Finite Group Databasebeta

← Group #72266439

Character table — Group #72266439

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111222222448888888888888161616161616161616161616161616161616161616161616161616161616323232323264646464
order1222222222222222222222244222244444444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1
χ31111111111111111111111111-1-11111-1-1-1-111-1-111111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-11111
χ511111111111111111-1-1-1-111111111111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1
χ611111111111111111-1-1-1-1111111-1-1111111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111
χ711111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-11111-1-111
χ811111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1111111-1-1
χ91111111111111-1-1-1-1111111111-111-1-111-1-1-1-11-111-1-1-1-1-1-1-1-1111111-111-1-11-11-1
χ101111111111111-1-1-1-1111111111-1-1-1-1-111-1-1-1-11-1-1-11111111111-1-1-1-1-111-1-1-11-11
χ111111111111111-1-1-1-111111111-1111-1-1-1-111-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-111-11-11
χ121111111111111-1-1-1-111111111-11-1-1-1-1-1-111-1-1-11-1-11111111111-1-1-1-1-1-1-1111-11-1
χ131111111111111-1-1-1-1-1-1-1-111111-111-1-111-1-1111-1-1-1-1-1-1-11111-1-111-1-11-1-1111-1-11
χ141111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1111-1111111-1-1-1-1-1-1-1-1111-1-111-111-1
χ151111111111111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-11-1-1-1-1-1-11111-1-111-1-1111-1-1-111-1
χ161111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-11111-11111111-1-1-1-1-1-1-1-111111-1-11-1-11
χ17222222222222222222222-2-2-2-20000-2-2000022000000000000-2-20000-200000000
χ1822222222222222222-2-2-2-2-2-2-2-20000-2-20000-2-2000000000000220000200000000
χ192222222222222-2-2-2-22222-2-2-2-20000220000-2-2000000000000-2-20000200000000
χ202222222222222-2-2-2-2-2-2-2-2-2-2-2-2000022000022000000000000220000-200000000
χ212222222222-2-2-222-2-2000022-2-200222-2000000000022-2-2000000-2-200000000000
χ222222222222-2-2-222-2-2000022-2-200-2-22-20000000000-2-2220000002200000000000
χ232222222222-2-2-222-2-20000-2-2220000-220000000022000022-2-20000-2-2000000000
χ242222222222-2-2-222-2-20000-2-2220000-2200000000-2-20000-2-222000022000000000
χ252222222222-2-2-2-2-222000022-2-20022-220000000000-2-222000000-2-200000000000
χ262222222222-2-2-2-2-222000022-2-200-2-2-22000000000022-2-20000002200000000000
χ272222222222-2-2-2-2-2220000-2-22200002-200000000220000-2-2220000-2-2000000000
χ282222222222-2-2-2-2-2220000-2-22200002-200000000-2-2000022-2-2000022000000000
χ292222-2-22-2-2222-2000022-2-22-22-202000000-2-2000200000000002-200000002-20000
χ302222-2-22-2-2222-2000022-2-22-22-20-200000022000-200000000002-20000000-220000
χ312222-2-22-2-2222-2000022-2-2-22-22200000-2-20000200000000000-22000002-2000000
χ322222-2-22-2-2222-2000022-2-2-22-22-200000220000-200000000000-2200000-22000000
χ332222-2-22-2-2222-20000-2-2222-22-202000000-2-200020000000000-220000000-220000
χ342222-2-22-2-2222-20000-2-2222-22-20-200000022000-20000000000-2200000002-20000
χ352222-2-22-2-2222-20000-2-222-22-22200000-2-200002000000000002-200000-22000000
χ362222-2-22-2-2222-20000-2-222-22-22-200000220000-2000000000002-2000002-2000000
χ3744444-4-44-4-4000004-4000000002200002-22-200-2-20000000000000000000000000
χ3844444-4-44-4-4000004-400000000-2-20000-22-2200220000000000000000000000000
χ3944444-4-44-4-400000-44000000002-200002-2-2200-220000000000000000000000000
χ4044444-4-44-4-400000-4400000000-220000-222-2002-20000000000000000000000000
χ414444-44-4-44-40004-40000000000220000-22-2200-2-20000000000000000000000000
χ424444-44-4-44-40004-40000000000-2-200002-22-200220000000000000000000000000
χ434444-44-4-44-4000-4400000000002-20000-222-200-220000000000000000000000000
χ444444-44-4-44-4000-440000000000-2200002-2-22002-20000000000000000000000000
χ454444-4-44-4-44-4-44000000004-4-44000000000000000000000000000000000000000
χ464444-4-44-4-44-4-4400000000-444-4000000000000000000000000000000000000000
χ474-4-4400-40044-400000004-40000002-200000000002-200000000002-22-2000000000
χ484-4-4400-40044-400000004-4000000-220000000000-220000000000-22-22000000000
χ494-4-4400-40044-40000000-440000002-20000000000-2200000000002-2-22000000000
χ504-4-4400-40044-40000000-44000000-2200000000002-20000000000-222-2000000000
χ514-4-4400-4004-44000004-4000000002-200000000002-20000000000-22-22000000000
χ524-4-4400-4004-44000004-400000000-220000000000-2200000000002-22-2000000000
χ534-4-4400-4004-4400000-44000000002-20000000000-220000000000-222-2000000000
χ544-4-4400-4004-4400000-4400000000-2200000000002-200000000002-2-22000000000
χ5588-8-80800-8000000000000000000000000000000000000004i−4i000000000000000
χ5688-8-80800-800000000000000000000000000000000000000−4i4i000000000000000
χ5788-8-80-8008000000000000000000000000000000004-4000000000000000000000
χ5888-8-80-800800000000000000000000000000000000-44000000000000000000000
χ598-88-8800-800000000000000000000000000000000000004i−4i00000000000000000
χ608-88-8800-80000000000000000000000000000000000000−4i4i00000000000000000
χ618-88-8-8008000000000000000000000000000000000004-40000000000000000000
χ628-88-8-800800000000000000000000000000000000000-440000000000000000000
χ638-8-8800800-800000000000000000000000004-4000000000000000000000000000
χ648-8-8800800-80000000000000000000000000-44000000000000000000000000000

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