Finite Group Databasebeta

← Group #259505

Character table — Group #259505

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444442244444444444488888888244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11111
χ51111111111111111111111-1-1111111-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1
χ71111111111111111111111-1-111-1-1-1-11111-1-111111111-1-1-111-11111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111
χ91111111111111111-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-1-11-1111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-11-1-1-11-1-111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-1-11111111-1-1-1-111
χ121111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-11111-1-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-111-111-1-111-1-1-1-111
χ151111111111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-11-1111-1-1-1-1-1-1-111-1-111
χ161111111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111111-11-1-1-1-1-11111-1-111-1-1
χ1722222222222-2-2-22-222-2-2-2-2222-2000000002200000000-20000-2000000000000
χ1822222222222-2-2-22-222-2-2-2-2-2-22-200000000-2-200000000200002000000000000
χ1922222222222-2-2-22-2-2-222-2-222-2200000000-2-20000000020000-2000000000000
χ2022222222222-2-2-22-2-2-222-2-2-2-2-22000000002200000000-200002000000000000
χ2122222222-2-2-2222-222222-2-200-2-22222000000000000000-2-2000000000000000
χ2222222222-2-2-2222-222222-2-200-2-2-2-2-2-200000000000000022000000000000000
χ2322222222-2-2-2222-22-2-2-2-2-2-2002222-2-2000000000000000-22000000000000000
χ2422222222-2-2-2222-22-2-2-2-2-2-20022-2-2220000000000000002-2000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22200-22000022-2-200000000000000002-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-22200-220000-2-2220000000000000000-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222002-2000022-2-20000000000000000-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222002-20000-2-22200000000000000002-20000000000
χ29222-2-2-2-2222-22-2-2-2200002-2000000002i−2i2i−2i0022-2-200000002i−2i0000000000000
χ30222-2-2-2-2222-22-2-2-2200002-2000000002i−2i2i−2i00-2-2220000000−2i2i0000000000000
χ31222-2-2-2-2222-22-2-2-2200002-200000000−2i2i−2i2i0022-2-20000000−2i2i0000000000000
χ32222-2-2-2-2222-22-2-2-2200002-200000000−2i2i−2i2i00-2-22200000002i−2i0000000000000
χ33222-2-2-2-22-2-22-2222-200002-2000000002i−2i−2i2i0000002i2i−2i−2i000000002-200000000
χ34222-2-2-2-22-2-22-2222-200002-2000000002i−2i−2i2i000000−2i−2i2i2i00000000-2200000000
χ35222-2-2-2-22-2-22-2222-200002-200000000−2i2i2i−2i0000002i2i−2i−2i00000000-2200000000
χ36222-2-2-2-22-2-22-2222-200002-200000000−2i2i2i−2i000000−2i−2i2i2i000000002-200000000
χ372-2-2-2-2222000-22-2022-22-20000002-22-20000002−22−22−22−2000000000000002−22−2
χ382-2-2-2-2222000-22-2022-22-20000002-22-2000000−22−22−22−2200000000000000−22−22
χ392-2-2-2-2222000-22-2022-22-2000000-22-220000002−22−22−22−200000000000000−22−22
χ402-2-2-2-2222000-22-2022-22-2000000-22-22000000−22−22−22−22000000000000002−22−2
χ412-2-2-2-2222000-22-202-22-220000002-2-220000002−22−2−22−22000000000000002−2−22
χ422-2-2-2-2222000-22-202-22-220000002-2-22000000−22−222−22−200000000000000−222−2
χ432-2-2-2-2222000-22-202-22-22000000-222-20000002−22−2−22−2200000000000000−222−2
χ442-2-2-2-2222000-22-202-22-22000000-222-2000000−22−222−22−2000000000000002−2−22
χ45444-4-4-4-4444-4-444-4-40000-440000000000000000000000000000000000000000
χ46444-4-4-4-44-4-444-4-4440000-440000000000000000000000000000000000000000
χ4744-44-44-4-44-44000-40000000000000000000000000000000000000000022−220000
χ4844-44-44-4-44-44000-400000000000000000000000000000000000000000−22220000
χ4944-44-44-4-4-44-400040000000000000000000000000000000000000002i2−2i2000000
χ5044-44-44-4-4-44-40004000000000000000000000000000000000000000−2i22i2000000
χ5144-4-44-44-44-4-4000400000000000000000004i−4i00000000000000000000000000
χ5244-4-44-44-44-4-400040000000000000000000−4i4i00000000000000000000000000
χ5344-4-44-44-4-444000-400000004-400000000000000000000000000000000000000
χ5444-4-44-44-4-444000-40000000-4400000000000000000000000000000000000000
χ554-4-444-4-4400044-40-40000000000000000000000002i2−2i2−2i22i2000000000000000000
χ564-4-444-4-4400044-40-4000000000000000000000000−2i22i22i2−2i2000000000000000000
χ574-4-444-4-44000-4-44040000000000000000000022−22−22220000000000000000000000
χ584-4-444-4-44000-4-440400000000000000000000−222222−220000000000000000000000
χ594-4-4-4-44440004-440-44-4-44000000000000000000000000000000000000000000
χ604-4-4-4-44440004-440-4-444-4000000000000000000000000000000000000000000
χ618-888-8-88-8000000000000000000000000000000000000000000000000000000
χ628-88-888-8-8000000000000000000000000000000000000000000000000000000

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