Finite Group Databasebeta

← Group #453949

Character table — Group #453949

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222222222888888888888888888888888161616161616161616161616161616161616
order12222222222244444444222222224444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-1-111-1-11-1-1-1-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-111-11-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-1-111111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111-1111111-1-1
χ911111111111111111111-1-1-1-111-1-111-1-11111111111111-1-1-1-1-1-1-11-111-1-1-1-111
χ1011111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1111-1-111-1-1
χ1111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-1
χ1211111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111
χ1311111111111111111111-1-1-1-1-1-111-1-111111111111111-11-1-1-1-1-1-1-11-1-11111-1-1
χ1411111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-111111-1-1-111-1-111
χ1511111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111
χ1611111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1
χ1722222222-2-2-2-22-2222-2-2-20000002200-2-20000000022-2-2020000000-200000000
χ1822222222-2-2-2-22-2222-2-2-20000002200-2-200000000-2-2220-20000000200000000
χ1922222222-2-2-2-22-2222-2-2-2000000-2-200220000000022-2-20-20000000200000000
χ2022222222-2-2-2-22-2222-2-2-2000000-2-2002200000000-2-222020000000-200000000
χ2122222222-2-2-2-2-22-2-2-222200002200-2-200000022-2-2000020000000-2000000000
χ2222222222-2-2-2-2-22-2-2-222200002200-2-2000000-2-2220000-200000002000000000
χ2322222222-2-2-2-2-22-2-2-22220000-2-2002200000022-2-20000-200000002000000000
χ2422222222-2-2-2-2-22-2-2-22220000-2-20022000000-2-222000020000000-2000000000
χ25222-2-2-2-2222-2-2222-2-22-2-222-2-20000000000000000000000000000002i−2i2i−2i0000
χ26222-2-2-2-2222-2-2222-2-22-2-222-2-2000000000000000000000000000000−2i2i−2i2i0000
χ27222-2-2-2-2222-2-2222-2-22-2-2-2-2220000000000000000000000000000002i−2i−2i2i0000
χ28222-2-2-2-2222-2-2222-2-22-2-2-2-222000000000000000000000000000000−2i2i2i−2i0000
χ292-2-222-2-222-2-22-2-222-222-22-22-20000000022-2-200000000002-200000000000000
χ302-2-222-2-222-2-22-2-222-222-22-22-200000000-2-2220000000000-2200000000000000
χ312-2-222-2-222-2-22-2-222-222-2-22-220000000022-2-20000000000-2200000000000000
χ322-2-222-2-222-2-22-2-222-222-2-22-2200000000-2-22200000000002-200000000000000
χ332-2-2-2-22222-22-2-2-22-222-222-2-222-22-22-22-2000000000000000000000000000000
χ342-2-2-2-22222-22-2-2-22-222-222-2-22-22-22-22-22000000000000000000000000000000
χ352-2-2-2-22222-22-2-2-22-222-22-222-22-2-222-2-22000000000000000000000000000000
χ362-2-2-2-22222-22-2-2-22-222-22-222-2-222-2-222-2000000000000000000000000000000
χ372-2-2-2-2222-22-222-2-22-22-2200002-200-220000000000000000002-2000000002-200
χ382-2-2-2-2222-22-222-2-22-22-2200002-200-22000000000000000000-2200000000-2200
χ392-2-2-2-2222-22-222-2-22-22-220000-22002-20000000000000000002-200000000-2200
χ402-2-2-2-2222-22-222-2-22-22-220000-22002-2000000000000000000-22000000002-200
χ412-2-2-2-2222-22-22-222-22-22-20000002-200-220000000000000000002-2000000002-2
χ422-2-2-2-2222-22-22-222-22-22-20000002-200-22000000000000000000-2200000000-22
χ432-2-2-2-2222-22-22-222-22-22-2000000-22002-20000000000000000002-200000000-22
χ442-2-2-2-2222-22-22-222-22-22-2000000-22002-2000000000000000000-22000000002-2
χ45444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000
χ46444-4-4-4-4444-4-4-4-4-444-444000000000000000000000000000000000000000000
χ47444-4-4-4-44-4-4444-44-4-4-444000000000000000000000000000000000000000000
χ48444-4-4-4-44-4-444-44-4444-4-4000000000000000000000000000000000000000000
χ4944-44-44-4-40000000000000000000000002i−2i2i−2i002i2−2i222−2200000000000000000000
χ5044-44-44-4-40000000000000000000000002i−2i2i−2i00−2i22i2−222200000000000000000000
χ5144-44-44-4-4000000000000000000000000−2i2i−2i2i002i2−2i2−222200000000000000000000
χ5244-44-44-4-4000000000000000000000000−2i2i−2i2i00−2i22i222−2200000000000000000000
χ534-444-4-44-40000000000000000000000002i−2i−2i2i22−2200002i2−2i2000000000000000000
χ544-444-4-44-40000000000000000000000002i−2i−2i2i−22220000−2i22i2000000000000000000
χ554-444-4-44-4000000000000000000000000−2i2i2i−2i22−220000−2i22i2000000000000000000
χ564-444-4-44-4000000000000000000000000−2i2i2i−2i−222200002i2−2i2000000000000000000
χ574-4-444-4-444-4-4444-4-44-4-44000000000000000000000000000000000000000000
χ584-4-444-4-44-444-44-4-4-4444-4000000000000000000000000000000000000000000
χ594-4-444-4-44-444-4-4444-4-4-44000000000000000000000000000000000000000000
χ604-4-4-4-44444-44-444-44-4-44-4000000000000000000000000000000000000000000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-88-888-8-8000000000000000000000000000000000000000000000000000000

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