Finite Group Databasebeta

← Group #348253

Character table — Group #348253

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444444448888888888888888888888888816161616161616161616161616161616
order12222222222244444444222244444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1111-1-1-1-1-1-11-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1111-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-1-1-111111111-111-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-111111111-111-1-111-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111
χ11111111111111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111-1-111
χ12111111111111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-111-1-1
χ13111111111111-1-1-1-11111-1-111-1-1-111-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-11111-1-111-1-1-111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ15111111111111-1-1-1-11111-1-1-1-1-1-1-11111-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-11111-1-1-1-1-1-1-11111-111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111
χ1722222222222222-2-2-2-2-2-222002-2-2-2-200-2220000000000000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2002222200-2-2-20000000000000000000000000000
χ19222222222222-2-222-2-2-2-22200-2-2-222002-2-20000000000000000000000000000
χ20222222222222-2-222-2-2-2-2-2-200-222-2-2002220000000000000000000000000000
χ2122222222-2-2-2-222222-22-20000-2000022-20000000022-2-2-2-20000000000000000
χ2222222222-2-2-2-222222-22-20000-20000-2-2-200000000-2-222220000000000000000
χ2322222222-2-2-2-222-2-2-22-220022-2000000200-2-222-2-20000000000000000000000
χ2422222222-2-2-2-222-2-2-22-2200-2-2-200000020022-2-2220000000000000000000000
χ2522222222-2-2-2-2-2-222-22-2200222000000-200-2-2-2-2220000000000000000000000
χ2622222222-2-2-2-2-2-222-22-2200-2-22000000-2002222-2-20000000000000000000000
χ2722222222-2-2-2-2-2-2-2-22-22-200002000022200000000-2-222-2-20000000000000000
χ2822222222-2-2-2-2-2-2-2-22-22-2000020000-2-220000000022-2-2220000000000000000
χ292-22-22-2-2222-2-200002-2-22002-20002i−2i0002i−2i2-200002i−2i2i−2i000000000000000000
χ302-22-22-2-2222-2-200002-2-22002-2000−2i2i000−2i2i2-20000−2i2i−2i2i000000000000000000
χ312-22-22-2-2222-2-200002-2-2200-220002i−2i0002i−2i-220000−2i2i−2i2i000000000000000000
χ322-22-22-2-2222-2-200002-2-2200-22000−2i2i000−2i2i-2200002i−2i2i−2i000000000000000000
χ332-22-22-2-2222-2-20000-222-200000002i−2i2-20−2i2i002i−2i2i−2i00002-20000000000000000
χ342-22-22-2-2222-2-20000-222-200000002i−2i-220−2i2i00−2i2i−2i2i0000-220000000000000000
χ352-22-22-2-2222-2-20000-222-20000000−2i2i2-202i−2i00−2i2i−2i2i00002-20000000000000000
χ362-22-22-2-2222-2-20000-222-20000000−2i2i-2202i−2i002i−2i2i−2i0000-220000000000000000
χ372-22-22-2-22-2-222000022-2-22-20002-20000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ382-22-22-2-22-2-222000022-2-22-20002-2000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ392-22-22-2-22-2-222000022-2-2-22000-220000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ402-22-22-2-22-2-222000022-2-2-22000-22000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ412-22-22-2-22-2-2220000-2-2222-22-20-2200-22000-22000000002-20000000000000000
χ422-22-22-2-22-2-2220000-2-2222-2-220-22002-20002-200000000-220000000000000000
χ432-22-22-2-22-2-2220000-2-222-222-202-2002-2000-2200000000-220000000000000000
χ442-22-22-2-22-2-2220000-2-222-22-2202-200-220002-2000000002-20000000000000000
χ4544-444-4-4-44-44-400000000000000000000000000000000000000000022−22000000
χ4644-444-4-4-44-44-4000000000000000000000000000000000000000000−2222000000
χ4744-444-4-4-4-44-44000000000000000000000000000000000000000000002i2−2i20000
χ4844-444-4-4-4-44-4400000000000000000000000000000000000000000000−2i22i20000
χ4944-4-4-44-440000004i−4i0000000000000000000000000000002i−2i2-2000000000000
χ5044-4-4-44-440000004i−4i000000000000000000000000000000−2i2i-22000000000000
χ5144-4-4-44-44000000−4i4i0000000000000000000000000000002i−2i-22000000000000
χ5244-4-4-44-44000000−4i4i000000000000000000000000000000−2i2i2-2000000000000
χ534-444-44-4-400004-40000000000000000000000000000000000002i−2i2i−2i00000000
χ544-444-44-4-400004-4000000000000000000000000000000000000−2i2i−2i2i00000000
χ554-444-44-4-40000-440000000000000000000000000000000000002i−2i−2i2i00000000
χ564-444-44-4-40000-44000000000000000000000000000000000000−2i2i2i−2i00000000
χ574-4-4-4444-44-4-4400000000000000000000000000000000000000000000000022−22
χ584-4-4-4444-44-4-44000000000000000000000000000000000000000000000000−2222
χ594-4-4-4444-4-444-400000000000000000000000000000000000000000000002i2−2i200
χ604-4-4-4444-4-444-40000000000000000000000000000000000000000000000−2i22i200
χ61888-8-8-88-8000000000000000000000000000000000000000000000000000000
χ628-8-88-8-888000000000000000000000000000000000000000000000000000000

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