Finite Group Databasebeta

← Group #259175

Character table — Group #259175

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444442244444444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1111-1-1-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111111111-1-1-1-1
χ51111111111111111111111-1-1111-1-1111-1-1-1-111111111-111-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-11-1-1-1-11-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ91111111111111111-1-1-1-11111-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-111111-1-111-1-111-1-1
χ101111111111111111-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-111-1-1-1-111
χ131111111111111111-1-1-1-111-1-1-11111-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-111-1-1-11111-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-111-111-1-1-1-11111-1-1-1-11-11-11111-1-1-1-111-1-111
χ161111111111111111-1-1-1-111-1-1-1-1-111-111-1-1-1-1-1-1-1-111111-11-111-1-11111-1-111-1-1
χ172222222222-2-2-222-22222-2-222-20022-200000000000000-200-200000000000000
χ182222222222-2-2-222-22222-2-2-2-2-200-2-2-200000000000000200200000000000000
χ192222222222-2-2-222-2-2-2-2-2-2-222200-2-2200000000000000200-200000000000000
χ202222222222-2-2-222-2-2-2-2-2-2-2-2-220022200000000000000-200200000000000000
χ2122222222-2-2222-2-2222-2-2-2-20022200-2220000000000000-2-2000000000000000
χ2222222222-2-2222-2-2222-2-2-2-2002-2-200-2-2-2000000000000022000000000000000
χ2322222222-2-2222-2-22-2-222-2-200-222002-2-20000000000000-22000000000000000
χ2422222222-2-2222-2-22-2-222-2-200-2-2-20022200000000000002-2000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22200-2000020022-2-20000000000002-2000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-22200-20000200-2-222000000000000-22000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222220020000-20022-2-2000000000000-22000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222220020000-200-2-2220000000000002-2000000000000
χ29222-2-2-2-222-20002-202i−2i2i−2i002-20002i−2i000000022−2−2i2i2−i2−i2000000000000002−2i2−i2
χ30222-2-2-2-222-20002-202i−2i2i−2i002-20002i−2i0000000−2−222−i2−i2i2i200000000000000−22−i2i2
χ31222-2-2-2-222-20002-202i−2i2i−2i00-22000−2i2i000000022−2−2i2i2−i2−i200000000000000−22−i2i2
χ32222-2-2-2-222-20002-202i−2i2i−2i00-22000−2i2i0000000−2−222−i2−i2i2i2000000000000002−2i2−i2
χ33222-2-2-2-222-20002-20−2i2i−2i2i002-2000−2i2i000000022−2−2−i2−i2i2i2000000000000002−2−i2i2
χ34222-2-2-2-222-20002-20−2i2i−2i2i002-2000−2i2i0000000−2−222i2i2−i2−i200000000000000−22i2−i2
χ35222-2-2-2-222-20002-20−2i2i−2i2i00-220002i−2i000000022−2−2−i2−i2i2i200000000000000−22i2−i2
χ36222-2-2-2-222-20002-20−2i2i−2i2i00-220002i−2i0000000−2−222i2i2−i2−i2000000000000002−2−i2i2
χ3722-2-2-222-2222-2-2-2-2200002-200000000002i−2i2i−2i2-22-20000000000002i−2i00000000
χ3822-2-2-222-2222-2-2-2-2200002-200000000002i−2i2i−2i-22-22000000000000−2i2i00000000
χ3922-2-2-222-2222-2-2-2-2200002-20000000000−2i2i−2i2i2-22-2000000000000−2i2i00000000
χ4022-2-2-222-2222-2-2-2-2200002-20000000000−2i2i−2i2i-22-220000000000002i−2i00000000
χ4122-2-2-222-2-2-2-22222-200002-200000000002i−2i−2i2i00002i−2i2i−2i0000002-20000000000
χ4222-2-2-222-2-2-2-22222-200002-200000000002i−2i−2i2i0000−2i2i−2i2i000000-220000000000
χ4322-2-2-222-2-2-2-22222-200002-20000000000−2i2i2i−2i00002i−2i2i−2i000000-220000000000
χ4422-2-2-222-2-2-2-22222-200002-20000000000−2i2i2i−2i0000−2i2i−2i2i0000002-20000000000
χ45444-4-4-4-44-44000-4404i−4i−4i4i000000000000000000000000000000000000000000
χ46444-4-4-4-44-44000-440−4i4i4i−4i000000000000000000000000000000000000000000
χ4744-444-4-4-44-4000-4400000000000000000000022−22−22220000000000000000000000
χ4844-444-4-4-44-4000-44000000000000000000000−222222−220000000000000000000000
χ4944-444-4-4-4-440004-4000000000000000000000000022−22−2222000000000000000000
χ5044-444-4-4-4-440004-40000000000000000000000000−222222−22000000000000000000
χ5144-4-4-444-444-444-4-4-40000-440000000000000000000000000000000000000000
χ5244-4-4-444-4-4-44-4-44440000-440000000000000000000000000000000000000000
χ534-444-44-4-40044-400-40000000000000000000000000000000000000022−22000000
χ544-444-44-4-40044-400-400000000000000000000000000000000000000−2222000000
χ554-444-44-4-400-4-4400400000000000000000000000000000000000000002i2−2i20000
χ564-444-44-4-400-4-440040000000000000000000000000000000000000000−2i22i20000
χ574-4-4-444-44004-4400-40000000004i−4i00000000000000000000000000000000000
χ584-4-4-444-44004-4400-4000000000−4i4i00000000000000000000000000000000000
χ594-4-4-444-4400-44-4004000000000000004-4000000000000000000000000000000
χ604-4-4-444-4400-44-400400000000000000-44000000000000000000000000000000
χ618-88-88-88-8000000000000000000000000000000000000000000000000000000
χ628-8-88-8-888000000000000000000000000000000000000000000000000000000

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