000000000000002-2-22
χ442222-2-2-2-2-2-222-2-2-2-22222-2-22-2-2222000000000000000000000000000000000000-222-2
χ4544-4-40000004i−4i004i−4i00004-400000022-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ4644-4-40000004i−4i004i−4i00004-4000000-2-222-2-222−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ4744-4-40000004i−4i00−4i4i0000-4400000022-2-2-2-2222i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ4844-4-40000004i−4i00−4i4i0000-44000000-2-22222-2-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ4944-4-4000000−4i4i004i−4i0000-4400000022-2-2-2-222−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ5044-4-4000000−4i4i004i−4i0000-44000000-2-22222-2-22i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ5144-4-4000000−4i4i00−4i4i00004-400000022-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ5244-4-4000000−4i4i00−4i4i00004-4000000-2-222-2-2222i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ534-44-400004i−4i004i−4i00004-4000000002i−2i2i−2i2i−2i2i−2i2-22-22-22-2000000000000000000000000
χ544-44-400004i−4i004i−4i00004-400000000−2i2i−2i2i−2i2i−2i2i-22-22-22-22000000000000000000000000
χ554-44-400004i−4i00−4i4i0000-44000000002i−2i2i−2i−2i2i−2i2i2-22-2-22-22000000000000000000000000
χ564-44-400004i−4i00−4i4i0000-4400000000−2i2i−2i2i2i−2i2i−2i-22-222-22-2000000000000000000000000
χ574-44-40000−4i4i004i−4i0000-44000000002i−2i2i−2i−2i2i−2i2i-22-222-22-2000000000000000000000000
χ584-44-40000−4i4i004i−4i0000-4400000000−2i2i−2i2i2i−2i2i−2i2-22-2-22-22000000000000000000000000
χ594-44-40000−4i4i00−4i4i00004-4000000002i−2i2i−2i2i−2i2i−2i-22-22-22-22000000000000000000000000
χ604-44-40000−4i4i00−4i4i00004-400000000−2i2i−2i2i−2i2i−2i2i2-22-22-22-2000000000000000000000000
χ614-4-444-44-4000000004-400000000000000000000004i−4i−4i4i000000000000000000000000
χ624-4-444-44-4000000004-40000000000000000000000−4i4i4i−4i000000000000000000000000
χ634-4-444-4-4400000000-44000000000000004i−4i−4i4i00000000000000000000000000000000
χ644-4-444-4-4400000000-4400000000000000−4i4i4i−4i00000000000000000000000000000000
χ654-4-44-444-400000000-4400000000004i−4i−4i4i000000000000000000000000000000000000
χ664-4-44-444-400000000-440000000000−4i4i4i−4i000000000000000000000000000000000000
χ674-4-44-44-44000000004-40000000000000000004i−4i−4i4i0000000000000000000000000000
χ684-4-44-44-44000000004-4000000000000000000−4i4i4i−4i0000000000000000000000000000

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