Finite Group Databasebeta

← Group #312728

Character table — Group #312728

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888884444444488888824
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111111111111111-11-11-1-1-1-1-1-111-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1111-1-11111-1-1-1-1-11
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-111-1-111111-1
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1111-1-1-1-1-1-1111-1
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-11111-1-1-11
χ91111111111111111-1-1-1-111111111-1-11111-1-1-1-1111111111-11-1-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-111111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11-111-1-11111-1-11-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-111111-1-1-1-1-1-111-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11-1-1-1-1-111-1-11111-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-11-1-11111-1-1-1-11-1
χ17222222222-22-22-22-22222-2-2000000-2-20022000000-2-200000-202000000000000
χ18222222222-22-22-22-22222-2-2000000-2-200-2-2000000220000020-2000000000000
χ19222222222-22-22-22-2-2-2-2-2-2-2000000220022000000-2-20000020-2000000000000
χ20222222222-22-22-22-2-2-2-2-2-2-20000002200-2-20000002200000-202000000000000
χ2122222222-22-22-22-220000-2-22222220022000000-2-2000000-20-20000000000000
χ2222222222-22-22-22-220000-2-22222-2-200-2-2000000-2-20000002020000000000000
χ2322222222-22-22-22-220000-2-2-2-2-2-22200-2-20000002200000020-20000000000000
χ2422222222-22-22-22-220000-2-2-2-2-2-2-2-2002200000022000000-2020000000000000
χ25222-2-2-22-20-20-202020000002i2i−2i−2i2-2002i−2i2−20000002−2i2i2−i2−i2000000002−200i2−i200
χ26222-2-2-22-20-20-202020000002i2i−2i−2i2-2002i−2i−22000000−22−i2−i2i2i200000000−2200−i2i200
χ27222-2-2-22-20-20-202020000002i2i−2i−2i-2200−2i2i2−20000002−2i2i2−i2−i200000000−2200−i2i200
χ28222-2-2-22-20-20-202020000002i2i−2i−2i-2200−2i2i−22000000−22−i2−i2i2i2000000002−200i2−i200
χ29222-2-2-22-20-20-20202000000−2i−2i2i2i2-200−2i2i2−20000002−2−i2−i2i2i2000000002−200−i2i200
χ30222-2-2-22-20-20-20202000000−2i−2i2i2i2-200−2i2i−22000000−22i2i2−i2−i200000000−2200i2−i200
χ31222-2-2-22-20-20-20202000000−2i−2i2i2i-22002i−2i2−20000002−2−i2−i2i2i200000000−2200i2−i200
χ32222-2-2-22-20-20-20202000000−2i−2i2i2i-22002i−2i−22000000−22i2i2−i2−i2000000002−200−i2i200
χ332-2-2-2222-222-2-222-2-22i2i−2i−2i-222i−2i2i−2i002i−2i000022-2-22i−2i0000000000000000000000
χ342-2-2-2222-222-2-222-2-22i2i−2i−2i-22−2i2i−2i2i002i−2i0000-2-222−2i2i0000000000000000000000
χ352-2-2-2222-222-2-222-2-2−2i−2i2i2i-222i−2i2i−2i00−2i2i0000-2-2222i−2i0000000000000000000000
χ362-2-2-2222-222-2-222-2-2−2i−2i2i2i-22−2i2i−2i2i00−2i2i000022-2-2−2i2i0000000000000000000000
χ372-2-2-2222-22-2-222-2-222i2i−2i−2i2-2000000−2i2i0000000000002i−2i2i−2i00000000002-20000
χ382-2-2-2222-22-2-222-2-222i2i−2i−2i2-2000000−2i2i000000000000−2i2i−2i2i0000000000-220000
χ392-2-2-2222-22-2-222-2-22−2i−2i2i2i2-20000002i−2i0000000000002i−2i2i−2i0000000000-220000
χ402-2-2-2222-22-2-222-2-22−2i−2i2i2i2-20000002i−2i000000000000−2i2i−2i2i00000000002-20000
χ412-2-2-2222-2-222-2-222-200002-22i−2i2i−2i000000000000−2i2i00000000002-22i−2i00000000
χ422-2-2-2222-2-222-2-222-200002-22i−2i2i−2i000000000000−2i2i0000000000-22−2i2i00000000
χ432-2-2-2222-2-222-2-222-200002-2−2i2i−2i2i0000000000002i−2i00000000002-2−2i2i00000000
χ442-2-2-2222-2-222-2-222-200002-2−2i2i−2i2i0000000000002i−2i0000000000-222i−2i00000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ46444-4-4-44-404040-40-4000000000000000022−22000000−222200000000000000000000
χ47444-4-4-44-404040-40-40000000000000000−222200000022−2200000000000000000000
χ4844-444-4-4-440-40-40404-44-4000000000000000000000000000000000000000000
χ4944-444-4-4-440-40-4040-44-44000000000000000000000000000000000000000000
χ5044-444-4-4-4-404040-4000000000000000000022−2222−22000000000000000000000000
χ5144-444-4-4-4-404040-40000000000000000000−2222−2222000000000000000000000000
χ524-44-44-4-444040-40-404i−4i−4i4i000000000000000000000000000000000000000000
χ534-44-44-4-444040-40-40−4i4i4i−4i000000000000000000000000000000000000000000
χ544-44-44-4-44-40-40404000000000000000000022−22−2222000000000000000000000000
χ554-44-44-4-44-40-404040000000000000000000−222222−22000000000000000000000000
χ564-4-44-4-444040-40-4040000000000000000000000000022−22−22220000000000000000
χ574-4-44-4-444040-40-40400000000000000000000000000−222222−220000000000000000
χ584-4-44-4-4440-404040-40000004-4-44000000000000000000000000000000000000
χ594-4-44-4-4440-404040-4000000-444-4000000000000000000000000000000000000
χ604-4-4-4444-4-4-444-4-4440000-440000000000000000000000000000000000000000
χ6188-8-8-88-88000000000000000000000000000000000000000000000000000000
χ628-888-88-8-8000000000000000000000000000000000000000000000000000000

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