Finite Group Databasebeta

← Group #348658

Character table — Group #348658

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122444444444444888888888888888888888888816161616323232323232
order12224424444488888822224444444488888888888888888448888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-111-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-11-111-1-1-1-11-1111-1-1-1-1-1-111-1-11111-1-111-1-1
χ6111111111111111111-1-11-111-1-1-1-11-1111-1-1-1-1-1-111-1-1-1-1-1-111-1-111
χ7111111111111111111-1-1-11-1-111-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111
χ8111111111111111111-1-1-11-1-111-1-1-111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1
χ9111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ10111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ11111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-11111-1-1-1-1111111-1-11-1-11-11
χ12111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-11111-1-1-1-11111-1-111-111-11-1
χ13111111111111-1-1-1-1-1-1-1-11-111-1-1-1-11-1-1-1-1111111-1-11111-1-1-111-1-11
χ14111111111111-1-1-1-1-1-1-1-11-111-1-1-1-11-1-1-1-1111111-1-111-1-1111-1-111-1
χ15111111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-11-111-1-1111111-1-111-1-1-11-111-1
χ16111111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-11-111-1-1111111-1-1-1-1111-11-1-11
χ172222222-2-2-2-2222-2-2-2-22-20000002-2002000022-2-200000000000000
χ182222222-2-2-2-2222-2-2-2-2-22000000-220020000-2-22200000000000000
χ192222222-2-2-2-22-2-222222-20000002-200-20000-2-22200000000000000
χ202222222-2-2-2-22-2-22222-22000000-2200-2000022-2-200000000000000
χ21222222-22-22-2-22222-2-2000200-2-20002-20022000000-2-20000000000
χ22222222-22-22-2-22222-2-2000-20022000-2-200-2-2000000220000000000
χ23222222-22-22-2-2-2-2-2-222000200-2-20002200-2-2000000220000000000
χ24222222-22-22-2-2-2-2-2-222000-20022000-220022000000-2-20000000000
χ25222222-2-22-22-222-2-2220020-2-2000020-2-2-200000022000000000000
χ26222222-2-22-22-222-2-22200-20220000-20-222000000-2-2000000000000
χ27222222-2-22-22-2-2-222-2-20020-2-2000020222000000-2-2000000000000
χ28222222-2-22-22-2-2-222-2-200-20220000-202-2-200000022000000000000
χ292222-2-222-2-22-200000000202-20000-200002i−2i2i−2i2i−2i002i−2i0000000000
χ302222-2-222-2-22-200000000202-20000-20000−2i2i−2i2i−2i2i00−2i2i0000000000
χ312222-2-222-2-22-200000000-20-220000200002i−2i−2i2i−2i2i002i−2i0000000000
χ322222-2-222-2-22-200000000-20-22000020000−2i2i2i−2i2i−2i00−2i2i0000000000
χ332222-2-22-222-2-20000000002002-2000-202i−2i002i−2i−2i2i2i−2i000000000000
χ342222-2-22-222-2-20000000002002-2000-20−2i2i00−2i2i2i−2i−2i2i000000000000
χ352222-2-22-222-2-2000000000-200-22000202i−2i00−2i2i2i−2i2i−2i000000000000
χ362222-2-22-222-2-2000000000-200-2200020−2i2i002i−2i−2i2i−2i2i000000000000
χ372222-2-2-222-2-2200000022000000-2-20002i−2i2i−2i0000−2i2i−2i2i0000000000
χ382222-2-2-222-2-2200000022000000-2-2000−2i2i−2i2i00002i−2i2i−2i0000000000
χ392222-2-2-222-2-22000000-2-2000000220002i−2i−2i2i0000−2i2i2i−2i0000000000
χ402222-2-2-222-2-22000000-2-200000022000−2i2i2i−2i00002i−2i−2i2i0000000000
χ412222-2-2-2-2-22220000002-22-2-222-2-22-2200000000000000000000000
χ422222-2-2-2-2-22220000002-2-222-2-22-222-200000000000000000000000
χ432222-2-2-2-2-2222000000-2222-22-222-2-2-200000000000000000000000
χ442222-2-2-2-2-2222000000-22-2-22-22-22-22200000000000000000000000
χ454-4-44-4400000000004-400000000000000000000000002-22-2000000
χ464-4-44-4400000000004-40000000000000000000000000-22-22000000
χ474-4-44-440000000000-4400000000000000000000000002-2-22000000
χ484-4-44-440000000000-440000000000000000000000000-222-2000000
χ4988-8-80000000042−42000000000000000000000000000000000000000
χ5088-8-800000000−4242000000000000000000000000000000000000000
χ518-88-8000000000042−420000000000000000000000000000000000000
χ528-88-80000000000−42420000000000000000000000000000000000000
χ538-8-888-800000000000000000000000000000000000000000000000

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