Finite Group Databasebeta

← Group #287347

Character table — Group #287347

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444488888888888888888888888822444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111111-1-1-1-111111-1-1-1-111-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-11-1
χ1011111111111-1-1-1-111111-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-11
χ1111111111111-1-1-1-111111-1-1-1-111-11111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-11
χ1211111111111-1-1-1-111111-1-1-1-111-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-11-1
χ1311111111111-1-1-1-111111-1-1-1-111-1-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-111-1-111-1-1-11
χ1411111111111-1-1-1-111111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1111-1
χ1511111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1111-1
χ1611111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-111-1-11111-1-1-11
χ17222222222-2-2222222-22-222-2-2-2-2-20000222200000000-2-2-2-2000000000000000000
χ18222222222-2-2222222-22-222-2-2-2-2-20000-2-2-2-2000000002222000000000000000000
χ19222222222-2-2-2-2-2-222-22-2-2-222-2-22000022-2-200000000-2-222000000000000000000
χ20222222222-2-2-2-2-2-222-22-2-2-222-2-220000-2-2220000000022-2-2000000000000000000
χ2122222222-2222222-2-22-22-2-222-2-2-2000000000000000000000000002-22-200000000
χ2222222222-2222222-2-22-22-2-222-2-2-200000000000000000000000000-22-2200000000
χ2322222222-222-2-2-2-2-2-22-2222-2-2-2-22000000000000000000000000002-2-2200000000
χ2422222222-222-2-2-2-2-2-22-2222-2-2-2-2200000000000000000000000000-222-200000000
χ2522222222-2-2-22222-2-2-2-2-2-2-2-2-22222i2i−2i−2i000000002i2i−2i−2i0000000000000000000000
χ2622222222-2-2-22222-2-2-2-2-2-2-2-2-2222−2i−2i2i2i00000000−2i−2i2i2i0000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-22i2i−2i−2i00000000−2i−2i2i2i0000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2−2i−2i2i2i000000002i2i−2i−2i0000000000000000000000
χ29222-22-2-2-2-20022-2-22-20202-20000000002i−2i2i−2i22−2−20000000022−2−200000000i2−i2i2−i200
χ30222-22-2-2-2-20022-2-22-20202-20000000002i−2i2i−2i−2−22200000000−2−22200000000−i2i2−i2i200
χ31222-22-2-2-2-20022-2-22-20202-2000000000−2i2i−2i2i22−2−20000000022−2−200000000−i2i2−i2i200
χ32222-22-2-2-2-20022-2-22-20202-2000000000−2i2i−2i2i−2−22200000000−2−22200000000i2−i2i2−i200
χ33222-22-2-2-2-200-2-2222-2020-220000000002i−2i−2i2i22−2−200000000−2−22200000000i2−i2−i2i200
χ34222-22-2-2-2-200-2-2222-2020-220000000002i−2i−2i2i−2−2220000000022−2−200000000−i2i2i2−i200
χ35222-22-2-2-2-200-2-2222-2020-22000000000−2i2i2i−2i22−2−200000000−2−22200000000−i2i2i2−i200
χ36222-22-2-2-2-200-2-2222-2020-22000000000−2i2i2i−2i−2−2220000000022−2−200000000i2−i2−i2i200
χ3722-2-2-222-222-200002-2-2-2200002-20000000002i−2i2i−2i2i−2i2i−2i000000002-2000000000000
χ3822-2-2-222-222-200002-2-2-2200002-20000000002i−2i2i−2i−2i2i−2i2i00000000-22000000000000
χ3922-2-2-222-222-200002-2-2-2200002-2000000000−2i2i−2i2i2i−2i2i−2i00000000-22000000000000
χ4022-2-2-222-222-200002-2-2-2200002-2000000000−2i2i−2i2i−2i2i−2i2i000000002-2000000000000
χ4122-2-2-222-2-2-220000-2222-200002-200000000000002-2-2200002i−2i2i−2i0000002i−2i000000
χ4222-2-2-222-2-2-220000-2222-200002-200000000000002-2-220000−2i2i−2i2i000000−2i2i000000
χ4322-2-2-222-2-2-220000-2222-200002-20000000000000-222-200002i−2i2i−2i000000−2i2i000000
χ4422-2-2-222-2-2-220000-2222-200002-20000000000000-222-20000−2i2i−2i2i0000002i−2i000000
χ45444-44-4-4-440044-4-4-440-40-440000000000000000000000000000000000000000000
χ46444-44-4-4-4400-4-444-440-404-40000000000000000000000000000000000000000000
χ4744-44-4-4-444000000-4-40400000000000000000000000000002i2−2i2−2i22i200000000000000
χ4844-44-4-4-444000000-4-4040000000000000000000000000000−2i22i22i2−2i200000000000000
χ4944-44-4-4-44-4000000440-400000000000000002i2−2i2−2i22i200000000000000000000000000
χ5044-44-4-4-44-4000000440-40000000000000000−2i22i22i2−2i200000000000000000000000000
χ5144-4-4-444-44-4400004-44-4-40000-44000000000000000000000000000000000000000
χ5244-4-4-444-4-44-40000-44-4440000-44000000000000000000000000000000000000000
χ534-44-4-44-4404-400000040-400000002i2−2i22i2−2i20000000000000000000000000000000000
χ544-44-4-44-4404-400000040-40000000−2i22i2−2i22i20000000000000000000000000000000000
χ554-44-4-44-440-44000000-404000000022−22−22220000000000000000000000000000000000
χ564-44-4-44-440-44000000-4040000000−222222−220000000000000000000000000000000000
χ574-4-4444-4-40444-44-400-40-4004-400000000000000000000000000000000000000000
χ584-4-4444-4-4044-44-4400-40-400-4400000000000000000000000000000000000000000
χ594-4-4444-4-40-4-44-44-40040400-4400000000000000000000000000000000000000000
χ604-4-4444-4-40-4-4-44-4400404004-400000000000000000000000000000000000000000
χ614-4-4-44-4440004-4-44000000000000000000000000000022−2222−22000000000000000000
χ624-4-4-44-4440004-4-440000000000000000000000000000−2222−2222000000000000000000
χ634-4-4-44-444000-444-4000000000000000000000000000022−22−2222000000000000000000
χ644-4-4-44-444000-444-40000000000000000000000000000−222222−22000000000000000000
χ658-888-8-88-8000000000000000000000000000000000000000000000000000000000

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