Finite Group Databasebeta

← Group #317778

Character table — Group #317778

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222444444444444448888444444888888888844444444448888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111-1-11-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1111111
χ81111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1
χ91111111111111111-1-1-1-1111111-111-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1
χ101111111111111111-1-1-1-1111111-111-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1
χ131111111111111111-1-1-1-111-1-1-1-1-111-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111
χ141111111111111111-1-1-1-111-1-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-111-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-111
χ17222222222-2-222-2-2222-2-2-2-20000222-2-2-200000000002-2000000000000000000
χ18222222222-2-222-2-2222-2-2-2-200002-2-2-2220000000000-22000000000000000000
χ19222222222-2-222-2-22-2-222-2-20000-2222-2-20000000000-22000000000000000000
χ20222222222-2-222-2-22-2-222-2-20000-2-2-222200000000002-2000000000000000000
χ2122222222-222-2-222-22222-2-22222-200-200-2-222-2-2000000000000000000000000
χ2222222222-222-2-222-22222-2-2-2-2-2-2-200-20022-2-222000000000000000000000000
χ2322222222-222-2-222-2-2-2-2-2-2-22222200200-2-2-2-222000000000000000000000000
χ2422222222-222-2-222-2-2-2-2-2-2-2-2-2-2-22002002222-2-2000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2220000-2002000000002i2i−2i−2i000000000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-222-2-2220000-200200000000−2i−2i2i2i00000000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-222220000200-2000000002i2i−2i−2i00000000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-222220000200-200000000−2i−2i2i2i000000000000002i−2i0000
χ29222-2-2-2-2202-2002-202i−2i2i−2i002i2i−2i−2i000000002-20000000000000000i2−i22−2002−2i2−i2
χ30222-2-2-2-2202-2002-202i−2i2i−2i002i2i−2i−2i000000002-20000000000000000−i2i2−2200−22−i2i2
χ31222-2-2-2-2202-2002-202i−2i2i−2i00−2i−2i2i2i00000000-220000000000000000i2−i22−200−22−i2i2
χ32222-2-2-2-2202-2002-202i−2i2i−2i00−2i−2i2i2i00000000-220000000000000000−i2i2−22002−2i2−i2
χ33222-2-2-2-2202-2002-20−2i2i−2i2i002i2i−2i−2i00000000-220000000000000000i2−i2−22002−2−i2i2
χ34222-2-2-2-2202-2002-20−2i2i−2i2i002i2i−2i−2i00000000-220000000000000000−i2i22−200−22i2−i2
χ35222-2-2-2-2202-2002-20−2i2i−2i2i00−2i−2i2i2i000000002-20000000000000000i2−i2−2200−22i2−i2
χ36222-2-2-2-2202-2002-20−2i2i−2i2i00−2i−2i2i2i000000002-20000000000000000−i2i22−2002−2−i2i2
χ3722-2-2-222-22-2-2-2-222200002-22i−2i2i−2i0000002i−2i00000000002-200002i−2i0000000000
χ3822-2-2-222-22-2-2-2-222200002-22i−2i2i−2i0000002i−2i0000000000-220000−2i2i0000000000
χ3922-2-2-222-22-2-2-2-222200002-2−2i2i−2i2i000000−2i2i00000000002-20000−2i2i0000000000
χ4022-2-2-222-22-2-2-2-222200002-2−2i2i−2i2i000000−2i2i0000000000-2200002i−2i0000000000
χ4122-2-2-222-2-2-2-22222-20000-222i−2i2i−2i000000−2i2i0000000000002-22i−2i000000000000
χ4222-2-2-222-2-2-2-22222-20000-222i−2i2i−2i000000−2i2i000000000000-22−2i2i000000000000
χ4322-2-2-222-2-2-2-22222-20000-22−2i2i−2i2i0000002i−2i0000000000002-2−2i2i000000000000
χ4422-2-2-222-2-2-2-22222-20000-22−2i2i−2i2i0000002i−2i000000000000-222i−2i000000000000
χ45444-4-4-4-440-4400-4404i−4i−4i4i000000000000000000000000000000000000000000
χ46444-4-4-4-440-4400-440−4i4i4i−4i000000000000000000000000000000000000000000
χ4744-444-4-4-404-400-440000000000000000000004-4000000000000000000000000
χ4844-444-4-4-404-400-44000000000000000000000-44000000000000000000000000
χ4944-444-4-4-40-44004-400000004-4-44000000000000000000000000000000000000
χ5044-444-4-4-40-44004-40000000-444-4000000000000000000000000000000000000
χ5144-4-4-444-4444-4-4-4-440000-440000000000000000000000000000000000000000
χ5244-4-4-444-4-44444-4-4-400004-40000000000000000000000000000000000000000
χ534-444-44-4-44004-400-4000000000004-4000000000000000000000000000000000
χ544-444-44-4-44004-400-400000000000-44000000000000000000000000000000000
χ554-444-44-4-4-400-44004000000000000004i−4i000000000000000000000000000000
χ564-444-44-4-4-400-4400400000000000000−4i4i000000000000000000000000000000
χ574-4-4-444-44400-4400-400000000000000000000002i2−2i22i2−2i200000000000000000000
χ584-4-4-444-44400-4400-40000000000000000000000−2i22i2−2i22i200000000000000000000
χ594-4-4-444-44-4004-4004000000000000000000000022−22−222200000000000000000000
χ604-4-4-444-44-4004-40040000000000000000000000−222222−2200000000000000000000
χ618-88-88-88-8000000000000000000000000000000000000000000000000000000
χ628-8-88-8-888000000000000000000000000000000000000000000000000000000

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