Finite Group Databasebeta

← Group #314113

Character table — Group #314113

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488882244444444448888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ311111111111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-111-1-111-1-1
χ51111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-111
χ9111111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-1-1-1111-1-1-111-1-1-1-11-1
χ10111111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-111111-1
χ11111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-111-11
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11-1111111-1-1-11
χ13111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-111-11
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-11-1-11111-1-1-11
χ15111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-111111-1-1-1-11-1
χ16111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-11-1-1-1-111111-1
χ17222222222-22-22-22-2-2-22222222200000000000000-2-200000000-2-20000000000
χ18222222222-22-22-22-2-2-22222-2-2-2-200000000000000-2-200000000220000000000
χ19222222222-22-22-22-2-2-2-2-2-2-222-2-2000000000000002200000000-220000000000
χ20222222222-22-22-22-2-2-2-2-2-2-2-2-2220000000000000022000000002-20000000000
χ2122222222-22-22-22-22-2-2000000002222-2-2-2-2-2-200000022000000000000000000
χ2222222222-22-22-22-22-2-20000000022-2-222-2-222000000-2-2000000000000000000
χ2322222222-22-22-22-22-2-200000000-2-222-2-22222000000-2-2000000000000000000
χ2422222222-22-22-22-22-2-200000000-2-2-2-22222-2-200000022000000000000000000
χ252222-2-2-2-22020-20-200022-2-22-22-2000000002−20000002−222−2−20000002−2002−200
χ262222-2-2-2-22020-20-200022-2-22-22-200000000−22000000−22−2−222000000−2200−2200
χ272222-2-2-2-22020-20-200022-2-2-22-22000000002−20000002−222−2−2000000−2200−2200
χ282222-2-2-2-22020-20-200022-2-2-22-2200000000−22000000−22−2−2220000002−2002−200
χ292222-2-2-2-22020-20-2000-2-2222-2-22000000002−20000002−2−2−2220000002−200−2200
χ302222-2-2-2-22020-20-2000-2-2222-2-2200000000−22000000−2222−2−2000000−22002−200
χ312222-2-2-2-22020-20-2000-2-222-222-2000000002−20000002−2−2−222000000−22002−200
χ322222-2-2-2-22020-20-2000-2-222-222-200000000−22000000−2222−2−20000002−200−2200
χ332-22-2-222-222-2-222-2-2-222i−2i2i−2i0000002-22-2000000002i−2i000000000000002i−2i0000
χ342-22-2-222-222-2-222-2-2-222i−2i2i−2i000000-22-22000000002i−2i00000000000000−2i2i0000
χ352-22-2-222-222-2-222-2-2-22−2i2i−2i2i0000002-22-200000000−2i2i00000000000000−2i2i0000
χ362-22-2-222-222-2-222-2-2-22−2i2i−2i2i000000-22-2200000000−2i2i000000000000002i−2i0000
χ372-22-2-222-22-2-222-2-222-22i−2i2i−2i000000000000000000−2i2i0000002-2002i−2i00000000
χ382-22-2-222-22-2-222-2-222-22i−2i2i−2i000000000000000000−2i2i000000-2200−2i2i00000000
χ392-22-2-222-22-2-222-2-222-2−2i2i−2i2i0000000000000000002i−2i0000002-200−2i2i00000000
χ402-22-2-222-22-2-222-2-222-2−2i2i−2i2i0000000000000000002i−2i000000-22002i−2i00000000
χ412-22-2-222-2-222-2-222-22-200000000002-2-2200002i2i−2i−2i00002i−2i2i−2i00000000000000
χ422-22-2-222-2-222-2-222-22-200000000002-2-220000−2i−2i2i2i0000−2i2i−2i2i00000000000000
χ432-22-2-222-2-222-2-222-22-20000000000-222-200002i2i−2i−2i0000−2i2i−2i2i00000000000000
χ442-22-2-222-2-222-2-222-22-20000000000-222-20000−2i−2i2i2i00002i−2i2i−2i00000000000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ464444-4-4-4-4-40-40404000000000000000000022−22000000−2222000000000000000000
χ474444-4-4-4-4-40-404040000000000000000000−222200000022−22000000000000000000
χ4844-4-44-44-404040-40-400000000004-40000000000000000000000000000000000
χ4944-4-44-44-404040-40-40000000000-440000000000000000000000000000000000
χ5044-4-44-44-40-40-40404000000000000000000002i2−2i22i2−2i20000000000000000000000
χ5144-4-44-44-40-40-4040400000000000000000000−2i22i2−2i22i20000000000000000000000
χ524-44-44-4-4440-40-4040004i−4i−4i4i0000000000000000000000000000000000000000
χ534-44-44-4-4440-40-404000−4i4i4i−4i0000000000000000000000000000000000000000
χ544-44-44-4-44-404040-4000000000000000000000000000002i2−2i2−2i22i200000000000000
χ554-44-44-4-44-404040-400000000000000000000000000000−2i22i22i2−2i200000000000000
χ564-44-4-444-4-4-444-4-444-4400000000000000000000000000000000000000000000
χ574-4-44-4-444040-40-40400000000000000004-40000000000000000000000000000
χ584-4-44-4-444040-40-4040000000000000000-440000000000000000000000000000
χ594-4-44-4-4440-404040-40000000000000000000022−22−22220000000000000000000000
χ604-4-44-4-4440-404040-400000000000000000000−222222−220000000000000000000000
χ6188-8-8-88-88000000000000000000000000000000000000000000000000000000
χ628-8-8888-8-8000000000000000000000000000000000000000000000000000000

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