Finite Group Databasebeta

← Group #243476

Character table — Group #243476

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222444444444444444444444444448888888822224444888888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1
χ91111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-1-1-111
χ101111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111-1-111-1-1
χ111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-1
χ121111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-111-1-11111
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1111111-1-1-1-1-1-1
χ17222222222-2-222-2-2222-2-2-2-222-2-222-2-222-2-20000000000000000000000000000
χ18222222222-2-222-2-2222-2-2-2-222-2-2-2-222-2-2220000000000000000000000000000
χ19222222222-2-222-2-22-2-222-2-2-2-22222-2-2-2-2220000000000000000000000000000
χ20222222222-2-222-2-22-2-222-2-2-2-222-2-22222-2-20000000000000000000000000000
χ2122222222-222-2-222-22222-2-2-2-2-2-2000000002222-2-2-2-200000000000000000000
χ2222222222-222-2-222-22222-2-2-2-2-2-200000000-2-2-2-2222200000000000000000000
χ2322222222-222-2-222-2-2-2-2-2-2-222220000000022-2-2-2-22200000000000000000000
χ2422222222-222-2-222-2-2-2-2-2-2-2222200000000-2-22222-2-200000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222-2-22200000000000000000000000000002i−2i2i−2i0000
χ2622222222-2-2-2-2-2-2-2-222-2-222-2-2220000000000000000000000000000−2i2i−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-2-200000000000000000000000000002i−2i−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222-2-20000000000000000000000000000−2i2i2i−2i0000
χ2922-2-222-2-222-2-2-22-222i−2i2i−2i2-22i−2i2i−2i0000000000000000002-2002i−2i000000000000
χ3022-2-222-2-222-2-2-22-222i−2i2i−2i2-22i−2i2i−2i000000000000000000-2200−2i2i000000000000
χ3122-2-222-2-222-2-2-22-22−2i2i−2i2i2-2−2i2i−2i2i0000000000000000002-200−2i2i000000000000
χ3222-2-222-2-222-2-2-22-22−2i2i−2i2i2-2−2i2i−2i2i000000000000000000-22002i−2i000000000000
χ3322-2-222-2-22-22-2-2-2222i−2i−2i2i-222i−2i−2i2i000000000000000000000000002i−2i0000002-2
χ3422-2-222-2-22-22-2-2-2222i−2i−2i2i-222i−2i−2i2i00000000000000000000000000−2i2i000000-22
χ3522-2-222-2-22-22-2-2-222−2i2i2i−2i-22−2i2i2i−2i000000000000000000000000002i−2i000000-22
χ3622-2-222-2-22-22-2-2-222−2i2i2i−2i-22−2i2i2i−2i00000000000000000000000000−2i2i0000002-2
χ3722-2-222-2-2-22-2222-2-22i−2i2i−2i-22−2i2i−2i2i00000000000000002-2002i−2i00000000000000
χ3822-2-222-2-2-22-2222-2-22i−2i2i−2i-22−2i2i−2i2i0000000000000000-2200−2i2i00000000000000
χ3922-2-222-2-2-22-2222-2-2−2i2i−2i2i-222i−2i2i−2i00000000000000002-200−2i2i00000000000000
χ4022-2-222-2-2-22-2222-2-2−2i2i−2i2i-222i−2i2i−2i0000000000000000-22002i−2i00000000000000
χ4122-2-222-2-2-2-2222-22-22i−2i−2i2i2-2−2i2i2i−2i0000000000000000000000002-20000002i−2i00
χ4222-2-222-2-2-2-2222-22-22i−2i−2i2i2-2−2i2i2i−2i000000000000000000000000-22000000−2i2i00
χ4322-2-222-2-2-2-2222-22-2−2i2i2i−2i2-22i−2i−2i2i0000000000000000000000002-2000000−2i2i00
χ4422-2-222-2-2-2-2222-22-2−2i2i2i−2i2-22i−2i−2i2i000000000000000000000000-220000002i−2i00
χ454444-4-4-4-404400-4-400000000000000000004-400000000000000000000000000
χ464444-4-4-4-404400-4-40000000000000000000-4400000000000000000000000000
χ474444-4-4-4-40-4-400440000000000000000000004i−4i000000000000000000000000
χ484444-4-4-4-40-4-40044000000000000000000000−4i4i000000000000000000000000
χ4944-4-4-4-44404-400-4400000000000000000000000004-400000000000000000000
χ5044-4-4-4-44404-400-440000000000000000000000000-4400000000000000000000
χ5144-4-4-4-4440-44004-4000000000000000000000004-40000000000000000000000
χ5244-4-4-4-4440-44004-400000000000000000000000-440000000000000000000000
χ534-44-44-44-44004-400-400000000000000004i−4i0000000000000000000000000000
χ544-44-44-44-44004-400-40000000000000000−4i4i0000000000000000000000000000
χ554-44-44-44-4-400-44004000000000000004-4000000000000000000000000000000
χ564-44-44-44-4-400-4400400000000000000-44000000000000000000000000000000
χ574-4-444-4-44400-4400-40000000000004i−4i00000000000000000000000000000000
χ584-4-444-4-44400-4400-4000000000000−4i4i00000000000000000000000000000000
χ594-4-444-4-44-4004-400400000000004-40000000000000000000000000000000000
χ604-4-444-4-44-4004-40040000000000-440000000000000000000000000000000000
χ618-88-8-88-88000000000000000000000000000000000000000000000000000000
χ628-8-88-888-8000000000000000000000000000000000000000000000000000000

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