Finite Group Databasebeta

← Group #72265914

Character table — Group #72265914

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11112222224444444444448888888888888888161616161616161616161616161616161616161616161616323232323232323232323232323264646464646464646464646464646464
order12222222222222222222222222222222224444222222224444444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ1011111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ1111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii
χ1211111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i
χ1311111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ1411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ1511111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ172222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-20000222222-2-2000000000000-2-222-2-2000000000000000000000000
χ182222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-20000-2-2-2-222-2-200000000000022-2-222000000000000000000000000
χ192222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-200002222-2-222000000000000-2-2-2-222000000000000000000000000
χ202222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-20000-2-2-2-2-2-2220000000000002222-2-2000000000000000000000000
χ2122222222222222-2-2-2-2-2-2-2-222-2-2222222-2-222-2-200000000-2-22-200000000000000000000000000000000002-22-20000
χ2222222222222222-2-2-2-2-2-2-2-222-2-2222222-2-222-2-200000000-2-22-20000000000000000000000000000000000-22-220000
χ2322222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-2-20000000022-2200000000000000000000000000000000002i−2i−2i2i0000
χ2422222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-2-20000000022-220000000000000000000000000000000000−2i2i2i−2i0000
χ2522222222222222-2-2-2-2-2-2-2-2-2-2222222-2-222-2-22200000000-2-2-22000000000000000000000000002-22-2000000000000
χ2622222222222222-2-2-2-2-2-2-2-2-2-2222222-2-222-2-22200000000-2-2-2200000000000000000000000000-22-22000000000000
χ2722222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-22200000000222-2000000000000000000000000002i−2i−2i2i000000000000
χ2822222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-22200000000222-200000000000000000000000000−2i2i2i−2i000000000000
χ292222222222-2-2-2-22222-2-2-2-222-2-222-2-22222-2-222000000002-2-2-20000000000000000000000000000002-22-200000000
χ302222222222-2-2-2-22222-2-2-2-222-2-222-2-22222-2-222000000002-2-2-2000000000000000000000000000000-22-2200000000
χ312222222222-2-2-2-22222-2-2-2-222-2-2-2-222-2-2-2-2-2-22200000000-22220000000000000000000000000000002i−2i−2i2i00000000
χ322222222222-2-2-2-22222-2-2-2-222-2-2-2-222-2-2-2-2-2-22200000000-2222000000000000000000000000000000−2i2i2i−2i00000000
χ332222222222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2-2-222-2-2000000002-222000000000000000000000000000000000000002i−2i2i−2i
χ342222222222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2-2-222-2-2000000002-22200000000000000000000000000000000000000−2i2i−2i2i
χ352222222222-2-2-2-22222-2-2-2-2-2-222-2-222222222-2-200000000-22-2-2000000000000000000000000000000000000002-2-22
χ362222222222-2-2-2-22222-2-2-2-2-2-222-2-222222222-2-200000000-22-2-200000000000000000000000000000000000000-222-2
χ372222222222-2-2-2-2-2-2-2-22222222222-2-222-2-2-2-2-2-200000000-22-2200000000000000000022-2-222-2-20000000000000000
χ382222222222-2-2-2-2-2-2-2-22222222222-2-222-2-2-2-2-2-200000000-22-22000000000000000000-2-222-2-2220000000000000000
χ392222222222-2-2-2-2-2-2-2-222222222-2-222-2-222-2-2-2-2000000002-22-200000000000000000022-2-2-2-2220000000000000000
χ402222222222-2-2-2-2-2-2-2-222222222-2-222-2-222-2-2-2-2000000002-22-2000000000000000000-2-22222-2-20000000000000000
χ412222222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-222222222-2-20000-222-222-2-22222-2-2-2-2000000000000000000000000000000
χ422222222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-2222222-2-2220000-222-2-2-222-2-2-2-22222000000000000000000000000000000
χ432222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2222222-2-200002-2-2222-2-2-2-2-2-22222000000000000000000000000000000
χ442222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-22222-2-22200002-2-22-2-2222222-2-2-2-2000000000000000000000000000000
χ454444-4-44-4-44000000004-44-40000000000004-44-40000000000000000000044-4-4000000000000000000000000000000
χ464444-4-44-4-44000000004-44-40000000000004-44-400000000000000000000-4-444000000000000000000000000000000
χ474444-4-44-4-44000000004-44-4000000000000-44-44000000000000000044-4-40000000000000000000000000000000000
χ484444-4-44-4-44000000004-44-4000000000000-44-440000000000000000-4-4440000000000000000000000000000000000
χ494444-4-44-4-4400000000-44-440000000000004-4-44440000000000-4-40000000000000000000000000000000000000000
χ504444-4-44-4-4400000000-44-440000000000004-4-44-4-40000000000440000000000000000000000000000000000000000
χ514444-4-44-4-4400000000-44-44000000000000-444-400440000000000-4-400000000000000000000000000000000000000
χ524444-4-44-4-4400000000-44-44000000000000-444-400-4-400000000004400000000000000000000000000000000000000
χ534-4-44444-4-4-40000000044-4-44-44-40000000000000000000000000000000000000000000000004i−4i0000000000000000
χ544-4-44444-4-4-40000000044-4-44-44-4000000000000000000000000000000000000000000000000−4i4i0000000000000000
χ554-4-44444-4-4-40000000044-4-4-44-4400000000000000000000000000000000000000000000004i−4i000000000000000000
χ564-4-44444-4-4-40000000044-4-4-44-440000000000000000000000000000000000000000000000−4i4i000000000000000000
χ574-4-44444-4-4-400000000-4-4444-4-440000000000000000000000000000000000000000004-40000000000000000000000
χ584-4-44444-4-4-400000000-4-4444-4-44000000000000000000000000000000000000000000-440000000000000000000000
χ594-4-44444-4-4-400000000-4-444-444-4000000000000000000000000000000000000000000004-400000000000000000000
χ604-4-44444-4-4-400000000-4-444-444-400000000000000000000000000000000000000000000-4400000000000000000000
χ614-4-444-4-44-44000044-4-40000000000004-44-400002-22-2000000002-22-22-22-22-22-2000000000000000000000000000000
χ624-4-444-4-44-44000044-4-40000000000004-44-40000-22-2200000000-22-22-22-22-22-22000000000000000000000000000000
χ634-4-444-4-44-44000044-4-4000000000000-44-4400002-22-2000000002-22-2-22-22-22-22000000000000000000000000000000
χ644-4-444-4-44-44000044-4-4000000000000-44-440000-22-2200000000-22-222-22-22-22-2000000000000000000000000000000
χ654-4-444-4-44-440000-4-4440000000000004-4-4400002-2-22000000002-2-22-22-222-22-2000000000000000000000000000000
χ664-4-444-4-44-440000-4-4440000000000004-4-440000-222-200000000-222-22-22-2-22-22000000000000000000000000000000
χ674-4-444-4-44-440000-4-444000000000000-444-400002-2-22000000002-2-222-22-2-22-22000000000000000000000000000000
χ684-4-444-4-44-440000-4-444000000000000-444-40000-222-200000000-222-2-22-222-22-2000000000000000000000000000000
χ694-4-44-44-4-44444-4-40000000000004-44-4000000002-22-200000000-22-222-2-222-2-22000000000000000000000000000000
χ704-4-44-44-4-44444-4-40000000000004-44-400000000-22-22000000002-22-2-222-2-222-2000000000000000000000000000000
χ714-4-44-44-4-44444-4-4000000000000-44-44000000002-22-200000000-22-22-222-2-222-2000000000000000000000000000000
χ724-4-44-44-4-44444-4-4000000000000-44-4400000000-22-22000000002-22-22-2-222-2-22000000000000000000000000000000
χ734-4-44-44-4-444-4-4440000000000004-4-44000000002-2-2200000000-222-22-2-22-222-2000000000000000000000000000000
χ744-4-44-44-4-444-4-4440000000000004-4-4400000000-222-2000000002-2-22-222-22-2-22000000000000000000000000000000
χ754-4-44-44-4-444-4-444000000000000-444-4000000002-2-2200000000-222-2-222-22-2-22000000000000000000000000000000
χ764-4-44-44-4-444-4-444000000000000-444-400000000-222-2000000002-2-222-2-22-222-2000000000000000000000000000000
χ774-4-44-4-4444-44-44-44-44-44-4-4400000000000000000000000000000000000000004-40000000000000000000000000000
χ784-4-44-4-4444-44-44-44-44-44-4-440000000000000000000000000000000000000000-440000000000000000000000000000
χ794-4-44-4-4444-44-44-4-44-44-444-4000000000000000000000000000000000000000000004-4000000000000000000000000
χ804-4-44-4-4444-44-44-4-44-44-444-400000000000000000000000000000000000000000000-44000000000000000000000000
χ814-4-44-4-4444-4-44-444-44-4-444-40000000000000000000000000000000000000000004-400000000000000000000000000
χ824-4-44-4-4444-4-44-444-44-4-444-4000000000000000000000000000000000000000000-4400000000000000000000000000
χ834-4-44-4-4444-4-44-44-44-444-4-440000000000000000000044-4-40000000000000000000000000000000000000000000000
χ844-4-44-4-4444-4-44-44-44-444-4-4400000000000000000000-4-4440000000000000000000000000000000000000000000000
χ8588888-8-8-88-88-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8688888-8-8-88-8-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000
χ878888-88-88-8-800008-8-8800000000000000000000000000000000000000000000000000000000000000000000000000
χ888888-88-88-8-80000-888-800000000000000000000000000000000000000000000000000000000000000000000000000
χ891616-16-16000000000000000000000000000000000000004-44-40000000000000000000000000000000000000000000000
χ901616-16-1600000000000000000000000000000000000000-44-440000000000000000000000000000000000000000000000
χ9116-1616-16000000000000000000000000000000000000004-4-440000000000000000000000000000000000000000000000
χ9216-1616-1600000000000000000000000000000000000000-444-40000000000000000000000000000000000000000000000

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