Finite Group Databasebeta

← Group #72341231

Character table — Group #72341231

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61
size1111224444448888888888161616161616161616161616161616161616161616161616161616161632323232323264646464
order1222222222222222224444222244444444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ4111111111111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-11111111-11-1-1111-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1
χ611111111111111-1-1-1-11111111-11-1-1111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-1111111-111-1-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ811111111111111-1-1-1-1111111-111-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ9111111111111-1-111-1-11111-1-111-11-11-1-11-1-111-1-111-1-111-1-11111-1-111-1-11-11-1
χ10111111111111-1-111-1-11111-1-111-11-11-1-11-1-111-1-111-1-111-1-1-1-1-1-111-1-111-11-11
χ11111111111111-1-111-1-11111-1-1-1-1-11-1-111-11111-1-1-1-111-1-1111111-1-111-1-1-11-11
χ12111111111111-1-111-1-11111-1-1-1-1-11-1-111-11111-1-1-1-111-1-111-1-1-1-111-1-1111-11-1
χ13111111111111-1-1-1-1111111-1-11-1-1-111-1-1-111-1-11111-1-1-1-1111111-1-1-1-1111-1-11
χ14111111111111-1-1-1-1111111-1-11-1-1-111-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-111-1
χ15111111111111-1-1-1-1111111-1-1-11-1-11-1111-1-1-1-111-1-11111-1-11111-1-1-1-111-111-1
χ16111111111111-1-1-1-1111111-1-1-11-1-11-1111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-11-1-11
χ17222222222222222222-2-2-2-2-2-200222000000-2-2-2-20000000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2-2-2002-2-200000022220000000000000000000000
χ19222222222222-2-222-2-2-2-2-2-22200-22-2000000-2-2220000000000000000000000
χ20222222222222-2-2-2-222-2-2-2-22200-2-2200000022-2-20000000000000000000000
χ212222222-2-22-2-200002222-2-2000200-202-2-200002-2002-22-20000000000000000
χ222222222-2-22-2-200002222-2-2000-200-20-22200002-200-22-220000000000000000
χ232222222-2-22-2-2000022-2-222002000-2-20002-200-222-200002-200000000000000
χ242222222-2-22-2-2000022-2-22200-2000-22000-2200-22-220000-2200000000000000
χ252222222-2-22-2-20000-2-222-2-200020020-22-20000-2200-222-20000000000000000
χ262222222-2-22-2-20000-2-222-2-2000-200202-220000-22002-2-220000000000000000
χ272222222-2-22-2-20000-2-2-2-2220020002-2000-22002-22-20000-2200000000000000
χ282222222-2-22-2-20000-2-2-2-22200-2000220002-2002-2-2200002-200000000000000
χ29222222-22-2-22-20022002-22-200000-2002-202-22-20000-2200-2200000000000000
χ30222222-22-2-22-20022002-22-200000-200-220-222-200002-2002-200000000000000
χ31222222-22-2-22-2002200-22-2200220-20-200-200-2200-2200-220000000000000000
χ32222222-22-2-22-2002200-22-2200-2-20-20200200-22002-2002-20000000000000000
χ33222222-22-2-22-200-2-2002-22-2000002002-20-22-220000-22002-200000000000000
χ34222222-22-2-22-200-2-2002-22-200000200-2202-2-2200002-200-2200000000000000
χ35222222-22-2-22-200-2-200-22-22002-2020-2002002-200-22002-20000000000000000
χ36222222-22-2-22-200-2-200-22-2200-22020200-2002-2002-200-220000000000000000
χ37222222-2-22-2-222200002-2-222-220-2002220000000-2-2-2-2000000000000000000
χ38222222-2-22-2-222200002-2-222-2-20-200-2-2-200000002222000000000000000000
χ39222222-2-22-2-22220000-222-2-2202-20000022200000000-2-2-2-200000000000000
χ40222222-2-22-2-22220000-222-2-220-2-200000-2-2-200000000222200000000000000
χ41222222-2-22-2-22-2-200002-2-22-22202002-2-20000000-2-222000000000000000000
χ42222222-2-22-2-22-2-200002-2-22-22-20200-222000000022-2-2000000000000000000
χ43222222-2-22-2-22-2-20000-222-22-2022000002-2-200000000-2-22200000000000000
χ44222222-2-22-2-22-2-20000-222-22-20-2200000-2220000000022-2-200000000000000
χ454444-4-400-40044-400000000000000000000000000000000022-2-22-200000000
χ464444-4-400-40044-4000000000000000000000000000000000-2-222-2200000000
χ474444-4-400-4004-4400000000000000000000000000000000022-2-2-2200000000
χ484444-4-400-4004-44000000000000000000000000000000000-2-2222-200000000
χ4944-4-44-40400-40004-400000000000000000000000000000002i−2i2i−2i002i−2i000000
χ5044-4-44-40400-40004-40000000000000000000000000000000−2i2i−2i2i00−2i2i000000
χ5144-4-44-40400-4000-4400000000000000000000000000000002i−2i2i−2i00−2i2i000000
χ5244-4-44-40400-4000-440000000000000000000000000000000−2i2i−2i2i002i−2i000000
χ5344-4-4-44400-40000004-4000000000000000000000000000002i−2i−2i2i00002i−2i0000
χ5444-4-4-44400-40000004-400000000000000000000000000000−2i2i2i−2i0000−2i2i0000
χ5544-4-4-44400-4000000-44000000000000000000000000000002i−2i−2i2i0000−2i2i0000
χ5644-4-4-44400-4000000-4400000000000000000000000000000−2i2i2i−2i00002i−2i0000
χ578888-8-800800-80000000000000000000000000000000000000000000000000
χ5888-8-88-80-800800000000000000000000000000000000000000000000000000
χ5988-8-8-88-8008000000000000000000000000000000000000000000000000000
χ6016-1616-16000000000000000000000000000000000000000000000000000000000
χ6116-16-1616000000000000000000000000000000000000000000000000000000000

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