Finite Group Databasebeta

← Group #72241166

Character table — Group #72241166

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size1111222222222244444444448888888888888888161616161616161616161616161616161616161632323232323232323232323232323232
order1222222222222222222244442222222222222244224444444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ711111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ811111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ911111-1-1-1-111111-1-1-1-111-1-11111-1-1-11111-1-1-1-111-11-1111-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ1011111-1-1-1-111111-1-1-1-111-1-11111-1-1-11111-1-1-1-111-11-1111-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111
χ1111111-1-1-1-111111-1-1-1-111-1-11111-1-1-11111-1-1-1-111-1-11-1-1-111111-1-111-1-111-1-111-1-1-1-111-1-111-1-111
χ1211111-1-1-1-111111-1-1-1-111-1-11111-1-1-11111-1-1-1-111-1-11-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1
χ1311111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1111111-11-1111-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1
χ1411111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1111111-11-1111-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111
χ1511111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1111111-1-11-1-1-111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ1611111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1111111-1-11-1-1-1111-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1
χ1722222222222222222222-2-2-2-22-22-2-222222222-2-2-2000000000000-2-2-2-200000000000000000000
χ1822222222222222222222-2-2-2-22-22-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000222200000000000000000000
χ192222222222222222-2-2-2-22222-2-2-2-2-200000000-2220000000022220000-2-2-2-20000000000000000
χ202222222222222222-2-2-2-22222-2-2-2-2-200000000-22200000000-2-2-2-2000022220000000000000000
χ212222222222222222-2-2-2-2-2-2-2-2-22-222000000002-2-2000000000000000000002-22-2000000000000
χ222222222222222222-2-2-2-2-2-2-2-2-22-222000000002-2-200000000000000000000-22-22000000000000
χ23222222222-2-2-2-22-2-222222222-22-22-200000000-2-2-2222-2-22-2-20000000000000000000000000000
χ24222222222-2-2-2-22-2-222222222-22-22-200000000-2-2-2-2-2-222-2220000000000000000000000000000
χ25222222222-2-2-2-22-2-22222-2-2-2-2-2-2-2-22000000002220000000000000000000000002-22-200000000
χ26222222222-2-2-2-22-2-22222-2-2-2-2-2-2-2-2200000000222000000000000000000000000-22-2200000000
χ27222222222-2-2-2-22-2-2-2-2-2-222222-22-22000000002-2-2000000000000000000000000000000002-22-2
χ28222222222-2-2-2-22-2-2-2-2-2-222222-22-22000000002-2-200000000000000000000000000000000-22-22
χ29222222222-2-2-2-22-2-2-2-2-2-2-2-2-2-22222-200000000-22200000000000000000000000000002i−2i2i−2i0000
χ30222222222-2-2-2-22-2-2-2-2-2-2-2-2-2-22222-200000000-2220000000000000000000000000000−2i2i−2i2i0000
χ3122222-2-2-2-222222-2-222-2-222-2-2-222-2-2000000002-22000000000000000000002-2-22000000000000
χ3222222-2-2-2-222222-2-222-2-222-2-2-222-2-2000000002-2200000000000000000000-222-2000000000000
χ3322222-2-2-2-222222-2-222-2-2-2-222-2-222200000000-22-20000000022-2-20000-2-2220000000000000000
χ3422222-2-2-2-222222-2-222-2-2-2-222-2-222200000000-22-200000000-2-222000022-2-20000000000000000
χ3522222-2-2-2-222222-2-2-2-22222-2-22-2-2222222-2-2-2-2-2-22000000000000-2-22200000000000000000000
χ3622222-2-2-2-222222-2-2-2-22222-2-22-2-222-2-2-2-22222-2-2200000000000022-2-200000000000000000000
χ3722222-2-2-2-2-2-2-2-222222-2-222-2-222-2-2200000000-22-200000000000000000000000000002i−2i−2i2i0000
χ3822222-2-2-2-2-2-2-2-222222-2-222-2-222-2-2200000000-22-20000000000000000000000000000−2i2i2i−2i0000
χ3922222-2-2-2-2-2-2-2-222222-2-2-2-2222-2-22-2000000002-22000000000000000000000000000000002-2-22
χ4022222-2-2-2-2-2-2-2-222222-2-2-2-2222-2-22-2000000002-2200000000000000000000000000000000-222-2
χ4122222-2-2-2-2-2-2-2-2222-2-22222-2-2-2-222-20000000022-20000000000000000000000002-2-2200000000
χ4222222-2-2-2-2-2-2-2-2222-2-22222-2-2-2-222-20000000022-2000000000000000000000000-222-200000000
χ4322222-2-2-2-2-2-2-2-2222-2-222-2-222-222-2200000000-2-222-22-2-2-2220000000000000000000000000000
χ4422222-2-2-2-2-2-2-2-2222-2-222-2-222-222-2200000000-2-22-22-2222-2-20000000000000000000000000000
χ454444-444-4-444-4-4-44-400000000000000000000000022-22-2-22-20000000000000000000000000000
χ464444-444-4-444-4-4-44-4000000000000000000000000-2-22-222-220000000000000000000000000000
χ474444-444-4-4-4-444-4-4400000000000000000000000022-2-22-2-220000000000000000000000000000
χ484444-444-4-4-4-444-4-44000000000000000000000000-2-222-222-20000000000000000000000000000
χ494444-4-4-44444-4-4-4-440000000000000000000000002-2-22-22-220000000000000000000000000000
χ504444-4-4-44444-4-4-4-44000000000000000000000000-222-22-22-20000000000000000000000000000
χ514444-4-4-444-4-444-44-40000000000000000000000002-2-2-2222-20000000000000000000000000000
χ524444-4-4-444-4-444-44-4000000000000000000000000-2222-2-2-220000000000000000000000000000
χ5344-4-444-44-40000-4004-44-400000000000000000000000000002i−2i2i−2i00002i−2i2i−2i0000000000000000
χ5444-4-444-44-40000-4004-44-40000000000000000000000000000−2i2i−2i2i0000−2i2i−2i2i0000000000000000
χ5544-4-444-44-40000-400-44-4400000000000000000000000000002i−2i2i−2i0000−2i2i−2i2i0000000000000000
χ5644-4-444-44-40000-400-44-440000000000000000000000000000−2i2i−2i2i00002i−2i2i−2i0000000000000000
χ5744-4-44-44-440000-4004-4-4400000000000000000000000000002i−2i−2i2i0000−2i2i2i−2i0000000000000000
χ5844-4-44-44-440000-4004-4-440000000000000000000000000000−2i2i2i−2i00002i−2i−2i2i0000000000000000
χ5944-4-44-44-440000-400-444-400000000000000000000000000002i−2i−2i2i00002i−2i−2i2i0000000000000000
χ6044-4-44-44-440000-400-444-40000000000000000000000000000−2i2i2i−2i0000−2i2i2i−2i0000000000000000
χ6144-4-4-44-4-44000040000004-44-40000022-2-222-2-20000000000000002-22-200000000000000000000
χ6244-4-4-44-4-44000040000004-44-400000-2-222-2-222000000000000000-22-2200000000000000000000
χ6344-4-4-44-4-4400004000000-44-440000022-2-222-2-2000000000000000-22-2200000000000000000000
χ6444-4-4-44-4-4400004000000-44-4400000-2-222-2-2220000000000000002-22-200000000000000000000
χ6544-4-4-4-444-4000040000004-4-440000022-2-2-2-222000000000000000-222-200000000000000000000
χ6644-4-4-4-444-4000040000004-4-4400000-2-22222-2-20000000000000002-2-2200000000000000000000
χ6744-4-4-4-444-400004000000-444-40000022-2-2-2-2220000000000000002-2-2200000000000000000000
χ6844-4-4-4-444-400004000000-444-400000-2-22222-2-2000000000000000-222-200000000000000000000
χ698-88-800000008-8000000000000000000004-44-4000000000000000000000000000000000000000
χ708-88-800000008-800000000000000000000-44-44000000000000000000000000000000000000000
χ718-88-80000000-8800000000000000004-44-40000000000000000000000000000000000000000000
χ728-88-80000000-880000000000000000-44-440000000000000000000000000000000000000000000
χ738-8-88000008-800000000000000000000004-4-44000000000000000000000000000000000000000
χ748-8-88000008-80000000000000000000000-444-4000000000000000000000000000000000000000
χ758-8-8800000-880000000000000000004-4-440000000000000000000000000000000000000000000
χ768-8-8800000-88000000000000000000-444-40000000000000000000000000000000000000000000

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