Finite Group Databasebeta

← Group #469245

Character table — Group #469245

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222222244448888888888161616161616161616161616161616161616161616161616
order12222222224444444444444488888888224444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-11-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-11-1-1-111111111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-11111-1-11111-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111
χ9111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-111
χ10111111111111111111-1-1-1-1-1-11111-1-1-1-11-1-1-1111-11111-1-111-1-1-1-111-1-1
χ11111111111111111111-1-1-1-1-1-11111-1-1-1-1-11-1-111-11-1-1-1-1-1-1111111-1-111
χ12111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-1-1-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1111-1-1-1-1-111-1-1-1-1111111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-11-1-111-11111111-1-111-1-1-1-1-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-11111
χ17222222-2-2-2-22-2222-2-2-200000000002i2i−2i−2i0200000-2002i−2i000000000000
χ18222222-2-2-2-22-2222-2-2-200000000002i2i−2i−2i0-200000200−2i2i000000000000
χ19222222-2-2-2-22-2222-2-2-20000000000−2i−2i2i2i0200000-200−2i2i000000000000
χ20222222-2-2-2-22-2222-2-2-20000000000−2i−2i2i2i0-2000002002i−2i000000000000
χ21222222-2-2-2-2-22-2-2-22220000002i2i−2i−2i0000200000-202i−2i00000000000000
χ22222222-2-2-2-2-22-2-2-22220000002i2i−2i−2i0000-20000020−2i2i00000000000000
χ23222222-2-2-2-2-22-2-2-2222000000−2i−2i2i2i0000200000-20−2i2i00000000000000
χ24222222-2-2-2-2-22-2-2-2222000000−2i−2i2i2i0000-200000202i−2i00000000000000
χ252222-2-22-2-22-2-222-222-22222-2-200000000002-22-2000000000000000000
χ262222-2-22-2-22-2-222-222-22222-2-20000000000-22-22000000000000000000
χ272222-2-22-2-22-2-222-222-2-2-2-2-22200000000002-2-22000000000000000000
χ282222-2-22-2-22-2-222-222-2-2-2-2-2220000000000-222-2000000000000000000
χ292-2-222-22-22-22-22-2-22-2200000000002-22-2000000000000000000002i−2i2i−2i
χ302-2-222-22-22-22-22-2-22-2200000000002-22-200000000000000000000−2i2i−2i2i
χ312-2-222-22-22-22-22-2-22-220000000000-22-22000000000000000000002i−2i−2i2i
χ322-2-222-22-22-22-22-2-22-220000000000-22-2200000000000000000000−2i2i2i−2i
χ332-2-222-22-22-2-22-222-22-20000002-22-2000000000000000000002i−2i2i−2i0000
χ342-2-222-22-22-2-22-222-22-20000002-22-200000000000000000000−2i2i−2i2i0000
χ352-2-222-22-22-2-22-222-22-2000000-22-22000000000000000000002i−2i−2i2i0000
χ362-2-222-22-22-2-22-222-22-2000000-22-2200000000000000000000−2i2i2i−2i0000
χ372-2-222-2-22-22222-2-2-22-222-2-22-22i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ382-2-222-2-22-22222-2-2-22-222-2-22-2−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ392-2-222-2-22-22222-2-2-22-2-2-222-222i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ402-2-222-2-22-22222-2-2-22-2-2-222-22−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ412-2-22-22-2-222-2-22-22-22222-2-2-22000000000000000000002-22-200000000
χ422-2-22-22-2-222-2-22-22-22222-2-2-2200000000000000000000-22-2200000000
χ432-2-22-22-2-222-2-22-22-222-2-2222-2000000000000000000002-2-2200000000
χ442-2-22-22-2-222-2-22-22-222-2-2222-200000000000000000000-222-200000000
χ454444444444-4-4-4-4-4-4-4-400000000000000000000000000000000000000
χ464444-4-44-4-4444-4-44-4-4400000000000000000000000000000000000000
χ474444-4-4-444-44-4-4-4444-400000000000000000000000000000000000000
χ484444-4-4-444-4-4444-4-4-4400000000000000000000000000000000000000
χ494-4-444-4-44-44-4-4-4444-4400000000000000000000000000000000000000
χ504-4-44-4444-4-44-4-44-4-44400000000000000000000000000000000000000
χ514-4-44-4444-4-4-444-444-4-400000000000000000000000000000000000000
χ524-4-44-44-4-44444-44-44-4-400000000000000000000000000000000000000
χ5388-8-8000000000000004i−4i4i−4i0000000000000000000000000000000000
χ5488-8-800000000000000−4i4i−4i4i0000000000000000000000000000000000
χ558-88-8000000000000004i−4i−4i4i0000000000000000000000000000000000
χ568-88-800000000000000−4i4i4i−4i0000000000000000000000000000000000

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