Finite Group Databasebeta

← Group #241851

Character table — Group #241851

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222222244444444444488888888224444444444444444448888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-11-1-11-1-1-1-1-1-1-11-1-1-1-1-1-11111
χ311111111111111111111111111111111-11-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-111-1-1-1-11111-111-1-1-1-1-1-1-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11-11-1-11-1-1-1-1-1111111111-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-111-111-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111111111
χ9111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-11-1-11111-1-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1111-1-111-1-1-1-1-111-1-11111-1-1
χ11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11111-1-1-1-1-1-111111-1-1-1-111
χ12111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11111111-1-1-1-111-1-111
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-11-1-111-1-1-111-1-111-1-111
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1111-1-111-1-111-1-1-111-1-1-1-111
χ15111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11111-1-1-1-1111-1-1-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11111-1-111111-1-111-1-1
χ172222222222222222-2-2-2-2-2-2-2-20000000020-200-2000000020000000000
χ182222222222222222-2-2-2-2-2-2-2-200000000-2020020000000-20000000000
χ19222222222222-2-2-2-22222-2-2-2-20000000020-20020000000-20000000000
χ20222222222222-2-2-2-22222-2-2-2-200000000-20200-2000000020000000000
χ2122222222-2-2-2-222-2-222-2-222-2-2000000000002-200002-20000000000000
χ2222222222-2-2-2-222-2-222-2-222-2-200000000000-220000-220000000000000
χ2322222222-2-2-2-222-2-2-2-222-2-22200000000020000-22-2000000000000000
χ2422222222-2-2-2-222-2-2-2-222-2-222000000000-200002-22000000000000000
χ2522222222-2-2-2-2-2-22222-2-2-2-22200000000020000-2-22000000000000000
χ2622222222-2-2-2-2-2-22222-2-2-2-222000000000-2000022-2000000000000000
χ2722222222-2-2-2-2-2-222-2-22222-2-2000000000002-20000-220000000000000
χ2822222222-2-2-2-2-2-222-2-22222-2-200000000000-2200002-20000000000000
χ292-2222-2-2-22-22-22i−2i2i−2i2i−2i2i−2i2-22-200000000000000000000000000002-22i−2i
χ302-2222-2-2-22-22-22i−2i2i−2i2i−2i2i−2i2-22-20000000000000000000000000000-22−2i2i
χ312-2222-2-2-22-22-22i−2i2i−2i−2i2i−2i2i-22-222i2i−2i−2i22-2-2000000000000000000000000
χ322-2222-2-2-22-22-22i−2i2i−2i−2i2i−2i2i-22-22−2i−2i2i2i-2-222000000000000000000000000
χ332-2222-2-2-22-22-2−2i2i−2i2i2i−2i2i−2i-22-222i2i−2i−2i-2-222000000000000000000000000
χ342-2222-2-2-22-22-2−2i2i−2i2i2i−2i2i−2i-22-22−2i−2i2i2i22-2-2000000000000000000000000
χ352-2222-2-2-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-200000000000000000000000000002-2−2i2i
χ362-2222-2-2-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-20000000000000000000000000000-222i−2i
χ372-2222-2-2-2-22-222i−2i−2i2i2i−2i−2i2i2-2-220000000000000000000000002-22i−2i0000
χ382-2222-2-2-2-22-222i−2i−2i2i2i−2i−2i2i2-2-22000000000000000000000000-22−2i2i0000
χ392-2222-2-2-2-22-222i−2i−2i2i−2i2i2i−2i-222-200000000000000000002-202i−2i00000000
χ402-2222-2-2-2-22-222i−2i−2i2i−2i2i2i−2i-222-20000000000000000000-220−2i2i00000000
χ412-2222-2-2-2-22-22−2i2i2i−2i2i−2i−2i2i-222-200000000000000000002-20−2i2i00000000
χ422-2222-2-2-2-22-22−2i2i2i−2i2i−2i−2i2i-222-20000000000000000000-2202i−2i00000000
χ432-2222-2-2-2-22-22−2i2i2i−2i−2i2i2i−2i2-2-220000000000000000000000002-2−2i2i0000
χ442-2222-2-2-2-22-22−2i2i2i−2i−2i2i2i−2i2-2-22000000000000000000000000-222i−2i0000
χ4544-4-44-4-444-4-4400000000000000002i2−2i22i2−2i2000000000000000000000000
χ4644-4-44-4-444-4-440000000000000000−2i22i2−2i22i2000000000000000000000000
χ4744-4-44-4-44-444-40000000000002i2−2i22i2−2i20000000000000000000000000000
χ4844-4-44-4-44-444-4000000000000−2i22i2−2i22i20000000000000000000000000000
χ494-4-4-4444-444-4-400000000000000002i2−2i2−2i22i2000000000000000000000000
χ504-4-4-4444-444-4-40000000000000000−2i22i22i2−2i2000000000000000000000000
χ514-4-4-4444-4-4-44400000000000022−22−22220000000000000000000000000000
χ524-4-4-4444-4-4-444000000000000−222222−220000000000000000000000000000
χ53888-8-88-8-8000000000000000000000000000000000000000000000000
χ5488-88-8-88-8000000000000000000000000000000000000000000000000
χ558-88-8-8-888000000000000000000000000000000000000000000000000
χ568-8-88-88-88000000000000000000000000000000000000000000000000

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