Finite Group Databasebeta

← Group #72315113

Character table — Group #72315113

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222444444444444448888888888888888888888888888888888161616161616161616163232323232323232323232323232323264646464646464646464646464646464
order12222222222222222222222222222222222222222222222222222222224444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ511111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1
χ9111111111-1-1-1-111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ10111111111-1-1-1-111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ11111111111-1-1-1-111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ12111111111-1-1-1-111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ13111111111-1-1-1-111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ14111111111-1-1-1-111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ15111111111-1-1-1-111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ16111111111-1-1-1-111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ1722222222222222222222222222222-2-2-2-22222-2-2-2-200000000000000002-2-2-2-2-2-20000000022-2-222-2-2000000000000000000000000
χ1822222222222222222222222222222-2-2-2-22222-2-2-2-200000000000000002-2-2-2-2-2-200000000-2-222-2-222000000000000000000000000
χ19222222222222222222222222-2-2-2-2-22222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ20222222222222222222222222-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ21222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-222222200000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ22222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-22222220000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ2322222222222222-2-2-2-222-2-2-2-22222-222-2-222-2-222-2-20000000000000000-222-2-22-2000000000000000000000000002-2002-200000000
χ2422222222222222-2-2-2-222-2-2-2-22222-222-2-222-2-222-2-20000000000000000-222-2-22-200000000000000000000000000-2200-2200000000
χ2522222222222222-2-2-2-222-2-2-2-22222-2-2-22222-2-2-2-2220000000000000000-2-2-222-220000000000000000000000002-2002-20000000000
χ2622222222222222-2-2-2-222-2-2-2-22222-2-2-22222-2-2-2-2220000000000000000-2-2-222-22000000000000000000000000-2200-220000000000
χ2722222222222222-2-2-2-222-2-2-2-2-2-2-2-2222-2-2-2-22222-2-200000000000000002-2-222-220000000000000000000000000000000000002i−2i2i−2i
χ2822222222222222-2-2-2-222-2-2-2-2-2-2-2-2222-2-2-2-22222-2-200000000000000002-2-222-22000000000000000000000000000000000000−2i2i−2i2i
χ2922222222222222-2-2-2-222-2-2-2-2-2-2-2-22-2-222-2-222-2-2220000000000000000222-2-22-2000000000000000000000000000000002i−2i2i−2i0000
χ3022222222222222-2-2-2-222-2-2-2-2-2-2-2-22-2-222-2-222-2-2220000000000000000222-2-22-200000000000000000000000000000000−2i2i−2i2i0000
χ31222222222-2-2-2-222222-2-2-2-2-2-222222-2-2-2-2-2-2-2-2222200000000000000002-2-2-2-2220000000022-2-2-2-222000000000000000000000000
χ32222222222-2-2-2-222222-2-2-2-2-2-222222-2-2-2-2-2-2-2-2222200000000000000002-2-2-2-22200000000-2-22222-2-2000000000000000000000000
χ33222222222-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2222200000000000000000000000000000000
χ34222222222-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2222222-2-2-2-200000000000000000000000000000000
χ35222222222-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000-22222-2-200000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ36222222222-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000-22222-2-20000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ37222222222-2-2-2-22-2-2-2-2-2-222222222-222-2-2-2-222-2-2220000000000000000-222-2-2-22000000000000000000000000002-200-2200000000
χ38222222222-2-2-2-22-2-2-2-2-2-222222222-222-2-2-2-222-2-2220000000000000000-222-2-2-2200000000000000000000000000-22002-200000000
χ39222222222-2-2-2-22-2-2-2-2-2-222222222-2-2-222-2-22222-2-20000000000000000-2-2-2222-20000000000000000000000002-200-220000000000
χ40222222222-2-2-2-22-2-2-2-2-2-222222222-2-2-222-2-22222-2-20000000000000000-2-2-2222-2000000000000000000000000-22002-20000000000
χ41222222222-2-2-2-22-2-2-2-2-2-22222-2-2-2-2222-2-222-2-2-2-22200000000000000002-2-2222-20000000000000000000000000000000000002i−2i−2i2i
χ42222222222-2-2-2-22-2-2-2-2-2-22222-2-2-2-2222-2-222-2-2-2-22200000000000000002-2-2222-2000000000000000000000000000000000000−2i2i2i−2i
χ43222222222-2-2-2-22-2-2-2-2-2-22222-2-2-2-22-2-22222-2-222-2-20000000000000000222-2-2-22000000000000000000000000000000002i−2i−2i2i0000
χ44222222222-2-2-2-22-2-2-2-2-2-22222-2-2-2-22-2-22222-2-222-2-20000000000000000222-2-2-2200000000000000000000000000000000−2i2i2i−2i0000
χ452-2-2222-2-2-20000222-2-200000022-2-222-22-200000000000000002222-2-2-2-2-22-22-200000022-2-200002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ462-2-2222-2-2-20000222-2-200000022-2-222-22-200000000000000002222-2-2-2-2-22-22-200000022-2-20000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ472-2-2222-2-2-20000222-2-200000022-2-222-22-20000000000000000-2-2-2-22222-22-22-2000000-2-22200002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ482-2-2222-2-2-20000222-2-200000022-2-222-22-20000000000000000-2-2-2-22222-22-22-2000000-2-2220000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ492-2-2222-2-2-20000222-2-200000022-2-22-22-22000000002222-2-2-2-200000000-2-22-220022-2-2000000002i−2i−2i2i00002i−2i2i−2i0000000000000000
χ502-2-2222-2-2-20000222-2-200000022-2-22-22-22000000002222-2-2-2-200000000-2-22-220022-2-200000000−2i2i2i−2i0000−2i2i−2i2i0000000000000000
χ512-2-2222-2-2-20000222-2-200000022-2-22-22-2200000000-2-2-2-2222200000000-2-22-2200-2-222000000002i−2i−2i2i0000−2i2i−2i2i0000000000000000
χ522-2-2222-2-2-20000222-2-200000022-2-22-22-2200000000-2-2-2-2222200000000-2-22-2200-2-22200000000−2i2i2i−2i00002i−2i2i−2i0000000000000000
χ532-2-2222-2-2-20000222-2-2000000-2-222-22-22-200000000000000002222-2-2-2-22-22-22000000-2-2222-22-2000000002-2-220000000000000000
χ542-2-2222-2-2-20000222-2-2000000-2-222-22-22-200000000000000002222-2-2-2-22-22-22000000-2-222-22-2200000000-222-20000000000000000
χ552-2-2222-2-2-20000222-2-2000000-2-222-22-22-20000000000000000-2-2-2-222222-22-2200000022-2-22-22-200000000-222-20000000000000000
χ562-2-2222-2-2-20000222-2-2000000-2-222-22-22-20000000000000000-2-2-2-222222-22-2200000022-2-2-22-22000000002-2-220000000000000000
χ572-2-2222-2-2-20000222-2-2000000-2-222-2-22-22000000002222-2-2-2-20000000022-22-200-2-22200002-2-2200002-2-2200000000000000000000
χ582-2-2222-2-2-20000222-2-2000000-2-222-2-22-22000000002222-2-2-2-20000000022-22-200-2-2220000-222-20000-222-200000000000000000000
χ592-2-2222-2-2-20000222-2-2000000-2-222-2-22-2200000000-2-2-2-222220000000022-22-20022-2-200002-2-220000-222-200000000000000000000
χ602-2-2222-2-2-20000222-2-2000000-2-222-2-22-2200000000-2-2-2-222220000000022-22-20022-2-20000-222-200002-2-2200000000000000000000
χ614444-4-44-4-4444440000-4-400004-44-4000004-400000022-2-222-2-222-2-222-2-200000002-22-22-22-200000000000000000000000000000000
χ624444-4-44-4-4444440000-4-400004-44-4000004-4000000-2-222-2-222-2-222-2-2220000000-22-22-22-2200000000000000000000000000000000
χ634444-4-44-4-4444440000-4-40000-44-4400000-4400000022-2-222-2-222-2-222-2-20000000-22-22-22-2200000000000000000000000000000000
χ644444-4-44-4-4444440000-4-40000-44-4400000-44000000-2-222-2-222-2-222-2-22200000002-22-22-22-200000000000000000000000000000000
χ654444-4-44-4-4-4-4-4-4400004400004-44-400000-4400000022-2-222-2-2-2-222-2-22200000002-22-2-22-2200000000000000000000000000000000
χ664444-4-44-4-4-4-4-4-4400004400004-44-400000-44000000-2-222-2-22222-2-222-2-20000000-22-222-22-200000000000000000000000000000000
χ674444-4-44-4-4-4-4-4-440000440000-44-44000004-400000022-2-222-2-2-2-222-2-2220000000-22-222-22-200000000000000000000000000000000
χ684444-4-44-4-4-4-4-4-440000440000-44-44000004-4000000-2-222-2-22222-2-222-2-200000002-22-2-22-2200000000000000000000000000000000
χ694-4-4444-4-4-400004-4-44400000044-4-4-44-4-4400000000000000000000000044-4-44000000000000000000000000000000000000000000
χ704-4-4444-4-4-400004-4-44400000044-4-4-4-444-40000000000000000000000004-444-4000000000000000000000000000000000000000000
χ714-4-4444-4-4-400004-4-444000000-4-44444-4-44000000000000000000000000-4-444-4000000000000000000000000000000000000000000
χ724-4-4444-4-4-400004-4-444000000-4-4444-444-4000000000000000000000000-44-4-44000000000000000000000000000000000000000000
χ734-4-44-4-4-4440000400000044-4-44-4-4400000004-4000022-2-2-2-22222-2-2-2-22200000002-2-222-2-2200000000000000000000000000000000
χ744-4-44-4-4-4440000400000044-4-44-4-4400000004-40000-2-22222-2-2-2-22222-2-20000000-222-2-222-200000000000000000000000000000000
χ754-4-44-4-4-4440000400000044-4-4-444-40000000-44000022-2-2-2-22222-2-2-2-2220000000-222-2-222-200000000000000000000000000000000
χ764-4-44-4-4-4440000400000044-4-4-444-40000000-440000-2-22222-2-2-2-22222-2-200000002-2-222-2-2200000000000000000000000000000000
χ774-4-44-4-4-44400004000000-4-4444-4-440000000-44000022-2-2-2-222-2-22222-2-200000002-2-22-222-200000000000000000000000000000000
χ784-4-44-4-4-44400004000000-4-4444-4-440000000-440000-2-22222-2-222-2-2-2-2220000000-222-22-2-2200000000000000000000000000000000
χ794-4-44-4-4-44400004000000-4-444-444-400000004-4000022-2-2-2-222-2-22222-2-20000000-222-22-2-2200000000000000000000000000000000
χ804-4-44-4-4-44400004000000-4-444-444-400000004-40000-2-22222-2-222-2-2-2-22200000002-2-22-222-200000000000000000000000000000000
χ8188888-8-88-888-8-8-800008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8288888-8-88-8-8-888-80000-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ838888-88-8-8888-8-8-80000-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ848888-88-8-88-8-888-800008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-800000008-804-44-4004-44-400000000000000000004-4004-4004-4004-400000000000000000000000000000000000000000000000
χ8688-8-800000008-804-44-4004-44-40000000000000000000-4400-4400-4400-4400000000000000000000000000000000000000000000000
χ8788-8-800000008-80-44-4400-44-44000000000000000004-4004-4004-4004-40000000000000000000000000000000000000000000000000
χ8888-8-800000008-80-44-4400-44-4400000000000000000-4400-4400-4400-440000000000000000000000000000000000000000000000000
χ8988-8-80000000-8804-44-400-44-4400000000000000000004-4004-400-4400-4400000000000000000000000000000000000000000000000
χ9088-8-80000000-8804-44-400-44-440000000000000000000-4400-44004-4004-400000000000000000000000000000000000000000000000
χ9188-8-80000000-880-44-44004-44-4000000000000000004-4004-400-4400-440000000000000000000000000000000000000000000000000
χ9288-8-80000000-880-44-44004-44-400000000000000000-4400-44004-4004-40000000000000000000000000000000000000000000000000
χ938-88-8000008-80004-4-44004-4-4400000000000000000004-400-44004-400-4400000000000000000000000000000000000000000000000
χ948-88-8000008-80004-4-44004-4-440000000000000000000-44004-400-44004-400000000000000000000000000000000000000000000000
χ958-88-8000008-8000-444-400-444-4000000000000000004-400-44004-400-440000000000000000000000000000000000000000000000000
χ968-88-8000008-8000-444-400-444-400000000000000000-44004-400-44004-40000000000000000000000000000000000000000000000000
χ978-88-800000-880004-4-4400-444-400000000000000000004-400-4400-44004-400000000000000000000000000000000000000000000000
χ988-88-800000-880004-4-4400-444-40000000000000000000-44004-4004-400-4400000000000000000000000000000000000000000000000
χ998-88-800000-88000-444-4004-4-44000000000000000004-400-4400-44004-40000000000000000000000000000000000000000000000000
χ1008-88-800000-88000-444-4004-4-4400000000000000000-44004-4004-400-440000000000000000000000000000000000000000000000000
χ1018-8-888-88-880000-800000000000000000000000008-8000000000000000000000000000000000000000000000000000000000000000
χ1028-8-888-88-880000-80000000000000000000000000-88000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-8888-80000-8000000000000000000000008-800000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-8888-80000-800000000000000000000000-8800000000000000000000000000000000000000000000000000000000000000000

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