Finite Group Databasebeta

← Group #72262288

Character table — Group #72262288

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67
size1111224444448888888888888888888888161616161616161616161616161616161616161616161632323232323264646464
order1222222244442222222222444444444444222224444444444444444444488884444
χ11111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111-1-1-1-1111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111
χ611111111111111-1-1-1-1111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ711111111111111-1-1-1-111111111-1-1-1-111111-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ811111111111111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ9111111111111-1-111-1-11111-1-1-1-111-1-111-1-1-11-111111-11-111-1-111-1-111-1-1-1-111-1-11-11-1
χ10111111111111-1-111-1-11111-1-1-1-111-1-111-1-1-11-1-1-1-1-11-11-111-1-111-1-111-1-111-1-111-11-11
χ11111111111111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1111111-1-1111-1-1-1-111-1-111-1-1-1-1111-1-11
χ12111111111111-1-111-1-11111-1-1-1-1-1-111-1-111-1-11-1-1-1-11-1-1111-1-1-1-111-1-1111111-1-1-111-1
χ13111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-11-11111-11-11-1-11111-1-1-1-111-1-1-1-111-111-1
χ14111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-11-1-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-11-1-11
χ15111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111-111-1-1-111-1-11111-1-1-1-111-1-1-11-11
χ16111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-111-1-1-111-1-11111-1-111-1-1111-11-1
χ17222222222222220000-2-2-2-2-2-2-2-2000022222000000002200000000-2-2-2-20000000000
χ18222222222222220000-2-2-2-2-2-2-2-20000-2-2-2-2200000000-2-20000000022220000000000
χ19222222222222-2-20000-2-2-2-22222000022-2-2-2000000002-200000000-2-2220000000000
χ20222222222222-2-20000-2-2-2-222220000-2-222-200000000-220000000022-2-20000000000
χ2122222222-2-2-2-222000022-2-222-2-222220000-222000000000000-2-2-2-200000000000000
χ2222222222-2-2-2-222000022-2-222-2-2-2-2-2-20000-2-2-2000000000000222200000000000000
χ2322222222-2-2-2-2222222-2-222-2-22200000000-20000002200-2-2-2-2000000000000000000
χ2422222222-2-2-2-222-2-2-2-2-2-222-2-22200000000-2000000-2-2002222000000000000000000
χ2522222222-2-2-2-2-2-2000022-2-2-2-22222-2-2000022-2000000000000-2-22200000000000000
χ2622222222-2-2-2-2-2-2000022-2-2-2-222-2-22200002-2200000000000022-2-200000000000000
χ2722222222-2-2-2-2-2-222-2-2-2-22222-2-20000000020000002-200-2-222000000000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-22222-2-2000000002000000-220022-2-2000000000000000000
χ29222222-2-22-22-20000222-22-200000022220000-200000-2-20002-2002-22-2000000000000
χ30222222-2-22-22-20000222-22-2000000-2-2-2-20000200000-220002-200-22-22000000000000
χ31222222-2-22-22-20000-2-22-22-200000022-2-20000-20000022000-22002-2-22000000000000
χ32222222-2-22-22-20000-2-22-22-2000000-2-22200002000002-2000-2200-222-2000000000000
χ33222222-2-22-22-2002200-22-220000220022000-200000-20-202-2002-200-22000000000000
χ34222222-2-22-22-2002200-22-220000-2-200-2-2000200000-20202-200-22002-2000000000000
χ35222222-2-22-22-200-2-200-22-2200002200-2-2000-2000002020-22002-2002-2000000000000
χ36222222-2-22-22-200-2-200-22-220000-2-2002200020000020-20-2200-2200-22000000000000
χ37222222-2-2-22-22000022-222-20000220000220-2000000-20-200-22-2200002-20000000000
χ38222222-2-2-22-22000022-222-20000-2-20000-2-202000000-20200-222-20000-220000000000
χ39222222-2-2-22-220000-2-2-222-20000220000-2-20-2000000202002-2-220000-220000000000
χ40222222-2-2-22-220000-2-2-222-20000-2-20000220200000020-2002-22-200002-20000000000
χ41222222-2-2-22-220022002-2-2200000022002200-20000-200-2-220000-2200-220000000000
χ42222222-2-2-22-220022002-2-22000000-2-200-2-20020000-2002-2200002-2002-20000000000
χ43222222-2-2-22-2200-2-2002-2-220000002200-2-200-2000020022-20000-22002-20000000000
χ44222222-2-2-22-2200-2-2002-2-22000000-2-200220020000200-22-200002-200-220000000000
χ454444-4-4-4400004-40000000000000000000000022-2-200000000000000002-200000000
χ464444-4-4-4400004-400000000000000000000000-2-2220000000000000000-2200000000
χ474444-4-4-440000-440000000000000000000000022-2-20000000000000000-2200000000
χ484444-4-4-440000-4400000000000000000000000-2-22200000000000000002-200000000
χ4944-4-44-400040-4000000000000000000004i−4i0002-22-2000000000000000000002i−2i0000
χ5044-4-44-400040-4000000000000000000004i−4i000-22-2200000000000000000000−2i2i0000
χ5144-4-44-400040-400000000000000000000−4i4i0002-22-200000000000000000000−2i2i0000
χ5244-4-44-400040-400000000000000000000−4i4i000-22-22000000000000000000002i−2i0000
χ5344-4-4-440040-400000000000000000004i−4i000002-2-220000000000000000002i−2i000000
χ5444-4-4-440040-400000000000000000004i−4i00000-222-2000000000000000000−2i2i000000
χ5544-4-4-440040-40000000000000000000−4i4i000002-2-22000000000000000000−2i2i000000
χ5644-4-4-440040-40000000000000000000−4i4i00000-222-20000000000000000002i−2i000000
χ578888-8-88-800000000000000000000000000000000000000000000000000000000000
χ5888-8-88-8000-8080000000000000000000000000000000000000000000000000000000
χ5988-8-8-8800-80800000000000000000000000000000000000000000000000000000000
χ608-88-80000000000000000004-4004-44-40000000000000000000000000000000000000
χ618-88-80000000000000000004-400-44-440000000000000000000000000000000000000
χ628-88-8000000000000000000-44004-4-440000000000000000000000000000000000000
χ638-88-8000000000000000000-4400-444-40000000000000000000000000000000000000
χ648-8-8800000000004-44-40000004-400000000000000000000000000000000000000000
χ658-8-8800000000004-4-44000000-4400000000000000000000000000000000000000000
χ668-8-880000000000-444-4000000-4400000000000000000000000000000000000000000
χ678-8-880000000000-44-440000004-400000000000000000000000000000000000000000

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