Finite Group Databasebeta

← Group #72337697

Character table — Group #72337697

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67
size11244488888888161616161616161616323232323232323232323232326464646464646464646464646464128128128128128128128128128128128128128128256256256
order1222222222224422244444422224444488882444444444448844444444444488488
χ11111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-11-11111111-1-1-1-111-1-1-1-111-1-1-1-1111-1-1
χ31111111111111111111111111111-1-11111111-1111-1-11111111-1-1111111-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-111-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-1-111
χ5111111111111111111111111-1-11111111111111-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1111111-1-1-1-1-11-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1
χ7111111111111111111111111-1-111-1-11111111-11-11-1-11-1-11111-1-1-1-1-1-1-1-11111111-1-1
χ8111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111
χ9222222222222222222222-2-2200-2200-2-200000000-200-20000000022-2-200000000000
χ10222222222222222222222-2-2200-2200-2-200000000-200-200000000-2-22200000000000
χ11222222222222222-2-222-2-222-2222-200-2-200000002-2002220000000000-2-2000000000
χ12222222222222222-2-222-2-222-2-2-22-200-2-20000000-2-2002-2-2000000000022000000000
χ13222222222222222-2-222-2-2-2-2-200-2-200222222-20-20200-200-2-22200000000000000000
χ14222222222222222-2-222-2-2-2-2-200-2-20022-2-2-2-22020200-20022-2-200000000000000000
χ1522222222-2-2-2-222222-2-2-2-222-2002200-2-200000000200-200000000000000000022-200
χ1622222222-2-2-2-222222-2-2-2-222-2002200-2-200000000200-2000000000000000000-2-2200
χ1722222222-2-2-2-222222-2-2-2-2-2-2-200-22002200000000-20020000000000000000000002-2
χ1822222222-2-2-2-222222-2-2-2-2-2-2-200-22002200000000-2002000000000000000000000-22
χ1922222222-2-2-2-2222-2-2-2-222222002-2222200000200-222-2000000-2-2000000000000000
χ2022222222-2-2-2-2222-2-2-2-222222002-2-2-22200000-200-2-2-2-200000022000000000000000
χ2122222222-2-2-2-2222-2-2-2-222-2-2200-2-200-2-2000000002002000000000000002i2i−2i−2i00000
χ2222222222-2-2-2-2222-2-2-2-222-2-2200-2-200-2-200000000200200000000000000−2i−2i2i2i00000
χ234444444444-4-4-4-4-4004-40000000002200000002000-2-200000002-2000000000000000
χ244444444444-4-4-4-4-4004-4000000000-2-20000000-2000220000000-22000000000000000
χ2544444444-4-444-4-4-400-440000000002200000002000-2-20000000-22000000000000000
χ2644444444-4-444-4-4-400-44000000000-2-20000000-20002200000002-2000000000000000
χ27444444-4-4000044-400000044000-4000002222-20-2000000022-2-200000000000000000
χ28444444-4-4000044-400000044000-400000-2-2-2-22020000000-2-22200000000000000000
χ29444444-4-4000044-4000000-4-400040000022222020000000-2-2-2-200000000000000000
χ30444444-4-4000044-4000000-4-4000400000-2-2-2-2-20-20000000222200000000000000000
χ31444444-4-40000-4-440000000002200004-4000000020000-2-200000000002-2000000000
χ32444444-4-40000-4-44000000000220000-44000000020000-2-20000000000-22000000000
χ33444444-4-40000-4-44000000000-2-200004-40000000-20000220000000000-22000000000
χ34444444-4-40000-4-44000000000-2-20000-440000000-200002200000000002-2000000000
χ35444-4-444-40044000000-4000002200000022-2-2000-200002-2002-200002-200000000000
χ36444-4-444-40044000000-40000022000000-2-222000-200002-200-220000-2200000000000
χ37444-4-444-40044000000-400000-2-200000022-2-200020000-22002-20000-2200000000000
χ38444-4-444-40044000000-400000-2-2000000-2-22200020000-2200-2200002-200000000000
χ39444-4-44-44440000000-40000002200000022-2-2000-20000-2200-22002-20000000000000
χ40444-4-44-44440000000-400000022000000-2-222000-20000-22002-200-220000000000000
χ41444-4-44-44440000000-4000000-2-200000022-2-2000200002-200-2200-220000000000000
χ42444-4-44-44440000000-4000000-2-2000000-2-222000200002-2002-2002-20000000000000
χ438888-8-8000000000440000000000-40000000000000000000000000000002-22-200000
χ448888-8-8000000000440000000000-4000000000000000000000000000000-22-2200000
χ458888-8-8000000000-4-4000000000040000000000000000000000000000002i−2i−2i2i00000
χ468888-8-8000000000-4-400000000004000000000000000000000000000000−2i2i2i−2i00000
χ47888-88-800000000000004400-40000440000000-400000000000000000000000000000
χ48888-88-800000000000004400-40000-4-40000000400000000000000000000000000000
χ49888-88-80000000000000-4-4004000000000000000004-4000000000000000000000000
χ50888-88-80000000000000-4-400400000000000000000-44000000000000000000000000
χ51888-8-888-800-8-80000008000000000000000000000000000000000000000000000000
χ52888-8-88-88-8-8000000080000000000000000000000000000000000000000000000000
χ5388-8000004-44-4-4404-4004-400000000000004-420-200000002-20000000000000000000
χ5488-8000004-44-4-4404-4004-40000000000000-44-2020000000-220000000000000000000
χ5588-8000004-44-4-440-4400-4400000000000004-4-2020000000-220000000000000000000
χ5688-8000004-44-4-440-4400-440000000000000-4420-200000002-20000000000000000000
χ5788-800000-44-44-4404-400-44000000000004-40020-20000000-220000000000000000000
χ5888-800000-44-44-4404-400-4400000000000-4400-20200000002-20000000000000000000
χ5988-800000-44-44-440-44004-4000000000004-400-20200000002-20000000000000000000
χ6088-800000-44-44-440-44004-400000000000-440020-20000000-220000000000000000000
χ611616-16000008-8-888-800000000000000000000000000000000000000000000000000000
χ621616-1600000-888-88-800000000000000000000000000000000000000000000000000000
χ6316-1600000000000000000004-404-4004i−4i000000000000000000000000000000002i−2i000
χ6416-1600000000000000000004-404-400−4i4i00000000000000000000000000000000−2i2i000
χ6516-1600000000000000000004-40-44004i−4i00000000000000000000000000000000−2i2i000
χ6616-1600000000000000000004-40-4400−4i4i000000000000000000000000000000002i−2i000
χ6732-320000000000000000000-8800000000000000000000000000000000000000000000

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