Finite Group Databasebeta

← Group #72318622

Character table — Group #72318622

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111224444448888888888888888161616161616161616161616161616161616161616161616161632323232323264646464
order1222222244442222222244444444222244444444444444444444444488884444
χ11111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-11111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-11-1-1-111-1111-111111111-1-1-1-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-11-1-1-111-1-1-11-1-1-1111111-1-1-1-1-1-1-111-1-111-1-111
χ511111111111111-1-11111111111-1-1-1111-1-1-1111-11111-1-1-1-111-1-1-1-1-1-1-1-1-1111-11-1
χ611111111111111-1-11111111111-1-1-1111-1-1-1-1-11-1-1-111-1-1-1-111-1-1-1-1-11111-1-1-11-11
χ711111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-1-1-11111111-1-1-1-11-1-11
χ811111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-111111-1-11111-111-1
χ9111111111111-1-111111111-1-1-1-1-1-1-11-1-11-1111-1111-1-111-1-11111-1-1-1-1-111-1-1-1-111
χ10111111111111-1-111111111-1-1-1-1-1-1-11-1-11-11-1-1-11-1-1-1-111-1-11111-1-1-111-1-11111-1-1
χ11111111111111-1-1111111-1-1111111-1-1111-1-111-1-111-1-111-1-1-1-1-1-1111111111-1-1-1-1
χ12111111111111-1-1111111-1-1111111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-11111
χ13111111111111-1-1-1-1111111-1-1-1-11111-1-1-11-111-1-111-1-1-1-11111-1-111111-1-1-1-1-111-1
χ14111111111111-1-1-1-1111111-1-1-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-111111-1-11
χ15111111111111-1-1-1-11111-1-11111-1-11-111-11111-1111-1-1-1-111-1-111-1-1-1-1-1-1-111-11-11
χ16111111111111-1-1-1-11111-1-11111-1-11-111-111-1-1-11-1-1-1-1-1-111-1-111-1-1-11111-1-11-11-1
χ172222222222220022-2-2-2-20022222200-2-220000000000-2-20000002-2-20000000000
χ182222222222220022-2-2-2-200-2-2-2-2-2-2002220000000000-2-2000000-2220000000000
χ1922222222222200-2-2-2-2-2-2002222-2-200-2-2-2000000000022000000-2220000000000
χ2022222222222200-2-2-2-2-2-200-2-2-2-2220022-20000000000220000002-2-20000000000
χ2122222222-2-2-2-2000022-2-222000022-22000-20000000000022-2-200-22-20000000000
χ2222222222-2-2-2-2000022-2-2220000-2-222000200000000000-2-2-2-2002-220000000000
χ2322222222-2-2-2-2000022-2-2-2-20000222-2000200000000000-2-22200-22-20000000000
χ2422222222-2-2-2-2000022-2-2-2-20000-2-2-2-2000-2000000000002222002-220000000000
χ2522222222-2-2-2-22200-2-22200000022000000-2002-200-2-200000022-2-220000000000
χ2622222222-2-2-2-22200-2-222000000-2-20000002002200-2-2000000-2-222-20000000000
χ2722222222-2-2-2-2-2-200-2-22200000022000000200-220022000000-2-2-2-220000000000
χ2822222222-2-2-2-2-2-200-2-222000000-2-2000000-200-2-200220000002222-20000000000
χ29222222-2-22-22-200002-22-20022-2-200202-20-22000-20000002-2002-20000000000000
χ30222222-2-22-22-200002-22-20022-2-200-202-202-20002000000-2200-220000000000000
χ31222222-2-22-22-200002-22-200-2-2220020-220-2-200020000002-200-220000000000000
χ32222222-2-22-22-200002-22-200-2-22200-20-22022000-2000000-22002-20000000000000
χ33222222-2-22-22-22200-22-2222-2-222000-22-200000-20002-200002-2000000000000000
χ34222222-2-22-22-22200-22-22-2-222-2-20002-2200000-20002-20000-22000000000000000
χ35222222-2-22-22-2-2-200-22-222222-2-2000-2-22000002000-2200002-2000000000000000
χ36222222-2-22-22-2-2-200-22-22-2-2-2-22200022-2000002000-220000-22000000000000000
χ37222222-2-2-22-220022-222-2220000000-200-20-2000200002-200-222-20000000000000
χ38222222-2-2-22-220022-222-2-2-20000000200-202000-200002-2002-2-220000000000000
χ39222222-2-2-22-2200-2-2-222-2220000000-200202000-20000-2200-22-220000000000000
χ40222222-2-2-22-2200-2-2-222-2-2-2000000020020-200020000-22002-22-20000000000000
χ41222222-2-2-22-2222222-2-22000000002000-2-2000-2000-22-22-2200000000000000000
χ42222222-2-2-22-2222-2-22-2-2200000000-200022000-2000-222-22-200000000000000000
χ43222222-2-2-22-22-2-2222-2-2200000000-2000-2200020002-2-222-200000000000000000
χ44222222-2-2-22-22-2-2-2-22-2-220000000020002-200020002-22-2-2200000000000000000
χ454444-4-44-40000000000000000004i−4i00000002200-2-200000000000002i−2i00000000
χ464444-4-44-40000000000000000004i−4i0000000-2-200220000000000000−2i2i00000000
χ474444-4-44-4000000000000000000−4i4i00000002200-2-20000000000000−2i2i00000000
χ484444-4-44-4000000000000000000−4i4i0000000-2-2002200000000000002i−2i00000000
χ4944-4-44-400040-4004-400000000000000000002i−2i002i−2i0000000000000002i−2i000000
χ5044-4-44-400040-4004-40000000000000000000−2i2i00−2i2i000000000000000−2i2i000000
χ5144-4-44-400040-400-4400000000000000000002i−2i002i−2i000000000000000−2i2i000000
χ5244-4-44-400040-400-440000000000000000000−2i2i00−2i2i0000000000000002i−2i000000
χ5344-4-4-440040-4000000000004-4000000000002i−2i00−2i2i000000000000000002i−2i0000
χ5444-4-4-440040-4000000000004-400000000000−2i2i002i−2i00000000000000000−2i2i0000
χ5544-4-4-440040-400000000000-44000000000002i−2i00−2i2i00000000000000000−2i2i0000
χ5644-4-4-440040-400000000000-4400000000000−2i2i002i−2i000000000000000002i−2i0000
χ578888-8-8-8800000000000000000000000000000000000000000000000000000000
χ5888-8-88-8000-8080000000000000000000000000000000000000000000000000000
χ5988-8-8-8800-80800000000000000000000000000000000000000000000000000000
χ608-8-88000000004-40000004-4004-400000000000000000000000000000000000000
χ618-8-88000000004-4000000-4400-4400000000000000000000000000000000000000
χ628-8-8800000000-440000004-400-4400000000000000000000000000000000000000
χ638-8-8800000000-44000000-44004-400000000000000000000000000000000000000
χ6416-1616-16000000000000000000000000000000000000000000000000000000000000

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