Finite Group Databasebeta

← Group #72337640

Character table — Group #72337640

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67
size11244488888888161616161616161616323232323232323232323232326464646464646464646464646464128128128128128128128128128128128128128128256256256
order1222222222224422222444422244444488882444444444448844444444444488488
χ11111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1111-1-1
χ31111111111111111111111111111-1-1111111111-11-1-11111111-1-1111111-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-111-1-1-1-1-1-11-11-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-1-111
χ511111111111111111111111-1-11111111111111-111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111-1-11111111-1-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1
χ711111111111111111111111-1-1111-1-111111111-1-11-1-11-1-11111-1-1-1-1-1-1-1-11111111-1-1
χ811111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111
χ9222222222222222222222-2-200-22200-2-200000000-200-20000000022-2-200000000000
χ10222222222222222222222-2-200-22200-2-200000000-200-200000000-2-22200000000000
χ1122222222222222-2-22-2-22222222-2-200-2-200000020-2002220000000000-2-2000000000
χ1222222222222222-2-22-2-22222-2-22-2-200-2-2000000-20-2002-2-2000000000022000000000
χ1322222222222222-2-22-2-222-2-200-2-2-200222222-2-200200-200-2-22200000000000000000
χ1422222222222222-2-22-2-222-2-200-2-2-20022-2-2-2-22200200-20022-2-200000000000000000
χ1522222222-2-2-2-222222-2-2-2-2220022-2222200000002-222-2000000-2-2000000000000000
χ1622222222-2-2-2-222222-2-2-2-2220022-2-2-2220000000-2-2-2-2-200000022000000000000000
χ1722222222-2-2-2-222222-2-2-2-2-2-200-22-200-2-2000000002002000000000000002i2i−2i−2i00000
χ1822222222-2-2-2-222222-2-2-2-2-2-200-22-200-2-200000000200200000000000000−2i−2i2i2i00000
χ1922222222-2-2-2-222-2-2222-2-222002-2200-2-200000000200-200000000000000000022-200
χ2022222222-2-2-2-222-2-2222-2-222002-2200-2-200000000200-2000000000000000000-2-2200
χ2122222222-2-2-2-222-2-2222-2-2-2-200-2-22002200000000-20020000000000000000000002-2
χ2222222222-2-2-2-222-2-2222-2-2-2-200-2-22002200000000-2002000000000000000000000-22
χ234444444444-4-4-4-400-4004-400000002200000000020-2-200000002-2000000000000000
χ244444444444-4-4-4-400-4004-40000000-2-2000000000-20220000000-22000000000000000
χ2544444444-4-444-4-400-400-4400000002200000000020-2-20000000-22000000000000000
χ2644444444-4-444-4-400-400-440000000-2-2000000000-202200000002-2000000000000000
χ27444444-4-400004400-400004400-40000002222-2-20000000022-2-200000000000000000
χ28444444-4-400004400-400004400-4000000-2-2-2-22200000000-2-22200000000000000000
χ29444444-4-400004400-40000-4-400400000022222200000000-2-2-2-200000000000000000
χ30444444-4-400004400-40000-4-4004000000-2-2-2-2-2-200000000222200000000000000000
χ31444444-4-40000-4-400400000022000004-4000000200000-2-200000000002-2000000000
χ32444444-4-40000-4-40040000002200000-44000000200000-2-20000000000-22000000000
χ33444444-4-40000-4-4004000000-2-2000004-4000000-200000220000000000-22000000000
χ34444444-4-40000-4-4004000000-2-200000-44000000-2000002200000000002-2000000000
χ35444-4-444-4004400000000-40022000000022-2-200-2000002-2002-200002-200000000000
χ36444-4-444-4004400000000-400220000000-2-22200-2000002-200-220000-2200000000000
χ37444-4-444-4004400000000-400-2-2000000022-2-200200000-22002-20000-2200000000000
χ38444-4-444-4004400000000-400-2-20000000-2-22200200000-2200-2200002-200000000000
χ39444-4-44-4444000000000-400022000000022-2-200-200000-2200-22002-20000000000000
χ40444-4-44-4444000000000-4000220000000-2-22200-200000-22002-200-220000000000000
χ41444-4-44-4444000000000-4000-2-2000000022-2-2002000002-200-2200-220000000000000
χ42444-4-44-4444000000000-4000-2-20000000-2-222002000002-2002-2002-20000000000000
χ438888-8-8000000000004400000000-40000000000000000000000000000002-22-200000
χ448888-8-8000000000004400000000-4000000000000000000000000000000-22-2200000
χ458888-8-800000000000-4-40000000040000000000000000000000000000002i−2i−2i2i00000
χ468888-8-800000000000-4-4000000004000000000000000000000000000000−2i2i2i−2i00000
χ47888-88-800000000440000000000-4044000000000-4000000000000000000000000000
χ48888-88-800000000440000000000-40-4-40000000004000000000000000000000000000
χ49888-88-800000000-4-400000000004000000000000004-4000000000000000000000000
χ50888-88-800000000-4-40000000000400000000000000-44000000000000000000000000
χ51888-8-888-800-8-80000000080000000000000000000000000000000000000000000000
χ52888-8-88-88-8-8000000000800000000000000000000000000000000000000000000000
χ5388-8000004-44-4-444-404-40000000000000004-42-2000000002-20000000000000000000
χ5488-8000004-44-4-444-404-4000000000000000-44-2200000000-220000000000000000000
χ5588-8000004-44-4-44-440-440000000000000004-4-2200000000-220000000000000000000
χ5688-8000004-44-4-44-440-44000000000000000-442-2000000002-20000000000000000000
χ5788-800000-44-44-444-40-4400000000000004-4002-200000000-220000000000000000000
χ5888-800000-44-44-444-40-440000000000000-4400-22000000002-20000000000000000000
χ5988-800000-44-44-44-4404-400000000000004-400-22000000002-20000000000000000000
χ6088-800000-44-44-44-4404-40000000000000-44002-200000000-220000000000000000000
χ611616-16000008-8-888-800000000000000000000000000000000000000000000000000000
χ621616-1600000-888-88-800000000000000000000000000000000000000000000000000000
χ6316-1600000000000000000004-44-40004i−4i000000000000000000000000000000002i−2i000
χ6416-1600000000000000000004-44-4000−4i4i00000000000000000000000000000000−2i2i000
χ6516-1600000000000000000004-4-440004i−4i00000000000000000000000000000000−2i2i000
χ6616-1600000000000000000004-4-44000−4i4i000000000000000000000000000000002i−2i000
χ6732-320000000000000000000-8800000000000000000000000000000000000000000000

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