Finite Group Databasebeta

← Group #472912

Character table — Group #472912

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222222222444444444444444444444444161616161616161616161616161616161616161616161616
order12222222222244444444444444448888888888888888224444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-11-1-1-11-1-1-1-1-11-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111-11-11-1-1-11-1-1-1-1-11-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-11-1-1-1-11-11111-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-1111-1-11111-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111
χ911111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1111-111-1-111-1-1-1-1-1-1-1-111
χ1011111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-1111-111-1-1-1-111-1-1
χ1111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111-11111111-1-111
χ1211111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1-1-1-1-1111111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-1-1-1111-1-11111-1-111-1-1-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-1111-1-1-1-1-1111111
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111111-1-111-11-1-111-1-1-1-1-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-11-111-1-1-1-11111-1-11111
χ1722222222-2-2-2-22-2222-2-2-200000000000000002222-2-2-2-20202000-200000-20000000000
χ1822222222-2-2-2-22-2222-2-2-200000000000000002222-2-2-2-20-20-200020000020000000000
χ1922222222-2-2-2-22-2222-2-2-20000000000000000-2-2-2-22222020-2000200000-20000000000
χ2022222222-2-2-2-22-2222-2-2-20000000000000000-2-2-2-222220-202000-20000020000000000
χ2122222222-2-2-2-2-22-2-2-2222000000002222-2-2-2-200000000202000-200000-200000000000
χ2222222222-2-2-2-2-22-2-2-2222000000002222-2-2-2-200000000-20-2000200000200000000000
χ2322222222-2-2-2-2-22-2-2-222200000000-2-2-2-222220000000020-2000200000-200000000000
χ2422222222-2-2-2-2-22-2-2-222200000000-2-2-2-2222200000000-202000-200000200000000000
χ2522-2-22-2-2222-2-22-22-2-222-200000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000002i−2i2-2
χ2622-2-22-2-2222-2-22-22-2-222-200000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000−2i2i-22
χ2722-2-22-2-2222-2-22-22-2-222-20000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000002i−2i-22
χ2822-2-22-2-2222-2-22-22-2-222-20000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000−2i2i2-2
χ2922-2-22-2-2222-2-2-22-222-2-22000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000002i−2i2-20000
χ3022-2-22-2-2222-2-2-22-222-2-22000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000−2i2i-220000
χ3122-2-22-2-2222-2-2-22-222-2-2200000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000002i−2i-220000
χ3222-2-22-2-2222-2-2-22-222-2-2200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2i2i2-20000
χ3322-2-22-2-22-2-222222-2-2-2-222222-2-2-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ3422-2-22-2-22-2-222222-2-2-2-222222-2-2-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ3522-2-22-2-22-2-222222-2-2-2-22-2-2-2-222222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ3622-2-22-2-22-2-222222-2-2-2-22-2-2-2-22222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ372-22-2-22-222-22-222-22-22-2-22i2i−2i−2i2i2i−2i−2i000000000000000000002i−2i000000002-200000000
χ382-22-2-22-222-22-222-22-22-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000−2i2i00000000-2200000000
χ392-22-2-22-222-22-222-22-22-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000002i−2i00000000-2200000000
χ402-22-2-22-222-22-222-22-22-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000−2i2i000000002-200000000
χ412-2-22-2-222-222-222-2-22-22-22i2i−2i−2i−2i−2i2i2i0000000000000000000000002-22i−2i000000000000
χ422-2-22-2-222-222-222-2-22-22-22i2i−2i−2i−2i−2i2i2i000000000000000000000000-22−2i2i000000000000
χ432-2-22-2-222-222-222-2-22-22-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000002-2−2i2i000000000000
χ442-2-22-2-222-222-222-2-22-22-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000-222i−2i000000000000
χ45444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000
χ464444-4-4-4-40000000000002-22-22-22-222−2222−22000022−2222−220000000000000000000000000000
χ474444-4-4-4-40000000000002-22-22-22-2−2222−22220000−2222−22220000000000000000000000000000
χ484444-4-4-4-4000000000000-22-22-22-2222−2222−220000−2222−22220000000000000000000000000000
χ494444-4-4-4-4000000000000-22-22-22-22−2222−2222000022−2222−220000000000000000000000000000
χ5044-4-44-4-44-4-444-4-4-44444-4000000000000000000000000000000000000000000000000
χ5144-4-4-444-40000000000002-22-2-22-222i2−2i2−2i22i200002i2−2i2−2i22i20000000000000000000000000000
χ5244-4-4-444-40000000000002-22-2-22-22−2i22i22i2−2i20000−2i22i22i2−2i20000000000000000000000000000
χ5344-4-4-444-4000000000000-22-222-22-22i2−2i2−2i22i20000−2i22i22i2−2i20000000000000000000000000000
χ5444-4-4-444-4000000000000-22-222-22-2−2i22i22i2−2i200002i2−2i2−2i22i20000000000000000000000000000
χ554-44-44-44-40000000000002i−2i−2i2i2i−2i−2i2i000022−2222−2200002i2−2i22i2−2i2000000000000000000000000
χ564-44-44-44-40000000000002i−2i−2i2i2i−2i−2i2i0000−2222−22220000−2i22i2−2i22i2000000000000000000000000
χ574-44-44-44-4000000000000−2i2i2i−2i−2i2i2i−2i000022−2222−220000−2i22i2−2i22i2000000000000000000000000
χ584-44-44-44-4000000000000−2i2i2i−2i−2i2i2i−2i0000−2222−222200002i2−2i22i2−2i2000000000000000000000000
χ594-44-4-44-444-44-4-4-44-44-444000000000000000000000000000000000000000000000000
χ604-44-4-44-44-44-444-4-44-4-444000000000000000000000000000000000000000000000000
χ614-44-4-44-44-44-44-444-444-4-4000000000000000000000000000000000000000000000000
χ624-4-4444-4-40000000000002i−2i−2i2i−2i2i2i−2i00002i2−2i2−2i22i20000−222222−22000000000000000000000000
χ634-4-4444-4-40000000000002i−2i−2i2i−2i2i2i−2i0000−2i22i22i2−2i2000022−22−2222000000000000000000000000
χ644-4-4444-4-4000000000000−2i2i2i−2i2i−2i−2i2i00002i2−2i2−2i22i2000022−22−2222000000000000000000000000
χ654-4-4444-4-4000000000000−2i2i2i−2i2i−2i−2i2i0000−2i22i22i2−2i20000−222222−22000000000000000000000000
χ664-4-44-4-4444-4-444-4-4-444-44000000000000000000000000000000000000000000000000
χ674-4-44-4-4444-4-44-4444-4-44-4000000000000000000000000000000000000000000000000
χ684-4-44-4-444-444-4-4-444-44-44000000000000000000000000000000000000000000000000

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