Finite Group Databasebeta

← Group #72224924

Character table — Group #72224924

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size1111222222222244444444448888888888888888161616161616161616161616161616161616161632323232323232323232323232323232
order12222244444444448888888844448888888888888888161616161616161616161616161616162222224444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-11-111-1-111-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-11-11-1-111-1-111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-11-1111-1-1-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-11-1-1-11111-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-1-1-1-1-1-1-111
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111111-1-1
χ11111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-11-1-1-1-111-1-1
χ12111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11111-1-111
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ172222222222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-222-2-200000000000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-22200000000000000000000000000000000
χ192222222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-22200000000000000000000000000000000
χ202222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-200000000000000000000000000000000
χ21222222-2-2-2-22222-2-22222-2-2-2-222-2-222-2-20000000000000000000022-2-222-2-20000000000000000
χ22222222-2-2-2-22222-2-22222-2-2-2-222-2-222-2-200000000000000000000-2-222-2-2220000000000000000
χ23222222-2-2-2-22222-2-22222-2-2-2-2-2-222-2-2220000000000000000000022-2-2-2-2220000000000000000
χ24222222-2-2-2-22222-2-22222-2-2-2-2-2-222-2-22200000000000000000000-2-22222-2-20000000000000000
χ25222222-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-22200000000000022-2-222-2-2000000000000000000000000
χ26222222-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-222000000000000-2-222-2-222000000000000000000000000
χ27222222-2-2-2-22222-2-2-2-2-2-22222-2-22222-2-200000000000022-2-2-2-222000000000000000000000000
χ28222222-2-2-2-22222-2-2-2-2-2-22222-2-22222-2-2000000000000-2-22222-2-2000000000000000000000000
χ292222-2-2222222-2-2-2-222-2-222-2-22i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000020-2000002i−2i00
χ302222-2-2222222-2-2-2-222-2-222-2-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000-20200000−2i2i00
χ312222-2-2222222-2-2-2-222-2-222-2-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000020-200000−2i2i00
χ322222-2-2222222-2-2-2-222-2-222-2-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000-202000002i−2i00
χ332222-2-2222222-2-2-2-2-2-222-2-2222i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000020-20000002i−2i
χ342222-2-2222222-2-2-2-2-2-222-2-2222i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000-202000000−2i2i
χ352222-2-2222222-2-2-2-2-2-222-2-222−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000020-2000000−2i2i
χ362222-2-2222222-2-2-2-2-2-222-2-222−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000-2020000002i−2i
χ372222-2-2-2-2-2-222-2-22222-2-2-2-2222i−2i−2i2i2i−2i−2i2i0000000000000000000000000000002-20000002i−2i0000
χ382222-2-2-2-2-2-222-2-22222-2-2-2-2222i−2i−2i2i2i−2i−2i2i000000000000000000000000000000-22000000−2i2i0000
χ392222-2-2-2-2-2-222-2-22222-2-2-2-222−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000002-2000000−2i2i0000
χ402222-2-2-2-2-2-222-2-22222-2-2-2-222−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000-220000002i−2i0000
χ412222-2-2-2-2-2-222-2-222-2-22222-2-22i−2i−2i2i−2i2i2i−2i00000000000000000000000000002-20000002i−2i000000
χ422222-2-2-2-2-2-222-2-222-2-22222-2-22i−2i−2i2i−2i2i2i−2i0000000000000000000000000000-22000000−2i2i000000
χ432222-2-2-2-2-2-222-2-222-2-22222-2-2−2i2i2i−2i2i−2i−2i2i00000000000000000000000000002-2000000−2i2i000000
χ442222-2-2-2-2-2-222-2-222-2-22222-2-2−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000-220000002i−2i000000
χ4544444444-4-4-4-4-4-44-40000000000000000000000004-40000000000000000000000000000000000
χ4644444444-4-4-4-4-4-44-4000000000000000000000000-440000000000000000000000000000000000
χ47444444-4-444-4-4-4-4-44000000000000000000000000004-400000000000000000000000000000000
χ48444444-4-444-4-4-4-4-4400000000000000000000000000-4400000000000000000000000000000000
χ494444-4-444-4-4-4-444-440000000000000000000044-4-4000000000000000000000000000000000000
χ504444-4-444-4-4-4-444-4400000000000000000000-4-444000000000000000000000000000000000000
χ514444-4-4-4-444-4-4444-4000000000000000044-4-40000000000000000000000000000000000000000
χ524444-4-4-4-444-4-4444-40000000000000000-4-4440000000000000000000000000000000000000000
χ534-4-444-400004-44-40000004-44-40000000000000000000000004-400000000000000000000000000
χ544-4-444-400004-44-40000004-44-4000000000000000000000000-4400000000000000000000000000
χ554-4-444-400004-44-4000000-44-44000000000000000000000000004-4000000000000000000000000
χ564-4-444-400004-44-4000000-44-4400000000000000000000000000-44000000000000000000000000
χ574-4-444-40000-44-44004-44-400000000000000000000000000000000004-400000000000000000000
χ584-4-444-40000-44-44004-44-40000000000000000000000000000000000-4400000000000000000000
χ594-4-444-40000-44-4400-44-44000000000000000000000000000000004-40000000000000000000000
χ604-4-444-40000-44-4400-44-4400000000000000000000000000000000-440000000000000000000000
χ614-4-44-4400004-4-440000004-4-44000000000000000000004-4000000000000000000000000000000
χ624-4-44-4400004-4-440000004-4-4400000000000000000000-44000000000000000000000000000000
χ634-4-44-4400004-4-44000000-444-400000000000000000000004-40000000000000000000000000000
χ644-4-44-4400004-4-44000000-444-40000000000000000000000-440000000000000000000000000000
χ654-4-44-440000-444-4004-4-440000000000000000000000000000000000004-4000000000000000000
χ664-4-44-440000-444-4004-4-44000000000000000000000000000000000000-44000000000000000000
χ674-4-44-440000-444-400-444-4000000000000000000000000000000000000004-40000000000000000
χ684-4-44-440000-444-400-444-400000000000000000000000000000000000000-440000000000000000
χ6988-8-800008-8000000000000000000000000004-44-4000000000000000000000000000000000000
χ7088-8-800008-800000000000000000000000000-44-44000000000000000000000000000000000000
χ7188-8-80000-88000000000000000000000000004-4-44000000000000000000000000000000000000
χ7288-8-80000-8800000000000000000000000000-444-4000000000000000000000000000000000000
χ738-88-8008-80000000000000000000000004-44-40000000000000000000000000000000000000000
χ748-88-8008-8000000000000000000000000-44-440000000000000000000000000000000000000000
χ758-88-800-880000000000000000000000004-4-440000000000000000000000000000000000000000
χ768-88-800-88000000000000000000000000-444-40000000000000000000000000000000000000000

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