Finite Group Databasebeta

← Group #72318615

Character table — Group #72318615

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61
size1111224444448888888888161616161616161616161616161616161616161616161616161616161632323232323264646464
order1222222244442222222222222444444444444444444444444444488884444
χ11111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1111111-111-1-1111-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1
χ611111111111111-1-1-1-1111111-111-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-111111-1111-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ811111111111111-1-1-1-111111-1111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ9111111111111-1-111-1-11111-111-1-11-11-1-11-1-1111111-1-111-1-111-1-1-1-111-1-11-11-1
χ10111111111111-1-111-1-11111-111-1-11-11-1-11-1-1-1-1-1-111-1-111-1-111-1-111-1-111-11-11
χ11111111111111-1-111-1-11111-1-1-1-1-11-1-111-111111111-1-1-1-111-1-111-1-111-1-1-11-11
χ12111111111111-1-111-1-11111-1-1-1-1-11-1-111-111-1-1-1-111-1-1-1-111-1-11111-1-1111-11-1
χ13111111111111-1-1-1-1111111-11-1-1-1-111-1-1-1111111-1-11111-1-1-1-111-1-1-1-1111-1-11
χ14111111111111-1-1-1-1111111-11-1-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1
χ15111111111111-1-1-1-1111111-1-11-1-1-11-1111-1-11111-1-111-1-11111-1-1-1-1-1-111-111-1
χ16111111111111-1-1-1-1111111-1-11-1-1-11-1111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-11-1-11
χ17222222222222222222-2-2-2-2200-2-2220000000000-2-2-2-2000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2200-2-2-2-200000000002222000000000000000000
χ19222222222222-2-222-2-2-2-2-2-2-200222-20000000000-2-222000000000000000000
χ20222222222222-2-2-2-222-2-2-2-2-20022-22000000000022-2-2000000000000000000
χ2122222222-2-2-2-222000022-2-2-2022-200000222000000000000-2-2-2-20000000000
χ2222222222-2-2-2-222000022-2-2-20-22-200000-2-2-200000000000022220000000000
χ2322222222-2-2-2-2220000-2-222-220-220022200000000000-2-2-2-200000000000000
χ2422222222-2-2-2-2220000-2-222-2-20-2200-2-2-200000000000222200000000000000
χ2522222222-2-2-2-2-2-2000022-2-2202-22000002-2-2000000000000-2-2220000000000
χ2622222222-2-2-2-2-2-2000022-2-220-2-2200000-22200000000000022-2-20000000000
χ2722222222-2-2-2-2-2-20000-2-2222202-2002-2-200000000000-2-22200000000000000
χ2822222222-2-2-2-2-2-20000-2-2222-202-200-2220000000000022-2-200000000000000
χ29222222-2-22-22-20000222-22-2002000-202-2-2000000002-2002-22-2000000000000
χ30222222-2-22-22-20000222-22-200-2000-20-222000000002-200-22-22000000000000
χ31222222-2-22-22-2000022-22-22020000-2-20002-2000000-222-200002-20000000000
χ32222222-2-22-22-2000022-22-220-20000-22000-22000000-22-220000-220000000000
χ33222222-2-22-22-20000-2-22-22-200200020-22-200000000-2200-222-2000000000000
χ34222222-2-22-22-20000-2-22-22-200-2000202-2200000000-22002-2-22000000000000
χ35222222-2-22-22-20000-2-2-22-220200002-2000-220000002-22-20000-220000000000
χ36222222-2-22-22-20000-2-2-22-220-20000220002-20000002-2-2200002-20000000000
χ37222222-2-2-22-220022002-2-2202200-20-200-20000002-200-2200-22000000000000
χ38222222-2-2-22-220022002-2-220-2-200-2020020000002-2002-2002-2000000000000
χ39222222-2-2-22-22002200-222-200000-2002-202-20000-220000-2200-220000000000
χ40222222-2-2-22-22002200-222-200000-200-220-220000-2200002-2002-20000000000
χ41222222-2-2-22-2200-2-2002-2-2202-20020-2002000000-2200-22002-2000000000000
χ42222222-2-2-22-2200-2-2002-2-220-220020200-2000000-22002-200-22000000000000
χ43222222-2-2-22-2200-2-200-222-2000002002-20-2200002-20000-22002-20000000000
χ44222222-2-2-22-2200-2-200-222-200000200-2202-200002-200002-200-220000000000
χ454444-4-4-4400004-400000000000000000000022-2-20000000000002-200000000
χ464444-4-4-4400004-4000000000000000000000-2-222000000000000-2200000000
χ474444-4-4-440000-4400000000000000000000022-2-2000000000000-2200000000
χ484444-4-4-440000-44000000000000000000000-2-2220000000000002-200000000
χ4944-4-44-400040-4004-400000000000000000002i−2i2i−2i000000000000002i−2i000000
χ5044-4-44-400040-4004-40000000000000000000−2i2i−2i2i00000000000000−2i2i000000
χ5144-4-44-400040-400-4400000000000000000002i−2i2i−2i00000000000000−2i2i000000
χ5244-4-44-400040-400-440000000000000000000−2i2i−2i2i000000000000002i−2i000000
χ5344-4-4-440040-4000004-4000000000000000002i−2i−2i2i00000000000000002i−2i0000
χ5444-4-4-440040-4000004-400000000000000000−2i2i2i−2i0000000000000000−2i2i0000
χ5544-4-4-440040-400000-44000000000000000002i−2i−2i2i0000000000000000−2i2i0000
χ5644-4-4-440040-400000-4400000000000000000−2i2i2i−2i00000000000000002i−2i0000
χ578888-8-88-800000000000000000000000000000000000000000000000000000
χ5888-8-88-8000-8080000000000000000000000000000000000000000000000000
χ5988-8-8-8800-80800000000000000000000000000000000000000000000000000
χ6016-1616-16000000000000000000000000000000000000000000000000000000000
χ6116-16-1616000000000000000000000000000000000000000000000000000000000

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