Finite Group Databasebeta

← Group #72262597

Character table — Group #72262597

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size111122222244888888888888888881616161616161616161616161616161616161616161616163232323232323264646464
order1222222222442222444444444444422222224444444444444444424488884488
χ11111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11-1-1-1-11111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111-1-1111111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1
χ41111111111111111111111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-11111
χ5111111111111111111-1-1-1-111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ6111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1111111-1-1
χ7111111111111111111-1-1-1-1-1-1-1-11111-1-111111111111-1-11111-1-111-1-1-1-1-1-1-111-1-1
χ8111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-1-1-1-1-1-11111-1-111-1-1-11111-1-111
χ91111111111-1-1-1-1111-111111111111-1-1-1-1-11-11-1-11-11-1-1-1111111-1-1-11-111-1-11-11-1
χ101111111111-1-1-1-1111-111111111111-1-1-1-1-1-11-11-1-11-11-1-1111111-1-1-11-1-1-111-11-11
χ111111111111-1-1-1-1111-11111-1-1-1-1111-1-1-1111-11-1-11-11-111-1-1-1-111111-1-111-1-1-11-11
χ121111111111-1-1-1-1111-11111-1-1-1-1111-1-1-111-11-11-1-11-1111-1-1-1-111111-1-1-1-1111-11-1
χ131111111111-1-1-1-1111-1-1-1-1-11111111-111111-11-1-11-11-1-1-1-1-1-1-1-1-111-111-1-111-111-1
χ141111111111-1-1-1-1111-1-1-1-1-11111111-11111-11-11-1-11-11-1-1-1-1-1-1-1-111-11111-1-11-1-11
χ151111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1111-111-1-11-11-1-11-11-1111111-1-1-1-11-11-1-1111-1-11
χ161111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1111-111-1-1-11-11-1-11-11111111-1-1-1-11-1111-1-1-111-1
χ1722222222222222-2-22222220000-2-22-222000000-20000000000-2-20000-200000000
χ1822222222222222-2-222-2-2-2-20000-2-22-2-2-2000000-20000000000220000200000000
χ19222222222222-2-222-2200000000-2-2-2200220000-2000000-2-22200-2-200000000000
χ20222222222222-2-222-2200000000-2-2-2200-2-20000-200000022-2-2002200000000000
χ21222222222222-2-2-2-2-220000222222-2-200000000200002200000000-2-2000000000
χ22222222222222-2-2-2-2-220000-2-2-2-222-2-20000000020000-2-20000000022000000000
χ232222222222-2-22222-2-200000000-2-2-2-200220000200000022-2-200-2-200000000000
χ242222222222-2-22222-2-200000000-2-2-2-200-2-200002000000-2-222002200000000000
χ252222222222-2-222-2-2-2-20000222222-2200000000-20000-2-2000000002-2000000000
χ262222222222-2-222-2-2-2-20000-2-2-2-222-2200000000-200002200000000-22000000000
χ272222222222-2-2-2-2-2-22-222220000-2-222-2-200000020000000000-2-20000200000000
χ282222222222-2-2-2-2-2-22-2-2-2-2-20000-2-2222200000020000000000220000-200000000
χ292222-22-2-2-2200002-2-2022-2-200002-2200000020200-20-20000002-200000002-20000
χ302222-22-2-2-2200002-2-2022-2-200002-22000000-20-2002020000002-20000000-220000
χ312222-22-2-2-2200002-2-20-2-22200002-2200000020200-20-2000000-220000000-220000
χ322222-22-2-2-2200002-2-20-2-22200002-22000000-20-200202000000-2200000002-20000
χ332222-22-2-2-220000-22-2022-2-20000-2220000020200-20-20000000-22000002-2000000
χ342222-22-2-2-220000-22-2022-2-20000-22200000-20-2002020000000-2200000-22000000
χ352222-22-2-2-220000-22-20-2-2220000-2220000020200-20-200000002-200000-22000000
χ362222-22-2-2-220000-22-20-2-2220000-22200000-20-20020200000002-2000002-2000000
χ3744444-4-4-44-44400000-4000000000000000022-2-20-2-222000000000000000000000
χ3844444-4-4-44-44400000-40000000000000000-2-222022-2-2000000000000000000000
χ3944444-4-4-44-4-4-400000400000000000000002-2-220-222-2000000000000000000000
χ4044444-4-4-44-4-4-40000040000000000000000-222-202-2-22000000000000000000000
χ414444-44-4-4-4400004-44000000000-44-400000000000000000000000000000000000
χ424444-44-4-4-440000-4440000000004-4-400000000000000000000000000000000000
χ434444-4-444-4-4004-40000000000000000000022-2-2022-2-2000000000000000000000
χ444444-4-444-4-4004-400000000000000000000-2-2220-2-222000000000000000000000
χ454444-4-444-4-400-44000000000000000000002-2-2202-2-22000000000000000000000
χ464444-4-444-4-400-4400000000000000000000-222-20-222-2000000000000000000000
χ474-4-44-4000404-40000002-22-222-2-200002-22-20000000002-2002-2000000000000000
χ484-4-44-4000404-40000002-22-2-2-22200002-2-22000000000-2200-22000000000000000
χ494-4-44-4000404-4000000-22-2222-2-20000-22-220000000002-200-22000000000000000
χ504-4-44-4000404-4000000-22-22-2-2220000-222-2000000000-22002-2000000000000000
χ514-4-44-400040-440000002-22-222-2-20000-22-22000000000-22002-2000000000000000
χ524-4-44-400040-440000002-22-2-2-2220000-222-20000000002-200-22000000000000000
χ534-4-44-400040-44000000-22-2222-2-200002-22-2000000000-2200-22000000000000000
χ544-4-44-400040-44000000-22-22-2-22200002-2-220000000002-2002-2000000000000000
χ5588-8-808000-8000000000000000000000000000000000000000004i−4i00000000000
χ5688-8-808000-800000000000000000000000000000000000000000−4i4i00000000000
χ5788-8-80-800080000000000004-44-400000000000000000000000000000000000000
χ5888-8-80-80008000000000000-44-4400000000000000000000000000000000000000
χ598-88-8008-800000000000000000000000000000000000004-400000000000000000
χ608-88-8008-80000000000000000000000000000000000000-4400000000000000000
χ618-88-800-88000000000000004-4-4400000000000000000000000000000000000000
χ628-88-800-8800000000000000-444-400000000000000000000000000000000000000
χ638-8-888000-80000000004-4-44000000000000000000000000000000000000000000
χ648-8-888000-8000000000-444-4000000000000000000000000000000000000000000

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