Finite Group Databasebeta

← Group #472010

Character table — Group #472010

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222222222444444444444444444444444161616161616161616161616161616161616161616161616
order12222222222244444444444444448888888888888888224444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ311111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11-111-1-111-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1111-1-1-111-1-11111-1-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-11-1-11111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1111-1-1-1-111-1-111
χ911111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-1
χ1011111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-1-1-1-1-1
χ1111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111
χ1211111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1111111111-1-1-1-1-1-1-1-1-1-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-111111111-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111111-1-1-1-1-111111-1-1-1-111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-11111-11-1-1-1-1111111-1-1
χ1722222222-2-2-2-222-22-2-2-2200000000000000002222-2-2-2-2002-22-2000000000000000000
χ1822222222-2-2-2-222-22-2-2-2200000000000000002222-2-2-2-200-22-22000000000000000000
χ1922222222-2-2-2-222-22-2-2-220000000000000000-2-2-2-22222002-2-22000000000000000000
χ2022222222-2-2-2-222-22-2-2-220000000000000000-2-2-2-2222200-222-2000000000000000000
χ2122222222-2-2-2-2-2-22-2222-2000000002222-2-2-2-2000000002200000000-2-2000000000000
χ2222222222-2-2-2-2-2-22-2222-2000000002222-2-2-2-200000000-2-20000000022000000000000
χ2322222222-2-2-2-2-2-22-2222-200000000-2-2-2-22222000000002-200000000-22000000000000
χ2422222222-2-2-2-2-2-22-2222-200000000-2-2-2-2222200000000-22000000002-2000000000000
χ2522-2-2-2-22222-2-2222-22-2-2-20000000022-2-222-2-200000000000000000000000000002i−2i2i−2i
χ2622-2-2-2-22222-2-2222-22-2-2-20000000022-2-222-2-20000000000000000000000000000−2i2i−2i2i
χ2722-2-2-2-22222-2-2222-22-2-2-200000000-2-222-2-22200000000000000000000000000002i−2i−2i2i
χ2822-2-2-2-22222-2-2222-22-2-2-200000000-2-222-2-2220000000000000000000000000000−2i2i2i−2i
χ2922-2-2-2-22222-2-2-2-2-22-2222000000000000000022-2-222-2-200000000000000002-22-20000
χ3022-2-2-2-22222-2-2-2-2-22-2222000000000000000022-2-222-2-20000000000000000-22-220000
χ3122-2-2-2-22222-2-2-2-2-22-22220000000000000000-2-222-2-22200000000000000002-2-220000
χ3222-2-2-2-22222-2-2-2-2-22-22220000000000000000-2-222-2-2220000000000000000-222-20000
χ3322-2-2-2-222-2-222-2-2222-2-222222-2-2-2-222-2-2-2-22222-2-2-2-222000000000000000000000000
χ3422-2-2-2-222-2-222-2-2222-2-222222-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000
χ3522-2-2-2-222-2-222-2-2222-2-22-2-2-2-2222222-2-2-2-222-2-22222-2-2000000000000000000000000
χ3622-2-2-2-222-2-222-2-2222-2-22-2-2-2-22222-2-22222-2-222-2-2-2-222000000000000000000000000
χ372-222-2-2-222-22-22-222-22-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000002i−2i00002-200000000
χ382-222-2-2-222-22-22-222-22-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000−2i2i0000-2200000000
χ392-222-2-2-222-22-22-222-22-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000002i−2i0000-2200000000
χ402-222-2-2-222-22-22-222-22-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2i2i00002-200000000
χ412-2-2-222-22-222-2-2222-2-22-22i2i−2i−2i−2i−2i2i2i00000000000000000000002i−2i00002-20000000000
χ422-2-2-222-22-222-2-2222-2-22-22i2i−2i−2i−2i−2i2i2i0000000000000000000000−2i2i0000-220000000000
χ432-2-2-222-22-222-2-2222-2-22-2−2i−2i2i2i2i2i−2i−2i00000000000000000000002i−2i0000-220000000000
χ442-2-2-222-22-222-2-2222-2-22-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000−2i2i00002-20000000000
χ45444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000
χ46444-44-4-4-40000000000002-22-22-22-222−2222−220000000022−2222−22000000000000000000000000
χ47444-44-4-4-40000000000002-22-22-22-2−2222−222200000000−2222−2222000000000000000000000000
χ48444-44-4-4-4000000000000-22-22-22-2222−2222−2200000000−2222−2222000000000000000000000000
χ49444-44-4-4-4000000000000-22-22-22-22−2222−22220000000022−2222−22000000000000000000000000
χ5044-44-44-4-40000000000002-22-2-22-2222−22−222200000000−222222−22000000000000000000000000
χ5144-44-44-4-40000000000002-22-2-22-22−222222−220000000022−22−2222000000000000000000000000
χ5244-44-44-4-4000000000000-22-222-22-222−22−22220000000022−22−2222000000000000000000000000
χ5344-44-44-4-4000000000000-22-222-22-2−222222−2200000000−222222−22000000000000000000000000
χ5444-4-4-4-444-4-44444-4-4-444-4000000000000000000000000000000000000000000000000
χ554-444-4-4-444-44-4-44-4-44-444000000000000000000000000000000000000000000000000
χ564-444-4-4-44-44-444-4-444-44-4000000000000000000000000000000000000000000000000
χ574-444-4-4-44-44-44-444-4-44-44000000000000000000000000000000000000000000000000
χ584-44-4-444-40000000000002i−2i−2i2i2i−2i−2i2i00002i2−2i22i2−2i222−2222−220000000000000000000000000000
χ594-44-4-444-40000000000002i−2i−2i2i2i−2i−2i2i0000−2i22i2−2i22i2−2222−22220000000000000000000000000000
χ604-44-4-444-4000000000000−2i2i2i−2i−2i2i2i−2i00002i2−2i22i2−2i2−2222−22220000000000000000000000000000
χ614-44-4-444-4000000000000−2i2i2i−2i−2i2i2i−2i0000−2i22i2−2i22i222−2222−220000000000000000000000000000
χ624-4-444-44-40000000000002i−2i−2i2i−2i2i2i−2i00002i2−2i2−2i22i2−222222−220000000000000000000000000000
χ634-4-444-44-40000000000002i−2i−2i2i−2i2i2i−2i0000−2i22i22i2−2i222−22−22220000000000000000000000000000
χ644-4-444-44-4000000000000−2i2i2i−2i2i−2i−2i2i00002i2−2i2−2i22i222−22−22220000000000000000000000000000
χ654-4-444-44-4000000000000−2i2i2i−2i2i−2i−2i2i0000−2i22i22i2−2i2−222222−220000000000000000000000000000
χ664-4-4-444-444-4-444-44-4-4-444000000000000000000000000000000000000000000000000
χ674-4-4-444-444-4-44-44-4444-4-4000000000000000000000000000000000000000000000000
χ684-4-4-444-44-444-44-4-4-444-44000000000000000000000000000000000000000000000000

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