Finite Group Databasebeta

← Group #405452

Character table — Group #405452

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111111112222222222222222222244444444444444444444888888888888888816161616161616161616161616161616
order12224444222222222244444444442244444444444444444488888888888888882244444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-1-1-11111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-11-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-111-111111-1-1-1-1
χ91111111111111-1-1-1-11-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1
χ101111111111111-1-1-1-11-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111
χ111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1111-111-1-1-1-111
χ121111111111111-1-1-1-11-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-11-1-11111-1-1
χ131111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111
χ141111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1
χ151111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11-1-1-1111-1-1-11111-1-1
χ161111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1111-1-1-1111-1-1-1-111
χ172222222222-2-2-222-2-2-222-2-222-2-2-2-22-22-2000000000000000000000000000000000000000000002i−2i2i−2i
χ182222222222-2-2-222-2-2-222-2-222-2-2-2-22-22-200000000000000000000000000000000000000000000−2i2i−2i2i
χ192222222222-2-2-2-2-222-2-2-22222-2-2-2-2-22-22000000000000000000000000000000000000000000002i−2i−2i2i
χ202222222222-2-2-2-2-222-2-2-22222-2-2-2-2-22-2200000000000000000000000000000000000000000000−2i2i2i−2i
χ2122222222-2-222-222-2-2-222-2-2-2-222-2-2-22-2200000000000000000000000000000000000000002i−2i2i−2i0000
χ2222222222-2-222-222-2-2-222-2-2-2-222-2-2-22-220000000000000000000000000000000000000000−2i2i−2i2i0000
χ2322222222-2-222-2-2-222-2-2-222-2-222-2-22-22-200000000000000000000000000000000000000002i−2i−2i2i0000
χ2422222222-2-222-2-2-222-2-2-222-2-222-2-22-22-20000000000000000000000000000000000000000−2i2i2i−2i0000
χ2522222222-2-2-2-22222222222-2-2-2-222-2-2-2-2000000000000000022-2-222-2-2000000000000000000000000
χ2622222222-2-2-2-22222222222-2-2-2-222-2-2-2-20000000000000000-2-222-2-222000000000000000000000000
χ2722222222-2-2-2-22-2-2-2-22-2-2-2-2-2-2-2-2222222000000000000000022-2-2-2-222000000000000000000000000
χ2822222222-2-2-2-22-2-2-2-22-2-2-2-2-2-2-2-22222220000000000000000-2-22222-2-2000000000000000000000000
χ292222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-222-2-20000000000000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ302222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-222-2-2000000000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ312222-2-2-2-222222-2-2-2-222222-2-2-2-2-2-2-2-2220000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ322222-2-2-2-222222-2-2-2-222222-2-2-2-2-2-2-2-222000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ332222-2-2-2-222-2-2-222-2-2-2-2-222-2-222222-2-2200000000000000000000000000000000202-200-2000000000
χ342222-2-2-2-222-2-2-222-2-2-2-2-222-2-222222-2-2200000000000000000000000000000000-20-22002000000000
χ352222-2-2-2-222-2-2-2-2-222-222-2-2-2-22222-222-20000000000000000000000000000000020-2200-2000000000
χ362222-2-2-2-222-2-2-2-2-222-222-2-2-2-22222-222-200000000000000000000000000000000-202-2002000000000
χ372222-2-2-2-2-2-222-222-2-2-2-2-22222-2-222-222-20000000000000000000000000000000002002-20-200000000
χ382222-2-2-2-2-2-222-222-2-2-2-2-22222-2-222-222-2000000000000000000000000000000000-200-220200000000
χ392222-2-2-2-2-2-222-2-2-222-222-2-222-2-2222-2-22000000000000000000000000000000000200-220-200000000
χ402222-2-2-2-2-2-222-2-2-222-222-2-222-2-2222-2-22000000000000000000000000000000000-2002-20200000000
χ412222-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-2222222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ422222-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ432222-2-2-2-2-2-2-2-22-2-2-2-2222222222-2-222-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ442222-2-2-2-2-2-2-2-22-2-2-2-2222222222-2-222-2-2-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ452-2-2222-2-22-22-220000-200002-22-22-20000000000002i2i−2i−2i2i2i−2i−2i00002i−2i2i−2i2-22-200000000000000000000
χ462-2-2222-2-22-22-220000-200002-22-22-20000000000002i2i−2i−2i2i2i−2i−2i0000−2i2i−2i2i-22-2200000000000000000000
χ472-2-2222-2-22-22-220000-200002-22-22-2000000000000−2i−2i2i2i−2i−2i2i2i00002i−2i2i−2i-22-2200000000000000000000
χ482-2-2222-2-22-22-220000-200002-22-22-2000000000000−2i−2i2i2i−2i−2i2i2i0000−2i2i−2i2i2-22-200000000000000000000
χ492-2-2222-2-2-22-2220000-20000-22-222-200002i2i−2i−2i2i2i−2i−2i0000000000002i−2i−2i2i00002-22-20000000000000000
χ502-2-2222-2-2-22-2220000-20000-22-222-200002i2i−2i−2i2i2i−2i−2i000000000000−2i2i2i−2i0000-22-220000000000000000
χ512-2-2222-2-2-22-2220000-20000-22-222-20000−2i−2i2i2i−2i−2i2i2i0000000000002i−2i−2i2i0000-22-220000000000000000
χ522-2-2222-2-2-22-2220000-20000-22-222-20000−2i−2i2i2i−2i−2i2i2i000000000000−2i2i2i−2i00002-22-20000000000000000
χ532-2-22-2-2222-22-220000-20000-22-22-2200002i2i−2i−2i−2i−2i2i2i000000002-22-200002i−2i−2i2i00000000000000000000
χ542-2-22-2-2222-22-220000-20000-22-22-2200002i2i−2i−2i−2i−2i2i2i00000000-22-220000−2i2i2i−2i00000000000000000000
χ552-2-22-2-2222-22-220000-20000-22-22-220000−2i−2i2i2i2i2i−2i−2i000000002-22-20000−2i2i2i−2i00000000000000000000
χ562-2-22-2-2222-22-220000-20000-22-22-220000−2i−2i2i2i2i2i−2i−2i00000000-22-2200002i−2i−2i2i00000000000000000000
χ572-2-22-2-222-22-2220000-200002-22-2-220000000000002i2i−2i−2i−2i−2i2i2i2-2-22000000002i−2i−2i2i0000000000000000
χ582-2-22-2-222-22-2220000-200002-22-2-220000000000002i2i−2i−2i−2i−2i2i2i-222-200000000−2i2i2i−2i0000000000000000
χ592-2-22-2-222-22-2220000-200002-22-2-22000000000000−2i−2i2i2i2i2i−2i−2i2-2-2200000000−2i2i2i−2i0000000000000000
χ602-2-22-2-222-22-2220000-200002-22-2-22000000000000−2i−2i2i2i2i2i−2i−2i-222-2000000002i−2i−2i2i0000000000000000
χ6144-4-44i−4i4i−4i00000004-40004i−4i00000000002-22-22i−2i2i−2i2-22-22i−2i2i−2i00000000000000000000000000000000
χ6244-4-44i−4i4i−4i00000004-40004i−4i0000000000-22-22−2i2i−2i2i-22-22−2i2i−2i2i00000000000000000000000000000000
χ6344-4-44i−4i4i−4i0000000-44000−4i4i00000000002-22-22i−2i2i−2i-22-22−2i2i−2i2i00000000000000000000000000000000
χ6444-4-44i−4i4i−4i0000000-44000−4i4i0000000000-22-22−2i2i−2i2i2-22-22i−2i2i−2i00000000000000000000000000000000
χ6544-4-4−4i4i−4i4i00000004-4000−4i4i00000000002-22-2−2i2i−2i2i2-22-2−2i2i−2i2i00000000000000000000000000000000
χ6644-4-4−4i4i−4i4i00000004-4000−4i4i0000000000-22-222i−2i2i−2i-22-222i−2i2i−2i00000000000000000000000000000000
χ6744-4-4−4i4i−4i4i0000000-440004i−4i00000000002-22-2−2i2i−2i2i-22-222i−2i2i−2i00000000000000000000000000000000
χ6844-4-4−4i4i−4i4i0000000-440004i−4i0000000000-22-222i−2i2i−2i2-22-2−2i2i−2i2i00000000000000000000000000000000
χ694-44-44i−4i−4i4i000004-40004i−4i0000000000002i−2i−2i2i-222-22i−2i−2i2i-222-200000000000000000000000000000000
χ704-44-44i−4i−4i4i000004-40004i−4i000000000000−2i2i2i−2i2-2-22−2i2i2i−2i2-2-2200000000000000000000000000000000
χ714-44-44i−4i−4i4i00000-44000−4i4i0000000000002i−2i−2i2i-222-2−2i2i2i−2i2-2-2200000000000000000000000000000000
χ724-44-44i−4i−4i4i00000-44000−4i4i000000000000−2i2i2i−2i2-2-222i−2i−2i2i-222-200000000000000000000000000000000
χ734-44-4−4i4i4i−4i000004-4000−4i4i0000000000002i−2i−2i2i2-2-222i−2i−2i2i2-2-2200000000000000000000000000000000
χ744-44-4−4i4i4i−4i000004-4000−4i4i000000000000−2i2i2i−2i-222-2−2i2i2i−2i-222-200000000000000000000000000000000
χ754-44-4−4i4i4i−4i00000-440004i−4i0000000000002i−2i−2i2i2-2-22−2i2i2i−2i-222-200000000000000000000000000000000
χ764-44-4−4i4i4i−4i00000-440004i−4i000000000000−2i2i2i−2i-222-22i−2i−2i2i2-2-2200000000000000000000000000000000
χ774-4-4444-4-44-4-44-40000400004-4-44-440000000000000000000000000000000000000000000000000000
χ784-4-4444-4-4-444-4-4000040000-444-4-440000000000000000000000000000000000000000000000000000
χ794-4-44-4-4444-4-44-4000040000-444-44-40000000000000000000000000000000000000000000000000000
χ804-4-44-4-444-444-4-40000400004-4-444-40000000000000000000000000000000000000000000000000000

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