Finite Group Databasebeta

← Group #348529

Character table — Group #348529

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222444444444444444888888888888888888888816161616323232323232
order12222244444422444444444888824444444888888888888884444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-11111-1-111-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-111-1-111
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
χ711111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1-111-1-11
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1111-1-111-1
χ9111111111111-1-11-1-1-1-111-1-11111111-1-11-1-11-1-1111-1-111-1-1-1-11111-1-1-1-111
χ10111111111111-1-11-1-1-1-111-1-11111111-1-11-1-11-1-1111-1-111-1-1-1-1-1-1-1-11111-1-1
χ11111111111111-1-11-1-1-1-111-1-11111-1-1-111-1111-1-1-1-11-1-1-1-11111111111-1-1-1-1
χ12111111111111-1-11-1-1-1-111-1-11111-1-1-111-1111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111
χ13111111111111-1-11-1-1-1-111-1-1-1-1-1-1111-1-11-1-1-111-1-1-111-1-1111111-1-1-11-111-1
χ14111111111111-1-11-1-1-1-111-1-1-1-1-1-1111-1-11-1-1-111-1-1-111-1-11111-1-1111-11-1-11
χ15111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-111-111-11111-11111-1-1-1-111-1-11-1-11-11
χ16111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-111-111-11111-11111-1-1-1-1-1-111-111-11-1
χ17222222222-22-222-2-2-222-2-2-2-200002-2222-2-2-2000000000000000000000000
χ18222222222-22-222-2-2-222-2-2-2-20000-22-2-2-2222000000000000000000000000
χ19222222222-22-2-2-2-222-2-2-2-22200002-22-2-2-222000000000000000000000000
χ20222222222-22-2-2-2-222-2-2-2-2220000-22-2222-2-2000000000000000000000000
χ21222222-2-2-22-220020000-2-20022-2-20002-202-220000-2000022-2-20000000000
χ22222222-2-2-22-220020000-2-20022-2-2000-220-2220000-20000-2-2220000000000
χ23222222-2-2-22-220020000-2-200-2-2220002-202-2-2000020000-2-2220000000000
χ24222222-2-2-22-220020000-2-200-2-222000-220-22-200002000022-2-20000000000
χ25222222-2-2-2-2-2-200-20000220000000002-20-2202i−2i2i−2i02i−2i2i−2i00000000000000
χ26222222-2-2-2-2-2-200-20000220000000002-20-220−2i2i−2i2i0−2i2i−2i2i00000000000000
χ27222222-2-2-2-2-2-200-2000022000000000-2202-202i−2i−2i2i02i−2i−2i2i00000000000000
χ28222222-2-2-2-2-2-200-2000022000000000-2202-20−2i2i2i−2i0−2i2i2i−2i00000000000000
χ292222-2-22-2-222222-222-2-22-2-2-222-2-200000000-222002-2-20000000000000000
χ302222-2-22-2-222222-222-2-22-2-2-2-2-222000000002-2-200-2220000000000000000
χ312222-2-22-2-2222-2-2-2-2-2222-22222-2-200000000-2-2-2002220000000000000000
χ322222-2-22-2-2222-2-2-2-2-2222-222-2-2220000000022200-2-2-20000000000000000
χ332222-2-22-2-2-22-2222-2-2-2-2-22220000000000000002i−2i000−2i2i2i−2i2i−2i0000000000
χ342222-2-22-2-2-22-2222-2-2-2-2-2222000000000000000−2i2i0002i−2i−2i2i−2i2i0000000000
χ352222-2-22-2-2-22-2-2-222222-22-2-20000000000000002i−2i000−2i2i−2i2i−2i2i0000000000
χ362222-2-22-2-2-22-2-2-222222-22-2-2000000000000000−2i2i0002i−2i2i−2i2i−2i0000000000
χ372222-2-2-2222-2200-20000-2200222222-200-200-20022-200-2-200000000000000
χ382222-2-2-2222-2200-20000-22002222-2-2200200-200-2-2-2002200000000000000
χ392222-2-2-2222-2200-20000-2200-2-2-2-222-200-200200-2-22002200000000000000
χ402222-2-2-2222-2200-20000-2200-2-2-2-2-2-220020020022200-2-200000000000000
χ412222-2-2-222-2-2-200200002-20000002-2-20020002i−2i000−2i2i002i−2i−2i2i0000000000
χ422222-2-2-222-2-2-200200002-20000002-2-2002000−2i2i0002i−2i00−2i2i2i−2i0000000000
χ432222-2-2-222-2-2-200200002-2000000-22200-20002i−2i000−2i2i00−2i2i2i−2i0000000000
χ442222-2-2-222-2-2-200200002-2000000-22200-2000−2i2i0002i−2i002i−2i−2i2i0000000000
χ4544-4-40000040-4000000000004-40000000000000000000000002-22-2000000
χ4644-4-40000040-4000000000004-4000000000000000000000000-22-22000000
χ4744-4-40000040-400000000000-440000000000000000000000002-2-22000000
χ4844-4-40000040-400000000000-44000000000000000000000000-222-2000000
χ494-44-44-444-40-404-40004-40000000000000000000000000000000000000000
χ504-44-44-444-40-40-44000-440000000000000000000000000000000000000000
χ514-44-44-4-4-440400004i−4i00004i−4i000000000000000000000000000000000000
χ524-44-44-4-4-44040000−4i4i0000−4i4i000000000000000000000000000000000000
χ534-44-4-444-440-404-4000-440000000000000000000000000000000000000000
χ544-44-4-444-440-40-440004-40000000000000000000000000000000000000000
χ554-44-4-44-44-40400004i−4i0000−4i4i000000000000000000000000000000000000
χ564-44-4-44-44-4040000−4i4i00004i−4i000000000000000000000000000000000000
χ5788-8-800000-80800000000000000000000000000000000000000000000000
χ588-8-8800000000000000000000042−4200000000000000000000000000000000
χ598-8-88000000000000000000000−424200000000000000000000000000000000

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