Finite Group Databasebeta

← Group #335405

Character table — Group #335405

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888244444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-111-1-11-1-1-1-1-1-1-111
χ411111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-111111-1-1
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111111-111
χ71111111111111111111111-1-1-1-1-1-111111111-1-1-1-11111-111-1-11-1-11111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11-1111-1-1-111-1-1-1-11
χ10111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-11-1-1-1-11111-1
χ11111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-111-1-1111-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11111111-1-1-11-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111-1111-1-1-1-1-111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-11-1-111-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11-1-1-11111-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-111111-1-111-1-11
χ1722222222222-2-2-2-22-2-2000022-2-222000022-2-200000000-200000000000000
χ1822222222222-2-2-2-22-2-2000022-2-2-2-20000-2-22200000000200000000000000
χ1922222222222-2-2-2-22-2-20000-2-222220000-2-22200000000-200000000000000
χ2022222222222-2-2-2-22-2-20000-2-222-2-2000022-2-200000000200000000000000
χ2122222222-2-2-22222-2-2-2222200000022-2-20000000000000-2-2002000000000
χ2222222222-2-2-22222-2-2-22222000000-2-2-2-200000000000002200-2000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-2000000222200000000000002-200-2000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-2000000-2-2220000000000000-22002000000000
χ25222-22-2-2-2-22-2000020022−2−22-2002i−2i002−22i−2i0022−2−2i2i2−i2−i2000000i2−i20000000
χ26222-22-2-2-2-22-2000020022−2−22-200−2i2i002−2−2i2i0022−2−2−i2−i2i2i2000000−i2i20000000
χ27222-22-2-2-2-22-2000020022−2−2-22002i−2i002−2−2i2i00−2−222−i2−i2i2i2000000i2−i20000000
χ28222-22-2-2-2-22-2000020022−2−2-2200−2i2i002−22i−2i00−2−222i2i2−i2−i2000000−i2i20000000
χ29222-22-2-2-2-22-20000200−2−2222-2002i−2i00−222i−2i00−2−222−i2−i2i2i2000000−i2i20000000
χ30222-22-2-2-2-22-20000200−2−2222-200−2i2i00−22−2i2i00−2−222i2i2−i2−i2000000i2−i20000000
χ31222-22-2-2-2-22-20000200−2−222-22002i−2i00−22−2i2i0022−2−2i2i2−i2−i2000000−i2i20000000
χ32222-22-2-2-2-22-20000200−2−222-2200−2i2i00−222i−2i0022−2−2−i2−i2i2i2000000i2−i20000000
χ332-2-2-222-22-22222-2-2-22-20000000000000000002i−2i2i−2i00000002-2000002i−2i000
χ342-2-2-222-22-22222-2-2-22-20000000000000000002i−2i2i−2i0000000-2200000−2i2i000
χ352-2-2-222-22-22222-2-2-22-2000000000000000000−2i2i−2i2i00000002-200000−2i2i000
χ362-2-2-222-22-22222-2-2-22-2000000000000000000−2i2i−2i2i0000000-22000002i−2i000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-44-4-4-44-440000-4002222−22−2200000000−2222000000000000000000000000000
χ39444-44-4-4-44-440000-400−22−2222220000000022−22000000000000000000000000000
χ4044-44-4-4-4400000000002i2−2i22i2−2i20000000000002i2−2i200002-22-2000000000000000
χ4144-44-4-4-4400000000002i2−2i22i2−2i2000000000000−2i22i20000-22-22000000000000000
χ4244-44-4-4-440000000000−2i22i2−2i22i20000000000002i2−2i20000-22-22000000000000000
χ4344-44-4-4-440000000000−2i22i2−2i22i2000000000000−2i22i200002-22-2000000000000000
χ4444-4-4-444-40004-44-400000000000000000000000002i2−2i2−2i22i2000000000000000
χ4544-4-4-444-40004-44-40000000000000000000000000−2i22i22i2−2i2000000000000000
χ4644-4-4-444-4000-44-440004i−4i−4i4i0000000000000000000000000000000000000
χ4744-4-4-444-4000-44-44000−4i4i4i−4i0000000000000000000000000000000000000
χ484-444-44-4-40004-4-4400000000000004i−4i00000000000000000000000000000
χ494-444-44-4-40004-4-440000000000000−4i4i00000000000000000000000000000
χ504-444-44-4-4000-444-400000000000000000000000000000000000002i2−2i200000
χ514-444-44-4-4000-444-40000000000000000000000000000000000000−2i22i200000
χ524-4-444-44-444-40000-4000000000000000000002i2−2i2−2i22i20000000000000000000
χ534-4-444-44-444-40000-400000000000000000000−2i22i22i2−2i20000000000000000000
χ544-4-444-44-4-4-4400004000000004-4000000000000000000000000000000000
χ554-4-444-44-4-4-440000400000000-44000000000000000000000000000000000
χ564-4-4-444-444-4-444-4-44-4400000000000000000000000000000000000000000
χ574-4-4-444-444-4-4-4-44444-400000000000000000000000000000000000000000
χ584-4-4-444-44-444-4-444-4-4400000000000000000000000000000000000000000
χ598-88-8-8-888000000000000000000000000000000000000000000000000000

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