Finite Group Databasebeta

← Group #434759

Character table — Group #434759

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111111112222222222224444444488888888888888888888888816161616161616161616161616161616
order12222222222244444444888888882244444444448888888888884444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111111-11-1-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111-1-11111-1-1111111111111-1-1-1-1-11-11-1-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ7111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-111111-1-1-1-11111
χ911111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-11-1111-1-111-1-1-1-1-1-1
χ1011111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-11111-1-1
χ1111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-111
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-11-111-1-111-1-11111
χ1311111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ1411111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111-11-1-1-11111-1-111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ1722222222-2-2-2-2222-2-2-2-22000022220022-2-2000000000000-2-20000020-2000000000000
χ1822222222-2-2-2-2222-2-2-2-220000222200-2-222000000000000-2-200000-202000000000000
χ1922222222-2-2-2-2222-2-2-2-220000-2-2-2-20022-2-20000000000002200000-202000000000000
χ2022222222-2-2-2-2222-2-2-2-220000-2-2-2-200-2-222000000000000220000020-2000000000000
χ2122222222-2-2-2-2-2-2-22222-222220000220000-2-200000000-2-200000020-20000000000000
χ2222222222-2-2-2-2-2-2-22222-222220000-2-200002200000000-2-2000000-2020000000000000
χ2322222222-2-2-2-2-2-2-22222-2-2-2-2-20000220000-2-20000000022000000-2020000000000000
χ2422222222-2-2-2-2-2-2-22222-2-2-2-2-20000-2-2000022000000002200000020-20000000000000
χ2522-2-2-222-22-2-2222-22-2-22-2000000000000000000002i2i−2i−2i00002i2i−2i−2i00000000002-20000
χ2622-2-2-222-22-2-2222-22-2-22-2000000000000000000002i2i−2i−2i0000−2i−2i2i2i0000000000-220000
χ2722-2-2-222-22-2-2222-22-2-22-200000000000000000000−2i−2i2i2i00002i2i−2i−2i0000000000-220000
χ2822-2-2-222-22-2-2222-22-2-22-200000000000000000000−2i−2i2i2i0000−2i−2i2i2i00000000002-20000
χ292-222-22-2-222-2-22-2222-2-2-2000000002-22-22-22-2000000000000000000002-20000000000
χ302-222-22-2-222-2-22-2222-2-2-2000000002-2-22-222-200000000000000000000-220000000000
χ312-222-22-2-222-2-22-2222-2-2-200000000-222-22-2-2200000000000000000000-220000000000
χ322-222-22-2-222-2-22-2222-2-2-200000000-22-22-22-22000000000000000000002-20000000000
χ332-222-22-2-2-2-2222-22-2-222-200000000002-2-22000000000000002i−2i2i−2i000000002i−2i000000
χ342-222-22-2-2-2-2222-22-2-222-200000000002-2-2200000000000000−2i2i−2i2i00000000−2i2i000000
χ352-222-22-2-2-2-2222-22-2-222-20000000000-222-2000000000000002i−2i2i−2i00000000−2i2i000000
χ362-222-22-2-2-2-2222-22-2-222-20000000000-222-200000000000000−2i2i−2i2i000000002i−2i000000
χ372-222-22-2-2-2-222-22-222-2-22000000002-20000-2200002i−2i2i−2i000000000000002i−2i00000000
χ382-222-22-2-2-2-222-22-222-2-22000000002-20000-220000−2i2i−2i2i00000000000000−2i2i00000000
χ392-222-22-2-2-2-222-22-222-2-2200000000-2200002-200002i−2i2i−2i00000000000000−2i2i00000000
χ402-222-22-2-2-2-222-22-222-2-2200000000-2200002-20000−2i2i−2i2i000000000000002i−2i00000000
χ412-2-2-222-222-22-2-222-22-22-222-2-22i2i−2i−2i000000002i2i−2i−2i00002-22i−2i00000000000000000000
χ422-2-2-222-222-22-2-222-22-22-222-2-2−2i−2i2i2i00000000−2i−2i2i2i00002-2−2i2i00000000000000000000
χ432-2-2-222-222-22-2-222-22-22-2-2-2222i2i−2i−2i00000000−2i−2i2i2i0000-222i−2i00000000000000000000
χ442-2-2-222-222-22-2-222-22-22-2-2-222−2i−2i2i2i000000002i2i−2i−2i0000-22−2i2i00000000000000000000
χ452-2-2-222-22-22-222-2-2-22-22222-2-200000000000000000000-22002-2-22000000000000002-2
χ462-2-2-222-22-22-222-2-2-22-22222-2-200000000000000000000-2200-222-200000000000000-22
χ472-2-2-222-22-22-222-2-2-22-222-2-222000000000000000000002-2002-2-2200000000000000-22
χ482-2-2-222-22-22-222-2-2-22-222-2-222000000000000000000002-200-222-2000000000000002-2
χ492-2-2-222-22-22-22-2222-22-2-200002i2i−2i−2i0000000000002-2-2200−2i2i00000000000000002i−2i00
χ502-2-2-222-22-22-22-2222-22-2-200002i2i−2i−2i000000000000-222-200−2i2i0000000000000000−2i2i00
χ512-2-2-222-22-22-22-2222-22-2-20000−2i−2i2i2i0000000000002-2-22002i−2i0000000000000000−2i2i00
χ522-2-2-222-22-22-22-2222-22-2-20000−2i−2i2i2i000000000000-222-2002i−2i00000000000000002i−2i00
χ53444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000
χ54444-44-4-4-400000000000022−2222−2222−2222−22000000002-22-20000000000000000000000000000
χ55444-44-4-4-400000000000022−2222−22−2222−222200000000-22-220000000000000000000000000000
χ56444-44-4-4-4000000000000−2222−222222−2222−2200000000-22-220000000000000000000000000000
χ57444-44-4-4-4000000000000−2222−2222−2222−2222000000002-22-20000000000000000000000000000
χ5844-4-4-444-44-4-44-4-44-444-44000000000000000000000000000000000000000000000000
χ5944-4-4-444-4-444-444-4-444-4-4000000000000000000000000000000000000000000000000
χ6044-4-4-444-4-444-4-4-444-4-444000000000000000000000000000000000000000000000000
χ614-444-44-4-444-4-4-44-4-4-4444000000000000000000000000000000000000000000000000
χ624-4-444-44-400000000000022−22−22222i2−2i2−2i22i2000000002i−2i−2i2i0000000000000000000000000000
χ634-4-444-44-400000000000022−22−2222−2i22i22i2−2i200000000−2i2i2i−2i0000000000000000000000000000
χ644-4-444-44-4000000000000−222222−222i2−2i2−2i22i200000000−2i2i2i−2i0000000000000000000000000000
χ654-4-444-44-4000000000000−222222−22−2i22i22i2−2i2000000002i−2i−2i2i0000000000000000000000000000
χ664-4-4-444-444-44-44-4-44-44-44000000000000000000000000000000000000000000000000
χ6788-88-8-8-88000000000000000000000000000000000000000000000000000000000000
χ688-88-8-8-888000000000000000000000000000000000000000000000000000000000000

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