Finite Group Databasebeta

← Group #395097

Character table — Group #395097

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111111112222222222222222222244444444444444444444888888888888888816161616161616161616161616161616
order12222222222244444444444444444444444444444444444422224444444444442244444488888888
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
χ9111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-1111-111-1-111-1-1
χ10111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-1-1-11-1-111-1-111
χ11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ12111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ13111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1111-1-1-111-1-111
χ14111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1111-1-1-1111-1-111-1-1
χ15111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ1722222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022-2-222-2-2000000000000000000000000
χ1822222222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-222-2-222000000000000000000000000
χ19222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000022-2-2-2-222000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-2-22222-2-2000000000000000000000000
χ2122222222-2-2-2-22222-2-2-2-222-2-222-2-222-2-20000000000000000000000000000000002002-20-200000000
χ2222222222-2-2-2-22222-2-2-2-222-2-222-2-222-2-2000000000000000000000000000000000-200-220200000000
χ2322222222-2-2-2-22222-2-2-2-2-2-222-2-222-2-22200000000000000000000000000000000202-200-2000000000
χ2422222222-2-2-2-22222-2-2-2-2-2-222-2-222-2-22200000000000000000000000000000000-20-22002000000000
χ2522222222-2-2-2-2-2-2-2-2222222-2-222-2-2-2-222000000000000000000000000000000000200-220-200000000
χ2622222222-2-2-2-2-2-2-2-2222222-2-222-2-2-2-222000000000000000000000000000000000-2002-20200000000
χ2722222222-2-2-2-2-2-2-2-22222-2-222-2-22222-2-20000000000000000000000000000000020-2200-2000000000
χ2822222222-2-2-2-2-2-2-2-22222-2-222-2-22222-2-200000000000000000000000000000000-202-2002000000000
χ29222-2-2-2-222-22-22i2i−2i−2i2i2i−2i−2i2-22-22-22-22i−2i2i−2i000000000000000000000000000000000000000000002i−2i2-2
χ30222-2-2-2-222-22-22i2i−2i−2i2i2i−2i−2i2-22-22-22-22i−2i2i−2i00000000000000000000000000000000000000000000−2i2i-22
χ31222-2-2-2-222-22-22i2i−2i−2i2i2i−2i−2i-22-22-22-22−2i2i−2i2i00000000000000000000000000000000000000002-22i−2i0000
χ32222-2-2-2-222-22-22i2i−2i−2i2i2i−2i−2i-22-22-22-22−2i2i−2i2i0000000000000000000000000000000000000000-22−2i2i0000
χ33222-2-2-2-222-22-2−2i−2i2i2i−2i−2i2i2i2-22-22-22-2−2i2i−2i2i000000000000000000000000000000000000000000002i−2i-22
χ34222-2-2-2-222-22-2−2i−2i2i2i−2i−2i2i2i2-22-22-22-2−2i2i−2i2i00000000000000000000000000000000000000000000−2i2i2-2
χ35222-2-2-2-222-22-2−2i−2i2i2i−2i−2i2i2i-22-22-22-222i−2i2i−2i00000000000000000000000000000000000000002-2−2i2i0000
χ36222-2-2-2-222-22-2−2i−2i2i2i−2i−2i2i2i-22-22-22-222i−2i2i−2i0000000000000000000000000000000000000000-222i−2i0000
χ37222-2-2-2-22-22-222i2i−2i−2i−2i−2i2i2i2-2-222-2-222i−2i−2i2i2i2i2i2i−2i−2i−2i−2i2222-2-2-2-200000000000000000000000000000000
χ38222-2-2-2-22-22-222i2i−2i−2i−2i−2i2i2i2-2-222-2-222i−2i−2i2i−2i−2i−2i−2i2i2i2i2i-2-2-2-2222200000000000000000000000000000000
χ39222-2-2-2-22-22-222i2i−2i−2i−2i−2i2i2i-222-2-222-2−2i2i2i−2i0000000000000000000000002i2i−2i−2i22-2-20000000000000000
χ40222-2-2-2-22-22-222i2i−2i−2i−2i−2i2i2i-222-2-222-2−2i2i2i−2i000000000000000000000000−2i−2i2i2i-2-2220000000000000000
χ41222-2-2-2-22-22-22−2i−2i2i2i2i2i−2i−2i2-2-222-2-22−2i2i2i−2i2i2i2i2i−2i−2i−2i−2i-2-2-2-2222200000000000000000000000000000000
χ42222-2-2-2-22-22-22−2i−2i2i2i2i2i−2i−2i2-2-222-2-22−2i2i2i−2i−2i−2i−2i−2i2i2i2i2i2222-2-2-2-200000000000000000000000000000000
χ43222-2-2-2-22-22-22−2i−2i2i2i2i2i−2i−2i-222-2-222-22i−2i−2i2i0000000000000000000000002i2i−2i−2i-2-2220000000000000000
χ44222-2-2-2-22-22-22−2i−2i2i2i2i2i−2i−2i-222-2-222-22i−2i−2i2i000000000000000000000000−2i−2i2i2i22-2-20000000000000000
χ452-2-222-2-222-2-22000000002222-2-2-2-200002i2i−2i−2i2i2i−2i−2i000000002-22-200002i−2i2i−2i00000000000000000000
χ462-2-222-2-222-2-22000000002222-2-2-2-200002i2i−2i−2i2i2i−2i−2i00000000-22-220000−2i2i−2i2i00000000000000000000
χ472-2-222-2-222-2-22000000002222-2-2-2-20000−2i−2i2i2i−2i−2i2i2i000000002-22-20000−2i2i−2i2i00000000000000000000
χ482-2-222-2-222-2-22000000002222-2-2-2-20000−2i−2i2i2i−2i−2i2i2i00000000-22-2200002i−2i2i−2i00000000000000000000
χ492-2-222-2-222-2-2200000000-2-2-2-2222200000000000022-2-222-2-22-2-22000000002-22-20000000000000000
χ502-2-222-2-222-2-2200000000-2-2-2-2222200000000000022-2-222-2-2-222-200000000-22-220000000000000000
χ512-2-222-2-222-2-2200000000-2-2-2-22222000000000000-2-222-2-2222-2-2200000000-22-220000000000000000
χ522-2-222-2-222-2-2200000000-2-2-2-22222000000000000-2-222-2-222-222-2000000002-22-20000000000000000
χ532-2-2-2-2222-2-222000000002-2-22-222-2000022-2-2-2-2220000000000002-22-200002-2-220000000000000000
χ542-2-2-2-2222-2-222000000002-2-22-222-2000022-2-2-2-222000000000000-22-220000-222-20000000000000000
χ552-2-2-2-2222-2-222000000002-2-22-222-20000-2-22222-2-20000000000002-22-20000-222-20000000000000000
χ562-2-2-2-2222-2-222000000002-2-22-222-20000-2-22222-2-2000000000000-22-2200002-2-220000000000000000
χ572-2-2-2-2222-2-22200000000-222-22-2-2200000000000022-2-2-2-22200002-2-222-2-2200000000000000000000
χ582-2-2-2-2222-2-22200000000-222-22-2-2200000000000022-2-2-2-2220000-222-2-222-200000000000000000000
χ592-2-2-2-2222-2-22200000000-222-22-2-22000000000000-2-22222-2-200002-2-22-222-200000000000000000000
χ602-2-2-2-2222-2-22200000000-222-22-2-22000000000000-2-22222-2-20000-222-22-2-2200000000000000000000
χ6144-44-44-4-4000000004-44-40000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ6244-44-44-4-4000000004-44-4000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ6344-44-44-4-400000000-44-440000000000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ6444-44-44-4-400000000-44-44000000000000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ6544-4-44-44-4000000004i−4i−4i4i0000000000002-22-2-22-222i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ6644-4-44-44-4000000004i−4i−4i4i000000000000-22-222-22-2−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ6744-4-44-44-400000000−4i4i4i−4i0000000000002-22-2-22-22−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ6844-4-44-44-400000000−4i4i4i−4i000000000000-22-222-22-22i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ694-444-4-44-400004i−4i4i−4i00000000000000002-2-222-2-222i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ704-444-4-44-400004i−4i4i−4i0000000000000000-222-2-222-2−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ714-444-4-44-40000−4i4i−4i4i00000000000000002-2-222-2-22−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ724-444-4-44-40000−4i4i−4i4i0000000000000000-222-2-222-22i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ734-44-444-4-400004-4-4400000000000000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ744-44-444-4-400004-4-440000000000000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ754-44-444-4-40000-444-400000000000000002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ764-44-444-4-40000-444-40000000000000000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ774-4-444-4-44-444-40000000044-4-4-4-4440000000000000000000000000000000000000000000000000000
χ784-4-444-4-44-444-400000000-4-44444-4-40000000000000000000000000000000000000000000000000000
χ794-4-4-4-444444-4-4000000004-44-4-44-440000000000000000000000000000000000000000000000000000
χ804-4-4-4-444444-4-400000000-44-444-44-40000000000000000000000000000000000000000000000000000

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