Finite Group Databasebeta

← Group #302199

Character table — Group #302199

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222222244444444444444444444444444444888888884444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111
χ5111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-111-1-1-1111111-1-1-1-1
χ9111111111111-1-1-1-11-1-1-1-1111111111-1-1-11111-1-1-1-11111-1-1-1-1-11-1-11-11-111-1-111-1-1
χ10111111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-11111-1-1-1-11111-11-1-11-11-1-1-111-1-111
χ11111111111111-1-1-1-11-1-1-1-11111111-1-111-11111-1-1-1-11111-1-1-1-1-1-11-1-11-11-1-111-1-111
χ12111111111111-1-1-1-11-1-1-1-11111111-1-111-1-1-1-1-11111-1-1-1-11111-1-11-1-11-1111-1-111-1-1
χ13111111111111-1-1-1-11-1-1-1-1111-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-111111-1111-1-1111-1-1-1-111
χ14111111111111-1-1-1-11-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-11-1111-1-11-1-11111-1-1
χ15111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1111111-11-111-1-1-11111-1-1
χ16111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-111-11-111-111-1-1-1-111
χ172222222222222222-222-2-2-2-2-200002222-200000000000000000000-2-20000000000
χ182222222222222222-222-2-2-2-2-20000-2-2-2-2-200000000000000000000220000000000
χ19222222222222-2-2-2-2-2-2-222-2-2-2000022-2-2200000000000000000000-220000000000
χ20222222222222-2-2-2-2-2-2-222-2-2-20000-2-2222000000000000000000002-20000000000
χ2122222222-2-2-2-222222-2-2-2-2-2-2222-2-2000020000000000000000-2002000000000000
χ2222222222-2-2-2-222222-2-2-2-2-2-22-2-222000020000000000000000200-2000000000000
χ2322222222-2-2-2-22222-2-2-22222-200000000-20000000000000000022000-2-200000000
χ2422222222-2-2-2-22222-2-2-22222-200000000-200000000000000000-2-20002200000000
χ2522222222-2-2-2-2-2-2-2-222222-2-2222-2-20000-20000000000000000200-2000000000000
χ2622222222-2-2-2-2-2-2-2-222222-2-22-2-2220000-20000000000000000-2002000000000000
χ2722222222-2-2-2-2-2-2-2-2-222-2-222-2000000002000000000000000002-2000-2200000000
χ2822222222-2-2-2-2-2-2-2-2-222-2-222-200000000200000000000000000-220002-200000000
χ29222-2-22-2-222-2-222-2-202-20000000002-22-200000000022−2−222−2−20000000000002−22−2
χ30222-2-22-2-222-2-222-2-202-20000000002-22-2000000000−2−222−2−222000000000000−22−22
χ31222-2-22-2-222-2-222-2-202-2000000000-22-2200000000022−2−222−2−2000000000000−22−22
χ32222-2-22-2-222-2-222-2-202-2000000000-22-22000000000−2−222−2−2220000000000002−22−2
χ33222-2-22-2-222-2-2-2-2220-220000000002-2-2200000000022−2−2−2−2220000000000002−2−22
χ34222-2-22-2-222-2-2-2-2220-220000000002-2-22000000000−2−22222−2−2000000000000−222−2
χ35222-2-22-2-222-2-2-2-2220-22000000000-222-200000000022−2−2−2−222000000000000−222−2
χ36222-2-22-2-222-2-2-2-2220-22000000000-222-2000000000−2−22222−2−20000000000002−2−22
χ3722-222-2-2-22-22-20000200002-2-22-22-200000000022-2-200002-22-20000000000000000
χ3822-222-2-2-22-22-20000200002-2-22-22-2000000000-2-2220000-22-220000000000000000
χ3922-222-2-2-22-22-20000200002-2-2-22-2200000000022-2-20000-22-220000000000000000
χ4022-222-2-2-22-22-20000200002-2-2-22-22000000000-2-22200002-22-20000000000000000
χ4122-222-2-2-2-22-22000020000-22-22-2-220000022-2-200002-22-200000000000000000000
χ4222-222-2-2-2-22-22000020000-22-22-2-2200000-2-2220000-22-2200000000000000000000
χ4322-222-2-2-2-22-22000020000-22-2-222-20000022-2-20000-22-2200000000000000000000
χ4422-222-2-2-2-22-22000020000-22-2-222-200000-2-22200002-22-200000000000000000000
χ45444-4-44-4-4-4-44444-4-40-440000000000000000000000000000000000000000000000
χ46444-4-44-4-4-4-444-4-44404-40000000000000000000000000000000000000000000000
χ4744-444-4-4-44-44-40000-40000-44400000000000000000000000000000000000000000
χ4844-444-4-4-4-44-440000-400004-4400000000000000000000000000000000000000000
χ4944-4-4-4-4444-4-4400000000000000000000000000000000022−22−22220000000000000000
χ5044-4-4-4-4444-4-44000000000000000000000000000000000−222222−220000000000000000
χ5144-4-4-4-444-444-40000000000000000000000000000022−22−222200000000000000000000
χ5244-4-4-4-444-444-400000000000000000000000000000−222222−2200000000000000000000
χ534-444-4-44-4000000000004-40000000000002-22-22-22-2000000000000000000000000
χ544-444-4-44-4000000000004-4000000000000-22-22-22-22000000000000000000000000
χ554-444-4-44-400000000000-440000000000002-22-2-22-22000000000000000000000000
χ564-444-4-44-400000000000-44000000000000-22-222-22-2000000000000000000000000
χ574-4-44-44-4400004-44-4000000000000000002-2-222-2-22000000000000000000000000
χ584-4-44-44-4400004-44-400000000000000000-222-2-222-2000000000000000000000000
χ594-4-44-44-440000-44-44000000000000000002-2-22-222-2000000000000000000000000
χ604-4-44-44-440000-44-4400000000000000000-222-22-2-22000000000000000000000000
χ614-4-4-4444-400004-4-44000000000000000000000000000000000000000002i−2i2i−2i0000
χ624-4-4-4444-400004-4-4400000000000000000000000000000000000000000−2i2i−2i2i0000
χ634-4-4-4444-40000-444-4000000000000000000000000000000000000000002i−2i−2i2i0000
χ644-4-4-4444-40000-444-400000000000000000000000000000000000000000−2i2i2i−2i0000
χ658-88-88-8-88000000000000000000000000000000000000000000000000000000000

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