Finite Group Databasebeta

← Group #238634

Character table — Group #238634

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222444422444444444488888888222444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1
χ311111111111111111111111111111111-1-11-1-1111111-1-1-1-11-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1111111111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-11111-1-1-1-1
χ911111111-1-1-1-1-1-111-1-11-1-11111111-1-1-1-11-11111-111-1-1-1-11-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-111-1-11-1-11111111-1-1-1-11-1-1-1-1-11-1-111111-1111-1-1-1-111
χ1111111111-1-1-1-1-1-111-1-11-1-11111111-1-1-1-1-111-1-11-111-1-111-11-1-1-111-1-111
χ1211111111-1-1-1-1-1-111-1-11-1-11111111-1-1-1-1-11-111-11-1-111-1-1-111-1-11111-1-1
χ1311111111-1-1-1-1-1-111-1-11-1-1111-1-1-1-111111-11111-1-1-111-1-11-1-1-1-111-1-111
χ1411111111-1-1-1-1-1-111-1-11-1-1111-1-1-1-111111-1-1-1-1-1111-1-1111-11-1-11111-1-1
χ1511111111-1-1-1-1-1-111-1-11-1-1111-1-1-1-11111-111-1-11-1-1-11111-11-111-1-111-1-1
χ1611111111-1-1-1-1-1-111-1-11-1-1111-1-1-1-11111-11-111-1111-1-1-1-1-11111-1-1-1-111
χ17222222222222222-2-2-2-2-2-22-2-2000000000002-20000002-200000000000
χ18222222222222222-2-2-2-2-2-22-2-200000000000-22000000-2200000000000
χ19222222222222-2-2-22-2-2-222-22-20000000000200-2200000000-200000000
χ20222222222222-2-2-22-2-2-222-22-20000000000-2002-200000000200000000
χ21222222222222-2-2-2-2222-2-2-2-22000000002-200000000000-22000000000
χ22222222222222-2-2-2-2222-2-2-2-2200000000-22000000000002-2000000000
χ2322222222-2-2-2-222-2222-2-2-2-22-20000000000200-2-200000000200000000
χ2422222222-2-2-2-222-2222-2-2-2-22-20000000000-2002200000000-200000000
χ2522222222-2-2-2-222-2-2-2-2222-2-22000000002200000000000-2-2000000000
χ2622222222-2-2-2-222-2-2-2-2222-2-2200000000-2-20000000000022000000000
χ2722222222-2-2-2-2-2-22-222-2222-2-2000000000002-2000000-2200000000000
χ2822222222-2-2-2-2-2-22-222-2222-2-200000000000-220000002-200000000000
χ292-2-222-2-2222-2-22-2222-2-22-2-2-222i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ302-2-222-2-2222-2-22-2222-2-22-2-2-22−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ312-2-222-2-2222-2-22-22-2-222-22-22-200000000000000000000000000002i−2i2i−2i
χ322-2-222-2-2222-2-22-22-2-222-22-22-20000000000000000000000000000−2i2i−2i2i
χ332-2-222-2-2222-2-2-22-22-2222-22-2-20000000000000002i−2i2i−2i0000000000000
χ342-2-222-2-2222-2-2-22-22-2222-22-2-2000000000000000−2i2i−2i2i0000000000000
χ352-2-222-2-2222-2-2-22-2-22-2-2-222220000000000000000000000002-22-20000
χ362-2-222-2-2222-2-2-22-2-22-2-2-22222000000000000000000000000-22-220000
χ372-2-222-2-22-2-2222-2-222-22-222-2-20000000000000002i−2i−2i2i0000000000000
χ382-2-222-2-22-2-2222-2-222-22-222-2-2000000000000000−2i2i2i−2i0000000000000
χ392-2-222-2-22-2-2222-2-2-2-22-22-22220000000000000000000000002-2-220000
χ402-2-222-2-22-2-2222-2-2-2-22-22-2222000000000000000000000000-222-20000
χ412-2-222-2-22-2-222-2222-22-2-22-2-222i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ422-2-222-2-22-2-222-2222-22-2-22-2-22−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ432-2-222-2-22-2-222-222-22-222-2-22-200000000000000000000000000002i−2i−2i2i
χ442-2-222-2-22-2-222-222-22-222-2-22-20000000000000000000000000000−2i2i2i−2i
χ4544-44-44-4-44i−4i4i−4i0000000000002-22-22i−2i2i−2i000000000000000000000000
χ4644-44-44-4-44i−4i4i−4i000000000000-22-22−2i2i−2i2i000000000000000000000000
χ4744-44-44-4-4−4i4i−4i4i0000000000002-22-2−2i2i−2i2i000000000000000000000000
χ4844-44-44-4-4−4i4i−4i4i000000000000-22-222i−2i2i−2i000000000000000000000000
χ494-444-4-44-44i−4i−4i4i0000000000002i−2i−2i2i-222-2000000000000000000000000
χ504-444-4-44-44i−4i−4i4i000000000000−2i2i2i−2i2-2-22000000000000000000000000
χ514-444-4-44-4−4i4i4i−4i0000000000002i−2i−2i2i2-2-22000000000000000000000000
χ524-444-4-44-4−4i4i4i−4i000000000000−2i2i2i−2i-222-2000000000000000000000000
χ53888-88-8-8-8000000000000000000000000000000000000000000000000
χ5488-8-8-8-888000000000000000000000000000000000000000000000000
χ558-88-8-88-88000000000000000000000000000000000000000000000000
χ568-8-8-8888-8000000000000000000000000000000000000000000000000

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