Finite Group Databasebeta

← Group #395580

Character table — Group #395580

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222222244444488888888888888888888888888888888161616161616161616161616
order12222222222244444444444422224422224444444444448888888888888888244444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11
χ6111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-111-1
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-1
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11111-1-11
χ9111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11-111-1-11-11
χ10111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1111-1-1-11-1
χ11111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-11-1-111-11-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-11-1-1-1111-11
χ13111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-11-1-111-111
χ14111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1111-1-1
χ15111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1111-111-1-11-1-1
χ16111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1-1111-1-1-111
χ17222222222222-2-2-2-2-2-22222-2-2-2-2-2-22222-2-222-2-2000000000000000000000000000000000000
χ18222222222222-2-2-2-2-2-22222-2-2-2-2-2-222-2-222-2-222000000000000000000000000000000000000
χ19222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-2-2-2-222000000000000000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000000000000000
χ2122222222-2-2-2-2222-2-2-222222-222-2-2-2-200000000000000000000000000000000000220000-2-20
χ2222222222-2-2-2-2222-2-2-222222-222-2-2-2-200000000000000000000000000000000000-2-20000220
χ2322222222-2-2-2-2222-2-2-2-2-2-2-22-2-2-22222000000000000000000000000000000000002-20000-220
χ2422222222-2-2-2-2222-2-2-2-2-2-2-22-2-2-2222200000000000000000000000000000000000-2200002-20
χ2522222222-2-2-2-2-2-2-22222222-22-2-222-2-20000000000000000000000000000000022-200000000-2
χ2622222222-2-2-2-2-2-2-22222222-22-2-222-2-200000000000000000000000000000000-2-22000000002
χ2722222222-2-2-2-2-2-2-2222-2-2-2-2-2222-2-222000000000000000000000000000000002-2200000000-2
χ2822222222-2-2-2-2-2-2-2222-2-2-2-2-2222-2-22200000000000000000000000000000000-22-2000000002
χ29222-2-2-2-2222-2-222-22-2-222-2-2-222-22-22-2000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ30222-2-2-2-2222-2-222-22-2-222-2-2-222-22-22-200000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ31222-2-2-2-2222-2-222-22-2-2-2-222-22-22-22-22000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ32222-2-2-2-2222-2-222-22-2-2-2-222-22-22-22-2200000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ33222-2-2-2-2222-2-2-2-22-22222-2-22-2-22-222-200000000000000000000000000000000000002i−2i2i−2i000
χ34222-2-2-2-2222-2-2-2-22-22222-2-22-2-22-222-20000000000000000000000000000000000000−2i2i−2i2i000
χ35222-2-2-2-2222-2-2-2-22-222-2-2222-22-22-2-2200000000000000000000000000000000000002i−2i−2i2i000
χ36222-2-2-2-2222-2-2-2-22-222-2-2222-22-22-2-220000000000000000000000000000000000000−2i2i2i−2i000
χ37222-2-2-2-22-2-22222-2-22222-2-2-2-22-2-22-220000000000000000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ38222-2-2-2-22-2-22222-2-22222-2-2-2-22-2-22-22000000000000000000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ39222-2-2-2-22-2-22222-2-222-2-222-2-2-222-22-20000000000000000000000002i2i−2i−2i−2i−2i2i2i000000000000
χ40222-2-2-2-22-2-22222-2-222-2-222-2-2-222-22-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ41222-2-2-2-22-2-222-2-222-2-222-2-222-222-2-22000000000000000022-2-222-2-200000000000000000000
χ42222-2-2-2-22-2-222-2-222-2-222-2-222-222-2-220000000000000000-2-222-2-22200000000000000000000
χ43222-2-2-2-22-2-222-2-222-2-2-2-222222-2-222-2000000000000000022-2-2-2-22200000000000000000000
χ44222-2-2-2-22-2-222-2-222-2-2-2-222222-2-222-20000000000000000-2-22222-2-200000000000000000000
χ452-2-22-22-222-22-22-2222-20000-2-200000000002-22-20000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ462-2-22-22-222-22-22-2222-20000-2-200000000002-22-2000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ472-2-22-22-222-22-22-2222-20000-2-20000000000-22-220000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ482-2-22-22-222-22-22-2222-20000-2-20000000000-22-22000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ492-2-22-22-222-22-2-22-2-2-2200002200000000002-2-22000000002-22-2000000002-22-2000000000000
χ502-2-22-22-222-22-2-22-2-2-2200002200000000002-2-2200000000-22-2200000000-22-22000000000000
χ512-2-22-22-222-22-2-22-2-2-220000220000000000-222-2000000002-22-200000000-22-22000000000000
χ522-2-22-22-222-22-2-22-2-2-220000220000000000-222-200000000-22-22000000002-22-2000000000000
χ532-2-2-22-222-222-22-2-2-22-20000220000002-22-20000000000002-2-2200002-2-220000000000000000
χ542-2-2-22-222-222-22-2-2-22-20000220000002-22-2000000000000-222-20000-222-20000000000000000
χ552-2-2-22-222-222-22-2-2-22-2000022000000-22-220000000000002-2-220000-222-20000000000000000
χ562-2-2-22-222-222-22-2-2-22-2000022000000-22-22000000000000-222-200002-2-220000000000000000
χ572-2-2-22-222-222-2-2222-220000-2-20000002-2-2200000000000000002i−2i−2i2i00002i−2i−2i2i000000000000
χ582-2-2-22-222-222-2-2222-220000-2-20000002-2-220000000000000000−2i2i2i−2i0000−2i2i2i−2i000000000000
χ592-2-2-22-222-222-2-2222-220000-2-2000000-222-200000000000000002i−2i−2i2i0000−2i2i2i−2i000000000000
χ602-2-2-22-222-222-2-2222-220000-2-2000000-222-20000000000000000−2i2i2i−2i00002i−2i−2i2i000000000000
χ6144-44-4-44-400000000004i−4i4i−4i00000000000000002-22-22i−2i2i−2i0000000000000000000000000000
χ6244-44-4-44-400000000004i−4i4i−4i0000000000000000-22-22−2i2i−2i2i0000000000000000000000000000
χ6344-44-4-44-40000000000−4i4i−4i4i00000000000000002-22-2−2i2i−2i2i0000000000000000000000000000
χ6444-44-4-44-40000000000−4i4i−4i4i0000000000000000-22-222i−2i2i−2i0000000000000000000000000000
χ6544-4-444-4-400000000004i−4i−4i4i00000000000000002i−2i−2i2i-222-20000000000000000000000000000
χ6644-4-444-4-400000000004i−4i−4i4i0000000000000000−2i2i2i−2i2-2-220000000000000000000000000000
χ6744-4-444-4-40000000000−4i4i4i−4i00000000000000002i−2i−2i2i2-2-220000000000000000000000000000
χ6844-4-444-4-40000000000−4i4i4i−4i0000000000000000−2i2i2i−2i-222-20000000000000000000000000000
χ694-4-44-44-44-44-444-44-4-440000-4400000000000000000000000000000000000000000000000000
χ704-4-44-44-44-44-44-44-444-400004-400000000000000000000000000000000000000000000000000
χ714-4-4-44-4444-4-444-4-44-4400004-400000000000000000000000000000000000000000000000000
χ724-4-4-44-4444-4-44-444-44-40000-4400000000000000000000000000000000000000000000000000
χ738-8888-8-8-8000000000000000000000000000000000000000000000000000000000000000000
χ748-88-8-888-8000000000000000000000000000000000000000000000000000000000000000000

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