Finite Group Databasebeta

← Group #238463

Character table — Group #238463

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111111112222222222224444444488888888888888888888888816161616161616161616161616161616
order12222222222222222222444444444444444488888888888888882244444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-11-1111-1-1-111-1-1
χ1011111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-11-1-1-1111-1-111
χ1111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111-11-11-1-1-11-111-1-111
χ1211111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-11-11-1111-11-1-111-1-1
χ1311111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111111-11-1-1111-11-1-1-1-111
χ1411111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-11-111-1-1-11-11111-1-1
χ1511111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-11-11-1-11-1-1-111111-1-1
χ1611111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-11-111-1111-1-1-1-1-111
χ1722222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ1822222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ1922222222222-2-2-2-2-2-2-2-22-2-22222-2-222-2-2-2-22200000000000000000000000000000000
χ2022222222222-2-2-2-2-2-2-2-22-2-22222-2-2-2-22222-2-200000000000000000000000000000000
χ2122222222-2-2-22222-2-2-2-2-22-222-2-22-200000000000000000000000022-2-2000000000000
χ2222222222-2-2-22222-2-2-2-2-22-222-2-22-2000000000000000000000000-2-222000000000000
χ2322222222-2-2-22222-2-2-2-2-2-22-2-222-2200000000000000000000000000002200-2-2000000
χ2422222222-2-2-22222-2-2-2-2-2-22-2-222-220000000000000000000000000000-2-20022000000
χ2522222222-2-2-2-2-2-2-22222-22-2-2-2222-20000000000000000000000002-2-22000000000000
χ2622222222-2-2-2-2-2-2-22222-22-2-2-2222-2000000000000000000000000-222-2000000000000
χ2722222222-2-2-2-2-2-2-22222-2-2222-2-2-2200000000000000000000000000002-200-22000000
χ2822222222-2-2-2-2-2-2-22222-2-2222-2-2-220000000000000000000000000000-22002-2000000
χ292222-2-2-2-22-2-222-2-222-2-220000000000002i−2i2i−2ii2i2−i2−i2i2i2−i2−i222−2−222−2−20000000000000000
χ302222-2-2-2-22-2-222-2-222-2-220000000000002i−2i2i−2i−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000000000000000
χ312222-2-2-2-22-2-222-2-222-2-22000000000000−2i2i−2i2ii2i2−i2−i2i2i2−i2−i2−2−222−2−2220000000000000000
χ322222-2-2-2-22-2-222-2-222-2-22000000000000−2i2i−2i2i−i2−i2i2i2−i2−i2i2i222−2−222−2−20000000000000000
χ332222-2-2-2-22-2-2-2-222-2-22220000000000002i−2i−2i2ii2i2−i2−i2−i2−i2i2i222−2−2−2−2220000000000000000
χ342222-2-2-2-22-2-2-2-222-2-22220000000000002i−2i−2i2i−i2−i2i2i2i2i2−i2−i2−2−22222−2−20000000000000000
χ352222-2-2-2-22-2-2-2-222-2-2222000000000000−2i2i2i−2ii2i2−i2−i2−i2−i2i2i2−2−22222−2−20000000000000000
χ362222-2-2-2-22-2-2-2-222-2-2222000000000000−2i2i2i−2i−i2−i2i2i2i2i2−i2−i222−2−2−2−2220000000000000000
χ372-22-22-22-222-22-22-22-22-2-2000000002i−2i2i−2i00002−22−22−22−2i2−i2i2−i2i2−i2i2−i20000000000000000
χ382-22-22-22-222-22-22-22-22-2-2000000002i−2i2i−2i0000−22−22−22−22−i2i2−i2i2−i2i2−i2i20000000000000000
χ392-22-22-22-222-22-22-22-22-2-200000000−2i2i−2i2i00002−22−22−22−2−i2i2−i2i2−i2i2−i2i20000000000000000
χ402-22-22-22-222-22-22-22-22-2-200000000−2i2i−2i2i0000−22−22−22−22i2−i2i2−i2i2−i2i2−i20000000000000000
χ412-22-22-22-222-2-22-22-22-22-2000000002i−2i−2i2i00002−22−2−22−22i2−i2i2−i2−i2i2−i2i20000000000000000
χ422-22-22-22-222-2-22-22-22-22-2000000002i−2i−2i2i0000−22−222−22−2−i2i2−i2i2i2−i2i2−i20000000000000000
χ432-22-22-22-222-2-22-22-22-22-200000000−2i2i2i−2i00002−22−2−22−22−i2i2−i2i2i2−i2i2−i20000000000000000
χ442-22-22-22-222-2-22-22-22-22-200000000−2i2i2i−2i0000−22−222−22−2i2−i2i2−i2−i2i2−i2i20000000000000000
χ452-22-2-22-222-222-2-222-2-22-22-22-22-2-22000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ462-22-2-22-222-222-2-222-2-22-22-22-22-2-2200000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ472-22-2-22-222-222-2-222-2-22-2-22-22-222-200000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ482-22-2-22-222-222-2-222-2-22-2-22-22-222-20000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ492-22-2-22-222-22-222-2-222-2-22-2-22-22-22000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ502-22-2-22-222-22-222-2-222-2-22-2-22-22-2200000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ512-22-2-22-222-22-222-2-222-2-2-222-22-22-200000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ522-22-2-22-222-22-222-2-222-2-2-222-22-22-20000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ532-22-2-22-22-22-22-2-22-222-22222-2-22-2-20000000000000000000000000000002i−2i002i−2i0000
χ542-22-2-22-22-22-22-2-22-222-22222-2-22-2-2000000000000000000000000000000−2i2i00−2i2i0000
χ552-22-2-22-22-22-22-2-22-222-22-2-2-222-2220000000000000000000000000000000000002-22-2
χ562-22-2-22-22-22-22-2-22-222-22-2-2-222-222000000000000000000000000000000000000-22-22
χ572-22-2-22-22-22-2-222-22-2-22222-222-2-2-20000000000000000000000000000002i−2i00−2i2i0000
χ582-22-2-22-22-22-2-222-22-2-22222-222-2-2-2000000000000000000000000000000−2i2i002i−2i0000
χ592-22-2-22-22-22-2-222-22-2-222-2-22-2-22220000000000000000000000000000000000002-2-22
χ602-22-2-22-22-22-2-222-22-2-222-2-22-2-2222000000000000000000000000000000000000-222-2
χ614444-4-4-4-4-44444-4-4-4-444-4000000000000000000000000000000000000000000000000
χ624444-4-4-4-4-444-4-44444-4-4-4000000000000000000000000000000000000000000000000
χ634-44-44-44-4-4-444-44-4-44-444000000000000000000000000000000000000000000000000
χ644-44-44-44-4-4-44-44-444-44-44000000000000000000000000000000000000000000000000
χ6588-8-888-8-8000000000000000000000000000000000000000000000000000000000000
χ6688-8-8-8-888000000000000000000000000000000000000000000000000000000000000
χ678-8-888-8-88000000000000000000000000000000000000000000000000000000000000
χ688-8-88-888-8000000000000000000000000000000000000000000000000000000000000

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