Finite Group Databasebeta

← Group #239022

Character table — Group #239022

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11112222222222222222224444444444444444444444161616161616161616161616161616161616161616161616
order12222222444444444444442444448888888888888888222244448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111
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
χ91111-1-1-1-111-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-1
χ101111-1-1-1-111-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-111-1-111-1-111
χ111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-111-1-111
χ121111-1-1-1-111-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-11111-1-111-1-1
χ131111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1111111111-11-11-11-1-1-111-1-11111-1-1-1-111
χ141111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1111111111-1-111-1-11-1-11111-1-1-1-11111-1-1
χ151111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-111111111-111-1-111-111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-111111111-11-11-11-1111-1-111-1-111-1-1-1-111
χ17222222222-22222-2-2-2-2-2-22-22-2-22-2-200000000000000000000000000002i−2i2i−2i00000000
χ18222222222-22222-2-2-2-2-2-22-22-2-22-2-20000000000000000000000000000−2i2i−2i2i00000000
χ1922222222-22-2-2-2-22222-2-2-222-2-2-22-20000000000000000000000002i−2i2i−2i000000000000
χ2022222222-22-2-2-2-22222-2-2-222-2-2-22-2000000000000000000000000−2i2i−2i2i000000000000
χ2122222222-2-2-2-2-2-2-2-2-2-222-2-2222-2-22000000000000000000000000000000002-22-20000
χ2222222222-2-2-2-2-2-2-2-2-2-222-2-2222-2-2200000000000000000000000000000000-22-220000
χ23222222-2-22222-2-222-2-2-2-222-22-2-2-222222-2-2-2-22222-2-2-2-2000000000000000000000000
χ24222222-2-22222-2-222-2-2-2-222-22-2-2-22-2-2-2-22222-2-2-2-22222000000000000000000000000
χ25222222-2-22-222-2-2-2-222222-2-2-22-22-20000000000000000002200-2-20000000000000000
χ26222222-2-22-222-2-2-2-222222-2-2-22-22-2000000000000000000-2-200220000000000000000
χ27222222-2-2-22-2-22222-2-222-22-2-222-2-200000000000000002-200-22000000000000000000
χ28222222-2-2-22-2-22222-2-222-22-2-222-2-20000000000000000-22002-2000000000000000000
χ29222222-2-2-2-2-2-222-2-222-2-2-2-2-22-22220000000000000000000000000000000000002i−2i2i−2i
χ30222222-2-2-2-2-2-222-2-222-2-2-2-2-22-2222000000000000000000000000000000000000−2i2i−2i2i
χ312222-2-22222-2-222-2-222-2-222-2-22-2-222222-2-2-2-2-2-2-2-22222000000000000000000000000
χ322222-2-22222-2-222-2-222-2-222-2-22-2-22-2-2-2-222222222-2-2-2-2000000000000000000000000
χ332222-2-2222-2-2-22222-2-2222-2-22-2-22-20000000000000000002-200-220000000000000000
χ342222-2-2222-2-2-22222-2-2222-2-22-2-22-2000000000000000000-22002-20000000000000000
χ352222-2-222-2222-2-2-2-22222-22-22-22-2-200000000000000002200-2-2000000000000000000
χ362222-2-222-2222-2-2-2-22222-22-22-22-2-20000000000000000-2-20022000000000000000000
χ372222-2-222-2-222-2-222-2-2-2-2-2-2-2-222220000000000000000000000000000000000002i−2i−2i2i
χ382222-2-222-2-222-2-222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000−2i2i2i−2i
χ392222-2-2-2-22-2-2-2-2-22222-2-22-22222-2-200000000000000000000000000002i−2i−2i2i00000000
χ402222-2-2-2-22-2-2-2-2-22222-2-22-22222-2-20000000000000000000000000000−2i2i2i−2i00000000
χ412222-2-2-2-2-222222-2-2-2-2-2-2-22222-22-20000000000000000000000002i−2i−2i2i000000000000
χ422222-2-2-2-2-222222-2-2-2-2-2-2-22222-22-2000000000000000000000000−2i2i2i−2i000000000000
χ432222-2-2-2-2-2-22222222222-2-22-2-2-2-22000000000000000000000000000000002-2-220000
χ442222-2-2-2-2-2-22222222222-2-22-2-2-2-2200000000000000000000000000000000-222-20000
χ4544-4-4000000004i−4i4i−4i004-40000000022-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ4644-4-4000000004i−4i4i−4i004-400000000-2-222-2-222−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ4744-4-4000000004i−4i−4i4i00-440000000022-2-2-2-222−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ4844-4-4000000004i−4i−4i4i00-4400000000-2-22222-2-22i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ4944-4-400000000−4i4i4i−4i00-440000000022-2-2-2-2222i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ5044-4-400000000−4i4i4i−4i00-4400000000-2-22222-2-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ5144-4-400000000−4i4i−4i4i004-40000000022-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ5244-4-400000000−4i4i−4i4i004-400000000-2-222-2-2222i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ534-44-4004-4040000004-4000-400000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000
χ544-44-4004-4040000004-4000-40000000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000
χ554-44-4004-40-4000000-44000400000022−2222−220000000022−2222−22000000000000000000000000
χ564-44-4004-40-4000000-440004000000−2222−222200000000−2222−2222000000000000000000000000
χ574-44-400-4404000000-44000-400000000002i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000
χ584-44-400-4404000000-44000-40000000000−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000
χ594-44-400-440-40000004-4000400000022−2222−2200000000−2222−2222000000000000000000000000
χ604-44-400-440-40000004-40004000000−2222−22220000000022−2222−22000000000000000000000000
χ614-4-444-400404-400000000-4000000000002i2−2i2−2i22i200002i2−2i2−2i22i2000000000000000000000000
χ624-4-444-400404-400000000-400000000000−2i22i22i2−2i20000−2i22i22i2−2i2000000000000000000000000
χ634-4-444-400-40-44000000004000000022−22−22220000−222222−220000000000000000000000000000
χ644-4-444-400-40-440000000040000000−222222−22000022−22−22220000000000000000000000000000
χ654-4-44-440040-4400000000-4000000000002i2−2i2−2i22i20000−2i22i22i2−2i2000000000000000000000000
χ664-4-44-440040-4400000000-400000000000−2i22i22i2−2i200002i2−2i2−2i22i2000000000000000000000000
χ674-4-44-4400-404-4000000004000000022−22−2222000022−22−22220000000000000000000000000000
χ684-4-44-4400-404-40000000040000000−222222−220000−222222−220000000000000000000000000000

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