Finite Group Databasebeta

← Group #436220

Character table — Group #436220

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111111111112222222244448888888888888888888888888888888888161616161616161616161616
order12222222222222224444444444442244444444444444448888888888888888444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ9111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ10111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111
χ11111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ12111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ14111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1
χ15111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111
χ172222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-200000000-2-20000000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2222200000000-2-20000000000000000000000000000
χ192222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-200000000220000000000000000000000000000
χ202222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-22200000000220000000000000000000000000000
χ21222-222-2222-2-2-2-2-2-222-2-2-22-220000000000002i2i−2i−2i0000000000000022-2-200000000002i−2i0000
χ22222-222-2222-2-2-2-2-2-222-2-2-22-220000000000002i2i−2i−2i00000000000000-2-2220000000000−2i2i0000
χ23222-222-2222-2-2-2-2-2-222-2-2-22-22000000000000−2i−2i2i2i0000000000000022-2-20000000000−2i2i0000
χ24222-222-2222-2-2-2-2-2-222-2-2-22-22000000000000−2i−2i2i2i00000000000000-2-22200000000002i−2i0000
χ2522-22-2-2-222-2222-2-2-22-222-2-2-222i2i−2i−2i00000000000000002i−2i00002i2i−2i−2i000022-2-2000000000000
χ2622-22-2-2-222-2222-2-2-22-222-2-2-222i2i−2i−2i00000000000000002i−2i0000−2i−2i2i2i0000-2-222000000000000
χ2722-22-2-2-222-2222-2-2-22-222-2-2-22−2i−2i2i2i0000000000000000−2i2i00002i2i−2i−2i0000-2-222000000000000
χ2822-22-2-2-222-2222-2-2-22-222-2-2-22−2i−2i2i2i0000000000000000−2i2i0000−2i−2i2i2i000022-2-2000000000000
χ2922-22-2-2-222-2222-2-2-2-22-2-2222-22i2i−2i−2i0000000000000000−2i2i22-2-200002i−2i2i−2i0000000000000000
χ3022-22-2-2-222-2222-2-2-2-22-2-2222-22i2i−2i−2i0000000000000000−2i2i-2-2220000−2i2i−2i2i0000000000000000
χ3122-22-2-2-222-2222-2-2-2-22-2-2222-2−2i−2i2i2i00000000000000002i−2i22-2-20000−2i2i−2i2i0000000000000000
χ3222-22-2-2-222-2222-2-2-2-22-2-2222-2−2i−2i2i2i00000000000000002i−2i-2-22200002i−2i2i−2i0000000000000000
χ3322-2-2-2-2222-2-2-2-2222-2222-22-2-2000000000000000022-2-200000000002i−2i−2i2i000000002i−2i000000
χ3422-2-2-2-2222-2-2-2-2222-2222-22-2-2000000000000000022-2-20000000000−2i2i2i−2i00000000−2i2i000000
χ3522-2-2-2-2222-2-2-2-2222-2222-22-2-20000000000000000-2-22200000000002i−2i−2i2i00000000−2i2i000000
χ3622-2-2-2-2222-2-2-2-2222-2222-22-2-20000000000000000-2-2220000000000−2i2i2i−2i000000002i−2i000000
χ372-22-2-2-222-2222-2-2-22222-2-2-22-200000000000000002i−2i2i−2i000000000000002i−2i2i−2i000000002-200
χ382-22-2-2-222-2222-2-2-22222-2-2-22-200000000000000002i−2i2i−2i00000000000000−2i2i−2i2i00000000-2200
χ392-22-2-2-222-2222-2-2-22222-2-2-22-20000000000000000−2i2i−2i2i000000000000002i−2i2i−2i00000000-2200
χ402-22-2-2-222-2222-2-2-22222-2-2-22-20000000000000000−2i2i−2i2i00000000000000−2i2i−2i2i000000002-200
χ412-2-222222-2-2-2-22-2-222-2-22-222-200002-200002-22i−2i2i−2i00000000000000000000002i−2i0000000000
χ422-2-222222-2-2-2-22-2-222-2-22-222-200002-200002-2−2i2i−2i2i0000000000000000000000−2i2i0000000000
χ432-2-222222-2-2-2-22-2-222-2-22-222-20000-220000-222i−2i2i−2i0000000000000000000000−2i2i0000000000
χ442-2-222222-2-2-2-22-2-222-2-22-222-20000-220000-22−2i2i−2i2i00000000000000000000002i−2i0000000000
χ452-2-222222-2-2-2-22-2-22-222-22-2-2200002-20000-2200002i−2i−2i2i000000000000000000002i−2i00000000
χ462-2-222222-2-2-2-22-2-22-222-22-2-2200002-20000-220000−2i2i2i−2i00000000000000000000−2i2i00000000
χ472-2-222222-2-2-2-22-2-22-222-22-2-220000-2200002-200002i−2i−2i2i00000000000000000000−2i2i00000000
χ482-2-222222-2-2-2-22-2-22-222-22-2-220000-2200002-20000−2i2i2i−2i000000000000000000002i−2i00000000
χ492-2-2-222-22-2-222-222-22-22-222-2-20000000000002-2-220000000000000000002i−2i−2i2i00000000002i−2i
χ502-2-2-222-22-2-222-222-22-22-222-2-20000000000002-2-22000000000000000000−2i2i2i−2i0000000000−2i2i
χ512-2-2-222-22-2-222-222-22-22-222-2-2000000000000-222-20000000000000000002i−2i−2i2i0000000000−2i2i
χ522-2-2-222-22-2-222-222-22-22-222-2-2000000000000-222-2000000000000000000−2i2i2i−2i00000000002i−2i
χ5344444-44-4-4-44-4-44-4-4000000004-44-40000000000000000000000000000000000000000000000
χ5444444-44-4-4-44-4-44-4-400000000-44-440000000000000000000000000000000000000000000000
χ55444-444-4444-4-4-4-4-4-4-4-4444-44-400000000000000000000000000000000000000000000000000
χ56444-44-4-4-4-4-4-444-4440000000000000000000000000000002i2−2i22i2−2i2000000000000000000000000
χ57444-44-4-4-4-4-4-444-444000000000000000000000000000000−2i22i2−2i22i2000000000000000000000000
χ5844-44-44-4-4-444-4-4-444000000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ5944-44-44-4-4-444-4-4-44400000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ6044-4-4-444-4-44-4444-4-40000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ6144-4-4-444-4-44-4444-4-4000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ6244-4-4-4-4444-4-4-4-44444-4-4-44-44400000000000000000000000000000000000000000000000000
χ634-444-44-4-44-4-44-44-44000000000000004i−4i000000000000000000000000000000000000000000
χ644-444-44-4-44-4-44-44-4400000000000000−4i4i000000000000000000000000000000000000000000
χ654-444-4-4-44-44-4-4444-444-444-4-4-400000000000000000000000000000000000000000000000000
χ664-444-4-4-44-44-4-4444-4-4-44-4-444400000000000000000000000000000000000000000000000000
χ674-44-4-444-44-44-44-44-400000000000000000000000000000000002i2−2i22i2−2i200000000000000000000
χ684-44-4-444-44-44-44-44-40000000000000000000000000000000000−2i22i2−2i22i200000000000000000000
χ694-44-4-4-444-4444-4-4-44-4-4-4444-4400000000000000000000000000000000000000000000000000
χ704-4-444-44-444-44-4-44-400000000000000004i−4i0000000000000000000000000000000000000000
χ714-4-444-44-444-44-4-44-40000000000000000−4i4i0000000000000000000000000000000000000000
χ724-4-4-444-44-4-444-444-4-44-44-4-44400000000000000000000000000000000000000000000000000
χ734-4-4-44-4-4-4444-444-44000000000000000000000000000000000022−22−222200000000000000000000
χ744-4-4-44-4-4-4444-444-440000000000000000000000000000000000−222222−2200000000000000000000

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