Finite Group Databasebeta

← Group #291139

Character table — Group #291139

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111111112222222244448888888888888888888888816161616161616161616161616163232
order12222222444444444444222444444444444888888884444448888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-11-1-111111111-1-11-1-111111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111
χ5111111111111111111111-1-11-1-11111-1-11-1-111111111-1-1-111-1-1-1-1-1-1-1-1-111
χ6111111111111111111111-1-11-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1
χ7111111111111111111111-1-11-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1
χ8111111111111111111111-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ91111111111111111-1-111-111-1-1-1111111-1-1-11111-1-1-1-11-1-1-1-1111-1-111-1-11-1
χ101111111111111111-1-111-111-1-1-1111111-1-1-1-1-1-1-111111-1-1-1-11-1-111-1-111-11
χ111111111111111111-1-111-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-111111-1-1-1-111-11
χ121111111111111111-1-111-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1111-1-11111-1-11-1
χ131111111111111111-1-111-1-1-1-1111111-1-1-1111111-1-1-1-1-111-1-1-1-1-111-1-1111-1
χ141111111111111111-1-111-1-1-1-1111111-1-1-111-1-1-1-11111-111-1-1-111-1-111-1-1-11
χ151111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-11111-1-1-1-11-1111-1-1-11111-1-1-11
χ161111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-111111-1111-111-1-1-1-1111-1
χ1722222222222-2-2-22-222-2-2-222-2220000002000000000000-200-20000000000
χ1822222222222-2-2-22-222-2-2-2-2-2-2-2-2000000200000000000020020000000000
χ1922222222222-2-2-22-2-2-2-2-22222-2-2000000-2000000000000200-20000000000
χ2022222222222-2-2-22-2-2-2-2-22-2-2222000000-2000000000000-20020000000000
χ2122222222-2-2-2222-2222-2-2-200200000022-22200000000-2-200000000000000
χ2222222222-2-2-2222-2222-2-2-2002000000-2-2-2-2-2000000002200000000000000
χ2322222222-2-2-2222-22-2-2-2-2200-2000000222-2-200000000-2200000000000000
χ2422222222-2-2-2222-22-2-2-2-2200-2000000-2-2222000000002-200000000000000
χ2522222222-2-2-2-2-2-2-2-22222200-20022-2-200-200000000000002-200000000000
χ2622222222-2-2-2-2-2-2-2-22222200-200-2-22200-20000000000000-2200000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-20020022-2-20020000000000000-2200000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-200200-2-22200200000000000002-200000000000
χ2922-2-22-2-2222-22-2-2-22002-20000002i−2i2i−2i00000000000000000002-2002i−2i0000
χ3022-2-22-2-2222-22-2-2-22002-20000002i−2i2i−2i0000000000000000000-2200−2i2i0000
χ3122-2-22-2-2222-22-2-2-22002-2000000−2i2i−2i2i00000000000000000002-200−2i2i0000
χ3222-2-22-2-2222-22-2-2-22002-2000000−2i2i−2i2i0000000000000000000-22002i−2i0000
χ3322-2-22-2-22-2-22-2222-2002-20000002i−2i−2i2i0000000000000000000002i−2i002-200
χ3422-2-22-2-22-2-22-2222-2002-20000002i−2i−2i2i000000000000000000000−2i2i00-2200
χ3522-2-22-2-22-2-22-2222-2002-2000000−2i2i2i−2i0000000000000000000002i−2i00-2200
χ3622-2-22-2-22-2-22-2222-2002-2000000−2i2i2i−2i000000000000000000000−2i2i002-200
χ37444-4-44-4-44-44000-40000000000000000000000002222−22−220000000000000000
χ38444-4-44-4-44-44000-4000000000000000000000000−22−2222220000000000000000
χ39444-4-44-4-4-44-40004000000000000000000002i22i2−2i2−2i200000000000000000000
χ40444-4-44-4-4-44-4000400000000000000000000−2i2−2i22i22i200000000000000000000
χ4144-44-4-44-44-4-400040000000004i−4i000000000000000000000000000000000
χ4244-44-4-44-44-4-40004000000000−4i4i000000000000000000000000000000000
χ4344-44-4-44-4-444000-40000004-4000000000000000000000000000000000000
χ4444-44-4-44-4-444000-4000000-44000000000000000000000000000000000000
χ4544-4-44-4-4444-4-444-4-400-44000000000000000000000000000000000000000
χ4644-4-44-4-44-4-444-4-44400-44000000000000000000000000000000000000000
χ474-4444-4-4-4000000004-4000000000000000002-22-22-22-20000000000000000
χ484-4444-4-4-4000000004-400000000000000000-22-22-22-220000000000000000
χ494-4444-4-4-400000000-44000000000000000002-22-2-22-220000000000000000
χ504-4444-4-4-400000000-4400000000000000000-22-222-22-20000000000000000
χ514-44-4-4-44400044-40-400000000000000000002i2−2i2−2i22i200000000000000000000
χ524-44-4-4-44400044-40-40000000000000000000−2i22i22i2−2i200000000000000000000
χ534-44-4-4-444000-4-44040000000000000000000000022−22−22220000000000000000
χ544-44-4-4-444000-4-440400000000000000000000000−222222−220000000000000000
χ554-4-44-44-440004-440-4000000000000004i−4i000000000000000000000000000
χ564-4-44-44-440004-440-400000000000000−4i4i000000000000000000000000000
χ574-4-44-44-44000-44-404000000000000000004-4000000000000000000000000
χ584-4-44-44-44000-44-40400000000000000000-44000000000000000000000000
χ598-8-8-8888-8000000000000000000000000000000000000000000000000000

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