Finite Group Databasebeta

← Group #256270

Character table — Group #256270

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444442444444444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111-1-1-1-11-1-1111111111-1-1-11-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-11-1111-1-1-111-1-1-1-11111
χ511111111111111111111111-1-111-1-1-1-1-1-111111111111-11-1-1-11-1-1-1-1-1-1-1-11111
χ611111111111111111111111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111-11-1-1111111-1-1-1-1
χ711111111111111111111111-1-1-1-1-1-111111-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1
χ811111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111
χ91111111111111111-1-11-1-11-11111-1-11111-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111111111-1-11-1-11-11111-1-11111-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111
χ111111111111111111-1-11-1-11-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-11-1111111-1-1-1-111
χ121111111111111111-1-11-1-11-111-1-1-1-1-1-1-1-1-111-1-1-1-11111-11111-111-1-1-1-11111-1-1
χ131111111111111111-1-11-1-11-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-111111-1-11111-1-1
χ141111111111111111-1-11-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111-111-1111-1-111-1-1-1-111
χ151111111111111111-1-11-1-11-1-1-1-1-1111111-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ161111111111111111-1-11-1-11-1-1-1-1-1111111-111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1
χ172222222222-2-222-2-222-2-2-2-220022000000-222000000000-2000-2000000000000
χ182222222222-2-222-2-222-2-2-2-2200-2-2000000-2-2-200000000020002000000000000
χ192222222222-2-222-2-2-2-2-222-2-200220000002-2-20000000002000-2000000000000
χ202222222222-2-222-2-2-2-2-222-2-200-2-2000000222000000000-20002000000000000
χ2122222222-2-222-2-22222-222-2-22200220000-20000000000-2000-20000000000000
χ2222222222-2-222-2-22222-222-2-2-2-200-2-20000-20000000000200020000000000000
χ2322222222-2-222-2-222-2-2-2-2-2-222200-2-20000200000000002000-20000000000000
χ2422222222-2-222-2-222-2-2-2-2-2-22-2-20022000020000000000-200020000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-22-200000022-2-2200000000000000002-20000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-22-2000000-2-22220000000000000000-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222200000022-2-2-20000000000000000-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222222000000-2-222-200000000000000002-20000000000
χ2922-22-2-22-2002-2002-22i−2i02i−2i002-2002i−2i0000000i2i2−i2−i222−2−20000000000i2−i22−20000
χ3022-22-2-22-2002-2002-22i−2i02i−2i002-2002i−2i0000000−i2−i2i2i2−2−2220000000000−i2i2−220000
χ3122-22-2-22-2002-2002-22i−2i02i−2i00-2200−2i2i0000000i2i2−i2−i222−2−20000000000−i2i2−220000
χ3222-22-2-22-2002-2002-22i−2i02i−2i00-2200−2i2i0000000−i2−i2i2i2−2−2220000000000i2−i22−20000
χ3322-22-2-22-2002-2002-2−2i2i0−2i2i002-200−2i2i0000000i2i2−i2−i2−2−2220000000000i2−i2−220000
χ3422-22-2-22-2002-2002-2−2i2i0−2i2i002-200−2i2i0000000−i2−i2i2i222−2−20000000000−i2i22−20000
χ3522-22-2-22-2002-2002-2−2i2i0−2i2i00-22002i−2i0000000i2i2−i2−i2−2−2220000000000−i2i22−20000
χ3622-22-2-22-2002-2002-2−2i2i0−2i2i00-22002i−2i0000000−i2−i2i2i222−2−20000000000i2−i2−220000
χ372-2-2-2222-22-22-22-2-2200200-200000002-22-200000002i−2i2i−2i000000002i−2i00000000
χ382-2-2-2222-22-22-22-2-2200200-200000002-22-20000000−2i2i−2i2i00000000−2i2i00000000
χ392-2-2-2222-22-22-22-2-2200200-20000000-22-2200000002i−2i2i−2i00000000−2i2i00000000
χ402-2-2-2222-22-22-22-2-2200200-20000000-22-220000000−2i2i−2i2i000000002i−2i00000000
χ412-2-2-2222-2-22-22-222-200200-200000002-2-220002i−2i2i−2i0000002i−2i00000000000000
χ422-2-2-2222-2-22-22-222-200200-200000002-2-22000−2i2i−2i2i000000−2i2i00000000000000
χ432-2-2-2222-2-22-22-222-200200-20000000-222-20002i−2i2i−2i000000−2i2i00000000000000
χ442-2-2-2222-2-22-22-222-200200-20000000-222-2000−2i2i−2i2i0000002i−2i00000000000000
χ4544-44-4-44-400-4400-444i−4i0−4i4i00000000000000000000000000000000000000000
χ4644-44-4-44-400-4400-44−4i4i04i−4i00000000000000000000000000000000000000000
χ4744-4-44-4-444-400-44000000000004i−4i00000000000000000000000000000000000
χ4844-4-44-4-444-400-4400000000000−4i4i00000000000000000000000000000000000
χ4944-4-44-4-44-44004-4000000000000000000004i−4i00000000000000000000000000
χ5044-4-44-4-44-44004-400000000000000000000−4i4i00000000000000000000000000
χ514-4444-4-4-44400-4-4000000000000000000000000000000000000000000000022−22
χ524-4444-4-4-44400-4-40000000000000000000000000000000000000000000000−2222
χ534-4444-4-4-4-4-40044000000000000000000000000000000000000000000002i2−2i200
χ544-4444-4-4-4-4-4004400000000000000000000000000000000000000000000−2i22i200
χ554-44-4-4-444004400-4-40000000000000000000000002i2−2i2−2i22i2000000000000000000
χ564-44-4-4-444004400-4-4000000000000000000000000−2i22i22i2−2i2000000000000000000
χ574-44-4-4-44400-4-400440000000000000000000022−22−22220000000000000000000000
χ584-44-4-4-44400-4-4004400000000000000000000−222222−220000000000000000000000
χ594-4-4-4444-44-4-444-44-400-40040000000000000000000000000000000000000000
χ604-4-4-4444-4-444-4-44-4400-40040000000000000000000000000000000000000000
χ61888-8-88-8-8000000000000000000000000000000000000000000000000000000
χ628-8-88-88-88000000000000000000000000000000000000000000000000000000

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