Finite Group Databasebeta

← Group #346879

Character table — Group #346879

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122224444444448888888888888888888888888816161616161616161616323232
order12222244444444444222222224444444444444444444488888888488
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-11-1-1
χ4111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-111
χ51111111111-1-11111111-1-111-1-11-1-11111-1-1-1-1-1-1-111-1-111-1-1-1-111111-1-1
χ61111111111-1-11111111-1-111-1-11-1-11111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111
χ71111111111-1-11111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1111
χ81111111111-1-11111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-111-1-111111111-1-1-1
χ911111111-1-11111111-1-111111-1-1-1-111-1-111-1-11-1-1-1-11-111-1-11111-1-1-11-1
χ1011111111-1-11111111-1-111111-1-1-1-111-1-111-1-11-1-1-1-11-1-1-111-1-1-1-1111-11
χ1111111111-1-11111111-1-111-1-1-11-1-1-1-1-111-1-1111-1-111-1111-1-111-1-111-1-11
χ1211111111-1-11111111-1-111-1-1-11-1-1-1-1-111-1-1111-1-111-11-1-111-1-111-1-111-1
χ1311111111-1-1-1-111111-1-1-1-111-11-11111-1-1-1-111-111-1-1-111111-1-111-1-1-1-11
χ1411111111-1-1-1-111111-1-1-1-111-11-11111-1-1-1-111-111-1-1-11-1-1-1-111-1-11111-1
χ1511111111-1-1-1-111111-1-1-1-1-1-11-1-111-1-11111-1-1-111111-11111-1-1-1-111-11-1
χ1611111111-1-1-1-111111-1-1-1-1-1-11-1-111-1-11111-1-1-111111-1-1-1-1-11111-1-11-11
χ172222222222222-2-2-2-22-2-2-20000-222000000002-2-200000000000000000
χ182222222222-2-22-2-2-2-22-2220000-2-2-200000000-22200000000000000000
χ1922222222-2-2222-2-2-2-2-22-2-200002-2-20000000022200000000000000000
χ2022222222-2-2-2-22-2-2-2-2-2222000022200000000-2-2-200000000000000000
χ21222222-2-22200-222-2-2-2-2002-2002002-22-200000002-2000000000000000
χ22222222-2-22200-222-2-2-2-200-2200200-22-220000000-22000000000000000
χ23222222-2-22200-2-2-222-2200002-2-20000002-22-200000-220000000000000
χ24222222-2-22200-2-2-222-220000-22-2000000-22-22000002-20000000000000
χ25222222-2-2-2-200-222-2-222002-200-2002-2-220000000-22000000000000000
χ26222222-2-2-2-200-222-2-22200-2200-200-222-200000002-2000000000000000
χ27222222-2-2-2-200-2-2-2222-200002220000002-2-2200000-2-20000000000000
χ28222222-2-2-2-200-2-2-2222-20000-2-22000000-222-200000220000000000000
χ292222-2-2220022-22-22-2002-2000200000-2-2002-2-200220-20000000000000
χ302222-2-2220022-22-22-2002-2000-2000002200-22-200-2-2020000000000000
χ312222-2-2220022-2-22-2200-2222-20000-2-2002-200-20000200000000000000
χ322222-2-2220022-2-22-2200-22-2-2200002200-2200-20000-200000000000000
χ332222-2-22200-2-2-22-22-200-2200020000022002-2200-2-20-20000000000000
χ342222-2-22200-2-2-22-22-200-22000-200000-2-200-2220022020000000000000
χ352222-2-22200-2-2-2-22-22002-22220000-2-200-220020000-200000000000000
χ362222-2-22200-2-2-2-22-22002-2-2-2-2000022002-20020000200000000000000
χ372222-2-2-2-2000022-2-220000002002-2002-2-2-20002-2-22200000000000000
χ382222-2-2-2-2000022-2-22000000200-2200-22-2-2000-222-2200000000000000
χ392222-2-2-2-2000022-2-22000000-2002-200-22220002-22-2-200000000000000
χ402222-2-2-2-2000022-2-22000000-200-22002-222000-22-22-200000000000000
χ412222-2-2-2-200002-222-200002-2020-22-220000-2-202-200020000000000000
χ422222-2-2-2-200002-222-200002-20-202-2-220000220-22000-20000000000000
χ432222-2-2-2-200002-222-20000-220202-22-20000-2-20-2200020000000000000
χ442222-2-2-2-200002-222-20000-220-20-222-200002202-2000-20000000000000
χ4544-4-400-44004i−4i00000000000000000000000000000002i−2i002-20000000
χ4644-4-400-44004i−4i0000000000000000000000000000000−2i2i00-220000000
χ4744-4-400-4400−4i4i00000000000000000000000000000002i−2i00-220000000
χ4844-4-400-4400−4i4i0000000000000000000000000000000−2i2i002-20000000
χ494-44-4-44004i−4i0000000000000000000000000000000000000002-22i−2i000
χ504-44-4-44004i−4i000000000000000000000000000000000000000-22−2i2i000
χ514-44-4-4400−4i4i0000000000000000000000000000000000000002-2−2i2i000
χ524-44-4-4400−4i4i000000000000000000000000000000000000000-222i−2i000
χ5388-8-8008-8000000000000000000000000000000000000000000000000
χ548-88-88-800000000000000000000000000000000000000000000000000
χ558-8-880000000000000000000000000000000000000000022−22000000000
χ568-8-8800000000000000000000000000000000000000000−2222000000000

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