Finite Group Databasebeta

← Group #348519

Character table — Group #348519

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222444444444444444888888888888888888888816161616323232323232
order12222244444422444444444888824444444888888888888884444248888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-11111-1-1-1-111
χ4111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1
χ511111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ611111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ711111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1-11-111-1
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1111-11-1-11
χ9111111111111-1-111-1-1-1-11-1-11111111-1-1-1-111-1-1111-1-111-1-1-1-11111-1-111-1-1
χ10111111111111-1-111-1-1-1-11-1-11111111-1-1-1-111-1-1111-1-111-1-1-1-1-1-1-1-111-1-111
χ11111111111111-1-111-1-1-1-11-1-11111-1-1-11111-11-1-1-1-11-1-1-1-11111111111-1-1-1-1
χ12111111111111-1-111-1-1-1-11-1-11111-1-1-11111-11-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111
χ13111111111111-1-111-1-1-1-11-1-1-1-1-1-1111-1-1-1-11-111-1-1-111-1-1111111-1-1-111-1-11
χ14111111111111-1-111-1-1-1-11-1-1-1-1-1-1111-1-1-1-11-111-1-1-111-1-11111-1-1111-1-111-1
χ15111111111111-1-111-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-11111-11111-1-1-1-111-1-11-1-11-11
χ16111111111111-1-111-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-11111-11111-1-1-1-1-1-111-111-11-1
χ17222222222-22-222-2-222-2-2-2-2-2000022-222-2-2-2000000000000000000000000
χ18222222222-22-222-2-222-2-2-2-2-20000-2-22-2-2222000000000000000000000000
χ19222222222-22-2-2-2-2-2-2-222-222000022-2-2-222-2000000000000000000000000
χ20222222222-22-2-2-2-2-2-2-222-2220000-2-2222-2-22000000000000000000000000
χ21222222-2-2-22-2200-2-2000020022-2-20002-22-2020000-2000022-2-20000000000
χ22222222-2-2-22-2200-2-2000020022-2-2000-22-22020000-20000-2-2220000000000
χ23222222-2-2-22-2200-2-20000200-2-2220002-22-20-2000020000-2-2220000000000
χ24222222-2-2-22-2200-2-20000200-2-222000-22-220-200002000022-2-20000000000
χ25222222-2-2-2-2-2-200220000-20000000002-2-22002i−2i2i−2i02i−2i2i−2i00000000000000
χ26222222-2-2-2-2-2-200220000-20000000002-2-2200−2i2i−2i2i0−2i2i−2i2i00000000000000
χ27222222-2-2-2-2-2-200220000-2000000000-222-2002i−2i−2i2i02i−2i−2i2i00000000000000
χ28222222-2-2-2-2-2-200220000-2000000000-222-200−2i2i2i−2i0−2i2i2i−2i00000000000000
χ292222-2-22-2-2222002-20000-20022222-2-200002-20022-200-2-200000000000000
χ302222-2-22-2-2222002-20000-2002222-2220000-2-200-2-2-2002200000000000000
χ312222-2-22-2-2222002-20000-200-2-2-2-22-2-200002200-2-22002200000000000000
χ322222-2-22-2-2222002-20000-200-2-2-2-2-2220000-220022200-2-200000000000000
χ332222-2-22-2-2-22-200-22000020000002-220000-202i−2i000−2i2i002i−2i2i−2i0000000000
χ342222-2-22-2-2-22-200-22000020000002-220000-20−2i2i0002i−2i00−2i2i−2i2i0000000000
χ352222-2-22-2-2-22-200-2200002000000-22-20000202i−2i000−2i2i00−2i2i−2i2i0000000000
χ362222-2-22-2-2-22-200-2200002000000-22-2000020−2i2i0002i−2i002i−2i2i−2i0000000000
χ372222-2-2-2222-2222-22-2-2-2-2-22222-2-200000000-222002-2-20000000000000000
χ382222-2-2-2222-2222-22-2-2-2-2-222-2-222000000002-2-200-2220000000000000000
χ392222-2-2-2222-22-2-2-222222-2-2-222-2-200000000-2-2-2002220000000000000000
χ402222-2-2-2222-22-2-2-222222-2-2-2-2-2220000000022200-2-2-20000000000000000
χ412222-2-2-222-2-2-2222-2-2-2222-2-20000000000000002i−2i000−2i2i2i−2i−2i2i0000000000
χ422222-2-2-222-2-2-2222-2-2-2222-2-2000000000000000−2i2i0002i−2i−2i2i2i−2i0000000000
χ432222-2-2-222-2-2-2-2-22-222-2-22220000000000000002i−2i000−2i2i−2i2i2i−2i0000000000
χ442222-2-2-222-2-2-2-2-22-222-2-2222000000000000000−2i2i0002i−2i2i−2i−2i2i0000000000
χ4544-4-44-444-40-404-4004-400000000000000000000000000000000000000000
χ4644-4-44-444-40-40-4400-4400000000000000000000000000000000000000000
χ4744-4-44-4-4-440400000004i−4i04i−4i000000000000000000000000000000000000
χ4844-4-44-4-4-44040000000−4i4i0−4i4i000000000000000000000000000000000000
χ4944-4-4-444-440-400000004i−4i0−4i4i000000000000000000000000000000000000
χ5044-4-4-444-440-40000000−4i4i04i−4i000000000000000000000000000000000000
χ5144-4-4-44-44-40404-400-4400000000000000000000000000000000000000000
χ5244-4-4-44-44-4040-44004-400000000000000000000000000000000000000000
χ534-4-440000040-4000000000004-40000000000000000000000002i−2i2i−2i000000
χ544-4-440000040-4000000000004-4000000000000000000000000−2i2i−2i2i000000
χ554-4-440000040-400000000000-440000000000000000000000002i−2i−2i2i000000
χ564-4-440000040-400000000000-44000000000000000000000000−2i2i2i−2i000000
χ578-88-80000000000000000000004i2−4i200000000000000000000000000000000
χ588-88-8000000000000000000000−4i24i200000000000000000000000000000000
χ598-8-8800000-80800000000000000000000000000000000000000000000000

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