Finite Group Databasebeta

← Group #72267058

Character table — Group #72267058

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67
size11244488888888161616161616161616323232323232323232323232326464646464646464646464646464128128128128128128128128128128128128128128256256256
order1222222222224422244444422222244488882444444444448844444444888888488
χ11111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1
χ311111111111111111111111111-1-111111111111-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1
χ5111111111111111111111111-1-1111111111111-111-1-11111111-1-1111111-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1111111-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-111-1-11111-111
χ7111111111111111111111111-1-1-1-11111111111-1-11-1-11-1-11111-1-1-1-1-1-1-1-11111111-1-1
χ8111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111
χ92222222222222222222-222-220000-22-2-200000000-200-20000000022-2-200000000000
χ102222222222222222222-222-220000-22-2-200000000-200-200000000-2-22200000000000
χ1122222222222222-2-22222-2-22-200222-2-2-200000002-2002220000000000-2-2000000000
χ1222222222222222-2-22222-2-22-200-2-22-2-2-20000000-2-2002-2-2000000000022000000000
χ1322222222222222-2-2222-2-2-2-2-20000-2-2222222-2-200200-200-2-22200000000000000000
χ1422222222222222-2-2222-2-2-2-2-20000-2-222-2-2-2-22200200-20022-2-200000000000000000
χ1522222222-2-2-2-222222-2-22-2-22-22200222200000020-222-2000000-2-2000000000000000
χ1622222222-2-2-2-222222-2-22-2-22-2-2-2002222000000-20-2-2-2-200000022000000000000000
χ1722222222-2-2-2-222222-2-2-2-2-2-2-20000-22-2-200000000200200000000000000002i2i−2i−2i000
χ1822222222-2-2-2-222222-2-2-2-2-2-2-20000-22-2-20000000020020000000000000000−2i−2i2i2i000
χ1922222222-2-2-2-222-2-22-2-22222200002-2-2-200000000200-200000000000000220000-200
χ2022222222-2-2-2-222-2-22-2-22222200002-2-2-200000000200-200000000000000-2-20000200
χ2122222222-2-2-2-222-2-22-2-2-222-220000-2-22200000000-20020000000000000000000002-2
χ2222222222-2-2-2-222-2-22-2-2-222-220000-2-22200000000-2002000000000000000000000-22
χ234444444444-4-4-4-400-44-40000022000000000000200-2-200000002-2000000000000000
χ244444444444-4-4-4-400-44-400000-2-2000000000000-200220000000-22000000000000000
χ2544444444-4-444-4-400-4-440000022000000000000200-2-20000000-22000000000000000
χ2644444444-4-444-4-400-4-4400000-2-2000000000000-2002200000002-2000000000000000
χ27444444-4-400004400-400400400000-40002222-2-20000000022-2-200000000000000000
χ28444444-4-400004400-400400400000-4000-2-2-2-22200000000-2-22200000000000000000
χ29444444-4-400004400-400-400-400000400022222200000000-2-2-2-200000000000000000
χ30444444-4-400004400-400-400-4000004000-2-2-2-2-2-200000000222200000000000000000
χ31444444-4-40000-4-400400000000022004-4000000020000-2-200000000002-2000000000
χ32444444-4-40000-4-40040000000002200-44000000020000-2-20000000000-22000000000
χ33444444-4-40000-4-4004000000000-2-2004-40000000-20000220000000000-22000000000
χ34444444-4-40000-4-4004000000000-2-200-440000000-200002200000000002-2000000000
χ35444-4-444-40044000000-4000000022000022-2-2000-200002-2002-200002-200000000000
χ36444-4-444-40044000000-40000000220000-2-222000-200002-200-220000-2200000000000
χ37444-4-444-40044000000-40000000-2-2000022-2-200020000-22002-20000-2200000000000
χ38444-4-444-40044000000-40000000-2-20000-2-22200020000-2200-2200002-200000000000
χ39444-4-44-44440000000-40000000022000022-2-2000-20000-2200-22002-20000000000000
χ40444-4-44-44440000000-400000000220000-2-222000-20000-22002-200-220000000000000
χ41444-4-44-44440000000-400000000-2-2000022-2-2000200002-200-2200-220000000000000
χ42444-4-44-44440000000-400000000-2-20000-2-222000200002-2002-2002-20000000000000
χ438888-8-800000000000000440-40000000000000000000000000000000000002-22-2000
χ448888-8-800000000000000440-4000000000000000000000000000000000000-22-22000
χ458888-8-800000000000000-4-4040000000000000000000000000000000000002i−2i−2i2i000
χ468888-8-800000000000000-4-404000000000000000000000000000000000000−2i2i2i−2i000
χ47888-88-800000000440000000044000-400000000-40000000000000000000000000000
χ48888-88-8000000004400000000-4-4000-40000000040000000000000000000000000000
χ49888-88-800000000-4-400000000000004000000000004-4000000000000000000000000
χ50888-88-800000000-4-40000000000000400000000000-44000000000000000000000000
χ51888-8-888-800-8-80000008000000000000000000000000000000000000000000000000
χ52888-8-88-88-8-8000000080000000000000000000000000000000000000000000000000
χ5388-8000004-44-4-444-400004-40000000000004-42-2000000002-20000000000000000000
χ5488-8000004-44-4-444-400004-4000000000000-44-2200000000-220000000000000000000
χ5588-8000004-44-4-44-440000-440000000000004-4-2200000000-220000000000000000000
χ5688-8000004-44-4-44-440000-44000000000000-442-2000000002-20000000000000000000
χ5788-800000-44-44-444-40000-4400000000004-4002-200000000-220000000000000000000
χ5888-800000-44-44-444-40000-440000000000-4400-22000000002-20000000000000000000
χ5988-800000-44-44-44-4400004-400000000004-400-22000000002-20000000000000000000
χ6088-800000-44-44-44-4400004-40000000000-44002-200000000-220000000000000000000
χ611616-16000008-8-888-800000000000000000000000000000000000000000000000000000
χ621616-1600000-888-88-800000000000000000000000000000000000000000000000000000
χ6316-1600000000000000000-400404-44-40000000000000000000000000000002-20000000
χ6416-1600000000000000000-400404-4-44000000000000000000000000000000-220000000
χ6516-1600000000000000000-40040-444-4000000000000000000000000000000-220000000
χ6616-1600000000000000000-40040-44-440000000000000000000000000000002-20000000
χ6732-3200000000000000000800-800000000000000000000000000000000000000000000

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