Finite Group Databasebeta

← Group #246737

Character table — Group #246737

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444442224444444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-11-11-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-1-111-1-1-1-11111
χ511111111111111111111111-1-1-1-111111-1-1-1-111111111-1-11-11-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1111111-1-1-1-1
χ711111111111111111111111-1-1-1-1-1-11-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ811111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111
χ911111111111111111-1-1-1-11-111-1-111-1-1-1-1-1-1-11111-1-1-1-1111-1-1111-1-111-1-111-1-1
χ1011111111111111111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-111111-1-111-1-111
χ1111111111111111111-1-1-1-11-111-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ1211111111111111111-1-1-1-11-111-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1
χ1311111111111111111-1-1-1-11-1-1-11111-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1
χ1411111111111111111-1-1-1-11-1-1-11111-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111
χ1511111111111111111-1-1-1-11-1-1-111-1-1-111-1-1-1-11111-1-1-1-111-111-111-1-1-1-111-1-111
χ1611111111111111111-1-1-1-11-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-111-1111111-1-111-1-1
χ172222222222-2-222-2-2-22222-2-2000022-22200000000000000-20-20000000000000
χ182222222222-2-222-2-2-22222-2-20000-2-2-2-2-2000000000000002020000000000000
χ192222222222-2-222-2-2-2-2-2-2-2-220000222-2-200000000000000-2020000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-220000-2-22220000000000000020-20000000000000
χ2122222222-2-222-2-222-222-2-2-2-2222200200000000000000000-20-2000000000000
χ2222222222-2-222-2-222-222-2-2-2-2-2-2-2-200200000000000000000202000000000000
χ2322222222-2-222-2-222-2-2-222-2222-2-200-20000000000000000020-2000000000000
χ2422222222-2-222-2-222-2-2-222-22-2-22200-200000000000000000-202000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-222000000-20022-2-2000000000000002-20000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-222000000-200-2-22200000000000000-220000000000
χ2722222222-2-2-2-2-2-2-2-22-2-2222-200000020022-2-200000000000000-220000000000
χ2822222222-2-2-2-2-2-2-2-22-2-2222-2000000200-2-222000000000000002-20000000000
χ29222-2-2-22-22-2002-20002i−2i2i−2i0000002i−2i02-20000i2i2−i2−i222−2−2000000000000002−2i2−i2
χ30222-2-2-22-22-2002-20002i−2i2i−2i0000002i−2i02-20000−i2−i2i2i2−2−22200000000000000−22−i2i2
χ31222-2-2-22-22-2002-20002i−2i2i−2i000000−2i2i0-220000i2i2−i2−i222−2−200000000000000−22−i2i2
χ32222-2-2-22-22-2002-20002i−2i2i−2i000000−2i2i0-220000−i2−i2i2i2−2−222000000000000002−2i2−i2
χ33222-2-2-22-22-2002-2000−2i2i−2i2i0000002i−2i0-220000i2i2−i2−i2−2−222000000000000002−2−i2i2
χ34222-2-2-22-22-2002-2000−2i2i−2i2i0000002i−2i0-220000−i2−i2i2i222−2−200000000000000−22i2−i2
χ35222-2-2-22-22-2002-2000−2i2i−2i2i000000−2i2i02-20000i2i2−i2−i2−2−22200000000000000−22i2−i2
χ36222-2-2-22-22-2002-2000−2i2i−2i2i000000−2i2i02-20000−i2−i2i2i222−2−2000000000000002−2−i2i2
χ372-2-2-22-2222-22-2-222-2-20000200000000002-22-22-22-20000000000002-200000000
χ382-2-2-22-2222-22-2-222-2-20000200000000002-22-2-22-22000000000000-2200000000
χ392-2-2-22-2222-22-2-222-2-2000020000000000-22-222-22-2000000000000-2200000000
χ402-2-2-22-2222-22-2-222-2-2000020000000000-22-22-22-220000000000002-200000000
χ412-2-2-22-222-22-222-2-22-20000200000000002-2-2200002-22-22-20000000000000000
χ422-2-2-22-222-22-222-2-22-20000200000000002-2-220000-22-22-220000000000000000
χ432-2-2-22-222-22-222-2-22-2000020000000000-222-200002-22-2-220000000000000000
χ442-2-2-22-222-22-222-2-22-2000020000000000-222-20000-22-222-20000000000000000
χ45444-4-4-44-4-4400-440004i−4i−4i4i00000000000000000000000000000000000000000
χ46444-4-4-44-4-4400-44000−4i4i4i−4i00000000000000000000000000000000000000000
χ4744-44-4-4-44004-400-4400000000000000000000000000000000000000002i2−2i20000
χ4844-44-4-4-44004-400-440000000000000000000000000000000000000000−2i22i20000
χ4944-44-4-4-4400-44004-4000000000000000000000000000000000000002i2−2i2000000
χ5044-44-4-4-4400-44004-400000000000000000000000000000000000000−2i22i2000000
χ514-44-4-44-44004400-4-40000000004i−4i00000000000000000000000000000000000
χ524-44-4-44-44004400-4-4000000000−4i4i00000000000000000000000000000000000
χ534-44-4-44-4400-4-4004400000004-40000000000000000000000000000000000000
χ544-44-4-44-4400-4-400440000000-440000000000000000000000000000000000000
χ554-4-44-444-44400-4-400000000000000000000002i2−2i2−2i22i20000000000000000000000
χ564-4-44-444-44400-4-40000000000000000000000−2i22i22i2−2i20000000000000000000000
χ574-4-44-444-4-4-400440000000000000000000000000022−22−2222000000000000000000
χ584-4-44-444-4-4-4004400000000000000000000000000−222222−22000000000000000000
χ594-4-4-44-4444-4-44-44-4440000-40000000000000000000000000000000000000000
χ604-4-4-44-444-444-44-44-440000-40000000000000000000000000000000000000000
χ6188-8-888-8-8000000000000000000000000000000000000000000000000000000
χ628-8888-8-8-8000000000000000000000000000000000000000000000000000000

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