Finite Group Databasebeta

← Group #276582

Character table — Group #276582

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444444888888888888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111111111-1-1-1-11-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ711111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111
χ811111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111-1-1-1-1111111-1-1-1-11111-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-1
χ101111111111-1-1-1-1111111-1-1-1-11111-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-11
χ111111111111-1-1-1-1111111-1-1-1-11111-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-11
χ121111111111-1-1-1-1111111-1-1-1-11111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-11-1
χ131111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-11
χ141111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1
χ151111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1111-1
χ161111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-11
χ17222222222-2222222-2-22-2-2-222-2-20000-2000022-2-222-2-20000000000000000000000
χ18222222222-2222222-2-22-2-2-222-2-20000-20000-2-222-2-2220000000000000000000000
χ19222222222-2-2-2-2-222-2-22-222-2-2-2-200002000022-2-2-2-2220000000000000000000000
χ20222222222-2-2-2-2-222-2-22-222-2-2-2-2000020000-2-22222-2-20000000000000000000000
χ2122222222-222222-2-222-2222-2-2-2-22222-2-2-2-2-2000000000000000000000000000000
χ2222222222-222222-2-222-2222-2-2-2-2-2-2-2-2-22222000000000000000000000000000000
χ2322222222-22-2-2-2-2-2-222-22-2-222-2-222-2-22-2-222000000000000000000000000000000
χ2422222222-22-2-2-2-2-2-222-22-2-222-2-2-2-222222-2-2000000000000000000000000000000
χ2522222222-2-22222-2-2-2-2-2-2-2-2-2-22200002000000000000000000000000002i−2i2i−2i0000
χ2622222222-2-22222-2-2-2-2-2-2-2-2-2-2220000200000000000000000000000000−2i2i−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22222220000-2000000000000000000000000002i−2i−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22222220000-200000000000000000000000000−2i2i2i−2i0000
χ29222-2-2-22-22-20000-2-22-22200002-2002i−2i0002i−2i000000002i2i−2i−2i0000002-20000000000
χ30222-2-2-22-22-20000-2-22-22200002-2002i−2i0002i−2i00000000−2i−2i2i2i000000-220000000000
χ31222-2-2-22-22-20000-2-22-22200002-200−2i2i000−2i2i000000002i2i−2i−2i000000-220000000000
χ32222-2-2-22-22-20000-2-22-22200002-200−2i2i000−2i2i00000000−2i−2i2i2i0000002-20000000000
χ33222-2-2-22-2-2-20000222-2-220000-22002i−2i000−2i2i00000000000022-2-22i−2i000000000000
χ34222-2-2-22-2-2-20000222-2-220000-22002i−2i000−2i2i000000000000-2-222−2i2i000000000000
χ35222-2-2-22-2-2-20000222-2-220000-2200−2i2i0002i−2i00000000000022-2-2−2i2i000000000000
χ36222-2-2-22-2-2-20000222-2-220000-2200−2i2i0002i−2i000000000000-2-2222i−2i000000000000
χ3722-2-222-2-2-2022-2-22-20020002-200000000000002i−2i002i−2i2−22−22−22−20000i2−i20000i2−i200
χ3822-2-222-2-2-2022-2-22-20020002-200000000000002i−2i002i−2i−22−22−22−220000−i2i20000−i2i200
χ3922-2-222-2-2-2022-2-22-20020002-20000000000000−2i2i00−2i2i2−22−22−22−20000−i2i20000−i2i200
χ4022-2-222-2-2-2022-2-22-20020002-20000000000000−2i2i00−2i2i−22−22−22−220000i2−i20000i2−i200
χ4122-2-222-2-2-20-2-2222-2002000-2200000000000002i−2i00−2i2i2−22−2−22−220000i2−i20000−i2i200
χ4222-2-222-2-2-20-2-2222-2002000-2200000000000002i−2i00−2i2i−22−222−22−20000−i2i20000i2−i200
χ4322-2-222-2-2-20-2-2222-2002000-220000000000000−2i2i002i−2i2−22−2−22−220000−i2i20000i2−i200
χ4422-2-222-2-2-20-2-2222-2002000-220000000000000−2i2i002i−2i−22−222−22−20000i2−i20000−i2i200
χ45444-4-4-44-4440000-4-4-444-40000-44000000000000000000000000000000000000000
χ46444-4-4-44-4-44000044-44-4-400004-4000000000000000000000000000000000000000
χ4744-44-4-4-444000004-400-4000000000000000000000000000022−22−222200000000000000
χ4844-44-4-4-444000004-400-40000000000000000000000000000−222222−2200000000000000
χ4944-44-4-4-44-400000-440040000000000000000000000002i2−2i2−2i22i2000000000000000000
χ5044-44-4-4-44-400000-44004000000000000000000000000−2i22i22i2−2i2000000000000000000
χ5144-4-444-4-44044-4-4-4400-4000-4400000000000000000000000000000000000000000
χ5244-4-444-4-440-4-444-4400-40004-400000000000000000000000000000000000000000
χ534-4444-4-4-4040000004-40-40000004-40000000000000000000000000000000000000
χ544-4444-4-4-4040000004-40-4000000-440000000000000000000000000000000000000
χ554-4444-4-4-40-4000000-4404000000000004i−4i00000000000000000000000000000000
χ564-4444-4-4-40-4000000-440400000000000−4i4i00000000000000000000000000000000
χ574-44-4-44-44044i−4i4i−4i00-4-4044i−4i0000000000000000000000000000000000000000000
χ584-44-4-44-4404−4i4i−4i4i00-4-404−4i4i0000000000000000000000000000000000000000000
χ594-44-4-44-440-44i−4i4i−4i00440-4−4i4i0000000000000000000000000000000000000000000
χ604-44-4-44-440-4−4i4i−4i4i00440-44i−4i0000000000000000000000000000000000000000000
χ614-4-44-444-4004i−4i−4i4i00000000000000000000022−22002i2−2i2000000000000000000000000
χ624-4-44-444-4004i−4i−4i4i000000000000000000000−222200−2i22i2000000000000000000000000
χ634-4-44-444-400−4i4i4i−4i00000000000000000000022−2200−2i22i2000000000000000000000000
χ644-4-44-444-400−4i4i4i−4i000000000000000000000−2222002i2−2i2000000000000000000000000
χ658-8-8-88-888000000000000000000000000000000000000000000000000000000000

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