Finite Group Databasebeta

← Group #255820

Character table — Group #255820

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222444488888888888888888881616161616161616161616161616161616161616
order12222222444444444444222444444448888888824444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-111-1-1111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11-1-111111111-1-11-1-1-1-1-1-11-1-1-1-1-1-11111
χ411111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-11111-1-1-1-1
χ5111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-1-11111
χ7111111111111111111111-1-1-1-11-1-11-1-111111111-1-1-1111111-111-1-1-1-1-1-1-1-1
χ8111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111
χ91111111111111111-1-111-111-1-1-111-1111111-1-1-1-1-1-1-111-1-1-1-111111-1-111-1-1
χ101111111111111111-1-111-111-1-1-111-111-1-1-1-11111-1-1-1-1-1-1-111111-1-111-1-111
χ111111111111111111-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-111111-1-1-1-11111-1-1
χ121111111111111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-11-1-111-1-1-1-111
χ131111111111111111-1-111-1-1-111-111-1111111-1-1-1-1-1-11-1-11111-1-1-111-1-1-1-111
χ141111111111111111-1-111-1-1-111-111-111-1-1-1-11111-1-111111-1-1-1-1-1-1-11111-1-1
χ151111111111111111-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-111-1-111-1-111
χ161111111111111111-1-111-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-11111-1-111-1-1
χ172222222222-2-2-222-222-2-2222-2-2-200-20000000000002000000-20000000000
χ182222222222-2-2-222-222-2-22-2-222-200-2000000000000-200000020000000000
χ192222222222-2-2-222-2-2-2-2-2-222222002000000000000-2000000-20000000000
χ202222222222-2-2-222-2-2-2-2-2-2-2-2-2-22002000000000000200000020000000000
χ2122222222-2-2222-2-2222-2-2-20000222-2-2-200000000-22000000000000000000
χ2222222222-2-2222-2-2222-2-2-200002-2-2-222000000002-2000000000000000000
χ2322222222-2-2222-2-22-2-2-2-220000-2222-2-2000000002-2000000000000000000
χ2422222222-2-2222-2-22-2-2-2-220000-2-2-222200000000-22000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-20000-20020000000000000002-20002-200000000
χ2622222222-2-2-2-2-2-2-2-22222-20000-2002000000000000000-22000-2200000000
χ2722222222-2-2-2-2-2-2-2-2-2-22220000200-20000000000000002-2000-2200000000
χ2822222222-2-2-2-2-2-2-2-2-2-22220000200-2000000000000000-220002-200000000
χ292-2-222-2-222-222-22-2-2002-20000002-202-20000000000000002i−2i0000000002i−2i
χ302-2-222-2-222-222-22-2-2002-20000002-202-2000000000000000−2i2i000000000−2i2i
χ312-2-222-2-222-222-22-2-2002-2000000-220-220000000000000002i−2i000000000−2i2i
χ322-2-222-2-222-222-22-2-2002-2000000-220-22000000000000000−2i2i0000000002i−2i
χ332-2-222-2-22-2222-2-22-200-220000002-20-22000000000002i−2i000000000002i−2i00
χ342-2-222-2-22-2222-2-22-200-220000002-20-2200000000000−2i2i00000000000−2i2i00
χ352-2-222-2-22-2222-2-22-200-22000000-2202-2000000000002i−2i00000000000−2i2i00
χ362-2-222-2-22-2222-2-22-200-22000000-2202-200000000000−2i2i000000000002i−2i00
χ374444-4-4-4-44-4000-4400000000000000002222−22−22000000000000000000000000
χ384444-4-4-4-44-4000-440000000000000000−22−222222000000000000000000000000
χ394444-4-4-4-4-440004-4000000000000000000002222−22−2200000000000000000000
χ404444-4-4-4-4-440004-400000000000000000000−22−22222200000000000000000000
χ4144-4-4-4-444004-4400-4000000000000000000000000000000000002i2−2i2000000
χ4244-4-4-4-444004-4400-400000000000000000000000000000000000−2i22i2000000
χ4344-4-4-4-44400-44-4004000000000000000000000000000000000000022−220000
χ4444-4-4-4-44400-44-40040000000000000000000000000000000000000−22220000
χ454-44-44-44-4000000004i−4i00000000000002-22-22i−2i2i−2i00000000000000000000
χ464-44-44-44-4000000004i−4i0000000000000-22-22−2i2i−2i2i00000000000000000000
χ474-44-44-44-400000000−4i4i00000000000002-22-2−2i2i−2i2i00000000000000000000
χ484-44-44-44-400000000−4i4i0000000000000-22-222i−2i2i−2i00000000000000000000
χ494-44-4-44-44004-4-400400000000000000022−22−2222000000000000000000000000
χ504-44-4-44-44004-4-4004000000000000000−222222−22000000000000000000000000
χ514-44-4-44-4400-44400-400000000000000000002i2−2i2−2i22i200000000000000000000
χ524-44-4-44-4400-44400-40000000000000000000−2i22i22i2−2i200000000000000000000
χ534-4-444-4-444-4-4-444-4400-44000000000000000000000000000000000000000
χ544-4-444-4-44-44-4-44-444004-4000000000000000000000000000000000000000
χ554-4-44-444-444000-4-4000000004i−4i0000000000000000000000000000000000
χ564-4-44-444-444000-4-400000000−4i4i0000000000000000000000000000000000
χ574-4-44-444-4-4-4000440000004-4000000000000000000000000000000000000
χ584-4-44-444-4-4-400044000000-44000000000000000000000000000000000000
χ5988-8-888-8-8000000000000000000000000000000000000000000000000000

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