Finite Group Databasebeta

← Group #72237735

Character table — Group #72237735

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1122244444488161616161616161616161616161616323232323232323232323232323232323232323232646464646464646464128128128128
order12222222222222222222244444442244444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-11-1111111111-1-111-1-1-1-1-1-11-1-11111-1-1-1-1
χ31111111111111111111111111111-11-111111111-1-1-1-1-1-111-1-1-11-11-1-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-11111111-1-111-1-1-1-1111-1-1-11-1-1-1-1-1-111
χ511111111111111111-1-1-1-111111111111-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-1
χ611111111111111111-1-1-1-111111111-11-1-1-11-1-1-1-111-1-111-1-1-1-1-1-11-1-1-1-1-1-11111
χ711111111111111111-1-1-1-11111111-11-11-1-11-1-1-1-1-1-1-1-1-1-111-1-1-11-11-11111-1-111
χ811111111111111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1111-1-1-11111111-1-1
χ91111111111111-1-1-1-111-1-11-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111-1-11-11-1
χ101111111111111-1-1-1-111-1-11-1-111111-11-11-1-111-1-1-1-1-1-1-1-11111111-1-111-1-1-11-11
χ111111111111111-1-1-1-111-1-11-1-11111-11-111-1-111-1-111-1-111-1-1111-1-11-1-1-1111-1-11
χ121111111111111-1-1-1-111-1-11-1-11111-1-1-1-11-1-111-1-111111111-1-1-11-1-11-1-111-111-1
χ131111111111111-1-1-1-1-1-1111-1-111111111-11-1-1-111-1-111-1-1-1-1-1-1-1-1111-1-111-11-11
χ141111111111111-1-1-1-1-1-1111-1-111111-11-1-11-1-1-111-1-1-1-1-1-11111111-1-1-1-1111-11-1
χ151111111111111-1-1-1-1-1-1111-1-11111-11-11-11-1-1-11111-1-111-1-1111-1-11-111-1-1-111-1
χ161111111111111-1-1-1-1-1-1111-1-11111-1-1-1-1-11-1-1-11111111111-1-1-11-1-1111-1-11-1-11
χ17222222222222222-2-20000222-2-2-2-2202000-200002200-2-2000000-20000000000
χ18222222222222222-2-20000222-2-2-2-2-20-2000-20000-2-2002200000020000000000
χ192222222222222-2-22200002-2-2-2-2-2-220200020000-2-20022000000-20000000000
χ202222222222222-2-22200002-2-2-2-2-2-2-20-2000200002200-2-200000020000000000
χ2122222222222-2-22-2220000-22-222-2-2020200-2000000000022000-20-2000000000
χ2222222222222-2-22-2220000-22-222-2-20-20-200-20000000000-2-2000202000000000
χ2322222222222-2-22-2-2-20000-22-2-2-222000000200000022000022-2000-200000000
χ2422222222222-2-22-2-2-20000-22-2-2-2220000002000000-2-20000-2-22000200000000
χ2522222222222-2-2-22220000-2-22-2-222000000-2000000220000-2-22000-200000000
χ2622222222222-2-2-22220000-2-22-2-222000000-2000000-2-2000022-2000200000000
χ2722222222222-2-2-22-2-20000-2-2222-2-202020020000000000-2-200020-2000000000
χ2822222222222-2-2-22-2-20000-2-2222-2-20-20-2002000000000022000-202000000000
χ2922222-2-2-222-22200000022-2002-22-200000-20002-22-2002-20000000002-2000000
χ3022222-2-2-222-22200000022-2002-22-200000-20002-2-2200-22000000000-22000000
χ3122222-2-2-222-222000000-2-2-2002-22-2000002000-222-2002-2000000000-22000000
χ3222222-2-2-222-222000000-2-2-2002-22-2000002000-22-2200-220000000002-2000000
χ3322222-2-2-222-22200002200-200-22-220000-2002-2002-200-22000000000002-20000
χ3422222-2-2-222-22200002200-200-22-220000-2002-200-22002-200000000000-220000
χ3522222-2-2-222-2220000-2-200-200-22-220000200-22002-200-2200000000000-220000
χ3622222-2-2-222-2220000-2-200-200-22-220000200-2200-22002-2000000000002-20000
χ37444444-4-4-4-4400400022220-4000000000220-2-2-2-200000000000000000000000
χ38444444-4-4-4-44004000-2-2-2-20-4000000000-2-20222200000000000000000000000
χ39444444-4-4-4-4400-400022-2-2040000000002-20-2-22200000000000000000000000
χ40444444-4-4-4-4400-4000-2-22204000000000-22022-2-200000000000000000000000
χ4144444-444-4-4-4000400222200-400000000-2-20-22-2200000000000000000000000
χ4244444-444-4-4-4000400-2-2-2-200-4000000002202-22-200000000000000000000000
χ4344444-444-4-4-4000-40022-2-200400000000-220-222-200000000000000000000000
χ4444444-444-4-4-4000-400-2-222004000000002-202-2-2200000000000000000000000
χ4544444-4-4-444-4-4-4000000004004-4-440000000000000000000000000000000000
χ4644444-4-4-444-4-4-400000000400-444-40000000000000000000000000000000000
χ47888-8-880000-80000000000000000000000000000000000004i−4i0000000000000
χ48888-8-880000-8000000000000000000000000000000000000−4i4i0000000000000
χ49888-8-8-80000800000000000000000040-4000000000000000000000000000000
χ50888-8-8-800008000000000000000000-404000000000000000000000000000000
χ5188-88-80008-800000000000000000040-40000000000000000000000000000000
χ5288-88-80008-8000000000000000000-4040000000000000000000000000000000
χ5388-88-8000-8808-80000000000000000000000000000000000000000000000000
χ5488-88-8000-880-880000000000000000000000000000000000000000000000000
χ5588-8-8808-800000000000000000000000000000000000004-4000000000000000
χ5688-8-8808-80000000000000000000000000000000000000-44000000000000000
χ5788-8-880-880000000000000000000000000000000004-40000000000000000000
χ5888-8-880-88000000000000000000000000000000000-440000000000000000000
χ5916-1600000000000004-44-44-400000000000000000000000000000000000000000
χ6016-1600000000000004-4-44-4400000000000000000000000000000000000000000
χ6116-160000000000000-444-4-4400000000000000000000000000000000000000000
χ6216-160000000000000-44-444-400000000000000000000000000000000000000000

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