Finite Group Databasebeta

← Group #291352

Character table — Group #291352

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222222222444444244444888888882444444444444444448888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1
χ5111111111111111111111-1-11-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-11-1-111111111-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1
χ7111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-1-111-111-1-111-1-1-1-11111
χ8111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111111111
χ9111111111111-1-111-1-111-111-1111111-1-1-1-111-1-1-111-1-1-111-1-111-1-111-1-1
χ10111111111111-1-111-1-111-111-1111111-1-1-1-1-1-1-111-1-1-111-1-111-1-11111-1-1
χ11111111111111-1-111-1-111-111-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111
χ12111111111111-1-111-1-111-111-111-1-1-1-11111-1-1-11111-111-1-1-1-111-1-1-1-111
χ13111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-11-1-1-1-11111-1-1-1-111
χ14111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-1-11111111-1-1-1-111-1-111
χ15111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ16111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1111111111-1-111-1-1
χ1722222222222222-2-2-2-2-2-2222-2-2-20000000000-20000200000000000000
χ1822222222222222-2-2-2-2-2-22-2-2-222000000000020000-200000000000000
χ19222222222222-2-2-2-222-2-2-2222-2-2000000000020000-200000000000000
χ20222222222222-2-2-2-222-2-2-2-2-22220000000000-20000200000000000000
χ2122222222-2-2-2-2222-2222-2-200-200000000000002-2000002-20000000000
χ2222222222-2-2-2-2222-2222-2-200-20000000000000-2200000-220000000000
χ2322222222-2-2-2-222-22-2-2-22-200200000000002-20000002-2000000000000
χ2422222222-2-2-2-222-22-2-2-22-20020000000000-22000000-22000000000000
χ2522222222-2-2-2-2-2-22-2-2-22-2200200000000000002-200000-220000000000
χ2622222222-2-2-2-2-2-22-2-2-22-220020000000000000-22000002-20000000000
χ2722222222-2-2-2-2-2-2-2222-22200-200000000002-2000000-22000000000000
χ2822222222-2-2-2-2-2-2-2222-22200-20000000000-220000002-2000000000000
χ292-22-222-2-22-22-2002-200-2202i−2i02i−2i2i2i−2i−2i00000000000000000000002-200
χ302-22-222-2-22-22-2002-200-2202i−2i02i−2i−2i−2i2i2i0000000000000000000000-2200
χ312-22-222-2-22-22-2002-200-220−2i2i0−2i2i2i2i−2i−2i0000000000000000000000-2200
χ322-22-222-2-22-22-2002-200-220−2i2i0−2i2i−2i−2i2i2i00000000000000000000002-200
χ332-22-222-2-22-22-200-22002-202i−2i0−2i2i000022-2-2000000000000000000002i−2i
χ342-22-222-2-22-22-200-22002-202i−2i0−2i2i0000-2-22200000000000000000000−2i2i
χ352-22-222-2-22-22-200-22002-20−2i2i02i−2i000022-2-200000000000000000000−2i2i
χ362-22-222-2-22-22-200-22002-20−2i2i02i−2i0000-2-222000000000000000000002i−2i
χ374444-4-4-4-44-4-440000000000000022−2222−2200000000000000000000000000
χ384444-4-4-4-44-4-4400000000000000−2222−222200000000000000000000000000
χ394444-4-4-4-4-444-400000000000000000022−2222−220000000000000000000000
χ404444-4-4-4-4-444-4000000000000000000−2222−22220000000000000000000000
χ4144-4-44-44-4000000004-40000000000000000000002i−2i000002i−2i00000000
χ4244-4-44-44-4000000004-4000000000000000000000−2i2i00000−2i2i00000000
χ4344-4-44-44-400000000-440000000000000000000002i−2i00000−2i2i00000000
χ4444-4-44-44-400000000-44000000000000000000000−2i2i000002i−2i00000000
χ4544-4-4-44-4400004-400000000000000000000000000000000002i−2i2i−2i0000
χ4644-4-4-44-4400004-40000000000000000000000000000000000−2i2i−2i2i0000
χ4744-4-4-44-440000-4400000000000000000000000000000000002i−2i−2i2i0000
χ4844-4-4-44-440000-440000000000000000000000000000000000−2i2i2i−2i0000
χ494-44-444-4-4-44-44004400-4-4000000000000000000000000000000000000
χ504-44-444-4-4-44-4400-4-40044000000000000000000000000000000000000
χ514-44-4-4-44444-4-4000000000000002i2−2i2−2i22i200000000000000000000000000
χ524-44-4-4-44444-4-400000000000000−2i22i22i2−2i200000000000000000000000000
χ534-44-4-4-444-4-44400000000000000000022−22−22220000000000000000000000
χ544-44-4-4-444-4-444000000000000000000−222222−220000000000000000000000
χ558-8-888-8-88000000000000000000000000000000000000000000000000
χ568-8-88-888-8000000000000000000000000000000000000000000000000

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