Finite Group Databasebeta

← Group #268621

Character table — Group #268621

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111111112222222244448888888888888888888888816161616161616161616161616163232
order12222222444444444444244444444444444888888882244448888888824
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11111-1-1-1-1-1-111111111-1-11-11-11111-1-1-1-1-1-1
χ411111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1111111
χ5111111111111111111111-1-11111-1-111-1-1-1-111111111-1-1-11-11-1-1-1-11111-1-1
χ6111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-111
χ7111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1
χ91111111111111111-1-111-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-11-1
χ101111111111111111-1-111-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-11
χ111111111111111111-1-111-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1111-1-1-1-111-11
χ121111111111111111-1-111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-11-1-11111-1-11-1
χ131111111111111111-1-111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-111-1-1-11111-1-1-11
χ141111111111111111-1-111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-111-111-1-1-1-1111-1
χ151111111111111111-1-111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1111-1
χ161111111111111111-1-111-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-22-222-2-2-200222-20022000000000000000-20-20000000000
χ1822222222222-2-2-22-222-2-2-200-2-22-200-2-20000000000000002020000000000
χ1922222222222-2-2-22-2-2-2-2-220022-2200-2-2000000000000000-2020000000000
χ2022222222222-2-2-22-2-2-2-2-2200-2-2-22002200000000000000020-20000000000
χ2122222222-2-2-2222-2222-2-2-22200-22220000000000000000-20-200000000000
χ2222222222-2-2-2222-2222-2-2-2-2-200-22-2-2000000000000000020200000000000
χ2322222222-2-2-2222-22-2-2-2-2222002-2-2-20000000000000000-20200000000000
χ2422222222-2-2-2222-22-2-2-2-22-2-2002-222000000000000000020-200000000000
χ2522222222-2-2-2-2-2-2-2-2222220000-2-2000022-2-2000000002-200000000000000
χ2622222222-2-2-2-2-2-2-2-2222220000-2-20000-2-22200000000-2200000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2000022000022-2-200000000-2200000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-20000220000-2-222000000002-200000000000000
χ292-2-2-222-2222-222-2-2-2002-2000000000002-22-2000000000000002i−2i002i−2i0000
χ302-2-2-222-2222-222-2-2-2002-2000000000002-22-200000000000000−2i2i00−2i2i0000
χ312-2-2-222-2222-222-2-2-2002-200000000000-22-22000000000000002i−2i00−2i2i0000
χ322-2-2-222-2222-222-2-2-2002-200000000000-22-2200000000000000−2i2i002i−2i0000
χ332-2-2-222-22-2-22-2-2222002-2000000000002-2-2200000000000000002-2002-200
χ342-2-2-222-22-2-22-2-2222002-2000000000002-2-220000000000000000-2200-2200
χ352-2-2-222-22-2-22-2-2222002-200000000000-222-200000000000000002-200-2200
χ362-2-2-222-22-2-22-2-2222002-200000000000-222-20000000000000000-22002-200
χ37444-44-4-4-40004-440-4000000000000000000000002222−22−220000000000000000
χ38444-44-4-4-40004-440-400000000000000000000000−22−2222220000000000000000
χ39444-44-4-4-4000-44-40400000000000000000002i22i2−2i2−2i200000000000000000000
χ40444-44-4-4-4000-44-4040000000000000000000−2i2−2i22i22i200000000000000000000
χ4144-44-44-4-44-44000-400000000000000000000000022−2222−220000000000000000
χ4244-44-44-4-44-44000-4000000000000000000000000−2222−22220000000000000000
χ4344-44-44-4-4-44-40004000000000000000000002i2−2i22i2−2i200000000000000000000
χ4444-44-44-4-4-44-4000400000000000000000000−2i22i2−2i22i200000000000000000000
χ4544-4-4-4-444000000004-4000000000000000002-2-222-2-220000000000000000
χ4644-4-4-4-444000000004-400000000000000000-222-2-222-20000000000000000
χ4744-4-4-4-44400000000-44000000000000000002-2-22-222-20000000000000000
χ4844-4-4-4-44400000000-4400000000000000000-222-22-2-220000000000000000
χ494-44-4-444-44-4-40004000000000000004-40000000000000000000000000000
χ504-44-4-444-44-4-4000400000000000000-440000000000000000000000000000
χ514-44-4-444-4-444000-4000000004i−4i0000000000000000000000000000000000
χ524-44-4-444-4-444000-400000000−4i4i0000000000000000000000000000000000
χ534-4-444-44-40004-4-404000000000004-4000000000000000000000000000000
χ544-4-444-44-40004-4-40400000000000-44000000000000000000000000000000
χ554-4-444-44-4000-4440-4000004i−4i000000000000000000000000000000000000
χ564-4-444-44-4000-4440-400000−4i4i000000000000000000000000000000000000
χ574-4-4-444-4444-4-4-44-4400-44000000000000000000000000000000000000000
χ584-4-4-444-44-4-4444-44-400-44000000000000000000000000000000000000000
χ598-888-8-8-88000000000000000000000000000000000000000000000000000

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