Finite Group Databasebeta

← Group #72263491

Character table — Group #72263491

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size1111222222222244444444448888888888888888161616161616161616161616161616161616161632323232323232323232323232323232
order1222222222222222222244442222224444444444224444444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-111-1-1-1-1-11111-1-1-1-1
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-1-11-1-1-1-111111111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-11111-1-1-1-11111
χ911111-1-1-1-111111-1-1-1-111-1-11111-1-1-111-11111-1-1-1-11-11-11-11111-1-11-1-1-111-1-1-11-1111-1-111-1-111-1-1
χ1011111-1-1-1-111111-1-1-1-111-1-11111-1-1-111-11111-1-1-1-11-11-11-1-1-111-1-11-111-1-1111-11-1-1-111-1-11111-1-1
χ1111111-1-1-1-111111-1-1-1-111-1-11111-1-1-111-11111-1-1-1-1-11-11-111111-1-1-11-1-111-1-1-11-11-1-111-1-111-1-111
χ1211111-1-1-1-111111-1-1-1-111-1-11111-1-1-111-11111-1-1-1-1-11-11-11-1-111-1-1-1111-1-1111-11-111-1-111-1-1-1-111
χ1311111-1-1-1-111111-1-1-1-111-1-11111-1-1-111-1-1-1-1-111111-11-11-111-1-1111-1-1-1-1-111-1-11111-1-1-1-111-1-111
χ1411111-1-1-1-111111-1-1-1-111-1-11111-1-1-111-1-1-1-1-111111-11-11-1-1-1-1-1111-11111-1-111-1-1-1-11111-1-1-1-111
χ1511111-1-1-1-111111-1-1-1-111-1-11111-1-1-111-1-1-1-1-11111-11-11-1111-1-111-11-1-1-1-111-1-111-1-11111-1-111-1-1
χ1611111-1-1-1-111111-1-1-1-111-1-11111-1-1-111-1-1-1-1-11111-11-11-11-1-1-1-111-111111-1-111-1-111-1-1-1-11111-1-1
χ17222222222222222222-2-2-2-2-2-22-22-2-22-2-200000000000000000000000022220-2-20000000000000
χ18222222222222222222-2-2-2-2-2-22-22-2-22-2-2000000000000000000000000-2-2-2-20220000000000000
χ192222222222222222-2-222-2-2-2-2-22-222-2-2-20000000000000022000000220000-200-2000000000000
χ202222222222222222-2-222-2-2-2-2-22-222-2-2-200000000000000-2-2000000-2-200002002000000000000
χ212222222222222222-2-2-2-22222-2-2-2-2-2-2222222222200000000-2-2-2-2000000000000000000000000
χ222222222222222222-2-2-2-22222-2-2-2-2-2-222-2-2-2-2-2-2-2-2000000002222000000000000000000000000
χ2322222-2-2-2-222222-2-2222222-2-2-222-2-2-2-220000000000000022000000-2-20000200-2000000000000
χ2422222-2-2-2-222222-2-2222222-2-2-222-2-2-2-2200000000000000-2-2000000220000-2002000000000000
χ2522222-2-2-2-222222-2-222-2-2-2-222-2-2222-22-22222-2-2-2-200000000-2-222000000000000000000000000
χ2622222-2-2-2-222222-2-222-2-2-2-222-2-2222-22-2-2-2-2-222220000000022-2-2000000000000000000000000
χ2722222-2-2-2-222222-2-2-2-2-2-222-2-22-2-2222-2200000000000000000000000022-2-20-220000000000000
χ2822222-2-2-2-222222-2-2-2-2-2-222-2-22-2-2222-22000000000000000000000000-2-22202-20000000000000
χ292222-222-2-22-2-2-222-2222222222-2-22-2-2-2-20000000022-2-2-2-2000000220000000000000000000000
χ302222-222-2-22-2-2-222-2222222222-2-22-2-2-2-200000000-2-22222000000-2-20000000000000000000000
χ312222-222-2-22-2-2-222-222-2-2-2-2-2-222-2-22-2220000000000000000000000000000000000002i−2i2i−2i0000
χ322222-222-2-22-2-2-222-222-2-2-2-2-2-222-2-22-222000000000000000000000000000000000000−2i2i−2i2i0000
χ332222-222-2-22-2-2-222-2-2-222-2-2-2-2-2-222-2222000000000000000000000000000000002-22-200000000
χ342222-222-2-22-2-2-222-2-2-222-2-2-2-2-2-222-222200000000000000000000000000000000-22-2200000000
χ352222-222-2-22-2-2-222-2-2-2-2-22222-222-222-2-200000000000000000000000000000000000000002-22-2
χ362222-222-2-22-2-2-222-2-2-2-2-22222-222-222-2-20000000000000000000000000000000000000000-22-22
χ372222-2-2-2222-2-2-22-22222222-2-2-2-2-2-2222-2000000000000000000000000000000002-2-2200000000
χ382222-2-2-2222-2-2-22-22222222-2-2-2-2-2-2222-200000000000000000000000000000000-222-200000000
χ392222-2-2-2222-2-2-22-2222-2-2-2-222-22-22-22-2200000000000000000000000000000000000000002-2-22
χ402222-2-2-2222-2-2-22-2222-2-2-2-222-22-22-22-220000000000000000000000000000000000000000-222-2
χ412222-2-2-2222-2-2-22-22-2-222-2-2222-22-22-2-22000000002-2-22-220000002-20000000000000000000000
χ422222-2-2-2222-2-2-22-22-2-222-2-2222-22-22-2-2200000000-222-22-2000000-220000000000000000000000
χ432222-2-2-2222-2-2-22-22-2-2-2-222-2-22222-2-22-20000000000000000000000000000000000002i−2i−2i2i0000
χ442222-2-2-2222-2-2-22-22-2-2-2-222-2-22222-2-22-2000000000000000000000000000000000000−2i2i2i−2i0000
χ45444444444-4-4-44-4-4-40000000000000000000000002222-2-2000000-2-20000000000000000000000
χ46444444444-4-4-44-4-4-4000000000000000000000000-2-2-2-222000000220000000000000000000000
χ4744444-4-4-4-4-4-4-44-4440000000000000000000000002-22-2-22000000-220000000000000000000000
χ4844444-4-4-4-4-4-4-44-444000000000000000000000000-22-222-20000002-20000000000000000000000
χ494444-444-4-4-444-4-4-4400000000000000000000000022-2-222000000-2-20000000000000000000000
χ504444-444-4-4-444-4-4-44000000000000000000000000-2-222-2-2000000220000000000000000000000
χ514444-4-4-444-444-4-44-40000000000000000000000002-2-222-2000000-220000000000000000000000
χ524444-4-4-444-444-4-44-4000000000000000000000000-222-2-220000002-20000000000000000000000
χ5344-4-4-44-44-4000400000000000000000002i2i−2i−2i2i2i−2i−2i0000002i−2i0000002i−2i2-22-20000000000000000
χ5444-4-4-44-44-4000400000000000000000002i2i−2i−2i2i2i−2i−2i000000−2i2i000000−2i2i-22-220000000000000000
χ5544-4-4-44-44-400040000000000000000000−2i−2i2i2i−2i−2i2i2i0000002i−2i0000002i−2i-22-220000000000000000
χ5644-4-4-44-44-400040000000000000000000−2i−2i2i2i−2i−2i2i2i000000−2i2i000000−2i2i2-22-20000000000000000
χ5744-4-4-4-44-44000400000000000000000002i2i−2i−2i−2i−2i2i2i0000002i−2i000000−2i2i2-2-220000000000000000
χ5844-4-4-4-44-44000400000000000000000002i2i−2i−2i−2i−2i2i2i000000−2i2i0000002i−2i-222-20000000000000000
χ5944-4-4-4-44-4400040000000000000000000−2i−2i2i2i2i2i−2i−2i0000002i−2i000000−2i2i-222-20000000000000000
χ6044-4-4-4-44-4400040000000000000000000−2i−2i2i2i2i2i−2i−2i000000−2i2i0000002i−2i2-2-220000000000000000
χ614-4-4400000-40004004-44-44-400000000002-22-22-22-2000000002-22-2000000000000000000000000
χ624-4-4400000-40004004-44-44-40000000000-22-22-22-2200000000-22-22000000000000000000000000
χ634-4-4400000-40004004-4-44-4400000000002-22-2-22-2200000000-222-2000000000000000000000000
χ644-4-4400000-40004004-4-44-440000000000-22-222-22-2000000002-2-22000000000000000000000000
χ654-4-4400000-4000400-444-4-4400000000002-22-2-22-22000000002-2-22000000000000000000000000
χ664-4-4400000-4000400-444-4-440000000000-22-222-22-200000000-222-2000000000000000000000000
χ674-4-4400000-4000400-44-444-400000000002-22-22-22-200000000-22-22000000000000000000000000
χ684-4-4400000-4000400-44-444-40000000000-22-22-22-22000000002-22-2000000000000000000000000
χ6988-8-888-8-88000-8000000000000000000000000000000000000000000000000000000000000000
χ7088-8-88-888-8000-8000000000000000000000000000000000000000000000000000000000000000
χ718-88-80000008-80000000000000000000000004i−4i−4i4i000000000000000000000000000000000000
χ728-88-80000008-8000000000000000000000000−4i4i4i−4i000000000000000000000000000000000000
χ738-88-8000000-88000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000
χ748-88-8000000-8800000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000
χ758-8-88000008000-8000000008-80000000000000000000000000000000000000000000000000000
χ768-8-88000008000-800000000-880000000000000000000000000000000000000000000000000000

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