Finite Group Databasebeta

← Group #346869

Character table — Group #346869

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122224444444448888888888888888888888888816161616161616161616323232
order12222244444444444222222222244444444444444444488888888488
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1111-1-1111111-1-1-1-11-1-1
χ4111111111111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-111
χ51111111111-1-111111-1-1-1-11111-1-1-1-1-1-111111-1-111-1-1-111-1-1-1-111111-1-1
χ61111111111-1-111111-1-1-1-11111-1-1-1-1-1-111111-1-111-1-1-1-1-11111-1-1-1-1-111
χ71111111111-1-111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-11111-11111-1-1-1-1-1-1-1-1111
χ81111111111-1-111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-11111-111-1-111111111-1-1-1
χ911111111-1-1111111111-1-111-1-11-1-1-11-1-111-1-11-1-1-111-111-1-11111-1-1-11-1
χ1011111111-1-1111111111-1-111-1-11-1-1-11-1-111-1-11-1-1-111-1-1-111-1-1-1-1111-11
χ1111111111-1-1111111111-1-1-1-111-11-1-1-11-1-1-111-11-1-11-1111-1-111-1-111-1-11
χ1211111111-1-1111111111-1-1-1-111-11-1-1-11-1-1-111-11-1-11-11-1-111-1-111-1-111-1
χ1311111111-1-1-1-111111-1-11111-1-1-1111-11-111-1-1-11-1-1-1-111111-1-111-1-1-1-11
χ1411111111-1-1-1-111111-1-11111-1-1-1111-11-111-1-1-11-1-1-1-11-1-1-1-111-1-11111-1
χ1511111111-1-1-1-111111-1-111-1-1111-1111-1-1-1-1111-1-1-1-11-11111-1-1-1-111-11-1
χ1611111111-1-1-1-111111-1-111-1-1111-1111-1-1-1-1111-1-1-1-11-1-1-1-1-11111-1-11-11
χ172222222222222-2-2-2-2-2-2-2-20000002200-20000002-22000000000000000
χ182222222222-2-22-2-2-2-22222000000-2-200-20000002-2-2000000000000000
χ1922222222-2-2222-2-2-2-2-2-222000000-2-2002000000-222000000000000000
χ2022222222-2-2-2-22-2-2-2-222-2-200000022002000000-22-2000000000000000
χ21222222-2-22200-222-2-200002-22-200000022-22-200-2-20000000000000000
χ22222222-2-22200-222-2-20000-22-220000002-22-2200-2-20000000000000000
χ23222222-2-22200-2-2-222000000002200-2-2-2000022-220-2-20000000000000
χ24222222-2-22200-2-2-22200000000-2-20022-20000-2-2-220220000000000000
χ25222222-2-2-2-200-222-2-200002-2-22000000-22-2-2200220000000000000000
χ26222222-2-2-2-200-222-2-20000-222-2000000-2-222-200220000000000000000
χ27222222-2-2-2-200-2-2-222000000002-200-22200002-22-20-220000000000000
χ28222222-2-2-2-200-2-2-22200000000-22002-220000-222-202-20000000000000
χ292222-2-2220022-22-22-22-20000220-2000-2000-2-20200-2020000000000000
χ302222-2-2220022-22-22-22-20000-2-2020002000220-200-20-20000000000000
χ312222-2-2220022-2-22-22-22002200-2000-200-2-2002000-2200000000000000
χ322222-2-2220022-2-22-22-2200-2-20020002002200-2000-2-200000000000000
χ332222-2-22200-2-2-22-22-2-22000022020002000-2-20-20020-20000000000000
χ342222-2-22200-2-2-22-22-2-220000-2-20-2000-20002202002020000000000000
χ352222-2-22200-2-2-2-22-222-20022002000200-2-200-20002-200000000000000
χ362222-2-22200-2-2-2-22-222-200-2-200-2000-200220020002200000000000000
χ372222-2-2-2-2000022-2-22002-2002-2202-2-20000-22-20000200000000000000
χ382222-2-2-2-2000022-2-22002-200-22-202-2200002-220000-200000000000000
χ392222-2-2-2-2000022-2-2200-22002-2-20-2220000-2220000-200000000000000
χ402222-2-2-2-2000022-2-2200-2200-2220-22-200002-2-20000200000000000000
χ412222-2-2-2-200002-222-2002-22-2000-2-22020-2200020000-20000000000000
χ422222-2-2-2-200002-222-2002-2-220002-220-202-2000-2000020000000000000
χ432222-2-2-2-200002-222-200-222-200022-20-20-22000-2000020000000000000
χ442222-2-2-2-200002-222-200-22-22000-22-20202-200020000-20000000000000
χ4544-4-400-44004i−4i00000000000000000000000000000002-2002i−2i0000000
χ4644-4-400-44004i−4i0000000000000000000000000000000-2200−2i2i0000000
χ4744-4-400-4400−4i4i00000000000000000000000000000002-200−2i2i0000000
χ4844-4-400-4400−4i4i0000000000000000000000000000000-22002i−2i0000000
χ494-44-44-4004-40000000000000000000000000000000000000002i−2i2i−2i000
χ504-44-44-4004-4000000000000000000000000000000000000000−2i2i−2i2i000
χ514-44-44-400-440000000000000000000000000000000000000002i−2i−2i2i000
χ524-44-44-400-44000000000000000000000000000000000000000−2i2i2i−2i000
χ5388-8-8008-8000000000000000000000000000000000000000000000000
χ548-88-8-8800000000000000000000000000000000000000000000000000
χ558-8-880000000000000000000000000000000000000000022−22000000000
χ568-8-8800000000000000000000000000000000000000000−2222000000000

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