Finite Group Databasebeta

← Group #266336

Character table — Group #266336

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222444488888888888888888881616161616161616161616161616161616161616
order12222222444444444444444444444448888888844444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111111111-1-1-11-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11-1111-1-1-1-1-111-1-1-1-11111
χ51111111111111111111111-1-1-1-11111111111111-11-1-1-11-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1111-11-1-1-1-1111111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111
χ911111111111111111-1-11-1-1111111-1-1-11111-1-1-1-1-1111-1-111-1-1-1-111-1-111-1-1
χ1011111111111111111-1-11-1-1111111-1-1-1-1-1-1-11111-11-1-1-1-111-1-111-1-111-1-111
χ1111111111111111111-1-11-1-11111-1-111-11111-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111
χ1211111111111111111-1-11-1-11111-1-111-1-1-1-1-11111-1-111-11-1-111-1-1-1-11111-1-1
χ1311111111111111111-1-11-1-1-1-1-1-111-1-1-11111-1-1-1-111-1-11-1-1-11111-1-11111-1-1
χ1411111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1-111-1-111-1-1-1-111
χ1511111111111111111-1-11-1-1-1-1-1-1-1-111-11111-1-1-1-11-1111111-1-1-1-1-1-111-1-111
χ1611111111111111111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1-11111-1-11111-1-111-1-1
χ172222222222-2-222-2-2-222-22-222-2-20000-2000000002000-2000000000000000
χ182222222222-2-222-2-2-222-22-2-2-2220000-200000000-20002000000000000000
χ192222222222-2-222-2-2-2-2-2-2-2222-2-20000200000000-20002000000000000000
χ202222222222-2-222-2-2-2-2-2-2-22-2-22200002000000002000-2000000000000000
χ2122222222-2-222-2-222-222-2-2-2000022-2-22000000000-2000200000000000000
χ2222222222-2-222-2-222-222-2-2-20000-2-22220000000002000-200000000000000
χ2322222222-2-222-2-222-2-2-2-22200002222-2000000000-2000-200000000000000
χ2422222222-2-222-2-222-2-2-2-2220000-2-2-2-2-20000000002000200000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2200000000-2000000000000002-22-20000000000
χ2622222222-2-2-2-2-2-2-2-22222-2200000000-200000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-22-2-222-2000000002000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-22-2-222-200000000200000000000000-222-20000000000
χ29222-2-22-2-22-2222-2-2-2200-2002-22-20000000000000002-20000000000002-200
χ30222-2-22-2-22-2222-2-2-2200-2002-22-2000000000000000-22000000000000-2200
χ31222-2-22-2-22-2222-2-2-2200-200-22-220000000000000002-2000000000000-2200
χ32222-2-22-2-22-2222-2-2-2200-200-22-22000000000000000-220000000000002-200
χ33222-2-22-2-22-2-2-22-222-2002002-2-22000000000000000000000002i−2i0000002i−2i
χ34222-2-22-2-22-2-2-22-222-2002002-2-2200000000000000000000000−2i2i000000−2i2i
χ35222-2-22-2-22-2-2-22-222-200200-222-2000000000000000000000002i−2i000000−2i2i
χ36222-2-22-2-22-2-2-22-222-200200-222-200000000000000000000000−2i2i0000002i−2i
χ37444-4-44-4-4-4444-44-4-4-4004000000000000000000000000000000000000000
χ38444-4-44-4-4-44-4-4-4444400-4000000000000000000000000000000000000000
χ3944-44-4-44-40000000004-400000000000022-2-222-2-200000000000000000000
χ4044-44-4-44-40000000004-4000000000000-2-222-2-22200000000000000000000
χ4144-44-4-44-4000000000-4400000000000022-2-2-2-22200000000000000000000
χ4244-44-4-44-4000000000-44000000000000-2-22222-2-200000000000000000000
χ434-444-4-4-444400-4-40000000000000000000000000000000000000002i2−2i20000
χ444-444-4-4-444400-4-4000000000000000000000000000000000000000−2i22i20000
χ454-444-4-4-44-4-40044000000000000000000000000000000000000022−22000000
χ464-444-4-4-44-4-400440000000000000000000000000000000000000−2222000000
χ474-44-44-44-44-400-4400000000000000000000022−2222−2200000000000000000000
χ484-44-44-44-44-400-44000000000000000000000−2222−222200000000000000000000
χ494-44-44-44-4-44004-40000000000000000022−2222−22000000000000000000000000
χ504-44-44-44-4-44004-400000000000000000−2222−2222000000000000000000000000
χ514-4-4444-4-4004-4004-40000000000004-400000000000000000000000000000
χ524-4-4444-4-4004-4004-4000000000000-4400000000000000000000000000000
χ534-4-4444-4-400-4400-4400000000004-40000000000000000000000000000000
χ544-4-4444-4-400-4400-440000000000-440000000000000000000000000000000
χ554-4-4-4-4444004-400-44000000000000000000022−22−222200000000000000000000
χ564-4-4-4-4444004-400-440000000000000000000−222222−2200000000000000000000
χ574-4-4-4-444400-44004-400000000000000022−22−2222000000000000000000000000
χ584-4-4-4-444400-44004-4000000000000000−222222−22000000000000000000000000
χ5988-8-88-8-88000000000000000000000000000000000000000000000000000

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