Finite Group Databasebeta

← Group #349383

Character table — Group #349383

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444444448888888888888888888888888816161616161616161616161616161616
order12222222222244444444224444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-1111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-1111-1-1-1-1-1-111-1-11-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1111-1-1-1-1-1-111-1-11-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111-1-1-1-11-1-11111-1-1111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-1-1-11-1-11111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ9111111111111-1-111-1-1111111-11111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-111-1-1111111-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-111-1-11111-1-1-111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111
χ12111111111111-1-111-1-11111-1-1-111-1-111-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1
χ13111111111111-1-111-1-111-1-111-1-1-1-1-11111-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ14111111111111-1-111-1-111-1-111-1-1-1-1-11111-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111
χ15111111111111-1-111-1-111-1-1-1-1-1-1-111-1-1-1-111-111111111-1-111-1-111-1-1-1-111-1-111
χ16111111111111-1-111-1-111-1-1-1-1-1-1-111-1-1-1-111-111111111-1-1-1-111-1-11111-1-111-1-1
χ1722222222222222-2-2-2-2-2-2000020022-2-200-2-2-200000000220000000000000000
χ1822222222222222-2-2-2-2-2-20000200-2-2220022-200000000-2-20000000000000000
χ19222222222222-2-2-2-222-2-20000-200222200-2-2200000000-2-20000000000000000
χ20222222222222-2-2-2-222-2-20000-200-2-2-2-20022200000000220000000000000000
χ2122222222-2-2-2-2222-2222-22200-2-2-200000000-222-2-20000000000000000000000
χ2222222222-2-2-2-2222-2222-2-2-200-22200000000-2-2-2220000000000000000000000
χ2322222222-2-2-2-222-22-2-2-220022-2000000-2-2002000022-2-2000000000000000000
χ2422222222-2-2-2-222-22-2-2-2200-2-2-2000000220020000-2-222000000000000000000
χ2522222222-2-2-2-2-2-22-2-2-22-222002-2-2000000002-2-2220000000000000000000000
χ2622222222-2-2-2-2-2-22-2-2-22-2-2-20022200000000222-2-20000000000000000000000
χ2722222222-2-2-2-2-2-2-2222-2200222000000-2-200-20000-2-222000000000000000000
χ2822222222-2-2-2-2-2-2-2222-2200-2-220000002200-2000022-2-2000000000000000000
χ292-222-22-2-222-2-2002200-2-22-22-202-22-2002-22-2000000000000000000000000000
χ302-222-22-2-222-2-2002200-2-22-2-2202-2-2200-22-22000000000000000000000000000
χ312-222-22-2-222-2-2002200-2-2-222-20-22-22002-2-22000000000000000000000000000
χ322-222-22-2-222-2-2002200-2-2-22-220-222-200-222-2000000000000000000000000000
χ332-222-22-2-222-2-200-2-2002200000002-20000-2202i−2i2i−2i2i−2i2i−2i000000000000000000
χ342-222-22-2-222-2-200-2-2002200000002-20000-220−2i2i−2i2i−2i2i−2i2i000000000000000000
χ352-222-22-2-222-2-200-2-200220000000-2200002-202i−2i2i−2i−2i2i−2i2i000000000000000000
χ362-222-22-2-222-2-200-2-200220000000-2200002-20−2i2i−2i2i2i−2i2i−2i000000000000000000
χ372-222-22-2-2-2-222002-200-222-2000-22002i−2i0000000002i−2i−2i2i2i−2i0000000000000000
χ382-222-22-2-2-2-222002-200-222-2000-2200−2i2i000000000−2i2i2i−2i−2i2i0000000000000000
χ392-222-22-2-2-2-222002-200-22-220002-2002i−2i000000000−2i2i2i−2i2i−2i0000000000000000
χ402-222-22-2-2-2-222002-200-22-220002-200−2i2i0000000002i−2i−2i2i−2i2i0000000000000000
χ412-222-22-2-2-2-22200-22002-2002-2000002i−2i-22000−2i2i2i−2i0000−2i2i0000000000000000
χ422-222-22-2-2-2-22200-22002-2002-200000−2i2i-220002i−2i−2i2i00002i−2i0000000000000000
χ432-222-22-2-2-2-22200-22002-200-22000002i−2i2-20002i−2i−2i2i0000−2i2i0000000000000000
χ442-222-22-2-2-2-22200-22002-200-2200000−2i2i2-2000−2i2i2i−2i00002i−2i0000000000000000
χ4544-444-4-4-44-44-4000000000000000000000000000000000000000000000022−2200
χ4644-444-4-4-44-44-40000000000000000000000000000000000000000000000−222200
χ4744-444-4-4-4-44-4400000000000000000000000000000000000000000000000022−22
χ4844-444-4-4-4-44-44000000000000000000000000000000000000000000000000−2222
χ4944-4-4-444-400004i−4i000000000000000000000000000000002-22i−2i000000000000
χ5044-4-4-444-400004i−4i00000000000000000000000000000000-22−2i2i000000000000
χ5144-4-4-444-40000−4i4i000000000000000000000000000000002-2−2i2i000000000000
χ5244-4-4-444-40000−4i4i00000000000000000000000000000000-222i−2i000000000000
χ534-44-44-44-4000000004i−4i000000000000000000000000000000002i−2i2-200000000
χ544-44-44-44-4000000004i−4i00000000000000000000000000000000−2i2i-2200000000
χ554-44-44-44-400000000−4i4i000000000000000000000000000000002i−2i-2200000000
χ564-44-44-44-400000000−4i4i00000000000000000000000000000000−2i2i2-200000000
χ574-4-44-4-4444-4-4400000000000000000000000000000000000000000022−22000000
χ584-4-44-4-4444-4-44000000000000000000000000000000000000000000−2222000000
χ594-4-44-4-444-444-40000000000000000000000000000000000000000000022−220000
χ604-4-44-4-444-444-400000000000000000000000000000000000000000000−22220000
χ61888-8-8-8-88000000000000000000000000000000000000000000000000000000
χ628-8-8-888-88000000000000000000000000000000000000000000000000000000

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