Finite Group Databasebeta

← Group #475760

Character table — Group #475760

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222222222444444444444444444444444161616161616161616161616161616161616161616161616
order12224444222222444444444444448888888888888888222244448888888888888888
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
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-1111111-1-1-1-1
χ911111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1111-1-1-1-1-1-1-11111-1-111-1-1
χ1011111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1111-11-1-1-1-111-1-1-1-111-1-111
χ1111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-11-11111-1-111-1-111-1-111
χ1211111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111-1-111-1-111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1111-111-1-111-1-1-1-111-1-1-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11-1-1-1-1-1111111-1-11111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-111111-1-1-1-1-1-1-1-11111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-11-1-111-1-1111111-1-1-1-111
χ172222222222-2-2-2-22-22-2-2-200000000000000002222-2-2-2-20000000000002i−2i2i−2i00000000
χ182222222222-2-2-2-22-22-2-2-200000000000000002222-2-2-2-2000000000000−2i2i−2i2i00000000
χ192222222222-2-2-2-22-22-2-2-20000000000000000-2-2-2-222220000000000002i−2i−2i2i00000000
χ202222222222-2-2-2-22-22-2-2-20000000000000000-2-2-2-22222000000000000−2i2i2i−2i00000000
χ2122222222-2-222-2-2-22-22-2-2000000002222-2-2-2-200000000000000002i−2i2i−2i000000000000
χ2222222222-2-222-2-2-22-22-2-2000000002222-2-2-2-20000000000000000−2i2i−2i2i000000000000
χ2322222222-2-222-2-2-22-22-2-200000000-2-2-2-2222200000000000000002i−2i−2i2i000000000000
χ2422222222-2-222-2-2-22-22-2-200000000-2-2-2-222220000000000000000−2i2i2i−2i000000000000
χ252222-2-2-2-222-2-2-2-2-22-22220000000022-2-222-2-2000000002200-2-2000000000000000000
χ262222-2-2-2-222-2-2-2-2-22-22220000000022-2-222-2-200000000-2-20022000000000000000000
χ272222-2-2-2-222-2-2-2-2-22-222200000000-2-222-2-222000000002-200-22000000000000000000
χ282222-2-2-2-222-2-2-2-2-22-222200000000-2-222-2-22200000000-22002-2000000000000000000
χ292222-2-2-2-2-2-222-2-22-22-222000000000000000022-2-222-2-2002200-2-20000000000000000
χ302222-2-2-2-2-2-222-2-22-22-222000000000000000022-2-222-2-200-2-200220000000000000000
χ312222-2-2-2-2-2-222-2-22-22-2220000000000000000-2-222-2-222002-200-220000000000000000
χ322222-2-2-2-2-2-222-2-22-22-2220000000000000000-2-222-2-22200-22002-20000000000000000
χ332222-2-2-2-2-2-2-2-2222222-2-22222-2-2-2-222-2-2-2-22222-2-2-2-222000000000000000000000000
χ342222-2-2-2-2-2-2-2-2222222-2-22222-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000
χ352222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2222222-2-2-2-222-2-22222-2-2000000000000000000000000
χ362222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-22222-2-22222-2-222-2-2-2-222000000000000000000000000
χ372-2-2222-2-22-22-2-22-2-2222-222-2-222-2-20000000000000000000000000000000000002-22-2
χ382-2-2222-2-22-22-2-22-2-2222-222-2-222-2-2000000000000000000000000000000000000-22-22
χ392-2-2222-2-22-22-2-22-2-2222-2-2-222-2-2220000000000000000000000000000000000002-2-22
χ402-2-2222-2-22-22-2-22-2-2222-2-2-222-2-222000000000000000000000000000000000000-222-2
χ412-2-22-2-222-22-22-22-2-222-2222-2-2-2-222000000000000000000000000000000002-22-20000
χ422-2-22-2-222-22-22-22-2-222-2222-2-2-2-22200000000000000000000000000000000-22-220000
χ432-2-22-2-222-22-22-22-2-222-22-2-22222-2-2000000000000000000000000000000002-2-220000
χ442-2-22-2-222-22-22-22-2-222-22-2-22222-2-200000000000000000000000000000000-222-20000
χ4544444444-4-4-4-444-4-4-4-444000000000000000000000000000000000000000000000000
χ464444-4-4-4-4444444-4-4-4-4-4-4000000000000000000000000000000000000000000000000
χ4744-4-44i−4i4i−4i0000000000002-22-22i−2i2i−2i000022−222i2−2i2000022−222i2−2i2000000000000000000000000
χ4844-4-44i−4i4i−4i0000000000002-22-22i−2i2i−2i0000−2222−2i22i20000−2222−2i22i2000000000000000000000000
χ4944-4-44i−4i4i−4i000000000000-22-22−2i2i−2i2i000022−222i2−2i20000−2222−2i22i2000000000000000000000000
χ5044-4-44i−4i4i−4i000000000000-22-22−2i2i−2i2i0000−2222−2i22i2000022−222i2−2i2000000000000000000000000
χ5144-4-4−4i4i−4i4i0000000000002-22-2−2i2i−2i2i000022−22−2i22i2000022−22−2i22i2000000000000000000000000
χ5244-4-4−4i4i−4i4i0000000000002-22-2−2i2i−2i2i0000−22222i2−2i20000−22222i2−2i2000000000000000000000000
χ5344-4-4−4i4i−4i4i000000000000-22-222i−2i2i−2i000022−22−2i22i20000−22222i2−2i2000000000000000000000000
χ5444-4-4−4i4i−4i4i000000000000-22-222i−2i2i−2i0000−22222i2−2i2000022−22−2i22i2000000000000000000000000
χ554-44-44i−4i−4i4i0000000000002-2-222i−2i−2i2i22−222i2−2i2000022−222i2−2i20000000000000000000000000000
χ564-44-44i−4i−4i4i0000000000002-2-222i−2i−2i2i−2222−2i22i20000−2222−2i22i20000000000000000000000000000
χ574-44-44i−4i−4i4i000000000000-222-2−2i2i2i−2i22−222i2−2i20000−2222−2i22i20000000000000000000000000000
χ584-44-44i−4i−4i4i000000000000-222-2−2i2i2i−2i−2222−2i22i2000022−222i2−2i20000000000000000000000000000
χ594-44-4−4i4i4i−4i0000000000002-2-22−2i2i2i−2i22−22−2i22i2000022−22−2i22i20000000000000000000000000000
χ604-44-4−4i4i4i−4i0000000000002-2-22−2i2i2i−2i−22222i2−2i20000−22222i2−2i20000000000000000000000000000
χ614-44-4−4i4i4i−4i000000000000-222-22i−2i−2i2i22−22−2i22i20000−22222i2−2i20000000000000000000000000000
χ624-44-4−4i4i4i−4i000000000000-222-22i−2i−2i2i−22222i2−2i2000022−22−2i22i20000000000000000000000000000
χ634-4-4444-4-44-4-444-4-444-4-44000000000000000000000000000000000000000000000000
χ644-4-4444-4-4-444-44-44-4-44-44000000000000000000000000000000000000000000000000
χ654-4-4444-4-4-44-44-4444-4-44-4000000000000000000000000000000000000000000000000
χ664-4-44-4-4444-44-4-4444-4-4-44000000000000000000000000000000000000000000000000
χ674-4-44-4-4444-4-444-44-4-444-4000000000000000000000000000000000000000000000000
χ684-4-44-4-444-444-44-4-444-44-4000000000000000000000000000000000000000000000000

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