Finite Group Databasebeta

← Group #266365

Character table — Group #266365

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222444488888888888888888881616161616161616161616161616161616161616
order12222222444444444444444444444448888888822444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11-1-111111111-1-1-11-1-11-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111-11-1-11-1-1-1111111-1-1-1-1
χ5111111111111111111111-1-1-1-111111111111111-1-11-1-1-1-11-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-111-1-1-1-11111
χ7111111111111111111111-1-1-1-11-1-11-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-1
χ8111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111
χ911111111111111111-1-11-11111-111-1-1-11111-1-1-1-1111-111-1-1-1-1-1-111-1-111-1-1
χ1011111111111111111-1-11-11111-111-1-1-1-1-1-1-11111-1-11-111-1-1-1-111-1-111-1-111
χ1111111111111111111-1-11-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1
χ1211111111111111111-1-11-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1111-1-111-1-1-1-111
χ1311111111111111111-1-11-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-111-1-11-1111111-1-1-1-111
χ1411111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-111111111-1-11-111-1-1-1-11111-1-1
χ1511111111111111111-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-111-111111-1-1-1-1-1-111-1-111
χ1611111111111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111111-1-11111-1-111-1-1
χ1722222222222-2-2-2-22-222-2-20000222-2-2-20000000000-200002000000000000
χ1822222222222-2-2-2-22-222-2-200002-2-2-222000000000020000-2000000000000
χ1922222222222-2-2-2-22-2-2-2-220000-2222220000000000-20000-2000000000000
χ2022222222222-2-2-2-22-2-2-2-220000-2-2-22-2-20000000000200002000000000000
χ2122222222-2-2-22222-2-222-2-222-2-2-20020000000000000200-20000000000000
χ2222222222-2-2-22222-2-222-2-2-2-222-20020000000000000-20020000000000000
χ2322222222-2-2-22222-2-2-2-2-2222-2-2200-20000000000000-20020000000000000
χ2422222222-2-2-22222-2-2-2-2-22-2-222200-20000000000000200-20000000000000
χ2522222222-2-2-2-2-2-2-2-2222220000-200-2000000000000002-2002-20000000000
χ2622222222-2-2-2-2-2-2-2-2222220000-200-200000000000000-2200-220000000000
χ2722222222-2-2-2-2-2-2-2-22-2-22-200002002000000000000002-200-220000000000
χ2822222222-2-2-2-2-2-2-2-22-2-22-20000200200000000000000-22002-20000000000
χ292222-2-2-2-222-22-22-2-2200-202-22-2000000000000002-200000000002-2000000
χ302222-2-2-2-222-22-22-2-2200-202-22-200000000000000-220000000000-22000000
χ312222-2-2-2-222-22-22-2-2200-20-22-22000000000000002-20000000000-22000000
χ322222-2-2-2-222-22-22-2-2200-20-22-2200000000000000-2200000000002-2000000
χ332222-2-2-2-2-2-222-22-22-200202-2-220000000000000000000000002i−2i002i−2i0000
χ342222-2-2-2-2-2-222-22-22-200202-2-22000000000000000000000000−2i2i00−2i2i0000
χ352222-2-2-2-2-2-222-22-22-20020-222-20000000000000000000000002i−2i00−2i2i0000
χ362222-2-2-2-2-2-222-22-22-20020-222-2000000000000000000000000−2i2i002i−2i0000
χ374444-4-4-4-444-4-44-44-4-4004000000000000000000000000000000000000000
χ384444-4-4-4-4-4-44-44-444400-4000000000000000000000000000000000000000
χ3944-4-44-44-44-440000-40000000000000002222−22−22000000000000000000000000
χ4044-4-44-44-44-440000-4000000000000000−22−222222000000000000000000000000
χ4144-4-44-44-4-44-40000400000000000000000002i22i2−2i2−2i200000000000000000000
χ4244-4-44-44-4-44-4000040000000000000000000−2i2−2i22i22i200000000000000000000
χ4344-4-4-44-444-4-40000400000000004-40000000000000000000000000000000
χ4444-4-4-44-444-4-4000040000000000-440000000000000000000000000000000
χ4544-4-4-44-44-4440000-400000000000004i−4i0000000000000000000000000000
χ4644-4-4-44-44-4440000-40000000000000−4i4i0000000000000000000000000000
χ474-44-444-4-400044-4-4000000000000000000000000000000000000000022−2200
χ484-44-444-4-400044-4-40000000000000000000000000000000000000000−222200
χ494-44-444-4-4000-4-4440000000000000000000000000000000000000000002i2−2i2
χ504-44-444-4-4000-4-444000000000000000000000000000000000000000000−2i22i2
χ514-44-4-4-4440004-4-44000000000000000022−2222−22000000000000000000000000
χ524-44-4-4-4440004-4-440000000000000000−2222−2222000000000000000000000000
χ534-44-4-4-444000-444-40000000000000000000022−2222−2200000000000000000000
χ544-44-4-4-444000-444-400000000000000000000−2222−222200000000000000000000
χ554-4-44-444-40000000004i−4i0000000000002-2-222i−2i−2i2i00000000000000000000
χ564-4-44-444-40000000004i−4i000000000000-222-2−2i2i2i−2i00000000000000000000
χ574-4-44-444-4000000000−4i4i0000000000002-2-22−2i2i2i−2i00000000000000000000
χ584-4-44-444-4000000000−4i4i000000000000-222-22i−2i−2i2i00000000000000000000
χ598-8-888-8-88000000000000000000000000000000000000000000000000000

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