Finite Group Databasebeta

← Group #455666

Character table — Group #455666

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111111111112222222244448888888888888888888888888888888888161616161616161616161616
order12222222222222224444444422222244444444444444448888888888888888224444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ51111111111111111111111111111-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ81111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ9111111111111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ10111111111111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111
χ11111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ12111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ14111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ15111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ172222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2000000000000000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-222000000000000000000000000000000000000
χ192222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2000000000000000000000000000000000000
χ202222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-22222000000000000000000000000000000000000
χ2122222-2-2-2-22-2-2-2-222222-22-2-2-200000000000000000022-2-2000000002i2i−2i−2i000000000000002i−2i
χ2222222-2-2-2-22-2-2-2-222222-22-2-2-200000000000000000022-2-200000000−2i−2i2i2i00000000000000−2i2i
χ2322222-2-2-2-22-2-2-2-222222-22-2-2-2000000000000000000-2-222000000002i2i−2i−2i00000000000000−2i2i
χ2422222-2-2-2-22-2-2-2-222222-22-2-2-2000000000000000000-2-22200000000−2i−2i2i2i000000000000002i−2i
χ252222-2-2-22-2-2222-2-2-20000000022-2-22-22-200000000000000i2i2−i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i2000000000000
χ262222-2-2-22-2-2222-2-2-20000000022-2-22-22-200000000000000−i2−i2i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i2000000000000
χ272222-2-2-22-2-2222-2-2-20000000022-2-2-22-2200000000000000i2i2−i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i2000000000000
χ282222-2-2-22-2-2222-2-2-20000000022-2-2-22-2200000000000000−i2−i2i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i2000000000000
χ292222-2-2-22-2-2222-2-2-200000000-2-2222-2-2200000000000000i2i2−i2−i2−i2−i2i2i2i2−i2i2−i2−i2−i2i2i2000000000000
χ302222-2-2-22-2-2222-2-2-200000000-2-2222-2-2200000000000000−i2−i2i2i2i2i2−i2−i2−i2i2−i2i2i2i2−i2−i2000000000000
χ312222-2-2-22-2-2222-2-2-200000000-2-222-222-200000000000000i2i2−i2−i2−i2−i2i2i2−i2i2−i2i2i2i2−i2−i2000000000000
χ322222-2-2-22-2-2222-2-2-200000000-2-222-222-200000000000000−i2−i2i2i2i2i2−i2−i2i2−i2i2−i2−i2−i2i2i2000000000000
χ3322-2-222-222-22-2-2-22-222-2-2-222-22-22-20000002-2002i2i−2i−2i2i−2i2i−2i0000000000000000000000000000
χ3422-2-222-222-22-2-2-22-222-2-2-222-22-22-20000002-200−2i−2i2i2i−2i2i−2i2i0000000000000000000000000000
χ3522-2-222-222-22-2-2-22-222-2-2-222-2-22-22000000-22002i2i−2i−2i−2i2i−2i2i0000000000000000000000000000
χ3622-2-222-222-22-2-2-22-222-2-2-222-2-22-22000000-2200−2i−2i2i2i2i−2i2i−2i0000000000000000000000000000
χ3722-2-222-222-22-2-2-22-2-2-2222-2-222-22-2000000-2200000000000000000000000000002i−2i2i−2i000000
χ3822-2-222-222-22-2-2-22-2-2-2222-2-222-22-2000000-220000000000000000000000000000−2i2i−2i2i000000
χ3922-2-222-222-22-2-2-22-2-2-2222-2-22-22-220000002-200000000000000000000000000002i−2i−2i2i000000
χ4022-2-222-222-22-2-2-22-2-2-2222-2-22-22-220000002-20000000000000000000000000000−2i2i2i−2i000000
χ4122-2-22-22-2-2-2-22222-222-22-2-2-220000000000000000002i−2i−2i2i0000000000002i−2i2i−2i000000002-200
χ4222-2-22-22-2-2-2-22222-222-22-2-2-220000000000000000002i−2i−2i2i000000000000−2i2i−2i2i00000000-2200
χ4322-2-22-22-2-2-2-22222-222-22-2-2-22000000000000000000−2i2i2i−2i0000000000002i−2i2i−2i00000000-2200
χ4422-2-22-22-2-2-2-22222-222-22-2-2-22000000000000000000−2i2i2i−2i000000000000−2i2i−2i2i000000002-200
χ452-22-2-222-2-2222-2-22-22-222-22-2-2000000000000002i−2i2i−2i000000002i−2i2i−2i000000000000002-20000
χ462-22-2-222-2-2222-2-22-22-222-22-2-2000000000000002i−2i2i−2i00000000−2i2i−2i2i00000000000000-220000
χ472-22-2-222-2-2222-2-22-22-222-22-2-200000000000000−2i2i−2i2i000000002i−2i2i−2i00000000000000-220000
χ482-22-2-222-2-2222-2-22-22-222-22-2-200000000000000−2i2i−2i2i00000000−2i2i−2i2i000000000000002-20000
χ492-2-22-22-2-2-2-22-222222-2-2-222-22000000000000002-2-2200002-22-20000000000002-20000000000
χ502-2-22-22-2-2-2-22-222222-2-2-222-22000000000000002-2-220000-22-22000000000000-220000000000
χ512-2-22-22-2-2-2-22-222222-2-2-222-2200000000000000-222-200002-22-2000000000000-220000000000
χ522-2-22-22-2-2-2-22-222222-2-2-222-2200000000000000-222-20000-22-220000000000002-20000000000
χ5344444-4-4-4-44-4-4-4-444-4-4-44-444400000000000000000000000000000000000000000000000000
χ544444-444-44-4-4-4-44-4-40000000000000000000000000000000000000022−22−22220000000000000000
χ554444-444-44-4-4-4-44-4-400000000000000000000000000000000000000−222222−220000000000000000
χ5644-4-44-44-4-4-4-44444-4-4-44-4444-400000000000000000000000000000000000000000000000000
χ5744-4-4-44-4-444-444-4-4400000000000000000000000000000000000000000022−22−2222000000000000
χ5844-4-4-44-4-444-444-4-44000000000000000000000000000000000000000000−222222−22000000000000
χ5944-4-4-4-444-444-4-44-44000000004-4-440000000000000000000000000000000000000000000000
χ6044-4-4-4-444-444-4-44-4400000000-444-40000000000000000000000000000000000000000000000
χ614-44-44444-4-4-4-44-4-4400000000000000004i−4i0000000000000000000000000000000000000000
χ624-44-44444-4-4-4-44-4-440000000000000000−4i4i0000000000000000000000000000000000000000
χ634-44-44-4-4-44-444-44-44000000000000000000000000000000000022−22−222200000000000000000000
χ644-44-44-4-4-44-444-44-440000000000000000000000000000000000−222222−2200000000000000000000
χ654-44-4-444-4-4444-4-44-4-44-4-44-44400000000000000000000000000000000000000000000000000
χ664-44-4-4-4-4444-4-4444-44-44-4-4-44400000000000000000000000000000000000000000000000000
χ674-44-4-4-4-4444-4-4444-4-44-4444-4-400000000000000000000000000000000000000000000000000
χ684-4-4444-44-44-44-44-4-4000000000000000000004i−4i000000000000000000000000000000000000
χ694-4-4444-44-44-44-44-4-400000000000000000000−4i4i000000000000000000000000000000000000
χ704-4-444-44-4444-44-4-4-40000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ714-4-444-44-4444-44-4-4-4000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ724-4-44-44-4-4-4-44-44444-4444-4-44-400000000000000000000000000000000000000000000000000
χ734-4-44-4-4444-4-44-4-4444-4-444-44-400000000000000000000000000000000000000000000000000
χ744-4-44-4-4444-4-44-4-444-444-4-44-4400000000000000000000000000000000000000000000000000

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