Finite Group Databasebeta

← Group #72234143

Character table — Group #72234143

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size111122222244448888888888888888888888881616161616161616161616161616161616161616161632323232323264646464
order1222222222444422222222222222224444444422224444444444444444444488884444
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-111-1-11-1-1-1-1-111-1-1
χ611111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-11111-1-111
χ711111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-111-1-111-1-1-1-111-11-1-1-1-1-1-111
χ811111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11111111-1-1
χ91111111111-1-11111111111111111111-1-1-11111-1-11-111-1-1-1-11-1-1-1-1-1-1-11111-1-111-1-11-11-1
χ101111111111-1-11111111111111111111-1-1-11111-1-1-11-1-111-1-1-11-1-1-1-1-1-11111-1-1-1-111-11-11
χ111111111111-1-1111111-1-1-1-1-1-1-1-111111-1-1-11111-1-11-111-1-1-1-11-11111-1-1-1-1-1-11111-1-1-11-11
χ121111111111-1-1111111-1-1-1-1-1-1-1-111111-1-1-11111-1-1-11-1-111-1-1-111111-1-1-1-1-1-111-1-1111-11-1
χ131111111111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-11-111-1-1111-1-1-1111111-1-1-11-1-1111-1-11
χ141111111111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11-1-11111-11-1-1111111-1-1-1111-1-1-111-1
χ151111111111-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-111-1-1111-111-1-111-1-1111-1-1-111-111-1
χ161111111111-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1111-1-111-1-1111-111-1-11-1-11
χ1722222222222222222200000000-2-2-2-22222-2-2-2-2-2-200000022000000-2-200000000000000
χ1822222222222222-2-2-2-200000000-2-2-2-222222222-2-2000000-2-20000002200000000000000
χ19222222222222-2-200000000222222-2-2-2-2-2200002-2000000000000220000-2-20-200000000
χ20222222222222-2-200000000-2-2-2-222-2-2-2-2-2200002-2000000000000-2-20000220200000000
χ21222222222222-2-2000022220000-2-222-2-2-220000-220000000000220000-2-200-2000000000
χ22222222222222-2-20000-2-2-2-20000-2-222-2-2-220000-220000000000-2-2000022002000000000
χ232222222222-2-222222200000000-2-2-2-22-2-2-2-2-2-2-222000000-2-20000002200000000000000
χ242222222222-2-222-2-2-2-200000000-2-2-2-22-2-2-222222200000022000000-2-200000000000000
χ252222222222-2-2-2-200000000222222-2-2-222-20000-22000000000000-2-20000-2-20200000000
χ262222222222-2-2-2-200000000-2-2-2-222-2-2-222-20000-22000000000000220000220-200000000
χ272222222222-2-2-2-2000022220000-2-222-222-200002-20000000000-2-20000-2-2002000000000
χ282222222222-2-2-2-20000-2-2-2-20000-2-222-222-200002-200000000002200002200-2000000000
χ2922222-2-2-2-22002222-2-2000000002-22-2-200022-2-20002002-2000-2000000000000002-20000
χ3022222-2-2-2-22002222-2-2000000002-22-2-200022-2-2000-200-22000200000000000000-220000
χ3122222-2-2-2-22002222-2-200000000-22-22-2000-2-22200202-20000-200000000000002-2000000
χ3222222-2-2-2-22002222-2-200000000-22-22-2000-2-22200-20-22000020000000000000-22000000
χ3322222-2-2-2-220022-2-222000000002-22-2-2000-2-2220002002-2000-200000000000000-220000
χ3422222-2-2-2-220022-2-222000000002-22-2-2000-2-222000-200-220002000000000000002-20000
χ3522222-2-2-2-220022-2-22200000000-22-22-200022-2-200202-20000-20000000000000-22000000
χ3622222-2-2-2-220022-2-22200000000-22-22-200022-2-200-20-220000200000000000002-2000000
χ3744444-4-4-4-4400-4-40000000000004-4-444000000000000000000000000000000000000000
χ3844444-4-4-4-4400-4-4000000000000-444-44000000000000000000000000000000000000000
χ394444-44-4-44-444000000000000000000000-400000022-2-2-2-2002200000000000000000000
χ404444-44-4-44-444000000000000000000000-4000000-2-2222200-2-200000000000000000000
χ414444-44-4-44-4-4-400000000000000000000040000002-2-2-222002-200000000000000000000
χ424444-44-4-44-4-4-40000000000000000000004000000-2222-2-200-2200000000000000000000
χ434444-4-444-4-40000000000000000000004-4000000022-22-2200-2-200000000000000000000
χ444444-4-444-4-40000000000000000000004-40000000-2-22-22-2002200000000000000000000
χ454444-4-444-4-4000000000000000000000-4400000002-2-222-200-2200000000000000000000
χ464444-4-444-4-4000000000000000000000-440000000-222-2-22002-200000000000000000000
χ4744-4-4-400004004-4004-422-2-222-2-20000000000000000000000000000002-22-20000000000
χ4844-4-4-400004004-4004-4-2-222-2-222000000000000000000000000000000-22-220000000000
χ4944-4-4-400004004-400-4422-2-2-2-2220000000000000000000000000000002-2-220000000000
χ5044-4-4-400004004-400-44-2-22222-2-2000000000000000000000000000000-222-20000000000
χ5144-4-4-40000400-444-40022-2-222-2-2000000000000000000000000000000-22-220000000000
χ5244-4-4-40000400-444-400-2-222-2-2220000000000000000000000000000002-22-20000000000
χ5344-4-4-40000400-44-440022-2-2-2-222000000000000000000000000000000-222-20000000000
χ5444-4-4-40000400-44-4400-2-22222-2-20000000000000000000000000000002-2-220000000000
χ554-4-440-400404-40000002-22-22-22-2000000002-22-20000000000002-22-22-200000000000000
χ564-4-440-400404-40000002-22-2-22-2200000000-22-220000000000002-2-22-2200000000000000
χ574-4-440-400404-4000000-22-222-22-200000000-22-22000000000000-222-2-2200000000000000
χ584-4-440-400404-4000000-22-22-22-22000000002-22-2000000000000-22-222-200000000000000
χ594-4-440-40040-440000002-22-22-22-2000000002-22-2000000000000-22-22-2200000000000000
χ604-4-440-40040-440000002-22-2-22-2200000000-22-22000000000000-222-22-200000000000000
χ614-4-440-40040-44000000-22-222-22-200000000-22-220000000000002-2-222-200000000000000
χ624-4-440-40040-44000000-22-22-22-22000000002-22-20000000000002-22-2-2200000000000000
χ6388-8-880000-80000000000000000000000000000000000004i−4i0000000000000000000000
χ6488-8-880000-8000000000000000000000000000000000000−4i4i0000000000000000000000
χ658-88-8008-8000000000000004-4-4400000000000000000000000000000000000000000000
χ668-88-8008-800000000000000-444-400000000000000000000000000000000000000000000
χ678-88-800-8800000000004-4-44000000000000000000000000000000000000000000000000
χ688-88-800-880000000000-444-4000000000000000000000000000000000000000000000000
χ698-8-880800-800000000000000000000000004-4-4400000000000000000000000000000000
χ708-8-880800-80000000000000000000000000-444-400000000000000000000000000000000

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