Finite Group Databasebeta

← Group #285970

Character table — Group #285970

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444442244444488884444488888888888888888844444488888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-1
χ311111111111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-111-111-1-111-1-1-1-1
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ91111111111111111-1-111-1-1-1-11111-11111-1-1-1-11111111111-1-1-1-1-111-1-1-111-1-1-1-11-1
χ101111111111111111-1-111-1-1-1-11111-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-11111111-1-1-11
χ121111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1
χ131111111111111111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111-1
χ141111111111111111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-11
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-111-11
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111-1-111111-1-1-1-11-1
χ172222222222-2-22-2-2222-2-222-2-20000-222-2-2000000000000000000200-20000000000
χ182222222222-2-22-2-2222-2-222-2-20000-2-2-222000000000000000000-20020000000000
χ192222222222-2-22-2-22-2-2-2-2-2-2220000222-2-2000000000000000000-20020000000000
χ202222222222-2-22-2-22-2-2-2-2-2-22200002-2-222000000000000000000200-20000000000
χ2122222222-2-222-222-222-2-2-2-2-2-222222000022-2-2-2-200000000000000000000000000
χ2222222222-2-222-222-222-2-2-2-2-2-2-2-2-2-220000-2-2222200000000000000000000000000
χ2322222222-2-222-222-2-2-2-2-222222222-20000-2-222-2-200000000000000000000000000
χ2422222222-2-222-222-2-2-2-2-22222-2-2-2-2-2000022-2-22200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2220000-200000000002i2i−2i−2i00000000000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-22222-2-2220000-20000000000−2i−2i2i2i0000000000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-20000200000000002i2i−2i−2i0000000000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-2000020000000000−2i−2i2i2i00000000000000002i−2i0000
χ29222-2-2-2-22002-202-2000002i−2i2i−2i2i2i−2i−2i00000002-2000000i2i2−i2−i222−2−20000002−200i2−i200
χ30222-2-2-2-22002-202-2000002i−2i2i−2i2i2i−2i−2i00000002-2000000−i2−i2i2i2−2−222000000−2200−i2i200
χ31222-2-2-2-22002-202-2000002i−2i2i−2i−2i−2i2i2i0000000-22000000i2i2−i2−i222−2−2000000−2200−i2i200
χ32222-2-2-2-22002-202-2000002i−2i2i−2i−2i−2i2i2i0000000-22000000−i2−i2i2i2−2−2220000002−200i2−i200
χ33222-2-2-2-22002-202-200000−2i2i−2i2i2i2i−2i−2i0000000-22000000i2i2−i2−i2−2−2220000002−200−i2i200
χ34222-2-2-2-22002-202-200000−2i2i−2i2i2i2i−2i−2i0000000-22000000−i2−i2i2i222−2−2000000−2200i2−i200
χ35222-2-2-2-22002-202-200000−2i2i−2i2i−2i−2i2i2i00000002-2000000i2i2−i2−i2−2−222000000−2200i2−i200
χ36222-2-2-2-22002-202-200000−2i2i−2i2i−2i−2i2i2i00000002-2000000−i2−i2i2i222−2−20000002−200−i2i200
χ3722-222-2-2-22-222-2-2-22002-200000000000000000002i−2i2i−2i2-22-2000002i−2i00000000000
χ3822-222-2-2-22-222-2-2-22002-200000000000000000002i−2i2i−2i-22-2200000−2i2i00000000000
χ3922-222-2-2-22-222-2-2-22002-20000000000000000000−2i2i−2i2i2-22-200000−2i2i00000000000
χ4022-222-2-2-22-222-2-2-22002-20000000000000000000−2i2i−2i2i-22-22000002i−2i00000000000
χ4122-222-2-2-2-22-2-2222-2002-200000000000000000002-2-2200002i−2i2i−2i00002i−2i00000000
χ4222-222-2-2-2-22-2-2222-2002-200000000000000000002-2-220000−2i2i−2i2i0000−2i2i00000000
χ4322-222-2-2-2-22-2-2222-2002-20000000000000000000-222-200002i−2i2i−2i0000−2i2i00000000
χ4422-222-2-2-2-22-2-2222-2002-20000000000000000000-222-20000−2i2i−2i2i00002i−2i00000000
χ45444-4-4-4-4400-440-44000004i−4i−4i4i00000000000000000000000000000000000000000
χ46444-4-4-4-4400-440-4400000−4i4i4i−4i00000000000000000000000000000000000000000
χ4744-444-4-4-44-4-4-4-444400-44000000000000000000000000000000000000000000000
χ4844-444-4-4-4-44444-4-4-400-44000000000000000000000000000000000000000000000
χ4944-4-4-444-4004-40-4400000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ5044-4-4-444-4004-40-440000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ5144-4-4-444-400-4404-4000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ5244-4-4-444-400-4404-400000000000000000000000000000000−2i22i22i2−2i200000000000000
χ534-444-44-4-4000000004-40000002i2−2i22i2−2i2000002i2−2i2000000000000000000000000000000
χ544-444-44-4-4000000004-4000000−2i22i2−2i22i200000−2i22i2000000000000000000000000000000
χ554-444-44-4-400000000-440000002i2−2i22i2−2i200000−2i22i2000000000000000000000000000000
χ564-444-44-4-400000000-44000000−2i22i2−2i22i2000002i2−2i2000000000000000000000000000000
χ574-44-44-44-44400-400-40000000022−22−222200000000022−2200000000000000000000000000
χ584-44-44-44-44400-400-400000000−222222−22000000000−222200000000000000000000000000
χ594-44-44-44-4-4-40040040000000022−22−2222000000000−222200000000000000000000000000
χ604-44-44-44-4-4-400400400000000−222222−2200000000022−2200000000000000000000000000
χ614-4-4-444-444-400400-400000000000004i−4i0000000000000000000000000000000000
χ624-4-4-444-444-400400-40000000000000−4i4i0000000000000000000000000000000000
χ634-4-4-444-44-4400-40040000000000000004-400000000000000000000000000000000
χ644-4-4-444-44-4400-4004000000000000000-4400000000000000000000000000000000
χ658-8-88-8-888000000000000000000000000000000000000000000000000000000000

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