Finite Group Databasebeta

← Group #286998

Character table — Group #286998

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888844444488888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111111111-1-11-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ7111111111111111111111111-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ91111111111111111-1-1-1-1-1-111111111-111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-11
χ101111111111111111-1-1-1-1-1-111111111-111-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111-1
χ111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-11-1
χ121111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-111-11
χ131111111111111111-1-1-1-1-1-111-1-1-1-111-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-11
χ141111111111111111-1-1-1-1-1-111-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-11-1
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-111-1-111-1-1-11
χ17222222222-222-2-22-22222-2-2-2-2222200-200-2-2000000000000-2-22200000000000000
χ18222222222-222-2-22-22222-2-2-2-2-2-2-2-200-2002200000000000022-2-200000000000000
χ19222222222-222-2-22-2-2-2-2-222-2-222220020022000000000000-2-2-2-200000000000000
χ20222222222-222-2-22-2-2-2-2-222-2-2-2-2-2-200200-2-2000000000000222200000000000000
χ2122222222-22-2-222-2222-2-222-2-2000022-2-2-20000000000000000002-2000000000000
χ2222222222-22-2-222-2222-2-222-2-20000-2-2-222000000000000000000-22000000000000
χ2322222222-22-2-222-22-2-222-2-2-2-20000222-2-2000000000000000000-22000000000000
χ2422222222-22-2-222-22-2-222-2-2-2-20000-2-22220000000000000000002-2000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-222000000200002i2i−2i−2i0000000000000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-22200000020000−2i−2i2i2i000000000000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222000000-200002i2i−2i−2i000000000000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222000000-20000−2i−2i2i2i0000000000000000002i−2i000000
χ29222-2-2-2-22-202200-202i−2i2i−2i000022-2-200000000000i2i2−i2−i222−2−2002i−2i00000000i2−i22−200
χ30222-2-2-2-22-202200-202i−2i2i−2i000022-2-200000000000−i2−i2i2i2−2−222002i−2i00000000−i2i2−2200
χ31222-2-2-2-22-202200-202i−2i2i−2i0000-2-22200000000000i2i2−i2−i222−2−200−2i2i00000000−i2i2−2200
χ32222-2-2-2-22-202200-202i−2i2i−2i0000-2-22200000000000−i2−i2i2i2−2−22200−2i2i00000000i2−i22−200
χ33222-2-2-2-22-202200-20−2i2i−2i2i000022-2-200000000000i2i2−i2−i2−2−22200−2i2i00000000i2−i2−2200
χ34222-2-2-2-22-202200-20−2i2i−2i2i000022-2-200000000000−i2−i2i2i222−2−200−2i2i00000000−i2i22−200
χ35222-2-2-2-22-202200-20−2i2i−2i2i0000-2-22200000000000i2i2−i2−i2−2−222002i−2i00000000−i2i22−200
χ36222-2-2-2-22-202200-20−2i2i−2i2i0000-2-22200000000000−i2−i2i2i222−2−2002i−2i00000000i2−i2−2200
χ3722-2-2-222-22-22-22-2-220000002-2000000000002-22-200002i−2i2i−2i000000002i−2i00000000
χ3822-2-2-222-22-22-22-2-220000002-2000000000002-22-20000−2i2i−2i2i00000000−2i2i00000000
χ3922-2-2-222-22-22-22-2-220000002-200000000000-22-2200002i−2i2i−2i00000000−2i2i00000000
χ4022-2-2-222-22-22-22-2-220000002-200000000000-22-220000−2i2i−2i2i000000002i−2i00000000
χ4122-2-2-222-2-22-22-222-20000002-2000000000002i−2i−2i2i2i−2i2i−2i00000000002-20000000000
χ4222-2-2-222-2-22-22-222-20000002-2000000000002i−2i−2i2i−2i2i−2i2i0000000000-220000000000
χ4322-2-2-222-2-22-22-222-20000002-200000000000−2i2i2i−2i2i−2i2i−2i0000000000-220000000000
χ4422-2-2-222-2-22-22-222-20000002-200000000000−2i2i2i−2i−2i2i−2i2i00000000002-20000000000
χ45444-4-4-4-4440-4-400404i−4i−4i4i000000000000000000000000000000000000000000000
χ46444-4-4-4-4440-4-40040−4i4i4i−4i000000000000000000000000000000000000000000000
χ4744-444-4-4-440-4400-400000000000000000000000022−22−22220000000000000000000000
χ4844-444-4-4-440-4400-4000000000000000000000000−222222−220000000000000000000000
χ4944-444-4-4-4-404-400400000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ5044-444-4-4-4-404-40040000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ5144-4-4-444-4444-4-44-4-4000000-4400000000000000000000000000000000000000000
χ5244-4-4-444-4-4-4-444-444000000-4400000000000000000000000000000000000000000
χ534-444-44-4-40000000000004-4002i2−2i22i2−2i2000002i2−2i2000000000000000000000000000000
χ544-444-44-4-40000000000004-400−2i22i2−2i22i200000−2i22i2000000000000000000000000000000
χ554-444-44-4-4000000000000-44002i2−2i22i2−2i200000−2i22i2000000000000000000000000000000
χ564-444-44-4-4000000000000-4400−2i22i2−2i22i2000002i2−2i2000000000000000000000000000000
χ574-44-44-44-40400-4-404000000002i2−2i2−2i22i200000000000000000002i2−2i20000000000000000
χ584-44-44-44-40400-4-40400000000−2i22i22i2−2i20000000000000000000−2i22i20000000000000000
χ594-44-44-44-40-400440-4000000002i2−2i2−2i22i20000000000000000000−2i22i20000000000000000
χ604-44-44-44-40-400440-400000000−2i22i22i2−2i200000000000000000002i2−2i20000000000000000
χ614-4-44-4-44404004-40-40000000000004i−4i00000000000000000000000000000000000
χ624-4-44-4-44404004-40-4000000000000−4i4i00000000000000000000000000000000000
χ634-4-44-4-4440-400-44040000000000000004-400000000000000000000000000000000
χ644-4-44-4-4440-400-4404000000000000000-4400000000000000000000000000000000
χ658-8-8-888-88000000000000000000000000000000000000000000000000000000000

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