Finite Group Databasebeta

← Group #262802

Character table — Group #262802

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222444444444444448888244444888888888844444444448888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-111
χ71111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111
χ81111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1
χ9111111111111111111-1-1-1-11111-11111-1-1-111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1
χ10111111111111111111-1-1-1-11111-11111-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-111-1-1-1-11111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-1-1-111
χ17222222222-222-2-22-2-2-222-2-20000222-2-2-200000000002-2000000000000000000
χ18222222222-222-2-22-2-2-222-2-200002-2-222-20000000000-22000000000000000000
χ19222222222-222-2-22-2-2-2-2-2220000-222-2-220000000000-22000000000000000000
χ20222222222-222-2-22-2-2-2-2-2220000-2-2-222200000000002-2000000000000000000
χ2122222222-22-2-222-22-2-222222222-20000-2-2-2-2-222000000000000000000000000
χ2222222222-22-2-222-22-2-22222-2-2-2-2-20000-22222-2-2000000000000000000000000
χ2322222222-22-2-222-22-2-2-2-2-2-2222220000222-2-2-2-2000000000000000000000000
χ2422222222-22-2-222-22-2-2-2-2-2-2-2-2-2-2200002-2-22222000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-20000-2000020000002i2i−2i−2i00000000002i−2i00000000
χ2622222222-2-2-2-2-2-2-2-22222-2-20000-200002000000−2i−2i2i2i0000000000−2i2i00000000
χ2722222222-2-2-2-2-2-2-2-222-2-222000020000-20000002i2i−2i−2i0000000000−2i2i00000000
χ2822222222-2-2-2-2-2-2-2-222-2-222000020000-2000000−2i−2i2i2i00000000002i−2i00000000
χ292-2-222-2-220-200220-2002i−2i2i−2i22-2-200000000002i−2i00000000000000002−22−2i2−i2i2−i2
χ302-2-222-2-220-200220-2002i−2i2i−2i22-2-200000000002i−2i0000000000000000−22−22−i2i2−i2i2
χ312-2-222-2-220-200220-2002i−2i2i−2i-2-2220000000000−2i2i00000000000000002−2−22i2−i2−i2i2
χ322-2-222-2-220-200220-2002i−2i2i−2i-2-2220000000000−2i2i0000000000000000−222−2−i2i2i2−i2
χ332-2-222-2-220-200220-200−2i2i−2i2i22-2-20000000000−2i2i00000000000000002−22−2−i2i2−i2i2
χ342-2-222-2-220-200220-200−2i2i−2i2i22-2-20000000000−2i2i0000000000000000−22−22i2−i2i2−i2
χ352-2-222-2-220-200220-200−2i2i−2i2i-2-22200000000002i−2i00000000000000002−2−22−i2i2i2−i2
χ362-2-222-2-220-200220-200−2i2i−2i2i-2-22200000000002i−2i0000000000000000−222−2i2−i2−i2i2
χ372-2-2-2-22222-2-2-22-2222-200002-22-2000000002-20000000000002-22-20000000000
χ382-2-2-2-22222-2-2-22-2222-200002-22-2000000002-2000000000000-22-220000000000
χ392-2-2-2-22222-2-2-22-2222-20000-22-2200000000-220000000000002-2-220000000000
χ402-2-2-2-22222-2-2-22-2222-20000-22-2200000000-22000000000000-222-20000000000
χ412-2-2-2-2222-2-2222-2-22-2200002-22-200000000-22000000002-22-200000000000000
χ422-2-2-2-2222-2-2222-2-22-2200002-22-200000000-2200000000-22-2200000000000000
χ432-2-2-2-2222-2-2222-2-22-220000-22-22000000002-2000000002-2-2200000000000000
χ442-2-2-2-2222-2-2222-2-22-220000-22-22000000002-200000000-222-200000000000000
χ45444-4-4-4-4404004-40-40000004-4-44000000000000000000000000000000000000
χ46444-4-4-4-4404004-40-4000000-444-4000000000000000000000000000000000000
χ47444-4-4-4-440-400-440400000000000000004i−4i0000000000000000000000000000
χ48444-4-4-4-440-400-44040000000000000000−4i4i0000000000000000000000000000
χ4944-44-44-4-4404-400-40000000000000000000000022−2222−2200000000000000000000
χ5044-44-44-4-4404-400-400000000000000000000000−2222−222200000000000000000000
χ5144-44-44-4-4-40-44004000000000000000000000002i2−2i2−2i22i200000000000000000000
χ5244-44-44-4-4-40-4400400000000000000000000000−2i22i22i2−2i200000000000000000000
χ534-44-444-4-440-4400-40000000000004-4000000000000000000000000000000000
χ544-44-444-4-440-4400-4000000000000-44000000000000000000000000000000000
χ554-44-444-4-4-404-4004000000000000004i−4i0000000000000000000000000000000
χ564-44-444-4-4-404-400400000000000000−4i4i0000000000000000000000000000000
χ574-4-444-4-440400-4-404004i−4i−4i4i0000000000000000000000000000000000000000
χ584-4-444-4-440400-4-40400−4i4i4i−4i0000000000000000000000000000000000000000
χ594-4-4-4-444444-4-4-444-4-4400000000000000000000000000000000000000000000
χ604-4-4-4-4444-4444-44-4-44-400000000000000000000000000000000000000000000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-888-8-88-8000000000000000000000000000000000000000000000000000000

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