Finite Group Databasebeta

← Group #401710

Character table — Group #401710

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222444444444444888888888888888888888888888888161616161616161616161616
order12222222222244444444222244444444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111111111-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ61111111111111111111111111111-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1
χ911111111111111111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1011111111111111111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1111111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-11111-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ1211111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-11111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-11111-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1
χ17222222222222-2-2-2-2-2-2-2-20000000022-2-2002000022-2-200-2000022-2-200000000000000000000
χ18222222222222-2-2-2-2-2-2-2-20000000022-2-20020000-2-22200-20000-2-22200000000000000000000
χ19222222222222-2-2-2-2-2-2-2-200000000-2-22200-2000022-2-20020000-2-22200000000000000000000
χ20222222222222-2-2-2-2-2-2-2-200000000-2-22200-20000-2-222002000022-2-200000000000000000000
χ2122222222-2-2-2-2222-2-2-2-222222-2-2-2-222-2-200-222000000002-2-200000000000000000000000000
χ2222222222-2-2-2-2222-2-2-2-222222-2-2-2-2-2-222002-2-200000000-22200000000000000000000000000
χ2322222222-2-2-2-2222-2-2-2-22-2-2-2-2222222-2-200-2-2-20000000022200000000000000000000000000
χ2422222222-2-2-2-2222-2-2-2-22-2-2-2-22222-2-2220022200000000-2-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-22222-200000000222222-200-2-2000022-200-2-2000000000000000000000000
χ2622222222-2-2-2-2-2-2-22222-2000000002222-2-2-200220000-2-2-20022000000000000000000000000
χ2722222222-2-2-2-2-2-2-22222-200000000-2-2-2-222200-2-20000-2-220022000000000000000000000000
χ2822222222-2-2-2-2-2-2-22222-200000000-2-2-2-2-2-220022000022200-2-2000000000000000000000000
χ2922-22-2-22-22-22-22-2-22-22-2222-2-222-2-20000000000000000000000000000002i2i−2i−2i0000002i−2i0000
χ3022-22-2-22-22-22-22-2-22-22-2222-2-222-2-2000000000000000000000000000000−2i−2i2i2i000000−2i2i0000
χ3122-22-2-22-22-22-22-2-22-22-22-2-222-2-2220000000000000000000000000000002i2i−2i−2i000000−2i2i0000
χ3222-22-2-22-22-22-22-2-22-22-22-2-222-2-222000000000000000000000000000000−2i−2i2i2i0000002i−2i0000
χ3322-22-2-22-2-22-222-2-2-22-22222-2-2-2-222000000000000000000000000002i2i−2i−2i000000002i−2i000000
χ3422-22-2-22-2-22-222-2-2-22-22222-2-2-2-22200000000000000000000000000−2i−2i2i2i00000000−2i2i000000
χ3522-22-2-22-2-22-222-2-2-22-222-2-22222-2-2000000000000000000000000002i2i−2i−2i00000000−2i2i000000
χ3622-22-2-22-2-22-222-2-2-22-222-2-22222-2-200000000000000000000000000−2i−2i2i2i000000002i−2i000000
χ372-2222-2-2-222-2-222-222-2-2-22-22-22-22-200002-20002-22-22-20000000000000000000000000000000
χ382-2222-2-2-222-2-222-222-2-2-22-22-22-22-20000-22000-22-22-220000000000000000000000000000000
χ392-2222-2-2-222-2-222-222-2-2-2-22-22-22-2200002-20002-2-22-220000000000000000000000000000000
χ402-2222-2-2-222-2-222-222-2-2-2-22-22-22-220000-22000-222-22-20000000000000000000000000000000
χ412-2222-2-2-222-2-2-2-22-2-22220000000000000002i−2i002-2-222i−2i02i−2i2i−2i000000000000000000000000
χ422-2222-2-2-222-2-2-2-22-2-22220000000000000002i−2i00-222-2−2i2i02i−2i−2i2i000000000000000000000000
χ432-2222-2-2-222-2-2-2-22-2-2222000000000000000−2i2i002-2-22−2i2i0−2i2i−2i2i000000000000000000000000
χ442-2222-2-2-222-2-2-2-22-2-2222000000000000000−2i2i00-222-22i−2i0−2i2i2i−2i000000000000000000000000
χ452-2222-2-2-2-2-22222-2-2-222-22-22-2-22-220000000000000002i−2i000−2i2i2i−2i2i−2i00000000000000000000
χ462-2222-2-2-2-2-22222-2-2-222-22-22-2-22-22000000000000000−2i2i0002i−2i−2i2i−2i2i00000000000000000000
χ472-2222-2-2-2-2-22222-2-2-222-2-22-222-22-20000000000000002i−2i000−2i2i−2i2i−2i2i00000000000000000000
χ482-2222-2-2-2-2-22222-2-2-222-2-22-222-22-2000000000000000−2i2i0002i−2i2i−2i2i−2i00000000000000000000
χ492-2222-2-2-2-2-222-2-2222-2-220000000000002-202i−2i-220000000−2i2i002i−2i−2i2i00000000000000000000
χ502-2222-2-2-2-2-222-2-2222-2-220000000000002-20−2i2i-2200000002i−2i00−2i2i2i−2i00000000000000000000
χ512-2222-2-2-2-2-222-2-2222-2-22000000000000-2202i−2i2-20000000−2i2i00−2i2i2i−2i00000000000000000000
χ522-2222-2-2-2-2-222-2-2222-2-22000000000000-220−2i2i2-200000002i−2i002i−2i−2i2i00000000000000000000
χ532-2-22-22-222-2-222-222-2-22-22-2-222-2-220000000000000000000000000000000000002i−2i0000002i−2i
χ542-2-22-22-222-2-222-222-2-22-22-2-222-2-22000000000000000000000000000000000000−2i2i000000−2i2i
χ552-2-22-22-222-2-222-222-2-22-2-222-2-222-20000000000000000000000000000000000002i−2i000000−2i2i
χ562-2-22-22-222-2-222-222-2-22-2-222-2-222-2000000000000000000000000000000000000−2i2i0000002i−2i
χ572-2-22-22-22-222-22-22-222-2-22-2-22-222-200000000000000000000000000000000002i−2i0000002i−2i00
χ582-2-22-22-22-222-22-22-222-2-22-2-22-222-20000000000000000000000000000000000−2i2i000000−2i2i00
χ592-2-22-22-22-222-22-22-222-2-2-222-22-2-2200000000000000000000000000000000002i−2i000000−2i2i00
χ602-2-22-22-22-222-22-22-222-2-2-222-22-2-220000000000000000000000000000000000−2i2i0000002i−2i00
χ61444-4-44-4-4000000000000000000004-40000000000000000000000002-22-22-22-2000000000000
χ62444-4-44-4-4000000000000000000004-4000000000000000000000000-22-22-22-22000000000000
χ63444-4-44-4-400000000000000000000-440000000000000000000000002-22-2-22-22000000000000
χ64444-4-44-4-400000000000000000000-44000000000000000000000000-22-222-22-2000000000000
χ6544-44-4-44-44-44-4-444-44-44-4000000000000000000000000000000000000000000000000000000
χ6644-44-4-44-4-44-44-4444-44-4-4000000000000000000000000000000000000000000000000000000
χ6744-4-44-4-4400000000000000000000004-400000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ6844-4-44-4-4400000000000000000000004-40000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ6944-4-44-4-440000000000000000000000-4400000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ7044-4-44-4-440000000000000000000000-440000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ714-4-44-44-444-4-44-44-4-444-44000000000000000000000000000000000000000000000000000000
χ724-4-44-44-44-444-4-44-44-4-444000000000000000000000000000000000000000000000000000000
χ738-88-8-8-888000000000000000000000000000000000000000000000000000000000000000000
χ748-8-8-8888-8000000000000000000000000000000000000000000000000000000000000000000

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