Finite Group Databasebeta

← Group #410050

Character table — Group #410050

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111111112222222222224444444488888888888888888888888816161616161616161616161616161616
order12222222222222222222444444444444444444444444444444442244444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-11-11-11-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-11-11-11-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-11-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-11-111111-1-1-1-1
χ911111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11-11-1-11-1111-1-111-1-1
χ1011111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-11-111-11-1-1-111-1-111
χ1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-11-11-1-111-1-111
χ1211111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111-11-111-1-111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ172222222222-2-2-2-222-2-2-2-22222-2-2-2-2000000000000000000000000020-2020-200000000
χ182222222222-2-2-2-222-2-2-2-22222-2-2-2-20000000000000000000000000-2020-20200000000
χ192222222222-2-2-2-222-2-2-2-2-2-2-2-22222000000000000000000000000020-20-20200000000
χ202222222222-2-2-2-222-2-2-2-2-2-2-2-222220000000000000000000000000-202020-200000000
χ2122222222-2-222-2-2-2-222-2-222-2-222-2-200000000000000000000000020-2020-2000000000
χ2222222222-2-222-2-2-2-222-2-222-2-222-2-2000000000000000000000000-2020-202000000000
χ2322222222-2-222-2-2-2-222-2-2-2-222-2-22200000000000000000000000020-20-202000000000
χ2422222222-2-222-2-2-2-222-2-2-2-222-2-222000000000000000000000000-202020-2000000000
χ2522222222-2-2-2-222-2-2-2-22222-2-2-2-22222-2-2-2-20000220000000000000000000000000000
χ2622222222-2-2-2-222-2-2-2-22222-2-2-2-222-2-222220000-2-20000000000000000000000000000
χ2722222222-2-2-2-222-2-2-2-222-2-22222-2-222-2-2220000-2-20000000000000000000000000000
χ2822222222-2-2-2-222-2-2-2-222-2-22222-2-2-2-222-2-20000220000000000000000000000000000
χ2922-222-2-2-22-22-2-2-22-22-222000000002i−2i2i−2i000000002i2i−2i−2i000022-2-20000000000000000
χ3022-222-2-2-22-22-2-2-22-22-222000000002i−2i2i−2i00000000−2i−2i2i2i0000-2-2220000000000000000
χ3122-222-2-2-22-22-2-2-22-22-22200000000−2i2i−2i2i000000002i2i−2i−2i0000-2-2220000000000000000
χ3222-222-2-2-22-22-2-2-22-22-22200000000−2i2i−2i2i00000000−2i−2i2i2i000022-2-20000000000000000
χ3322-222-2-2-2-22-22-2-2-22-2222000000002i−2i−2i2i002i2i−2i−2i00000022-2-200000000000000000000
χ3422-222-2-2-2-22-22-2-2-22-2222000000002i−2i−2i2i00−2i−2i2i2i000000-2-22200000000000000000000
χ3522-222-2-2-2-22-22-2-2-22-222200000000−2i2i2i−2i002i2i−2i−2i000000-2-22200000000000000000000
χ3622-222-2-2-2-22-22-2-2-22-222200000000−2i2i2i−2i00−2i−2i2i2i00000022-2-200000000000000000000
χ372-222-22-2-22-22-22-2-22-222-22i−2i2i−2i2i−2i2i−2i00000000000000002-22-22i−2i2i−2i0000000000000000
χ382-222-22-2-22-22-22-2-22-222-22i−2i2i−2i2i−2i2i−2i0000000000000000-22-22−2i2i−2i2i0000000000000000
χ392-222-22-2-22-22-22-2-22-222-2−2i2i−2i2i−2i2i−2i2i00000000000000002-22-2−2i2i−2i2i0000000000000000
χ402-222-22-2-22-22-22-2-22-222-2−2i2i−2i2i−2i2i−2i2i0000000000000000-22-222i−2i2i−2i0000000000000000
χ412-222-22-2-22-2-22-22-222-2-222i−2i2i−2i−2i2i−2i2i000000000000000000000000000000002-22i−2i0000
χ422-222-22-2-22-2-22-22-222-2-222i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000-22−2i2i0000
χ432-222-22-2-22-2-22-22-222-2-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000002-2−2i2i0000
χ442-222-22-2-22-2-22-22-222-2-22−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000-222i−2i0000
χ452-222-22-2-2-222-2-222-2-22-222i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000002i−2i2-2
χ462-222-22-2-2-222-2-222-2-22-222i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000−2i2i-22
χ472-222-22-2-2-222-2-222-2-22-22−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000002i−2i-22
χ482-222-22-2-2-222-2-222-2-22-22−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000−2i2i2-2
χ492-222-22-2-2-22-222-22-22-22-22i−2i−2i2i−2i2i2i−2i0000002-22-2002i−2i2i−2i000000000000000000000000
χ502-222-22-2-2-22-222-22-22-22-22i−2i−2i2i−2i2i2i−2i000000-22-2200−2i2i−2i2i000000000000000000000000
χ512-222-22-2-2-22-222-22-22-22-2−2i2i2i−2i2i−2i−2i2i0000002-22-200−2i2i−2i2i000000000000000000000000
χ522-222-22-2-2-22-222-22-22-22-2−2i2i2i−2i2i−2i−2i2i000000-22-22002i−2i2i−2i000000000000000000000000
χ532-2-22-2-2222222-22-2-2-2-22-20000000000002-22i−2i−2i2i2-2000000002i−2i−2i2i0000000000000000
χ542-2-22-2-2222222-22-2-2-2-22-20000000000002-2−2i2i2i−2i2-200000000−2i2i2i−2i0000000000000000
χ552-2-22-2-2222222-22-2-2-2-22-2000000000000-222i−2i−2i2i-2200000000−2i2i2i−2i0000000000000000
χ562-2-22-2-2222222-22-2-2-2-22-2000000000000-22−2i2i2i−2i-22000000002i−2i−2i2i0000000000000000
χ572-2-22-2-222-2-2-2-2-2222222-20000000000002-20000-222-2-222-2-2200000000000000000000
χ582-2-22-2-222-2-2-2-2-2222222-20000000000002-20000-22-222-2-222-200000000000000000000
χ592-2-22-2-222-2-2-2-2-2222222-2000000000000-2200002-22-2-22-222-200000000000000000000
χ602-2-22-2-222-2-2-2-2-2222222-2000000000000-2200002-2-222-22-2-2200000000000000000000
χ6144-444-4-4-44-4-44444-4-44-4-4000000000000000000000000000000000000000000000000
χ6244-444-4-4-4-444-444-444-4-4-4000000000000000000000000000000000000000000000000
χ634-4-44-4-44444-4-44-4-4-444-44000000000000000000000000000000000000000000000000
χ644-4-44-4-444-4-4444-444-4-4-44000000000000000000000000000000000000000000000000
χ65888-8-8-88-8000000000000000000000000000000000000000000000000000000000000
χ6688-8-8-88-88000000000000000000000000000000000000000000000000000000000000
χ678-88-88-8-88000000000000000000000000000000000000000000000000000000000000
χ688-8-8-8888-8000000000000000000000000000000000000000000000000000000000000

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