Finite Group Databasebeta

← Group #72285849

Character table — Group #72285849

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size11244444888888816161616161616161616163232323232323232323264646464646464
order1222222222222224444444444424444444444448888
χ11111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111-1-1111-1-1-1-1-1-1
χ31111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111111-1-1-1-1
χ41111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111
χ511111111-1-1-1-1111111-1-1-1-111-1-11111-1-11111-1-1-111-1-1
χ611111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111-111-1-111
χ711111111-1-1-1-11111-1-111-1-1-1-11111-1-1111111-1-1-1-1-111
χ811111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-111-11111-1-1
χ92222222200002-2-2-200220000220000-2-2002-20000000
χ102222222200002-2-2-200-2-20000-2-2000022002-20000000
χ112222222200002-2-2-2220000220000-2-20000-220000000
χ122222222200002-2-2-2-2-20000-2-20000220000-220000000
χ132222222222222222000022000000000000-2-2-2000000
χ1422222222-2-2-2-222220000-2-2000000000000-2-22000000
χ15222-2-22222222-222-20000-2-2000000000000000002−22−2
χ16222-2-22222222-222-20000-2-200000000000000000−22−22
χ17222-2-2222-2-2-2-2-222-2000022000000000000000002−2−22
χ18222-2-2222-2-2-2-2-222-200002200000000000000000−222−2
χ19444444-4-40000-40000000000000220000-2-2000000000
χ20444444-4-40000-40000000000000-2-2000022000000000
χ214444-4-40022-2-2000000222-200-2-2002-20000000000000
χ224444-4-40022-2-2000000-2-22-2002200-220000000000000
χ234444-4-400-2-22200000022-2200-2-200-220000000000000
χ244444-4-400-2-222000000-2-2-220022002-20000000000000
χ25444-44-40022-2-200002200-22-2-20000002-200000000000
χ26444-44-40022-2-20000-2-200-2222000000-2200000000000
χ27444-44-400-2-222000022002-2-2-2000000-2200000000000
χ28444-44-400-2-2220000-2-2002-2220000002-200000000000
χ29444-4-44440000-4-4-44000000000000000000000000000
χ30444-4-44-4-4000040000000000000000000000002-20000
χ31444-4-44-4-400004000000000000000000000000-220000
χ3288-800000000004-4000000000002-200002-2000000000
χ3388-800000000004-400000000000-220000-22000000000
χ3488-80000000000-44000000000002-20000-22000000000
χ3588-80000000000-4400000000000-2200002-2000000000
χ368-800004-4004-400002i−2i2i−2i002i−2i2i−2i00000000000000000
χ378-800004-4004-40000−2i2i−2i2i00−2i2i−2i2i00000000000000000
χ388-800004-400-4400002i−2i−2i2i002i−2i−2i2i00000000000000000
χ398-800004-400-440000−2i2i2i−2i00−2i2i2i−2i00000000000000000
χ408-80000-444-40000002i−2i2i−2i00−2i2i−2i2i00000000000000000
χ418-80000-444-4000000−2i2i−2i2i002i−2i2i−2i00000000000000000
χ428-80000-44-440000002i−2i−2i2i00−2i2i2i−2i00000000000000000
χ438-80000-44-44000000−2i2i2i−2i002i−2i−2i2i00000000000000000

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