Finite Group Databasebeta

← Group #72282423

Character table — Group #72282423

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73
size1111222222224444444444488888888161616161616161616161616161616161616161616161616161616163232323232323232323232323232
order1222222244442222222444424444444222222224444444444444444888844444444888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ51111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1
χ61111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-1-1
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111
χ91111-1-1111-1-11-1-1-11111-1111-111-1-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-111-1-11-11-111-1-11-111-1-1
χ101111-1-1111-1-11-1-1-11111-1111-111-1-1-1-1111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111-111-1-1-111-11-1-111
χ111111-1-1111-1-11-1-1-11111-1111-111-1-1-1-1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1111-1-11-1-111-1111-1-1
χ121111-1-1111-1-11-1-1-11111-1111-111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-11-1111-1-11-1-1-111
χ131111-1-1111-1-11-1-1-11111-1111-111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-11-11-1-1-1111-1-1-111
χ141111-1-1111-1-11-1-1-11111-1111-111-1-1-1-11-1-11111-1-1-1-111-1-111-1-1-1-11111-1-111-111-111-1-1-1111-1-1
χ151111-1-1111-1-11-1-1-11111-1111-111-1-1-1-11-1-111-1-111-1-11111-1-11111-1-1-1-1-1-1111-1-1111-1-1-11-1-111
χ161111-1-1111-1-11-1-1-11111-1111-111-1-1-1-11-1-111-1-111-1-111-1-1111111-1-1-1-111-1-1-11-11-1-1111-111-1-1
χ1722222222222222222-2-22-2-22-22-22-2-2-2-2000022220000000000000000000000-2-20000000000
χ1822222222222222222-2-22-2-22-22-22-2-2-2-20000-2-2-2-20000000000000000000000220000000000
χ192222222222222-2-2-2-2222-2-222-22-22-2-2-2000000000000000000000000222200000000-2-20000
χ202222222222222-2-2-2-2222-2-222-22-22-2-2-2000000000000000000000000-2-2-2-200000000220000
χ212222222222222-2-2-2-2-2-22222-2-2-2-2-22220000000000002222000000000000-2-2000000000000
χ222222222222222-2-2-2-2-2-22222-2-2-2-2-2222000000000000-2-2-2-200000000000022000000000000
χ2322222222-2-2-2-22222222-222-22-2-2-2-2-22-2000000000000000022-2-222-2-2000000000000000000
χ2422222222-2-2-2-22222222-222-22-2-2-2-2-22-20000000000000000-2-222-2-222000000000000000000
χ2522222222-2-2-2-222222-2-2-2-2-2-2-2-22-222-222-22-200002-22-2000000000000000000000000000000
χ2622222222-2-2-2-222222-2-2-2-2-2-2-2-22-222-22-22-220000-22-22000000000000000000000000000000
χ2722222222-2-2-2-22-2-2-2-222-2-2-2-222-22-22-22000000000000000000000000000000000000002-22-2
χ2822222222-2-2-2-22-2-2-2-222-2-2-2-222-22-22-2200000000000000000000000000000000000000-22-22
χ2922222222-2-2-2-22-2-2-2-2-2-2-222-2-22222-22-2000000000000000000000000000000002i−2i2i−2i000000
χ3022222222-2-2-2-22-2-2-2-2-2-2-222-2-22222-22-200000000000000000000000000000000−2i2i−2i2i000000
χ312222-2-2222-2-22-222-2-222-2-2-22-2-222-222-200000000000000000000000022-2-200000000-220000
χ322222-2-2222-2-22-222-2-222-2-2-22-2-222-222-2000000000000000000000000-2-222000000002-20000
χ332222-2-2222-2-22-222-2-2-2-2-22222-2-222-2-2200000000000022-2-2000000000000-22000000000000
χ342222-2-2222-2-22-222-2-2-2-2-22222-2-222-2-22000000000000-2-2220000000000002-2000000000000
χ352222-2-2222-2-22-2-2-222-2-2-2-2-2222-2-2222-2000022-2-20000000000000000000000-220000000000
χ362222-2-2222-2-22-2-2-222-2-2-2-2-2222-2-2222-20000-2-22200000000000000000000002-20000000000
χ372222-2-222-222-2-222-2-2222-2-2-2-22-2-22-222000000000000000000000000000000000000002-2-22
χ382222-2-222-222-2-222-2-2222-2-2-2-22-2-22-22200000000000000000000000000000000000000-222-2
χ392222-2-222-222-2-222-2-2-2-2222-2222-2-22-2-2000000000000000000000000000000002i−2i−2i2i000000
χ402222-2-222-222-2-222-2-2-2-2222-2222-2-22-2-200000000000000000000000000000000−2i2i2i−2i000000
χ412222-2-222-222-2-2-2-22222222-2-2-2-2222-2-2000000000000000022-2-2-2-222000000000000000000
χ422222-2-222-222-2-2-2-22222222-2-2-2-2222-2-20000000000000000-2-22222-2-2000000000000000000
χ432222-2-222-222-2-2-2-222-2-22-2-2-22-222-2-2222-2-2200002-2-22000000000000000000000000000000
χ442222-2-222-222-2-2-2-222-2-22-2-2-22-222-2-222-222-20000-222-2000000000000000000000000000000
χ45444444-4-44444-4000000-400-40000000022220000-2-2-2-2000000000000000000000000000000
χ46444444-4-44444-4000000-400-400000000-2-2-2-200002222000000000000000000000000000000
χ47444444-4-4-4-4-4-4-40000004004000000002-22-20000-22-22000000000000000000000000000000
χ48444444-4-4-4-4-4-4-4000000400400000000-22-2200002-22-2000000000000000000000000000000
χ494444-4-4-4-44-4-444000000400-40000000022-2-20000-2-222000000000000000000000000000000
χ504444-4-4-4-44-4-444000000400-400000000-2-222000022-2-2000000000000000000000000000000
χ514444-4-4-4-4-444-44000000-4004000000002-2-220000-222-2000000000000000000000000000000
χ524444-4-4-4-4-444-44000000-400400000000-222-200002-2-22000000000000000000000000000000
χ5344-4-44-40044-4-4000000000000000000000002-22-200002i−2i2i−2i000000002i−2i2i−2i00000000000000
χ5444-4-44-40044-4-4000000000000000000000002-22-20000−2i2i−2i2i00000000−2i2i−2i2i00000000000000
χ5544-4-44-40044-4-400000000000000000000000-22-2200002i−2i2i−2i00000000−2i2i−2i2i00000000000000
χ5644-4-44-40044-4-400000000000000000000000-22-220000−2i2i−2i2i000000002i−2i2i−2i00000000000000
χ5744-4-4-44004-44-4000000000000000000000002-2-2200002i−2i−2i2i000000002i−2i−2i2i00000000000000
χ5844-4-4-44004-44-4000000000000000000000002-2-220000−2i2i2i−2i00000000−2i2i2i−2i00000000000000
χ5944-4-4-44004-44-400000000000000000000000-222-200002i−2i−2i2i00000000−2i2i2i−2i00000000000000
χ6044-4-4-44004-44-400000000000000000000000-222-20000−2i2i2i−2i000000002i−2i−2i2i00000000000000
χ614-4-4400-4400000004-44-404-4000000000000000000000000000004-400000000000000000000
χ624-4-4400-4400000004-44-404-400000000000000000000000000000-4400000000000000000000
χ634-4-4400-4400000004-4-440-4400000000000000000000000004-4000000000000000000000000
χ644-4-4400-4400000004-4-440-440000000000000000000000000-44000000000000000000000000
χ654-4-4400-440000000-444-40-4400000000000000000000000000000004-4000000000000000000
χ664-4-4400-440000000-444-40-440000000000000000000000000000000-44000000000000000000
χ674-4-4400-440000000-44-4404-40000000000000000000000000004-40000000000000000000000
χ684-4-4400-440000000-44-4404-4000000000000000000000000000-440000000000000000000000
χ6988-8-88-800-8-8880000000000000000000000000000000000000000000000000000000000000
χ7088-8-8-8800-88-880000000000000000000000000000000000000000000000000000000000000
χ718-8-88008-8000008-80000000000000000000000000000000000000000000000000000000000
χ728-8-88008-800000-880000000000000000000000000000000000000000000000000000000000
χ7316-1616-16000000000000000000000000000000000000000000000000000000000000000000000

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