Finite Group Databasebeta

← Group #312945

Character table — Group #312945

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888224444888888888888882224444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111-1-1-1-1-1-111-11-1111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111111111111111-1-11-11-1-1-1-1-111-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-11-1111111-1-1-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-11111-11
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-11111-1-11-1
χ911111111111111111-1-1-1-11111111-1-11111-1-1-1-111111111-1-1-11-11-1-111-1-111-1-1
χ1011111111111111111-1-1-1-11111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-11-111111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-1-11-1-11111-1-1-11
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111-111-1-1-1-1-1-1111-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-11-1-111-1-111111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1111-11111-1-1-1-1-11
χ17222222222-22-22-22-2-20000-22222220022000000-2-2000000000-20-20000000000
χ18222222222-22-22-22-2-20000-22222-2-200-2-2000000-2-20000000002020000000000
χ19222222222-22-22-22-2-20000-2-2-2-2-22200-2-20000002200000000020-20000000000
χ20222222222-22-22-22-2-20000-2-2-2-2-2-2-2002200000022000000000-2020000000000
χ2122222222-22-22-22-22-22222-2000000-2-20022000000-2-2000000-20200000000000
χ2222222222-22-22-22-22-22222-2000000-2-200-2-20000002200000020-200000000000
χ2322222222-22-22-22-22-2-2-2-2-2-2000000220022000000-2-200000020-200000000000
χ2422222222-22-22-22-22-2-2-2-2-2-20000002200-2-200000022000000-20200000000000
χ252-22-22-22-222-2-222-2-2-22i2i−2i−2i22i2i−2i−2i002i−2i000022-2-22i−2i0000000000000000000000
χ262-22-22-22-222-2-222-2-2-22i2i−2i−2i2−2i−2i2i2i002i−2i0000-2-222−2i2i0000000000000000000000
χ272-22-22-22-222-2-222-2-2-2−2i−2i2i2i22i2i−2i−2i00−2i2i0000-2-2222i−2i0000000000000000000000
χ282-22-22-22-222-2-222-2-2-2−2i−2i2i2i2−2i−2i2i2i00−2i2i000022-2-2−2i2i0000000000000000000000
χ292-22-22-22-22-2-222-2-2220000-22i2i−2i−2i000000000000−2i2i0000002-200002i−2i00000000
χ302-22-22-22-22-2-222-2-2220000-22i2i−2i−2i000000000000−2i2i000000-220000−2i2i00000000
χ312-22-22-22-22-2-222-2-2220000-2−2i−2i2i2i0000000000002i−2i0000002-20000−2i2i00000000
χ322-22-22-22-22-2-222-2-2220000-2−2i−2i2i2i0000000000002i−2i000000-2200002i−2i00000000
χ332-22-22-22-2-222-2-222-222i2i−2i−2i-2000000−2i2i0000000000002i2i−2i−2i00000000002-20000
χ342-22-22-22-2-222-2-222-222i2i−2i−2i-2000000−2i2i000000000000−2i−2i2i2i0000000000-220000
χ352-22-22-22-2-222-2-222-22−2i−2i2i2i-20000002i−2i0000000000002i2i−2i−2i0000000000-220000
χ362-22-22-22-2-222-2-222-22−2i−2i2i2i-20000002i−2i000000000000−2i−2i2i2i00000000002-20000
χ3744444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ38444-4-4-4-440000000000000022−2222−220000002i2−2i2000000002i−2i2i−2i0000000000000000
χ39444-4-4-4-440000000000000022−2222−22000000−2i22i200000000−2i2i−2i2i0000000000000000
χ40444-4-4-4-4400000000000000−2222−22220000002i2−2i200000000−2i2i−2i2i0000000000000000
χ41444-4-4-4-4400000000000000−2222−2222000000−2i22i2000000002i−2i2i−2i0000000000000000
χ4244-444-4-4-44040-40-4000000000000000000000000000000000000000000022−2200
χ4344-444-4-4-44040-40-40000000000000000000000000000000000000000000−222200
χ4444-444-4-4-4-40-404040000000000000004i−4i000000000000000000000000000000
χ4544-444-4-4-4-40-40404000000000000000−4i4i000000000000000000000000000000
χ4644-4-4-444-404040-40-404i−4i4i−4i00000000000000000000000000000000000000000
χ4744-4-4-444-404040-40-40−4i4i−4i4i00000000000000000000000000000000000000000
χ4844-4-4-444-40-40-4040400000000000000000022−2222−22000000000000000000000000
χ4944-4-4-444-40-40-40404000000000000000000−2222−2222000000000000000000000000
χ504-444-44-4-4000000000000002i2−2i2−2i22i2000000000000002i2−2i22-2-220000000000000000
χ514-444-44-4-4000000000000002i2−2i2−2i22i200000000000000−2i22i2-222-20000000000000000
χ524-444-44-4-400000000000000−2i22i22i2−2i2000000000000002i2−2i2-222-20000000000000000
χ534-444-44-4-400000000000000−2i22i22i2−2i200000000000000−2i22i22-2-220000000000000000
χ544-44-44-44-4-4-444-4-444-4000040000000000000000000000000000000000000000
χ554-4-44-4-444040-40-40404-4-4400000000000000000000000000000000000000000
χ564-4-44-4-444040-40-4040-444-400000000000000000000000000000000000000000
χ574-4-44-4-4440-404040-400000000000000000022−22−2222000000000000000000000000
χ584-4-44-4-4440-404040-4000000000000000000−222222−22000000000000000000000000
χ594-4-4-444-4440-40-40400000000000000000000000000000000000000022−22000000
χ604-4-4-444-4440-40-404000000000000000000000000000000000000000−2222000000
χ614-4-4-444-44-404040-4000000000004-40000000000000000000000000000000000
χ624-4-4-444-44-404040-400000000000-440000000000000000000000000000000000

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