Finite Group Databasebeta

← Group #240122

Character table — Group #240122

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11112222222222222222224444444444444444444444161616161616161616161616161616161616161616161616
order12222222444444444444442444448888888888888888244444448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111-1-11-1-111-1-1-1-111111-1-11-1-1111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-1
χ10111111-1-11-1-111-1-1-1-111111-1-11-1-1111111111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-111-1-111-1-111
χ11111111-1-11-1-111-1-1-1-111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-1-1-111-1-111
χ12111111-1-11-1-111-1-1-1-111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-11111-1-111-1-1
χ13111111-1-11-1-111-1-1-1-111111-1-11-1-11-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-111-1-11111-1-1-1-111
χ14111111-1-11-1-111-1-1-1-111111-1-11-1-11-1-1-1-1-1-1-1-1111111111-11-1-1-111-1-11111-1-1-1-11111-1-1
χ15111111-1-11-1-111-1-1-1-111111-1-11-1-11-1-1-1-1-1-1-1-111111111-11-1111-1-111-1-1-1-111-1-11111-1-1
χ16111111-1-11-1-111-1-1-1-111111-1-11-1-11-1-1-1-1-1-1-1-111111111-11-11-1-11111-1-111-1-111-1-1-1-111
χ1722222222222-2-2-2-2-2-2-2-222222-2-2-2-200000000000000002-2-2200000000000000000000
χ1822222222222-2-2-2-2-2-2-2-222222-2-2-2-20000000000000000-222-200000000000000000000
χ1922222222-2-2-22222-2-222-2-2-22-2-22-2-200000000000000000000000000002i−2i2i−2i00000000
χ2022222222-2-2-22222-2-222-2-2-22-2-22-2-20000000000000000000000000000−2i2i−2i2i00000000
χ2122222222-2-2-2-2-2-2-222-2-2-2-2-22-22-2220000000000000000000000000000000000002i−2i2i−2i
χ2222222222-2-2-2-2-2-2-222-2-2-2-2-22-22-222000000000000000000000000000000000000−2i2i−2i2i
χ23222222-2-22-2-2-2-22222-2-2222-2-2-222-2000000000000000022-2-200000000000000000000
χ24222222-2-22-2-2-2-22222-2-2222-2-2-222-20000000000000000-2-22200000000000000000000
χ25222222-2-2-22222-2-22222-2-2-2-22-2-22-200000000000000000000000000002i−2i−2i2i00000000
χ26222222-2-2-22222-2-22222-2-2-2-22-2-22-20000000000000000000000000000−2i2i2i−2i00000000
χ27222222-2-2-222-2-222-2-2-2-2-2-2-2-2222-220000000000000000000000000000000000002i−2i−2i2i
χ28222222-2-2-222-2-222-2-2-2-2-2-2-2-2222-22000000000000000000000000000000000000−2i2i2i−2i
χ292222-2-2222222222-2-2-2-22-2-2-2-22-22-20000000000000000000000002i−2i2i−2i000000000000
χ302222-2-2222222222-2-2-2-22-2-2-2-22-22-2000000000000000000000000−2i2i−2i2i000000000000
χ312222-2-222222-2-2-2-222222-2-2-2-2-22-222222-2-2-2-22222-2-2-2-2000000000000000000000000
χ322222-2-222222-2-2-2-222222-2-2-2-2-22-22-2-2-2-22222-2-2-2-22222000000000000000000000000
χ332222-2-222-2-2-2222222-2-2-222-22-2-2-22000000000000000000000000000000002-22-20000
χ342222-2-222-2-2-2222222-2-2-222-22-2-2-2200000000000000000000000000000000-22-220000
χ352222-2-222-2-2-2-2-2-2-2-2-222-222-22222-2000000000000000000002-22-20000000000000000
χ362222-2-222-2-2-2-2-2-2-2-2-222-222-22222-200000000000000000000-22-220000000000000000
χ372222-2-2-2-22-2-222-2-222-2-22-2-22222-2-20000000000000000000000002i−2i−2i2i000000000000
χ382222-2-2-2-22-2-222-2-222-2-22-2-22222-2-2000000000000000000000000−2i2i2i−2i000000000000
χ392222-2-2-2-22-2-2-2-222-2-2222-2-222-2-2222222-2-2-2-2-2-2-2-22222000000000000000000000000
χ402222-2-2-2-22-2-2-2-222-2-2222-2-222-2-222-2-2-2-222222222-2-2-2-2000000000000000000000000
χ412222-2-2-2-2-22222-2-2-2-2-2-2-2222-2-2222000000000000000000000000000000002-2-220000
χ422222-2-2-2-2-22222-2-2-2-2-2-2-2222-2-222200000000000000000000000000000000-222-20000
χ432222-2-2-2-2-222-2-2222222-2222-22-2-2-2000000000000000000002-2-220000000000000000
χ442222-2-2-2-2-222-2-2222222-2222-22-2-2-200000000000000000000-222-20000000000000000
χ4544-4-44-40040000000000-44-4000000000000002222−22−222222−22−22000000000000000000000000
χ4644-4-44-40040000000000-44-400000000000000−22−222222−22−222222000000000000000000000000
χ4744-4-44-400-400000000004-440000002i22i2−2i2−2i22i22i2−2i2−2i200000000000000000000000000000000
χ4844-4-44-400-400000000004-44000000−2i2−2i22i22i2−2i2−2i22i22i200000000000000000000000000000000
χ4944-4-4-440040000000000-4-44000000000000002222−22−22−22−222222000000000000000000000000
χ5044-4-4-440040000000000-4-4400000000000000−22−2222222222−22−22000000000000000000000000
χ5144-4-4-4400-4000000000044-40000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000000000
χ5244-4-4-4400-4000000000044-4000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000000000
χ534-44-4000004i−4i00004i−4i4-400000000000002i2−2i22i2−2i2000022−2222−22000000000000000000000000
χ544-44-4000004i−4i00004i−4i4-40000000000000−2i22i2−2i22i20000−2222−2222000000000000000000000000
χ554-44-4000004i−4i0000−4i4i-4400000000022−2222−2200002i2−2i22i2−2i20000000000000000000000000000
χ564-44-4000004i−4i0000−4i4i-44000000000−2222−22220000−2i22i2−2i22i20000000000000000000000000000
χ574-44-400000−4i4i00004i−4i-4400000000022−2222−220000−2i22i2−2i22i20000000000000000000000000000
χ584-44-400000−4i4i00004i−4i-44000000000−2222−222200002i2−2i22i2−2i20000000000000000000000000000
χ594-44-400000−4i4i0000−4i4i4-400000000000002i2−2i22i2−2i20000−2222−2222000000000000000000000000
χ604-44-400000−4i4i0000−4i4i4-40000000000000−2i22i2−2i22i2000022−2222−22000000000000000000000000
χ614-4-44004-40004i−4i4i−4i00000000000002i−2i−2i2i2-2-222i−2i−2i2i-222-2000000000000000000000000
χ624-4-44004-40004i−4i4i−4i0000000000000−2i2i2i−2i-222-2−2i2i2i−2i2-2-22000000000000000000000000
χ634-4-44004-4000−4i4i−4i4i00000000000002i−2i−2i2i-222-22i−2i−2i2i2-2-22000000000000000000000000
χ644-4-44004-4000−4i4i−4i4i0000000000000−2i2i2i−2i2-2-22−2i2i2i−2i-222-2000000000000000000000000
χ654-4-4400-440004i−4i−4i4i00000000000002i−2i−2i2i2-2-22−2i2i2i−2i2-2-22000000000000000000000000
χ664-4-4400-440004i−4i−4i4i0000000000000−2i2i2i−2i-222-22i−2i−2i2i-222-2000000000000000000000000
χ674-4-4400-44000−4i4i4i−4i00000000000002i−2i−2i2i-222-2−2i2i2i−2i-222-2000000000000000000000000
χ684-4-4400-44000−4i4i4i−4i0000000000000−2i2i2i−2i2-2-222i−2i−2i2i2-2-22000000000000000000000000

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