Finite Group Databasebeta

← Group #243473

Character table — Group #243473

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222444444444444444444224444448888888844444444888888888888
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
χ9111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-111-1-1-1-111
χ10111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-111-1-1
χ11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-1
χ12111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111
χ13111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-11111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1111111-1-1-1-1-1-1
χ17222222222-2-222-2-22-2-222-2-222-2-22222-2-2-2-20000000000000000000000000000
χ18222222222-2-222-2-22-2-222-2-222-2-2-2-2-2-222220000000000000000000000000000
χ19222222222-2-222-2-22-2-2-2-222-2-22222-2-222-2-20000000000000000000000000000
χ20222222222-2-222-2-22-2-2-2-222-2-222-2-222-2-2220000000000000000000000000000
χ2122222222-222-2-222-2-2-22222-2-2-2-2000000002222-2-2-2-200000000000000000000
χ2222222222-222-2-222-2-2-22222-2-2-2-200000000-2-2-2-2222200000000000000000000
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
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-22200000000000000000000000000002i−2i2i−2i0000
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-2220000000000000000000000000000−2i2i−2i2i0000
χ2722222222-2-2-2-2-2-2-2-222-2-22222-2-200000000000000000000000000002i−2i−2i2i0000
χ2822222222-2-2-2-2-2-2-2-222-2-22222-2-20000000000000000000000000000−2i2i2i−2i0000
χ29222-2-2-2-2222-2-2-22-222-22i−2i2i−2i2i−2i2i−2i00000000000000002i−2i002-200000000000000
χ30222-2-2-2-2222-2-2-22-222-22i−2i2i−2i2i−2i2i−2i0000000000000000−2i2i00-2200000000000000
χ31222-2-2-2-2222-2-2-22-222-2−2i2i−2i2i−2i2i−2i2i00000000000000002i−2i00-2200000000000000
χ32222-2-2-2-2222-2-2-22-222-2−2i2i−2i2i−2i2i−2i2i0000000000000000−2i2i002-200000000000000
χ33222-2-2-2-222-22-2-2-222-222i−2i−2i2i2i−2i−2i2i0000000000000000000000002i−2i0000002-200
χ34222-2-2-2-222-22-2-2-222-222i−2i−2i2i2i−2i−2i2i000000000000000000000000−2i2i000000-2200
χ35222-2-2-2-222-22-2-2-222-22−2i2i2i−2i−2i2i2i−2i0000000000000000000000002i−2i000000-2200
χ36222-2-2-2-222-22-2-2-222-22−2i2i2i−2i−2i2i2i−2i000000000000000000000000−2i2i0000002-200
χ37222-2-2-2-22-22-2222-2-2-222i−2i2i−2i−2i2i−2i2i0000000000000000002i−2i002-2000000000000
χ38222-2-2-2-22-22-2222-2-2-222i−2i2i−2i−2i2i−2i2i000000000000000000−2i2i00-22000000000000
χ39222-2-2-2-22-22-2222-2-2-22−2i2i−2i2i2i−2i2i−2i0000000000000000002i−2i00-22000000000000
χ40222-2-2-2-22-22-2222-2-2-22−2i2i−2i2i2i−2i2i−2i000000000000000000−2i2i002-2000000000000
χ41222-2-2-2-22-2-2222-22-22-22i−2i−2i2i−2i2i2i−2i000000000000000000000000002-20000002i−2i
χ42222-2-2-2-22-2-2222-22-22-22i−2i−2i2i−2i2i2i−2i00000000000000000000000000-22000000−2i2i
χ43222-2-2-2-22-2-2222-22-22-2−2i2i2i−2i2i−2i−2i2i000000000000000000000000002-2000000−2i2i
χ44222-2-2-2-22-2-2222-22-22-2−2i2i2i−2i2i−2i−2i2i00000000000000000000000000-220000002i−2i
χ4544-44-44-4-44004-400-40000000000004-400000000000000000000000000000000
χ4644-44-44-4-44004-400-4000000000000-4400000000000000000000000000000000
χ4744-44-44-4-4-400-44004000000000000004i−4i000000000000000000000000000000
χ4844-44-44-4-4-400-4400400000000000000−4i4i000000000000000000000000000000
χ4944-4-44-44-4400-4400-400000000004-40000000000000000000000000000000000
χ5044-4-44-44-4400-4400-40000000000-440000000000000000000000000000000000
χ5144-4-44-44-4-4004-400400000000000000004i−4i0000000000000000000000000000
χ5244-4-44-44-4-4004-40040000000000000000−4i4i0000000000000000000000000000
χ534-4-444-4-4404400-4-400000000000000000000000004i−4i00000000000000000000
χ544-4-444-4-4404400-4-40000000000000000000000000−4i4i00000000000000000000
χ554-4-444-4-440-4-40044000000000000000000000004-40000000000000000000000
χ564-4-444-4-440-4-4004400000000000000000000000-440000000000000000000000
χ574-4-4-4-444404-400-4400000000000000000004-400000000000000000000000000
χ584-4-4-4-444404-400-440000000000000000000-4400000000000000000000000000
χ594-4-4-4-44440-44004-40000000000000000000004-4000000000000000000000000
χ604-4-4-4-44440-44004-4000000000000000000000-44000000000000000000000000
χ618-888-8-88-8000000000000000000000000000000000000000000000000000000
χ628-88-888-8-8000000000000000000000000000000000000000000000000000000

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