Finite Group Databasebeta

← Group #470293

Character table — Group #470293

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111111111112222222244448888888888888888888888888888888888161616161616161616161616
order12222222222222224444444444442222444444444444448888888888888888444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ51111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1
χ9111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1
χ10111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111
χ11111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ12111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111
χ14111111111111111111111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1
χ15111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ16111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111
χ172222222222222222-2-2-2-2-2-2-2-2222222220000-2-2-2-20000-2-20000000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000022220000-2-20000000000000000000000000000
χ192222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-20000-2-2220000220000000000000000000000000000
χ202222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222000022-2-20000220000000000000000000000000000
χ212222222-2-22-2-2-2-2-2-20000000022-2-22-22-20000000000000022−2−222−2−222−2−222−2−2000000000000
χ222222222-2-22-2-2-2-2-2-20000000022-2-22-22-200000000000000−2−222−2−222−2−222−2−222000000000000
χ232222222-2-22-2-2-2-2-2-20000000022-2-2-22-220000000000000022−2−222−2−2−2−222−2−222000000000000
χ242222222-2-22-2-2-2-2-2-20000000022-2-2-22-2200000000000000−2−222−2−22222−2−222−2−2000000000000
χ252222222-2-22-2-2-2-2-2-200000000-2-2222-2-220000000000000022−2−2−2−22222−2−2−2−222000000000000
χ262222222-2-22-2-2-2-2-2-200000000-2-2222-2-2200000000000000−2−22222−2−2−2−22222−2−2000000000000
χ272222222-2-22-2-2-2-2-2-200000000-2-222-222-20000000000000022−2−2−2−222−2−22222−2−2000000000000
χ282222222-2-22-2-2-2-2-2-200000000-2-222-222-200000000000000−2−22222−2−222−2−2−2−222000000000000
χ292222-2-2-222-2-2-2-222-22-2-2-2222-2000000002i2i−2i−2i00000000000000000000002-22-200000000002i−2i
χ302222-2-2-222-2-2-2-222-22-2-2-2222-2000000002i2i−2i−2i0000000000000000000000-22-220000000000−2i2i
χ312222-2-2-222-2-2-2-222-22-2-2-2222-200000000−2i−2i2i2i00000000000000000000002-22-20000000000−2i2i
χ322222-2-2-222-2-2-2-222-22-2-2-2222-200000000−2i−2i2i2i0000000000000000000000-22-2200000000002i−2i
χ3322-2-222-22-2-222-22-2-2-22-2-222-2200000000000000002i2i−2i−2i0000002-22-2000000002i−2i0000000000
χ3422-2-222-22-2-222-22-2-2-22-2-222-2200000000000000002i2i−2i−2i000000-22-2200000000−2i2i0000000000
χ3522-2-222-22-2-222-22-2-2-22-2-222-220000000000000000−2i−2i2i2i0000002-22-200000000−2i2i0000000000
χ3622-2-222-22-2-222-22-2-2-22-2-222-220000000000000000−2i−2i2i2i000000-22-22000000002i−2i0000000000
χ372-22-22-22-22-22-222-2-2-2-22-22-22200000000000000002i−2i2i−2i002-22-2000000000000002i−2i00000000
χ382-22-22-22-22-22-222-2-2-2-22-22-22200000000000000002i−2i2i−2i00-22-2200000000000000−2i2i00000000
χ392-22-22-22-22-22-222-2-2-2-22-22-2220000000000000000−2i2i−2i2i002-22-200000000000000−2i2i00000000
χ402-22-22-22-22-22-222-2-2-2-22-22-2220000000000000000−2i2i−2i2i00-22-22000000000000002i−2i00000000
χ412-2-222-2-2-2-222-2-22222-2-222-2-222-22-200002-22-200002-2-222-20000000000000000000000000000
χ422-2-222-2-2-2-222-2-22222-2-222-2-222-22-20000-22-220000-222-22-20000000000000000000000000000
χ432-2-222-2-2-2-222-2-22222-2-222-2-22-22-2200002-22-20000-222-2-220000000000000000000000000000
χ442-2-222-2-2-2-222-2-22222-2-222-2-22-22-220000-22-2200002-2-22-220000000000000000000000000000
χ452-2-222-2-2-2-222-2-2222-222-2-222-22-22-20000000000000000-2200000000000000000000002-22-200
χ462-2-222-2-2-2-222-2-2222-222-2-222-22-22-20000000000000000-220000000000000000000000-22-2200
χ472-2-222-2-2-2-222-2-2222-222-2-222-2-22-2200000000000000002-200000000000000000000002-2-2200
χ482-2-222-2-2-2-222-2-2222-222-2-222-2-22-2200000000000000002-20000000000000000000000-222-200
χ492-2-22-222-2-2-2-22222-2222-22-2-2-2000000002i−2i−2i2i0000000000000000002i−2i2i−2i000000002-2000000
χ502-2-22-222-2-2-2-22222-2222-22-2-2-2000000002i−2i−2i2i000000000000000000−2i2i−2i2i00000000-22000000
χ512-2-22-222-2-2-2-22222-2222-22-2-2-200000000−2i2i2i−2i0000000000000000002i−2i2i−2i00000000-22000000
χ522-2-22-222-2-2-2-22222-2222-22-2-2-200000000−2i2i2i−2i000000000000000000−2i2i−2i2i000000002-2000000
χ534444-4-4-444-4-4-4-444-4-4444-4-4-4400000000000000000000000000000000000000000000000000
χ544444-4-4-4-4-4-4444-4-4400000000000000000000000000000000000000000022−22−2222000000000000
χ554444-4-4-4-4-4-4444-4-44000000000000000000000000000000000000000000−222222−22000000000000
χ5644-4-444-44-4-444-44-4-44-444-4-44-400000000000000000000000000000000000000000000000000
χ5744-4-444-4-44-4-4-44-444000000000000000000000000000000000022−22−222200000000000000000000
χ5844-4-444-4-44-4-4-44-4440000000000000000000000000000000000−222222−2200000000000000000000
χ5944-4-4-4-444-44-4-444-4444-4-4-4-44400000000000000000000000000000000000000000000000000
χ6044-4-4-4-444-44-4-444-44-4-44444-4-400000000000000000000000000000000000000000000000000
χ6144-4-4-4-44-44444-4-44-4000000000000000000004i−4i000000000000000000000000000000000000
χ6244-4-4-4-44-44444-4-44-400000000000000000000−4i4i000000000000000000000000000000000000
χ634-44-44-444-4-4-44-4-44400000000000000000000000000000022−22−2222000000000000000000000000
χ644-44-44-444-4-4-44-4-444000000000000000000000000000000−222222−22000000000000000000000000
χ654-44-44-44-44-44-444-4-444-44-44-4-400000000000000000000000000000000000000000000000000
χ664-44-4-44-44-444-44-44-400000000000000000000004i−4i0000000000000000000000000000000000
χ674-44-4-44-44-444-44-44-40000000000000000000000−4i4i0000000000000000000000000000000000
χ684-44-4-44-4-444-44-44-444-44-4-44-4400000000000000000000000000000000000000000000000000
χ694-44-4-44-4-444-44-44-44-44-444-44-400000000000000000000000000000000000000000000000000
χ704-4-444-4-4444-444-4-4-4000000004-4-440000000000000000000000000000000000000000000000
χ714-4-444-4-4444-444-4-4-400000000-444-40000000000000000000000000000000000000000000000
χ724-4-44-44444-44-4-4-4-44000000000000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ734-4-44-44444-44-4-4-4-4400000000000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ744-4-44-444-4-4-4-44444-4-4-4-44-444400000000000000000000000000000000000000000000000000

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