Finite Group Databasebeta

← Group #395839

Character table — Group #395839

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222444444444444888888888888888888888888888888161616161616161616161616
order12222222222244444444222222224444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-1
χ911111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ1011111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111
χ1211111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ17222222222222-2-2-2-2-2-2-2-22222-2-2-2-2222200000000-2-222-2-20000000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000022-2-2220000000000000000000000000000
χ19222222222222-2-2-2-2-2-2-2-2-2-2-2-22222222200000000-2-2-2-2220000000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2000000002222-2-20000000000000000000000000000
χ2122222222-2-2-2-2222-2-2-22-20000000022-2-2000022-2-22-20000000022-2-200000000000000000000
χ2222222222-2-2-2-2222-2-2-22-20000000022-2-20000-2-2222-200000000-2-22200000000000000000000
χ2322222222-2-2-2-2222-2-2-22-200000000-2-222000022-2-2-2200000000-2-22200000000000000000000
χ2422222222-2-2-2-2222-2-2-22-200000000-2-2220000-2-222-220000000022-2-200000000000000000000
χ2522222222-2-2-2-2-2-2-2222-220000000022-2-222-2-20000-22000022-2-2000000000000000000000000
χ2622222222-2-2-2-2-2-2-2222-220000000022-2-2-2-2220000-220000-2-222000000000000000000000000
χ2722222222-2-2-2-2-2-2-2222-2200000000-2-22222-2-200002-20000-2-222000000000000000000000000
χ2822222222-2-2-2-2-2-2-2222-2200000000-2-222-2-22200002-2000022-2-2000000000000000000000000
χ292222-2-2-2-22-22-222-222-2-2-222-2-222-2-20000000000000000000000000022-2-200002-20000000000
χ302222-2-2-2-22-22-222-222-2-2-222-2-222-2-200000000000000000000000000-2-2220000-220000000000
χ312222-2-2-2-22-22-222-222-2-2-2-2-222-2-2220000000000000000000000000022-2-20000-220000000000
χ322222-2-2-2-22-22-222-222-2-2-2-2-222-2-22200000000000000000000000000-2-22200002-20000000000
χ332222-2-2-2-22-22-2-2-22-2-222222-2-2-2-2220000000000000000000000000000002i2i−2i−2i002i−2i00000000
χ342222-2-2-2-22-22-2-2-22-2-222222-2-2-2-222000000000000000000000000000000−2i−2i2i2i00−2i2i00000000
χ352222-2-2-2-22-22-2-2-22-2-2222-2-22222-2-20000000000000000000000000000002i2i−2i−2i00−2i2i00000000
χ362222-2-2-2-22-22-2-2-22-2-2222-2-22222-2-2000000000000000000000000000000−2i−2i2i2i002i−2i00000000
χ372-22-222-2-222-2-22-222-22-2-22-22-22-22-200002-22-22-22-20000000000000000000000000000000000
χ382-22-222-2-222-2-22-222-22-2-22-22-22-22-20000-22-22-22-220000000000000000000000000000000000
χ392-22-222-2-222-2-22-222-22-2-2-22-22-22-2200002-22-2-22-220000000000000000000000000000000000
χ402-22-222-2-222-2-22-222-22-2-2-22-22-22-220000-22-222-22-20000000000000000000000000000000000
χ412-22-222-2-222-2-2-22-2-22-2222-22-2-22-220000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ422-22-222-2-222-2-2-22-2-22-2222-22-2-22-22000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ432-22-222-2-222-2-2-22-2-22-222-22-222-22-20000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ442-22-222-2-222-2-2-22-2-22-222-22-222-22-2000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ452-22-222-2-2-2-2222-22-22-2-2200000000000000002-2-22002i−2i2i−2i2i−2i−2i2i000000000000000000000000
χ462-22-222-2-2-2-2222-22-22-2-2200000000000000002-2-2200−2i2i−2i2i−2i2i2i−2i000000000000000000000000
χ472-22-222-2-2-2-2222-22-22-2-220000000000000000-222-2002i−2i2i−2i−2i2i2i−2i000000000000000000000000
χ482-22-222-2-2-2-2222-22-22-2-220000000000000000-222-200−2i2i−2i2i2i−2i−2i2i000000000000000000000000
χ492-22-222-2-2-2-222-22-22-222-20000000000002-2-220000002i−2i−2i2i00002i−2i−2i2i00000000000000000000
χ502-22-222-2-2-2-222-22-22-222-20000000000002-2-22000000−2i2i2i−2i0000−2i2i2i−2i00000000000000000000
χ512-22-222-2-2-2-222-22-22-222-2000000000000-222-20000002i−2i−2i2i0000−2i2i2i−2i00000000000000000000
χ522-22-222-2-2-2-222-22-22-222-2000000000000-222-2000000−2i2i2i−2i00002i−2i−2i2i00000000000000000000
χ532-22-2-2-2222-2-222-2-22-2-2222-2-222-2-22000000000000000000000000000000000000002-22-20000
χ542-22-2-2-2222-2-222-2-22-2-2222-2-222-2-2200000000000000000000000000000000000000-22-220000
χ552-22-2-2-2222-2-222-2-22-2-222-222-2-222-2000000000000000000000000000000000000002-2-220000
χ562-22-2-2-2222-2-222-2-22-2-222-222-2-222-200000000000000000000000000000000000000-222-20000
χ572-22-2-2-2222-2-22-222-222-2-22-2-22-222-20000000000000000000000000000000000000000002i−2i2i−2i
χ582-22-2-2-2222-2-22-222-222-2-22-2-22-222-2000000000000000000000000000000000000000000−2i2i−2i2i
χ592-22-2-2-2222-2-22-222-222-2-2-222-22-2-220000000000000000000000000000000000000000002i−2i−2i2i
χ602-22-2-2-2222-2-22-222-222-2-2-222-22-2-22000000000000000000000000000000000000000000−2i2i2i−2i
χ614444-4-4-4-4-44-4444-4-4-44-44000000000000000000000000000000000000000000000000000000
χ624444-4-4-4-4-44-44-4-4444-44-4000000000000000000000000000000000000000000000000000000
χ6344-4-44-44-400000000000000000000004-400000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000
χ6444-4-44-44-400000000000000000000004-40000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000
χ6544-4-44-44-40000000000000000000000-4400000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000
χ6644-4-44-44-40000000000000000000000-440000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000
χ6744-4-4-44-44000000000000000000004i−4i0000000000000000000000002i−2i−2i2i2-2-22000000000000
χ6844-4-4-44-44000000000000000000004i−4i000000000000000000000000−2i2i2i−2i-222-2000000000000
χ6944-4-4-44-4400000000000000000000−4i4i0000000000000000000000002i−2i−2i2i-222-2000000000000
χ7044-4-4-44-4400000000000000000000−4i4i000000000000000000000000−2i2i2i−2i2-2-22000000000000
χ714-44-4-4-444-444-44-4-4-4444-4000000000000000000000000000000000000000000000000000000
χ724-44-4-4-444-444-4-4444-4-4-44000000000000000000000000000000000000000000000000000000
χ738-8-888-8-88000000000000000000000000000000000000000000000000000000000000000000
χ748-8-88-888-8000000000000000000000000000000000000000000000000000000000000000000

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