Finite Group Databasebeta

← Group #72219521

Character table — Group #72219521

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55
size112224444448888881616161616161616161616161616161616161616161616161616161616323232646464646464
order1222222444422444422224444444444444888888888888244448888
χ11111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1
χ61111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111
χ71111111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-111
χ81111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1
χ911111-1-1-1-111111111-1-11-11-1-111-1-111-1-11111-1-111-1-111-1-1-1-111-11-11-1
χ1011111-1-1-1-111111111-1-11-11-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-11-11-11
χ1111111-1-1-1-111111111-1-11-11-1-1-1-111-1-1111111-1-1-1-111-1-111-1-11-111-1-11
χ1211111-1-1-1-111111111-1-11-11-1-1-1-111-1-111-1-111-1-1-1-111-1-11111-11-1-111-1
χ1311111-1-1-1-111111111-1-1-11-11-111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-11-11
χ1411111-1-1-1-111111111-1-1-11-11-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-11-1
χ1511111-1-1-1-111111111-1-1-11-11-1-1-11111-1-111-1-111-1-11111-1-1-1-11-11-111-1
χ1611111-1-1-1-111111111-1-1-11-11-1-1-11111-1-1-1-1-1-111-1-11111-1-111-11-11-1-11
χ172222222222222-2-2-2-22-20000-222220000000000-2-2-2-20000000000000
χ182222222222222-2-2-2-22-20000-2-2-2-2-2000000000022220000000000000
χ1922222222222-2-222-2-2-220000-2000022220000000000-2-2-2-2000000000
χ2022222222222-2-222-2-2-220000-20000-2-2-2-200000000002222000000000
χ2122222222222-2-2-2-222-2-2222220000000000-2-2-2-200000000000000000
χ2222222222222-2-2-2-222-2-2-2-2-2-220000000000222200000000000000000
χ2322222-2-2-2-22222-2-2-2-2-220000222-2-20000000000-2-2220000000000000
χ2422222-2-2-2-22222-2-2-2-2-2200002-2-222000000000022-2-20000000000000
χ2522222-2-2-2-222-2-222-2-22-200002000022-2-20000000000-2-222000000000
χ2622222-2-2-2-222-2-222-2-22-2000020000-2-222000000000022-2-2000000000
χ2722222-2-2-2-222-2-2-2-222222-22-2-20000000000-2-22200000000000000000
χ2822222-2-2-2-222-2-2-2-22222-22-22-2000000000022-2-200000000000000000
χ29222-2-200002-22-22-22-200020-20002i−2i2i−2i0000002-2002i−2i2i−2i00000000000
χ30222-2-200002-22-22-22-200020-2000−2i2i−2i2i0000002-200−2i2i−2i2i00000000000
χ31222-2-200002-22-22-22-2000-2020002i−2i−2i2i000000-22002i−2i−2i2i00000000000
χ32222-2-200002-22-22-22-2000-202000−2i2i2i−2i000000-2200−2i2i2i−2i00000000000
χ33222-2-200002-22-2-22-220020-200002i−2i002i−2i002-20000−2i2i002i−2i000000000
χ34222-2-200002-22-2-22-220020-20000−2i2i00−2i2i002-200002i−2i00−2i2i000000000
χ35222-2-200002-22-2-22-2200-20200002i−2i00−2i2i00-220000−2i2i00−2i2i000000000
χ36222-2-200002-22-2-22-2200-2020000−2i2i002i−2i00-2200002i−2i002i−2i000000000
χ37222-2-200002-2-222-2-220020-2002i−2i002i−2i0000-22002i−2i00−2i2i00000000000
χ38222-2-200002-2-222-2-220020-200−2i2i00−2i2i0000-2200−2i2i002i−2i00000000000
χ39222-2-200002-2-222-2-2200-202002i−2i00−2i2i00002-2002i−2i002i−2i00000000000
χ40222-2-200002-2-222-2-2200-20200−2i2i002i−2i00002-200−2i2i00−2i2i00000000000
χ41222-2-200002-2-22-222-200020-202i−2i00002i−2i0000-22−2i2i0000−2i2i000000000
χ42222-2-200002-2-22-222-200020-20−2i2i0000−2i2i0000-222i−2i00002i−2i000000000
χ43222-2-200002-2-22-222-2000-20202i−2i0000−2i2i00002-2−2i2i00002i−2i000000000
χ44222-2-200002-2-22-222-2000-2020−2i2i00002i−2i00002-22i−2i0000−2i2i000000000
χ454444444-4-4-4-4000000000000000000000220000000000002-2-2000000
χ464444444-4-4-4-4000000000000000000000-2-2000000000000-222000000
χ4744444-4-444-4-400000000000000000000022000000000000-22-2000000
χ4844444-4-444-4-4000000000000000000000-2-20000000000002-22000000
χ49888-8-80000-8800000000000000000000000000000000000000000000
χ5088-88-8008-80000000000000000000000000000000000000000000000
χ5188-88-800-880000000000000000000000000000000000000000000000
χ5288-8-888-8000000000000000000000000000000000000000000000000
χ5388-8-88-88000000000000000000000000000000000000000000000000
χ5416-160000000000000000000000000000004-4000000000000000000000
χ5516-16000000000000000000000000000000-44000000000000000000000

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