Finite Group Databasebeta

← Group #72339009

Character table — Group #72339009

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size1111222222444488888888888888881616161616161616161616161616323232323232323232323232323232323232323264646464646464646464646464646464
order12222222222222222244444444444422222222224444444488888888888888884444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111-1-1-1-1-1-111-11-1-11111-1-1-1-111-1-11111-1-1-111-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ101111-1-1-1-1-1-111-11-1-11111-1-1-1-111-1-11111-1-1-111-1-1111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111
χ111111-1-1-1-1-1-111-11-1-11111-1-1-1-111-1-11111-1-1-111-1-1111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-111
χ121111-1-1-1-1-1-111-11-1-11111-1-1-1-111-1-11111-1-1-111-1-1111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ131111-1-1-1-1-1-111-11-1-11111-1-1-1-111-1-11111-1-1-1-1-1111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111
χ141111-1-1-1-1-1-111-11-1-11111-1-1-1-111-1-11111-1-1-1-1-1111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ151111-1-1-1-1-1-111-11-1-11111-1-1-1-111-1-11111-1-1-1-1-1111-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-1-1-111-11-1-11111-1-1-1-111-1-11111-1-1-1-1-1111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-111
χ172222222222222222222-222-2-2-2-2-2-22-22-22-2-20000-20000000000000000000000002-22-2000000000000
χ182222222222222222222-222-2-2-2-2-2-22-22-22-2-20000-2000000000000000000000000-22-22000000000000
χ19222222222222222222-22-2-222-2-2-2-2-22-22-22-20000-200000000000000000000000000002-22-200000000
χ20222222222222222222-22-2-222-2-2-2-2-22-22-22-20000-20000000000000000000000000000-22-2200000000
χ21222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2200002000000000000000000000000000000002-22-20000
χ22222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-220000200000000000000000000000000000000-22-220000
χ2322222222222222-2-2-2-2222222222222-2-2-2-2-20000-20000000000000000000000000000000000002i−2i2i−2i
χ2422222222222222-2-2-2-2222222222222-2-2-2-2-20000-2000000000000000000000000000000000000−2i2i−2i2i
χ2522222222222222-2-2-2-22-222-2-2-2-2-2-22-2-22-2220000200000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ2622222222222222-2-2-2-22-222-2-2-2-2-2-22-2-22-222000020000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ2722222222222222-2-2-2-2-22-2-222-2-2-2-2-222-22-2200002000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ2822222222222222-2-2-2-2-22-2-222-2-2-2-2-222-22-220000200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ2922222222222222-2-2-2-2-2-2-2-2-2-22222-2-22222-22222-22222-2-2-2-200000000000000000000000000000000
χ3022222222222222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ312222-2-2-2-2-2-222-2222-2-222-2-2-2-222-2-222-2-22220000-20000000000000000000000000000000000002i−2i−2i2i
χ322222-2-2-2-2-2-222-2222-2-222-2-2-2-222-2-222-2-22220000-2000000000000000000000000000000000000−2i2i2i−2i
χ332222-2-2-2-2-2-222-2222-2-22-2-2-222-2-2222-2-222-2-20000200000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ342222-2-2-2-2-2-222-2222-2-22-2-2-222-2-2222-2-222-2-2000020000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ352222-2-2-2-2-2-222-2222-2-2-2222-2-2-2-222-222-2-22-200002000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ362222-2-2-2-2-2-222-2222-2-2-2222-2-2-2-222-222-2-22-20000200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ372222-2-2-2-2-2-222-2222-2-2-2-2222222-2-2-2-222-2-2222-2-2-222-2-2-2-22200000000000000000000000000000000
χ382222-2-2-2-2-2-222-2222-2-2-2-2222222-2-2-2-222-2-22-2-222-2-2-22222-2-200000000000000000000000000000000
χ392222-2-2-2-2-2-222-22-2-2222-2-2-222-2-2222-22-2-2220000-20000000000000000000000002-2-22000000000000
χ402222-2-2-2-2-2-222-22-2-2222-2-2-222-2-2222-22-2-2220000-2000000000000000000000000-222-2000000000000
χ412222-2-2-2-2-2-222-22-2-222-2222-2-2-2-222-22-222-220000-200000000000000000000000000002-2-2200000000
χ422222-2-2-2-2-2-222-22-2-222-2222-2-2-2-222-22-222-220000-20000000000000000000000000000-222-200000000
χ432222-2-2-2-2-2-222-22-2-222-2-2222222-2-2-2-2-2-222-200002000000000000000000000000000000002-2-220000
χ442222-2-2-2-2-2-222-22-2-222-2-2222222-2-2-2-2-2-222-20000200000000000000000000000000000000-222-20000
χ4544444444-4-4-4-4-444-44-40000000000000000022220-2-2-2-22-22-200000000000000000000000000000000
χ4644444444-4-4-4-4-444-44-400000000000000000-2-2-2-202222-22-2200000000000000000000000000000000
χ4744444444-4-4-4-4-44-44-440000000000000000022220-2-2-2-2-22-2200000000000000000000000000000000
χ4844444444-4-4-4-4-44-44-4400000000000000000-2-2-2-2022222-22-200000000000000000000000000000000
χ494444-4-4-4-444-4-4444-4-440000000000000000022-2-20-2-222-222-200000000000000000000000000000000
χ504444-4-4-4-444-4-4444-4-4400000000000000000-2-222022-2-22-2-2200000000000000000000000000000000
χ514444-4-4-4-444-4-444-444-40000000000000000022-2-20-2-2222-2-2200000000000000000000000000000000
χ524444-4-4-4-444-4-444-444-400000000000000000-2-222022-2-2-222-200000000000000000000000000000000
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
χ5788-8-8008-8000000000004004-400000-4000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ5888-8-8008-8000000000004004-400000-400000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ5988-8-8008-800000000000-400-44000004000000000000000000000000002-2-222-2-220000000000000000
χ6088-8-8008-800000000000-400-4400000400000000000000000000000000-222-2-222-20000000000000000
χ6188-8-800-8800000000000400-4400000-4000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ6288-8-800-8800000000000400-4400000-400000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ6388-8-800-8800000000000-4004-4000004000000000000000000000000002-2-22-222-20000000000000000
χ6488-8-800-8800000000000-4004-400000400000000000000000000000000-222-22-2-220000000000000000
χ658-88-88-8000000000000404-4000000-400000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ668-88-88-8000000000000404-4000000-40000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ678-88-88-8000000000000-40-44000000400000000000000000002-2-222-2-22000000000000000000000000
χ688-88-88-8000000000000-40-4400000040000000000000000000-222-2-222-2000000000000000000000000
χ698-88-8-8800000000000040-44000000-400000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ708-88-8-8800000000000040-44000000-40000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ718-88-8-88000000000000-404-4000000400000000000000000002-2-22-222-2000000000000000000000000
χ728-88-8-88000000000000-404-400000040000000000000000000-222-22-2-22000000000000000000000000
χ738-8-8800008-8000000000000004-44-40000000004-404-400000000000000000000000000000000000000
χ748-8-8800008-8000000000000004-44-4000000000-440-4400000000000000000000000000000000000000
χ758-8-8800008-800000000000000-44-4400000004-4000004-4000000000000000000000000000000000000
χ768-8-8800008-800000000000000-44-440000000-4400000-44000000000000000000000000000000000000
χ778-8-880000-88000000000000004-4-440000000004-40-4400000000000000000000000000000000000000
χ788-8-880000-88000000000000004-4-44000000000-4404-400000000000000000000000000000000000000
χ798-8-880000-8800000000000000-444-400000004-400000-44000000000000000000000000000000000000
χ808-8-880000-8800000000000000-444-40000000-44000004-4000000000000000000000000000000000000

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