Finite Group Databasebeta

← Group #293050

Character table — Group #293050

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444424444444444488888888224444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1111-1-111111111-1-11-11-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-1111-1-11111111111-1-1-11-11-1-1-1-1-1-11111-1-1
χ6111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-111
χ7111111111111111111111-1-1-1-11-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1
χ9111111111111111111-1-1-11111-111-1-11111-1-1-1-1-1-1-11-1-11111-1-111-1-11-1
χ10111111111111111111-1-1-11111-111-1-1-1-1-1-11111-1-1-11-1-111-1-111-1-111-11
χ11111111111111111111-1-1-111-1-1-111111111-1-1-1-111-1-1-11-1-111-1-1-1-111-11
χ12111111111111111111-1-1-111-1-1-11111-1-1-1-1111111-1-1-11-1-1-1-11111-1-11-1
χ13111111111111111111-1-1-1-1-111-1-1-1-1-11111-1-1-1-111111-1-1-1-1-11111-1-1-11
χ14111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-1111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11111-1-111-1-1111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1111111-1-111-1-1-11
χ172222222222-2-222-2-2-2-222-20022-2002200000000000-20-2000000000000
χ182222222222-2-222-2-2-2-222-200-2-2-200-2-200000000000202000000000000
χ192222222222-2-222-2-2-2-2-2-220022200-2-200000000000-202000000000000
χ202222222222-2-222-2-2-2-2-2-2200-2-2200220000000000020-2000000000000
χ2122222222-2-222-2-222-2-22-2-222002-2-2000000000000-2020000000000000
χ2222222222-2-222-2-222-2-22-2-2-2-20022200000000000020-20000000000000
χ2322222222-2-222-2-222-2-2-2222200-2-2-200000000000020-20000000000000
χ2422222222-2-222-2-222-2-2-222-2-200-222000000000000-2020000000000000
χ2522222222-2-2-2-2-2-2-2-2222-220000-20000000000002-200002-20000000000
χ2622222222-2-2-2-2-2-2-2-2222-220000-2000000000000-220000-220000000000
χ2722222222-2-2-2-2-2-2-2-222-22-2000020000000000002-20000-220000000000
χ2822222222-2-2-2-2-2-2-2-222-22-200002000000000000-2200002-20000000000
χ292-222-22-2-2222-2-2-22-2-220002i−2i0002i−2i00000022-2-200000000002i−2i000000
χ302-222-22-2-2222-2-2-22-2-220002i−2i0002i−2i000000-2-2220000000000−2i2i000000
χ312-222-22-2-2222-2-2-22-2-22000−2i2i000−2i2i00000022-2-20000000000−2i2i000000
χ322-222-22-2-2222-2-2-22-2-22000−2i2i000−2i2i000000-2-22200000000002i−2i000000
χ332-222-22-2-2-2-22-2222-22-20002i−2i000−2i2i002i2i−2i−2i0000000000002-200000000
χ342-222-22-2-2-2-22-2222-22-20002i−2i000−2i2i00−2i−2i2i2i000000000000-2200000000
χ352-222-22-2-2-2-22-2222-22-2000−2i2i0002i−2i002i2i−2i−2i000000000000-2200000000
χ362-222-22-2-2-2-22-2222-22-2000−2i2i0002i−2i00−2i−2i2i2i0000000000002-200000000
χ37444-4-4-4-444-4004-4000000000000004i−4i00000000000000000000000000
χ38444-4-4-4-444-4004-400000000000000−4i4i00000000000000000000000000
χ39444-4-4-4-44-4400-440000000004i−4i0000000000000000000000000000000
χ40444-4-4-4-44-4400-44000000000−4i4i0000000000000000000000000000000
χ4144-4-444-4-4004400-4-400000000000000000022−2222−22000000000000000000
χ4244-4-444-4-4004400-4-4000000000000000000−2222−2222000000000000000000
χ4344-4-444-4-400-4-40044000000000000002i2−2i22i2−2i20000000000000000000000
χ4444-4-444-4-400-4-4004400000000000000−2i22i2−2i22i20000000000000000000000
χ454-444-44-4-444-44-4-4-444-400000000000000000000000000000000000000
χ464-444-44-4-4-4-4-4444-44-4400000000000000000000000000000000000000
χ474-44-44-44-44-400-440000000000000000000000000000000000002i2−2i20000
χ484-44-44-44-44-400-44000000000000000000000000000000000000−2i22i20000
χ494-44-44-44-4-44004-4000000000000000000000000000000000000002i2−2i200
χ504-44-44-44-4-44004-400000000000000000000000000000000000000−2i22i200
χ514-4-4-4-4444004-400-4400000000000000000022−22−2222000000000000000000
χ524-4-4-4-4444004-400-44000000000000000000−222222−22000000000000000000
χ534-4-4-4-444400-44004-40000000000000022−22−22220000000000000000000000
χ544-4-4-4-444400-44004-400000000000000−222222−220000000000000000000000
χ5588-88-8-88-8000000000000000000000000000000000000000000000000
χ568-8-888-8-88000000000000000000000000000000000000000000000000

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