Finite Group Databasebeta

← Group #266307

Character table — Group #266307

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222444488888888888888888881616161616161616161616161616161616161616
order12222222444444444444224444444448888888822444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1
χ511111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-11-1-11-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-11-1-11-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-111-1-11-1-1111111111111-1-1-111-111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111
χ911111111111111111-1-111111-1-111-1-1-11111-1-1-1-111-1-1-1-1-1111-1-111-1-111-1-1
χ1011111111111111111-1-111111-1-111-1-1-1-1-1-1-11111-1-111-1-1-1111-1-1-1-111-1-111
χ1111111111111111111-1-111111-1-1-1-1-1111111-1-1-1-1-1-111-1-11-1-1-111-1-11111-1-1
χ1211111111111111111-1-111111-1-1-1-1-111-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-1-111
χ1311111111111111111-1-11-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-111111-1-1-1-111
χ1411111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-111-1-1-1111-1-11111-1-1
χ1511111111111111111-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111111-1-1-1-1-111-1-111
χ1611111111111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111111-1-1-111-1-111-1-1
χ172222222222-2-2-222-2-222-222-2-22-200-2000000000000002-200000000000000
χ182222222222-2-2-222-2-222-2-2-2222-200-200000000000000-2200000000000000
χ192222222222-2-2-222-2-2-2-2-222-2-2-2200200000000000000-2200000000000000
χ202222222222-2-2-222-2-2-2-2-2-2-222-22002000000000000002-200000000000000
χ2122222222-2-2222-2-22-222-20000-2-2222-2-200000000000000200-20000000000
χ2222222222-2-2222-2-22-222-20000-2-2-2-222200000000000000-20020000000000
χ2322222222-2-2222-2-22-2-2-2-200002222-22200000000000000-200-20000000000
χ2422222222-2-2222-2-22-2-2-2-2000022-2-2-2-2-20000000000000020020000000000
χ2522222222-2-2-2-2-2-2-2-222220000-2200-2000000000000000002-202-200000000
χ2622222222-2-2-2-2-2-2-2-222220000-2200-200000000000000000-220-2200000000
χ2722222222-2-2-2-2-2-2-2-22-2-2200002-2002000000000000000002-20-2200000000
χ2822222222-2-2-2-2-2-2-2-22-2-2200002-200200000000000000000-2202-200000000
χ292222-2-2-2-22-222-22-2-2200-22-22-20000000000000002-200000000002-2000000
χ302222-2-2-2-22-222-22-2-2200-22-22-2000000000000000-220000000000-22000000
χ312222-2-2-2-22-222-22-2-2200-2-22-220000000000000002-20000000000-22000000
χ322222-2-2-2-22-222-22-2-2200-2-22-22000000000000000-2200000000002-2000000
χ332222-2-2-2-22-2-2-222-22-20022-2-22000000000000000002i−2i00000000002i−2i0000
χ342222-2-2-2-22-2-2-222-22-20022-2-2200000000000000000−2i2i0000000000−2i2i0000
χ352222-2-2-2-22-2-2-222-22-2002-222-2000000000000000002i−2i0000000000−2i2i0000
χ362222-2-2-2-22-2-2-222-22-2002-222-200000000000000000−2i2i00000000002i−2i0000
χ374444-4-4-4-4-4444-4-44-4-4004000000000000000000000000000000000000000
χ384444-4-4-4-4-44-4-44-444400-4000000000000000000000000000000000000000
χ3944-4-444-4-40000000004-40000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ4044-4-444-4-40000000004-4000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ4144-4-444-4-4000000000-440000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ4244-4-444-4-4000000000-44000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ434-44-44-44-44-4000-4400000000000000000000000000000000000000002i2−2i200
χ444-44-44-44-44-4000-440000000000000000000000000000000000000000−2i22i200
χ454-44-44-44-4-440004-40000000000000000000000000000000000000000002i2−2i2
χ464-44-44-44-4-440004-4000000000000000000000000000000000000000000−2i22i2
χ474-44-4-44-4444000-4-400000000000000002i2−2i22i2−2i2000000000000000000000000
χ484-44-4-44-4444000-4-40000000000000000−2i22i2−2i22i2000000000000000000000000
χ494-44-4-44-44-4-4000440000000000000000000022−2222−2200000000000000000000
χ504-44-4-44-44-4-40004400000000000000000000−2222−222200000000000000000000
χ514-4-444-4-44004-4400-400000000004i−4i0000000000000000000000000000000
χ524-4-444-4-44004-4400-40000000000−4i4i0000000000000000000000000000000
χ534-4-444-4-4400-44-400400000000000004-40000000000000000000000000000
χ544-4-444-4-4400-44-40040000000000000-440000000000000000000000000000
χ554-4-44-444-4004-4-400400000000000000022−22−2222000000000000000000000000
χ564-4-44-444-4004-4-4004000000000000000−222222−22000000000000000000000000
χ574-4-44-444-400-44400-400000000000000000002i2−2i2−2i22i200000000000000000000
χ584-4-44-444-400-44400-40000000000000000000−2i22i22i2−2i200000000000000000000
χ5988-8-8-8-888000000000000000000000000000000000000000000000000000

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