Finite Group Databasebeta

← Group #276914

Character table — Group #276914

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444888844444448888888888444444888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1
χ811111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ9111111111111111111-1-1111111-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-1-11-1
χ10111111111111111111-1-1111111-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-11
χ11111111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111-1
χ12111111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-11
χ13111111111111111111-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-11
χ14111111111111111111-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1111-1
χ1722222222222-2-2-2-22-2-2220000222-2-2-2-200000000002-20000000000000000
χ1822222222222-2-2-2-22-2-2220000-2-22-2-2220000000000-220000000000000000
χ1922222222222-2-2-2-22-2-2-2-2000022-222-2-20000000000-220000000000000000
χ2022222222222-2-2-2-22-2-2-2-20000-2-2-2222200000000002-20000000000000000
χ2122222222-2-2-22222-2-2-222222200-2-2200-2-222-2-20000000000000000000000
χ2222222222-2-2-22222-2-2-222-2-2-2-200-2-220022-2-2220000000000000000000000
χ2322222222-2-2-22222-2-2-2-2-222220022-200-2-2-2-2220000000000000000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-2-2-20022-2002222-2-20000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222000000-22-2000000002i2i−2i−2i0000002i−2i0000000000
χ2622222222-2-2-2-2-2-2-2-22222000000-22-200000000−2i−2i2i2i000000−2i2i0000000000
χ2722222222-2-2-2-2-2-2-2-222-2-20000002-22000000002i2i−2i−2i000000−2i2i0000000000
χ2822222222-2-2-2-2-2-2-2-222-2-20000002-2200000000−2i−2i2i2i0000002i−2i0000000000
χ29222-22-2-2-22-2-222-2-222-20000002i−2i0002i−2i000000000000002i−2i00002-2000000
χ30222-22-2-2-22-2-222-2-222-20000002i−2i0002i−2i00000000000000−2i2i0000-22000000
χ31222-22-2-2-22-2-222-2-222-2000000−2i2i000−2i2i000000000000002i−2i0000-22000000
χ32222-22-2-2-22-2-222-2-222-2000000−2i2i000−2i2i00000000000000−2i2i00002-2000000
χ33222-22-2-2-22-2-2-2-2222-220000002i−2i000−2i2i0000000000002-200002i−2i00000000
χ34222-22-2-2-22-2-2-2-2222-220000002i−2i000−2i2i000000000000-220000−2i2i00000000
χ35222-22-2-2-22-2-2-2-2222-22000000−2i2i0002i−2i0000000000002-20000−2i2i00000000
χ36222-22-2-2-22-2-2-2-2222-22000000−2i2i0002i−2i000000000000-2200002i−2i00000000
χ37444-44-4-4-4-44444-4-4-4-4400000000000000000000000000000000000000000
χ38444-44-4-4-4-444-4-444-44-400000000000000000000000000000000000000000
χ3944-44-44-4-44-440000-400000000000000000000022−2222−22000000000000000000
χ4044-44-44-4-44-440000-4000000000000000000000−2222−2222000000000000000000
χ4144-44-44-4-4-44-4000040000000000000000000002i2−2i2−2i22i2000000000000000000
χ4244-44-44-4-4-44-400004000000000000000000000−2i22i22i2−2i2000000000000000000
χ4344-4-4-4-44444-40000-400002222−22−22000000022−2200000000000000000000000000
χ4444-4-4-4-44444-40000-40000−22−2222220000000−222200000000000000000000000000
χ4544-4-4-4-444-4-440000400002222−22−220000000−222200000000000000000000000000
χ4644-4-4-4-444-4-44000040000−22−222222000000022−2200000000000000000000000000
χ474-44-4-44-4400000000004i−4i2i2−2i22i2−2i200000000022−22000000000000000000000000
χ484-44-4-44-4400000000004i−4i−2i22i2−2i22i2000000000−2222000000000000000000000000
χ494-44-4-44-440000000000−4i4i2i2−2i22i2−2i2000000000−2222000000000000000000000000
χ504-44-4-44-440000000000−4i4i−2i22i2−2i22i200000000022−22000000000000000000000000
χ514-4-444-4-440004-44-4000000000000000000004i−4i0000000000000000000000
χ524-4-444-4-440004-44-400000000000000000000−4i4i0000000000000000000000
χ534-4-444-4-44000-44-44000004i−4i−4i4i00000000000000000000000000000000000
χ544-4-444-4-44000-44-4400000−4i4i4i−4i00000000000000000000000000000000000
χ554-4-4-4444-40004-4-44000000000000000000000000000000000000002i2−2i20000
χ564-4-4-4444-40004-4-4400000000000000000000000000000000000000−2i22i20000
χ574-4-4-4444-4000-444-400000000000000000000000000000000000000002i2−2i200
χ584-4-4-4444-4000-444-40000000000000000000000000000000000000000−2i22i200
χ598-888-8-88-8000000000000000000000000000000000000000000000000000

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