Finite Group Databasebeta

← Group #72338964

Character table — Group #72338964

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111122222244448888888888888888888888888888888816161616161632323232646464646464646464646464646464646464646464646464
order12222222222222222244444444444444444444444444442222222222444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111-1-1-1-1-1-111-11-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ101111-1-1-1-1-1-111-11-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-111-1-11111-1-1-1-111-1-111
χ111111-1-1-1-1-1-111-11-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111
χ121111-1-1-1-1-1-111-11-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1
χ131111-1-1-1-1-1-111-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-11111-1-111-1-111-1-1-1-111-1-111-1-111
χ141111-1-1-1-1-1-111-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1
χ151111-1-1-1-1-1-111-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ161111-1-1-1-1-1-111-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-111-1-111-1-11111-1-111-1-111-1-1-1-111
χ1722222222222222222222-2-2-2-222-2-2-2-200000000000000002-2-22-2-20000000000002-22-2000000000000
χ1822222222222222222222-2-2-2-222-2-2-2-200000000000000002-2-22-2-2000000000000-22-22000000000000
χ19222222222222222222-2-222-2-2-2-222-2-20000000000000000-22-2-22-2000000002-22-20000000000000000
χ20222222222222222222-2-222-2-2-2-222-2-20000000000000000-22-2-22-200000000-22-220000000000000000
χ21222222222222222222-2-2-2-222-2-2-2-2220000000000000000-2-22-2-2200002-22-200000000000000000000
χ22222222222222222222-2-2-2-222-2-2-2-2220000000000000000-2-22-2-220000-22-2200000000000000000000
χ2322222222222222-2-2-2-22222222222222222222222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000
χ2422222222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ2522222222222222-2-2-2-222-2-2-2-222-2-2-2-20000000000000000-222-2220000000000000000000000002i−2i2i−2i
χ2622222222222222-2-2-2-222-2-2-2-222-2-2-2-20000000000000000-222-222000000000000000000000000−2i2i−2i2i
χ2722222222222222-2-2-2-2-2-222-2-2-2-222-2-200000000000000002-222-22000000000000000000002i−2i2i−2i0000
χ2822222222222222-2-2-2-2-2-222-2-2-2-222-2-200000000000000002-222-2200000000000000000000−2i2i−2i2i0000
χ2922222222222222-2-2-2-2-2-2-2-222-2-2-2-222000000000000000022-222-200000000000000002i−2i2i−2i00000000
χ3022222222222222-2-2-2-2-2-2-2-222-2-2-2-222000000000000000022-222-20000000000000000−2i2i−2i2i00000000
χ312222-2-2-2-2-2-222-2222-2-2222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222-2-2-2-2-222000000000000000000000000
χ322222-2-2-2-2-2-222-2222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222-2-2-222-2-2000000000000000000000000
χ332222-2-2-2-2-2-222-2222-2-222-2-2-2-2-2-2222200000000000000002-2-2-2220000000000000000000000002i−2i−2i2i
χ342222-2-2-2-2-2-222-2222-2-222-2-2-2-2-2-2222200000000000000002-2-2-222000000000000000000000000−2i2i2i−2i
χ352222-2-2-2-2-2-222-2222-2-2-2-222-2-222-2-2220000000000000000-22-22-22000000000000000000002i−2i−2i2i0000
χ362222-2-2-2-2-2-222-2222-2-2-2-222-2-222-2-2220000000000000000-22-22-2200000000000000000000−2i2i2i−2i0000
χ372222-2-2-2-2-2-222-2222-2-2-2-2-2-2222222-2-20000000000000000-2-2222-200000000000000002i−2i−2i2i00000000
χ382222-2-2-2-2-2-222-2222-2-2-2-2-2-2222222-2-20000000000000000-2-2222-20000000000000000−2i2i2i−2i00000000
χ392222-2-2-2-2-2-222-22-2-22222-2-2-2-2-2-222220000000000000000-2222-2-20000000000002-2-22000000000000
χ402222-2-2-2-2-2-222-22-2-22222-2-2-2-2-2-222220000000000000000-2222-2-2000000000000-222-2000000000000
χ412222-2-2-2-2-2-222-22-2-222-2-222-2-222-2-22200000000000000002-22-22-2000000002-2-220000000000000000
χ422222-2-2-2-2-2-222-22-2-222-2-222-2-222-2-22200000000000000002-22-22-200000000-222-20000000000000000
χ432222-2-2-2-2-2-222-22-2-222-2-2-2-2222222-2-2000000000000000022-2-2-2200002-2-2200000000000000000000
χ442222-2-2-2-2-2-222-22-2-222-2-2-2-2222222-2-2000000000000000022-2-2-220000-222-200000000000000000000
χ4544444444-4-4-4-4-444-44-40000000000002222-2-2-2-22222-2-2-2-20000002-22-2000000000000000000000000
χ4644444444-4-4-4-4-444-44-4000000000000-2-2-2-22222-2-2-2-22222000000-22-22000000000000000000000000
χ4744444444-4-4-4-4-44-44-440000000000002222-2-2-2-22222-2-2-2-2000000-22-22000000000000000000000000
χ4844444444-4-4-4-4-44-44-44000000000000-2-2-2-22222-2-2-2-222220000002-22-2000000000000000000000000
χ494444-4-4-4-444-4-4444-4-440000000000002222-2-2-2-2-2-2-2-22222000000-222-2000000000000000000000000
χ504444-4-4-4-444-4-4444-4-44000000000000-2-2-2-222222222-2-2-2-20000002-2-22000000000000000000000000
χ514444-4-4-4-444-4-444-444-40000000000002222-2-2-2-2-2-2-2-222220000002-2-22000000000000000000000000
χ524444-4-4-4-444-4-444-444-4000000000000-2-2-2-222222222-2-2-2-2000000-222-2000000000000000000000000
χ53888888-8-8888-8-8-8000000000000000000000000000000000000000000000000000000000000000000
χ54888888-8-8-8-8-888-8000000000000000000000000000000000000000000000000000000000000000000
χ558888-8-88888-88-8-8000000000000000000000000000000000000000000000000000000000000000000
χ568888-8-888-8-88-88-8000000000000000000000000000000000000000000000000000000000000000000
χ5788-8-800008-80000000000004-400004-4000044-4-444-4-400000000000000000000000000000000000000
χ5888-8-800008-80000000000004-400004-40000-4-444-4-44400000000000000000000000000000000000000
χ5988-8-800008-8000000000000-440000-4444-4-40000000044-4-40000000000000000000000000000000000
χ6088-8-800008-8000000000000-440000-44-4-44400000000-4-4440000000000000000000000000000000000
χ6188-8-80000-880000000000004-40000-44000044-4-4-4-44400000000000000000000000000000000000000
χ6288-8-80000-880000000000004-40000-440000-4-44444-4-400000000000000000000000000000000000000
χ6388-8-80000-88000000000000-4400004-444-4-400000000-4-4440000000000000000000000000000000000
χ6488-8-80000-88000000000000-4400004-4-4-4440000000044-4-40000000000000000000000000000000000
χ658-88-8008-80000000000004-400004-40000004-44-400004-44-40000000000000000000000000000000000
χ668-88-8008-80000000000004-400004-4000000-44-440000-44-440000000000000000000000000000000000
χ678-88-8008-8000000000000-440000-44004-44-400004-44-400000000000000000000000000000000000000
χ688-88-8008-8000000000000-440000-4400-44-440000-44-4400000000000000000000000000000000000000
χ698-88-800-880000000000004-40000-440000004-44-40000-44-440000000000000000000000000000000000
χ708-88-800-880000000000004-40000-44000000-44-4400004-44-40000000000000000000000000000000000
χ718-88-800-88000000000000-4400004-4004-44-40000-44-4400000000000000000000000000000000000000
χ728-88-800-88000000000000-4400004-400-44-4400004-44-400000000000000000000000000000000000000
χ738-8-888-80000000000004-400004-4000000004-4-4400004-4-440000000000000000000000000000000000
χ748-8-888-80000000000004-400004-400000000-444-40000-444-40000000000000000000000000000000000
χ758-8-888-8000000000000-440000-4400004-4-4400004-4-4400000000000000000000000000000000000000
χ768-8-888-8000000000000-440000-440000-444-40000-444-400000000000000000000000000000000000000
χ778-8-88-880000000000004-40000-44000000004-4-440000-444-40000000000000000000000000000000000
χ788-8-88-880000000000004-40000-4400000000-444-400004-4-440000000000000000000000000000000000
χ798-8-88-88000000000000-4400004-400004-4-440000-444-400000000000000000000000000000000000000
χ808-8-88-88000000000000-4400004-40000-444-400004-4-4400000000000000000000000000000000000000

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