Finite Group Databasebeta

← Group #72260584

Character table — Group #72260584

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size111122222222224444444444888888881616161616161616161616161616161616161616161616161616161616161616323232323232323232323232
order1222222222222222222244442222224422224444444444444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ511111111111111111111111111111111-1-111-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ711111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ91111111-1-1-1-1111-1-1-1-111-1-11111-1-1-111-11-11111-1-111-1-11-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-1
χ101111111-1-1-1-1111-1-1-1-111-1-11111-1-1-111-11-11111-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1
χ111111111-1-1-1-1111-1-1-1-111-1-11111-1-1-111-11-1-1-111-1-111-1-11-111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-111
χ121111111-1-1-1-1111-1-1-1-111-1-11111-1-1-111-11-1-1-111-1-1-1-1111-1111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111
χ131111111-1-1-1-1111-1-1-1-111-1-11111-1-1-111-1-1111-1-11111-1-1-11-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-111
χ141111111-1-1-1-1111-1-1-1-111-1-11111-1-1-111-1-1111-1-111-1-111-11-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111
χ151111111-1-1-1-1111-1-1-1-111-1-11111-1-1-111-1-11-1-1-1-11111-1-1-1111-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1
χ161111111-1-1-1-1111-1-1-1-111-1-11111-1-1-111-1-11-1-1-1-111-1-111-11111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1
χ1722222222222222222222-2-2-2-22-22-2-2-2-2-20000000022220000000000000000-2-2-2-2000000000000
χ1822222222222222222222-2-2-2-22-22-2-2-2-2-200000000-2-2-2-200000000000000002222000000000000
χ192222222222222222-2-2-2-22222-2-2-2-2-2-222002200000000002200000000-2-2-2-20000000000000000
χ202222222222222222-2-2-2-22222-2-2-2-2-2-22200-2-20000000000-2-20000000022220000000000000000
χ212222222222222222-2-2-2-2-2-2-2-2-22-2222-2-2000000000000000022-2-222-2-200000000000000000000
χ222222222222222222-2-2-2-2-2-2-2-2-22-2222-2-20000000000000000-2-222-2-22200000000000000000000
χ232222222-2-2-2-2222-2-222-2-222-2-2-222-2-22-22000000000000000022-2-2-2-22200000000000000000000
χ242222222-2-2-2-2222-2-222-2-222-2-2-222-2-22-220000000000000000-2-22222-2-200000000000000000000
χ252222222-2-2-2-2222-2-222-2-2-2-222-2-2222-22-200220000000000-2-200000000-2-2220000000000000000
χ262222222-2-2-2-2222-2-222-2-2-2-222-2-2222-22-200-2-20000000000220000000022-2-20000000000000000
χ272222222-2-2-2-2222-2-2-2-22222-2-22-2-222-2-220000000022-2-20000000000000000-2-222000000000000
χ282222222-2-2-2-2222-2-2-2-22222-2-22-2-222-2-2200000000-2-222000000000000000022-2-2000000000000
χ2922222-2-22222-2-22-2-222222222-22-22-2-2-2-22200-2-2-2-2000022000000000000000000000000000000
χ3022222-2-22222-2-22-2-222222222-22-22-2-2-2-2-2-20022220000-2-2000000000000000000000000000000
χ3122222-2-22222-2-22-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000002-22-200000000
χ3222222-2-22222-2-22-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000-22-2200000000
χ3322222-2-22222-2-22-2-2-2-2-2-222222-22-222-2-200000000000000000000000000000000000000002-22-2
χ3422222-2-22222-2-22-2-2-2-2-2-222222-22-222-2-20000000000000000000000000000000000000000-22-22
χ3522222-2-22222-2-22-2-2-2-2-2-2-2-2-2-22222-2-2220000000000000000000000000000000000002i−2i2i−2i0000
χ3622222-2-22222-2-22-2-2-2-2-2-2-2-2-2-22222-2-222000000000000000000000000000000000000−2i2i−2i2i0000
χ3722222-2-2-2-2-2-2-2-222222-2-222-2-222-2-22-22-20000000000000000000000000000000000002i−2i−2i2i0000
χ3822222-2-2-2-2-2-2-2-222222-2-222-2-222-2-22-22-2000000000000000000000000000000000000−2i2i2i−2i0000
χ3922222-2-2-2-2-2-2-2-222222-2-2-2-2222-2-22-22-2200000000000000000000000000000000000000002-2-22
χ4022222-2-2-2-2-2-2-2-222222-2-2-2-2222-2-22-22-220000000000000000000000000000000000000000-222-2
χ4122222-2-2-2-2-2-2-2-2222-2-22222-2-2-2-222-222-2000000000000000000000000000000002-2-2200000000
χ4222222-2-2-2-2-2-2-2-2222-2-22222-2-2-2-222-222-200000000000000000000000000000000-222-200000000
χ4322222-2-2-2-2-2-2-2-2222-2-222-2-222-222-22-2-222-200-2-22200002-2000000000000000000000000000000
χ4422222-2-2-2-2-2-2-2-2222-2-222-2-222-222-22-2-22-220022-2-20000-22000000000000000000000000000000
χ454444-44-444-4-44-4-44-4000000000000000022002-22-20000-2-2000000000000000000000000000000
χ464444-44-444-4-44-4-44-40000000000000000-2-200-22-22000022000000000000000000000000000000
χ474444-44-4-4-4444-4-4-4400000000000000002-2002-2-220000-22000000000000000000000000000000
χ484444-44-4-4-4444-4-4-440000000000000000-2200-222-200002-2000000000000000000000000000000
χ494444-4-4444-4-4-44-4-4400000000000000002200-22-220000-2-2000000000000000000000000000000
χ504444-4-4444-4-4-44-4-440000000000000000-2-2002-22-2000022000000000000000000000000000000
χ514444-4-44-4-444-44-44-400000000000000002-200-222-20000-22000000000000000000000000000000
χ524444-4-44-4-444-44-44-40000000000000000-22002-2-2200002-2000000000000000000000000000000
χ534-4-444004-44-400-40000004-44-400000000000000002i−2i2i−2i00000000000000002i−2i2i−2i000000000000
χ544-4-444004-44-400-40000004-44-40000000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i000000000000
χ554-4-444004-44-400-4000000-44-4400000000000000002i−2i2i−2i0000000000000000−2i2i−2i2i000000000000
χ564-4-444004-44-400-4000000-44-440000000000000000−2i2i−2i2i00000000000000002i−2i2i−2i000000000000
χ574-4-44400-44-4400-40000004-4-4400000000000000002i−2i−2i2i0000000000000000−2i2i2i−2i000000000000
χ584-4-44400-44-4400-40000004-4-440000000000000000−2i2i2i−2i00000000000000002i−2i−2i2i000000000000
χ594-4-44400-44-4400-4000000-444-400000000000000002i−2i−2i2i00000000000000002i−2i−2i2i000000000000
χ604-4-44400-44-4400-4000000-444-40000000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i000000000000
χ614-4-44-4004-4-44004004-44-4000000000000002-200000000002-2000000002-22-20000000000000000
χ624-4-44-4004-4-44004004-44-400000000000000-220000000000-2200000000-22-220000000000000000
χ634-4-44-4004-4-4400400-44-44000000000000002-200000000002-200000000-22-220000000000000000
χ644-4-44-4004-4-4400400-44-4400000000000000-220000000000-22000000002-22-20000000000000000
χ654-4-44-400-444-4004004-4-44000000000000002-20000000000-2200000000-222-20000000000000000
χ664-4-44-400-444-4004004-4-4400000000000000-2200000000002-2000000002-2-220000000000000000
χ674-4-44-400-444-400400-444-4000000000000002-20000000000-22000000002-2-220000000000000000
χ684-4-44-400-444-400400-444-400000000000000-2200000000002-200000000-222-20000000000000000
χ6988-8-800800000-8000000000000000000000000000000000000000004i−4i00000000000000000000
χ7088-8-800800000-800000000000000000000000000000000000000000−4i4i00000000000000000000
χ7188-8-800-800000800000000000000000000000000000000000004-4000000000000000000000000
χ7288-8-800-80000080000000000000000000000000000000000000-44000000000000000000000000
χ738-88-80800000-80000000000000000000000000000000000004i−4i00000000000000000000000000
χ748-88-80800000-8000000000000000000000000000000000000−4i4i00000000000000000000000000
χ758-88-80-800000800000000000000000000000000000000000000004-40000000000000000000000
χ768-88-80-80000080000000000000000000000000000000000000000-440000000000000000000000

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