Finite Group Databasebeta

← Group #259491

Character table — Group #259491

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444442244444444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111
χ51111111111111111111111-1-1111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ71111111111111111111111-1-1-1-111-1-11111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111
χ91111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-111-1-111-1-1
χ101111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11-11-1-1-1-1-11111-1-1-1-111
χ121111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111-11-111-1-1-1-1-1-11111-1-1
χ131111111111111111-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-11-11-1-1-1-111-1-11111-1-1
χ141111111111111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-11-1111-1-1-1-111-1-1-1-111
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-111-11111-1-1-1-111-1-111
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-111-1-1-1111111-1-111-1-1
χ1722222222222-2-2-2-2222-2-2-2-222002-20000002200000000-2-20000000000000000
χ1822222222222-2-2-2-2222-2-2-2-2-2-2002-2000000-2-200000000220000000000000000
χ1922222222222-2-2-2-22-2-222-2-22200-22000000-2-200000000-220000000000000000
χ2022222222222-2-2-2-22-2-222-2-2-2-200-2200000022000000002-20000000000000000
χ2122222222-2-2-22222-22222-2-20022-2-2220000000000000000-2-200000000000000
χ2222222222-2-2-22222-22222-2-200-2-2-2-2-2-200000000000000002200000000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-2002222-2-200000000000000002-200000000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-200-2-222220000000000000000-2200000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2220000-220022-2-200000000000000002-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2220000-2200-2-2220000000000000000-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222200002-20022-2-20000000000000000-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222200002-200-2-22200000000000000002-20000000000
χ29222-2-2-2-2222-2-2-222-200002-2000000002i−2i2i−2i00000022-2-200002i−2i000000000000
χ30222-2-2-2-2222-2-2-222-200002-2000000002i−2i2i−2i000000-2-2220000−2i2i000000000000
χ31222-2-2-2-2222-2-2-222-200002-200000000−2i2i−2i2i00000022-2-20000−2i2i000000000000
χ32222-2-2-2-2222-2-2-222-200002-200000000−2i2i−2i2i000000-2-22200002i−2i000000000000
χ33222-2-2-2-22-2-2222-2-2200002-2000000002i−2i−2i2i002i2i−2i−2i0000000000002-200000000
χ34222-2-2-2-22-2-2222-2-2200002-2000000002i−2i−2i2i00−2i−2i2i2i000000000000-2200000000
χ35222-2-2-2-22-2-2222-2-2200002-200000000−2i2i2i−2i002i2i−2i−2i000000000000-2200000000
χ36222-2-2-2-22-2-2222-2-2200002-200000000−2i2i2i−2i00−2i−2i2i2i0000000000002-200000000
χ3722-2-2-222-20002-22-202i−2i2i−2i00002i−2i002-2000000i2−i2i2−i22−22−2000000000000002−2i2−i2
χ3822-2-2-222-20002-22-202i−2i2i−2i00002i−2i002-2000000−i2i2−i2i2−22−2200000000000000−22−i2i2
χ3922-2-2-222-20002-22-202i−2i2i−2i0000−2i2i00-22000000i2−i2i2−i22−22−200000000000000−22−i2i2
χ4022-2-2-222-20002-22-202i−2i2i−2i0000−2i2i00-22000000−i2i2−i2i2−22−22000000000000002−2i2−i2
χ4122-2-2-222-20002-22-20−2i2i−2i2i00002i−2i00-22000000i2−i2i2−i2−22−22000000000000002−2−i2i2
χ4222-2-2-222-20002-22-20−2i2i−2i2i00002i−2i00-22000000−i2i2−i2i22−22−200000000000000−22i2−i2
χ4322-2-2-222-20002-22-20−2i2i−2i2i0000−2i2i002-2000000i2−i2i2−i2−22−2200000000000000−22i2−i2
χ4422-2-2-222-20002-22-20−2i2i−2i2i0000−2i2i002-2000000−i2i2−i2i22−22−2000000000000002−2−i2i2
χ45444-4-4-4-4444-444-4-4-40000-440000000000000000000000000000000000000000
χ46444-4-4-4-44-4-44-4-44440000-440000000000000000000000000000000000000000
χ4744-444-4-4-40004-4-4400000000000000000000022−22−22220000000000000000000000
χ4844-444-4-4-40004-4-44000000000000000000000−222222−220000000000000000000000
χ4944-444-4-4-4000-444-4000000000000000000000000022−22−2222000000000000000000
χ5044-444-4-4-4000-444-40000000000000000000000000−222222−22000000000000000000
χ5144-4-4-444-4000-44-4404i−4i−4i4i000000000000000000000000000000000000000000
χ5244-4-4-444-4000-44-440−4i4i4i−4i000000000000000000000000000000000000000000
χ534-444-44-4-44-440000-40000000000000000000000000000000000000022−22000000
χ544-444-44-4-44-440000-400000000000000000000000000000000000000−2222000000
χ554-444-44-4-4-44-40000400000000000000000000000000000000000000002i2−2i20000
χ564-444-44-4-4-44-4000040000000000000000000000000000000000000000−2i22i20000
χ574-44-44-44-44-4-4000040000000000000000004i−4i00000000000000000000000000
χ584-44-44-44-44-4-400004000000000000000000−4i4i00000000000000000000000000
χ594-44-44-44-4-4440000-40000004-400000000000000000000000000000000000000
χ604-44-44-44-4-4440000-4000000-4400000000000000000000000000000000000000
χ618-8-88-8-888000000000000000000000000000000000000000000000000000000
χ628-8-8-888-88000000000000000000000000000000000000000000000000000000

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