Finite Group Databasebeta

← Group #72262797

Character table — Group #72262797

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111222222444444448888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232646464646464646464646464
order12222222222222444422222222222244444422222222222224444444444444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-111111111111-1-1111111-1-1111111111111111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-111111111111-1-11111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-11-1-1-111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-1-11-1-111-1-11111-1-1-1-11111
χ8111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-11-1-1-11111111111-1-1-1-1
χ911111111111111-1-1-1-111-1-1-1-1111111-1-111111-1-11111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1-1-111-11-111-1-111-1-111-1-1
χ1011111111111111-1-1-1-111-1-1-1-1111111-1-111111-1-11111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-11-1111-1-1-1-111-1-111
χ1111111111111111-1-1-1-111-1-1-1-1111111-1-111111-1-111-1-11111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11-1-1-1-111-11-1-1-111-1-111-1-111
χ1211111111111111-1-1-1-111-1-1-1-1111111-1-111111-1-111-1-111-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-11-11-1-11111-1-111-1-1
χ1311111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-1-1-1-111-1-111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-11-111-11-11-1-11-1-11111-1-1-1-111
χ1411111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11-1-1111-1-1-111-1-1-111-1-11111-1-1
χ1511111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-1-1-1-1-1-11111-1-11-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-11-111-11-11-1-1111-1-1-1-11111-1-1
χ1611111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-1-1-1-1-1-111-1-1111-1-111-1-1-1-1-1-111111111-1-1-1-1111111-1-11-1-1111-1-1-111-111-1-111-1-1-1-111
χ171111111111-1-1-1-111-1-1-1-111-1-11111111-11111-11-1-1-11-11-11111-11-11-11-111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1111-11-1-11-1111-11-11-11-11-11-1
χ181111111111-1-1-1-111-1-1-1-111-1-11111111-11111-11-1-1-11-11-1-1-1-1-1-11-11-11-111-1-111-1-111-1-11111-1-11111111-111-1-11-1-11-1-11-11-1-11-11-11-11
χ191111111111-1-1-1-111-1-1-1-111-1-11111111-11111-11-1-1-1-11-111111-1-11-111-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1111-11-1-11-111-11-11-11-11-11-11
χ201111111111-1-1-1-111-1-1-1-111-1-11111111-11111-11-1-1-1-11-11-1-1-1-1-1-11-111-1-1-111-1-11111-1-11111-1-11111111-111-1-11-1-11-1-1-11-111-11-11-11-1
χ211111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111-11111-11-1111-11-111-1-1-11-11-11-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111111-1-1-1-11-111-11-1-11-11
χ221111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111-11111-11-1111-11-1-1-111-11-11-11-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11-1-11-1111-11-11-11-111-11-1
χ231111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111-11111-11-111-11-1111-1-1-1-11-111-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-111111-1-1-11-11-1-11-111-11-1
χ241111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111-11111-11-111-11-11-1-111-1-11-111-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-11-1-11-11111-11-11-11-1-11-11
χ251111111111-1-1-1-1-1-111-1-1-1-111111111-111111-1-11-1-11-1-111111-11-1-11-1111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111-11-11-11-1111-11-1-111-1-111-1-11
χ261111111111-1-1-1-1-1-111-1-1-1-111111111-111111-1-11-1-11-1-11-1-1-1-1-11-1-11-1111-1-1-1-111-1-1111111111111-1-1-111-111-1-1-1-1-111-1-11-111-1-111-1
χ271111111111-1-1-1-1-1-111-1-1-1-111111111-111111-1-11-1-1-111-11111-1-111-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-11-11-11-1111-1-111-1-111-1-111-1
χ281111111111-1-1-1-1-1-111-1-1-1-111111111-111111-1-11-1-1-111-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1111111111111-1-1-111-111-1-1-1-1-11-111-11-1-111-1-11
χ291111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-111111-1-11111-1-1111-1-1-11-1-11-1111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-11-1-1-1111-11-111-11-1-11-111-1
χ301111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-111111-1-11111-1-11-1-111-11-1-11-1111-1-1-1-11111-1-1111111-1-1-1-111-1-1-11-1111-1-11-1-111-1-111-11-1-11
χ311111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-111111-1-1111-111-111-1-1-1-111-1-11-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111-11-1-1-1111-111-1-11-111-11-1-11
χ321111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-111111-1-1111-111-1-1-111-1-111-1-11-1-11111-1-111-1-1111111-1-1-1-111-1-1-11-1111-1-11-11-1-111-1-11-111-1
χ332222222222222222-2-222-2-2222222222-2-2-2-2-2-22-22200000000-20000-220000000022-2-200000000000000-2-2200-20000000000000000
χ342222222222222222-2-222-2-222-2-2-2-2222-2-2-2-2-2-22-2-2-200000000-20000-2200000000-2-2220000000000000022-20020000000000000000
χ3522222222222222-2-2222222-2-2222222-22-2-2-2-2-2-222200000000-200002-200000000-2-22200000000000000-22-200-20000000000000000
χ3622222222222222-2-2222222-2-2-2-2-2-222-22-2-2-2-2-2-22-2-200000000-200002-20000000022-2-2000000000000002-220020000000000000000
χ37222222222222-2-222222-222-2-20000-2-22222-2-2-2-2-2000000002220000-2200000000000000000022-2-222020000-2000-2-2000000000000
χ38222222222222-2-222222-222-2-20000-2-22222-2-2-2-2-200000000-2-220000-22000000000000000000-2-222-2-20-20000200022000000000000
χ39222222222222-2-222-2-22-2-2-2-2-20000-2-22-2-2-2222-220000002200-200002200000000000022-2-222000000-20000-200-2200000000000000
χ40222222222222-2-222-2-22-2-2-2-2-20000-2-22-2-2-2222-22000000-2-200-2000022000000000000-2-222-2-2000000200002002-200000000000000
χ41222222222222-2-2-2-2222-222220000-2-2-22-2-22222-20000002200-20000-2-200000000000022-2-2-2-200000020000200-2-200000000000000
χ42222222222222-2-2-2-2222-222220000-2-2-22-2-22222-2000000-2-200-20000-2-2000000000000-2-22222000000-20000-2002200000000000000
χ43222222222222-2-2-2-2-2-22-2-2-2220000-2-2-2-222-2-2-2220000000022200002-200000000000000000022-2-2-2-20-200002000-22000000000000
χ44222222222222-2-2-2-2-2-22-2-2-2220000-2-2-2-222-2-2-22200000000-2-2200002-2000000000000000000-2-22222020000-20002-2000000000000
χ452222222222-2-2222222-22-2-2220000-2-222-2-222-2-2-20000002200200002-2000000000000-2-2222200000020000-200-2-200000000000000
χ462222222222-2-2222222-22-2-2220000-2-222-2-222-2-2-2000000-2-200200002-200000000000022-2-2-2-2000000-200002002200000000000000
χ472222222222-2-22222-2-2-2222220000-2-22-222-2-22-220000000022-20000-2-2000000000000000000-2-222-2-20200002000-2-2000000000000
χ482222222222-2-22222-2-2-2222220000-2-22-222-2-22-2200000000-2-2-20000-2-200000000000000000022-2-2220-20000-200022000000000000
χ492222222222-2-222-2-222-22-2-2-2-20000-2-2-2222-2-222-20000000022-2000022000000000000000000-2-222220-20000-2000-22000000000000
χ502222222222-2-222-2-222-22-2-2-2-20000-2-2-2222-2-222-200000000-2-2-200002200000000000000000022-2-2-2-202000020002-2000000000000
χ512222222222-2-222-2-2-2-2-2222-2-20000-2-2-2-2-2-222-222000000220020000-22000000000000-2-222-2-2000000-20000200-2200000000000000
χ522222222222-2-222-2-2-2-2-2222-2-20000-2-2-2-2-2-222-222000000-2-20020000-2200000000000022-2-22200000020000-2002-200000000000000
χ532222222222-2-2-2-22222-2-2-2-2-2-222222222-2-2-2-2222-2-20000000020000-2-200000000222200000000000000-2-2-20020000000000000000
χ542222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222220000000020000-2-200000000-2-2-2-20000000000000022200-20000000000000000
χ552222222222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-22-2-2-2-200000000200002200000000-2-2-2-200000000000000-2220020000000000000000
χ562222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-2-2-22-2-222000000002000022000000002222000000000000002-2-200-20000000000000000
χ5744444-4-4-4-440000000000000000004-4004-44-400000000400000000400000000-4-40000000000000000000000000000000000000000
χ5844444-4-4-4-440000000000000000004-4004-44-400000000-400000000-400000000440000000000000000000000000000000000000000
χ5944444-4-4-4-440000000000000000004-400-44-44000000040000000040000000-4-4000000000000000000000000000000000000000000
χ6044444-4-4-4-440000000000000000004-400-44-440000000-400000000-4000000044000000000000000000000000000000000000000000
χ6144444-4-4-4-44000000000000000000-44004-4-440000004000000004000000-4-400000000000000000000000000000000000000000000
χ6244444-4-4-4-44000000000000000000-44004-4-44000000-400000000-40000004400000000000000000000000000000000000000000000
χ6344444-4-4-4-44000000000000000000-4400-444-400000400000000400000-4-40000000000000000000000000000000000000000000000
χ6444444-4-4-4-44000000000000000000-4400-444-400000-400000000-400000440000000000000000000000000000000000000000000000
χ654444-444-4-4-4004444000-4004-4000000-40000000000222200000-2-2-2-2002-22-22-22-20000000000000000000000000000000000000000
χ664444-444-4-4-4004444000-4004-4000000-40000000000-2-2-2-200000222200-22-22-22-220000000000000000000000000000000000000000
χ674444-444-4-4-40044-4-4000-400-440000004000000000022-2-200000-2-222002-22-2-22-220000000000000000000000000000000000000000
χ684444-444-4-4-40044-4-4000-400-4400000040000000000-2-2220000022-2-200-22-222-22-20000000000000000000000000000000000000000
χ694444-444-4-4-400-4-444000400-44000000-400000000002-22-200000-22-22002-2-222-2-220000000000000000000000000000000000000000
χ704444-444-4-4-400-4-444000400-44000000-40000000000-22-22000002-22-200-222-2-222-20000000000000000000000000000000000000000
χ714444-444-4-4-400-4-4-4-40004004-4000000400000000002-2-2200000-222-2002-2-22-222-20000000000000000000000000000000000000000
χ724444-444-4-4-400-4-4-4-40004004-400000040000000000-222-2000002-2-2200-222-22-2-220000000000000000000000000000000000000000
χ734444-4-4-444-444000044-404-4000000000-4000000000222200000-2-2-2-200-22-22-22-220000000000000000000000000000000000000000
χ744444-4-4-444-444000044-404-4000000000-4000000000-2-2-2-2000002222002-22-22-22-20000000000000000000000000000000000000000
χ754444-4-4-444-4440000-4-4-40-44000000000400000000022-2-200000-2-22200-22-222-22-20000000000000000000000000000000000000000
χ764444-4-4-444-4440000-4-4-40-440000000004000000000-2-2220000022-2-2002-22-2-22-220000000000000000000000000000000000000000
χ774444-4-4-444-4-4-400004440-44000000000-40000000002-2-2200000-222-200-222-22-2-220000000000000000000000000000000000000000
χ784444-4-4-444-4-4-400004440-44000000000-4000000000-222-2000002-2-22002-2-22-222-20000000000000000000000000000000000000000
χ794444-4-4-444-4-4-40000-4-4404-400000000040000000002-22-200000-22-2200-222-2-222-20000000000000000000000000000000000000000
χ804444-4-4-444-4-4-40000-4-4404-40000000004000000000-22-22000002-22-2002-2-222-2-220000000000000000000000000000000000000000
χ8188-8-880000-8000000000000000000000000000004-400000000000000000000000000000004i−4i00004i−4i000000000000000000000000
χ8288-8-880000-8000000000000000000000000000004-40000000000000000000000000000000−4i4i0000−4i4i000000000000000000000000
χ8388-8-880000-800000000000000000000000000000-4400000000000000000000000000000004i−4i0000−4i4i000000000000000000000000
χ8488-8-880000-800000000000000000000000000000-440000000000000000000000000000000−4i4i00004i−4i000000000000000000000000
χ8588-8-8-8000080000000000000044-4-40000000000000000000000000000000000000000004-4004-40000000000000000000000000000
χ8688-8-8-8000080000000000000044-4-4000000000000000000000000000000000000000000-4400-440000000000000000000000000000
χ8788-8-8-80000800000000000000-4-4440000000000000000000000000000000000000000004-400-440000000000000000000000000000
χ8888-8-8-80000800000000000000-4-444000000000000000000000000000000000000000000-44004-40000000000000000000000000000
χ898-88-80008-800000008-80000004-44-4000000000000000000000000000000000000004-4000000000000000000000000000000000000
χ908-88-80008-800000008-8000000-44-4400000000000000000000000000000000000000-44000000000000000000000000000000000000
χ918-88-80008-80000000-880000004-44-400000000000000000000000000000000000000-44000000000000000000000000000000000000
χ928-88-80008-80000000-88000000-44-44000000000000000000000000000000000000004-4000000000000000000000000000000000000
χ938-88-8000-8808-80000000000000000000000000000000004-40000000000000000000004-40000000000000000000000000000000000
χ948-88-8000-8808-8000000000000000000000000000000000-44000000000000000000000-440000000000000000000000000000000000
χ958-88-8000-880-880000000000000000000000000000000004-4000000000000000000000-440000000000000000000000000000000000
χ968-88-8000-880-88000000000000000000000000000000000-440000000000000000000004-40000000000000000000000000000000000
χ978-8-8808-800000008-8000000004-4-440000000000000000000000000000000000004-400000000000000000000000000000000000000
χ988-8-8808-800000008-800000000-444-4000000000000000000000000000000000000-4400000000000000000000000000000000000000
χ998-8-8808-80000000-88000000004-4-44000000000000000000000000000000000000-4400000000000000000000000000000000000000
χ1008-8-8808-80000000-8800000000-444-40000000000000000000000000000000000004-400000000000000000000000000000000000000
χ1018-8-880-88000008-80000000000000000000000000000000004-40000000000000000000000000004-400000000000000000000000000
χ1028-8-880-88000008-8000000000000000000000000000000000-44000000000000000000000000000-4400000000000000000000000000
χ1038-8-880-8800000-880000000000000000000000000000000004-4000000000000000000000000000-4400000000000000000000000000
χ1048-8-880-8800000-88000000000000000000000000000000000-440000000000000000000000000004-400000000000000000000000000

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