Finite Group Databasebeta

← Group #294861

Character table — Group #294861

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444444444444444444444888888882244448888888822
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-111-1-1-1-111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1
χ91111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1-1-1-111-1-111-11
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-111111-1-1-1-111-11
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1111-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-11-111-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-11-11111-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-11-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111-11-1-111-1-111-1-1-11
χ1722222222222-2-2-2-2222-2-22222-2-222-2-22-2-2-20000000000000000000000000000
χ1822222222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-2222-2220000000000000000000000000000
χ1922222222222-2-2-2-22-2-2222222-2-2-2-222-22-2-20000000000000000000000000000
χ2022222222222-2-2-2-22-2-222-2-2-2-2-2-222-2-2-22220000000000000000000000000000
χ2122222222-2-2-22222-222220000-2-20000-2-20022220000000000-2-2000000000000
χ2222222222-2-2-22222-222220000-2-20000-2-200-2-2-2-2000000000022000000000000
χ2322222222-2-2-22222-2-2-2-2-20000-2-20000220022-2-20000000000-22000000000000
χ2422222222-2-2-22222-2-2-2-2-20000-2-200002200-2-22200000000002-2000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-20000220000-22000000000000002-2002-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-20000220000-2200000000000000-2200-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22200002200002-2000000000000002-200-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22200002200002-200000000000000-22002-20000000000
χ29222-2-22-2-200022-2-202-22-2000000000000002i−2i2i−2i22−2−222−2−20000000000i2−i2i2−i200
χ30222-2-22-2-200022-2-202-22-2000000000000002i−2i2i−2i−2−222−2−2220000000000−i2i2−i2i200
χ31222-2-22-2-200022-2-202-22-200000000000000−2i2i−2i2i22−2−222−2−20000000000−i2i2−i2i200
χ32222-2-22-2-200022-2-202-22-200000000000000−2i2i−2i2i−2−222−2−2220000000000i2−i2i2−i200
χ33222-2-22-2-200022-2-20-22-22000000000000002i−2i−2i2i22−2−2−2−2220000000000i2−i2−i2i200
χ34222-2-22-2-200022-2-20-22-22000000000000002i−2i−2i2i−2−22222−2−20000000000−i2i2i2−i200
χ35222-2-22-2-200022-2-20-22-2200000000000000−2i2i2i−2i22−2−2−2−2220000000000−i2i2i2−i200
χ36222-2-22-2-200022-2-20-22-2200000000000000−2i2i2i−2i−2−22222−2−20000000000i2−i2−i2i200
χ372-2-2222-2-222-22-22-2-200002i2i−2i−2i2-20000002i−2i000000002-22-2000000002i−2i000000
χ382-2-2222-2-222-22-22-2-200002i2i−2i−2i2-20000002i−2i00000000-22-2200000000−2i2i000000
χ392-2-2222-2-222-22-22-2-20000−2i−2i2i2i2-2000000−2i2i000000002-22-200000000−2i2i000000
χ402-2-2222-2-222-22-22-2-20000−2i−2i2i2i2-2000000−2i2i00000000-22-22000000002i−2i000000
χ412-2-2222-2-222-2-22-22-200002i2i−2i−2i-22000000−2i2i00002-22-200000000002i−2i00000000
χ422-2-2222-2-222-2-22-22-200002i2i−2i−2i-22000000−2i2i0000-22-220000000000−2i2i00000000
χ432-2-2222-2-222-2-22-22-20000−2i−2i2i2i-220000002i−2i00002-22-20000000000−2i2i00000000
χ442-2-2222-2-222-2-22-22-20000−2i−2i2i2i-220000002i−2i0000-22-2200000000002i−2i00000000
χ45444-4-44-4-4000-4-44404-4-44000000000000000000000000000000000000000000
χ46444-4-44-4-4000-4-4440-444-4000000000000000000000000000000000000000000
χ4744-44-4-44-44-440000-40000000000004i−4i00000000000000000000000000000000
χ4844-44-4-44-44-440000-4000000000000−4i4i00000000000000000000000000000000
χ4944-44-4-44-4-44-40000400004-44-400000000000000000000000000000000000000
χ5044-44-4-44-4-44-4000040000-44-4400000000000000000000000000000000000000
χ514-444-4-4-444-4-40000400000000004-40000000000000000000000000000000000
χ524-444-4-4-444-4-4000040000000000-440000000000000000000000000000000000
χ534-444-4-4-44-4440000-400004i−4i−4i4i00000000000000000000000000000000000000
χ544-444-4-4-44-4440000-40000−4i4i4i−4i00000000000000000000000000000000000000
χ554-4-4444-4-4-4-444-44-4400000000-44000000000000000000000000000000000000
χ564-4-4444-4-4-4-44-44-444000000004-4000000000000000000000000000000000000
χ574-4-4-4-44440004-4-4400000000000000000000000000022−22−22220000000000000000
χ584-4-4-4-44440004-4-44000000000000000000000000000−222222−220000000000000000
χ594-4-4-4-4444000-444-40000000000000000000000022−22−222200000000000000000000
χ604-4-4-4-4444000-444-400000000000000000000000−222222−2200000000000000000000
χ6188-8-88-8-88000000000000000000000000000000000000000000000000000000
χ628-88-88-88-8000000000000000000000000000000000000000000000000000000

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