Finite Group Databasebeta

← Group #246162

Character table — Group #246162

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222222444444442222244448888888824444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111-1-111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1111111-1-1-1-1
χ511111111111111111111111-1-111-1-11111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-111111111
χ711111111111111111111111-1-1-1-1-1-1-1-1111111111-11-1-111-1-1-1-1-11111-1-1-1-1
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-111-1-1-1-11111
χ9111111111111-1-11-1-1-1-1111-11111-1-1111111-1-1-1-11-1-11-1-1111-1-1-111-1-111-1-1
χ10111111111111-1-11-1-1-1-1111-11111-1-111-1-1-1-111111-1-11-1-11-1-1-111-1-111-1-111
χ11111111111111-1-11-1-1-1-1111-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1111-1-11111-1-1
χ12111111111111-1-11-1-1-1-1111-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1111-1-111-1-1-1-111
χ13111111111111-1-11-1-1-1-1111-1-1-11111111111-1-1-1-1-111-1-11-111-1-1-1-1-111-1-111
χ14111111111111-1-11-1-1-1-1111-1-1-1111111-1-1-1-11111-111-1-11-1-1-1-11111-1-111-1-1
χ15111111111111-1-11-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-111-1-11-11-1-111111-1-1-1-111
χ16111111111111-1-11-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1111111-1-11-11111-1-1-1-11111-1-1
χ1722222222222222-2-2-2-2-2-2-2-222200-2-20000000000020-20000000000000000
χ1822222222222222-2-2-2-2-2-2-2-22-2-2002200000000000-2020000000000000000
χ19222222222222-2-2-22222-2-2-2-222002200000000000-20-20000000000000000
χ20222222222222-2-2-22222-2-2-2-2-2-200-2-2000000000002020000000000000000
χ2122222222-2-2-2-222222-2-2-2-22-2002200-2-200000000000020000-20000000000
χ2222222222-2-2-2-222222-2-2-2-22-200-2-20022000000000000-2000020000000000
χ2322222222-2-2-2-222-2-2-22222-2-2000000000000000020-2002-20000000000000
χ2422222222-2-2-2-222-2-2-22222-2-20000000000000000-20200-220000000000000
χ2522222222-2-2-2-2-2-22-2-222-2-222002200-2-2000000000000-2000020000000000
χ2622222222-2-2-2-2-2-22-2-222-2-22200-2-2002200000000000020000-20000000000
χ2722222222-2-2-2-2-2-2-222-2-222-22000000000000000020200-2-20000000000000
χ2822222222-2-2-2-2-2-2-222-2-222-220000000000000000-20-200220000000000000
χ29222-2-2-22-22-22-20002i−2i2i−2i00002-2002i−2i0022−2−2i2i2−i2−i200000000000000002−2i2−i2
χ30222-2-2-22-22-22-20002i−2i2i−2i00002-2002i−2i00−2−222−i2−i2i2i20000000000000000−22−i2i2
χ31222-2-2-22-22-22-20002i−2i2i−2i0000-2200−2i2i0022−2−2i2i2−i2−i20000000000000000−22−i2i2
χ32222-2-2-22-22-22-20002i−2i2i−2i0000-2200−2i2i00−2−222−i2−i2i2i200000000000000002−2i2−i2
χ33222-2-2-22-22-22-2000−2i2i−2i2i00002-200−2i2i0022−2−2−i2−i2i2i200000000000000002−2−i2i2
χ34222-2-2-22-22-22-2000−2i2i−2i2i00002-200−2i2i00−2−222i2i2−i2−i20000000000000000−22i2−i2
χ35222-2-2-22-22-22-2000−2i2i−2i2i0000-22002i−2i0022−2−2−i2−i2i2i20000000000000000−22i2−i2
χ36222-2-2-22-22-22-2000−2i2i−2i2i0000-22002i−2i00−2−222i2i2−i2−i200000000000000002−2−i2i2
χ372-2-2-22-2222-2-2200-200002-220002-2002-200002-22-200000000002-200000000
χ382-2-2-22-2222-2-2200-200002-220002-2002-20000-22-220000000000-2200000000
χ392-2-2-22-2222-2-2200-200002-22000-2200-2200002-22-20000000000-2200000000
χ402-2-2-22-2222-2-2200-200002-22000-2200-220000-22-2200000000002-200000000
χ412-2-2-22-222-222-200-20000-2220002-200-222-22-2000000000002-200000000000
χ422-2-2-22-222-222-200-20000-2220002-200-22-22-2200000000000-2200000000000
χ432-2-2-22-222-222-200-20000-222000-22002-22-22-200000000000-2200000000000
χ442-2-2-22-222-222-200-20000-222000-22002-2-22-22000000000002-200000000000
χ45444-4-4-44-4-44-440004i−4i−4i4i0000000000000000000000000000000000000000
χ46444-4-4-44-4-44-44000−4i4i4i−4i0000000000000000000000000000000000000000
χ474-44-444-4-400004-400000000000000000000000000000000000002i−2i2i−2i0000
χ484-44-444-4-400004-40000000000000000000000000000000000000−2i2i−2i2i0000
χ494-44-444-4-40000-4400000000000000000000000000000000000002i−2i−2i2i0000
χ504-44-444-4-40000-440000000000000000000000000000000000000−2i2i2i−2i0000
χ514-4-44-444-444-4-4000000000000000000000002i2−2i2−2i22i200000000000000000000
χ524-4-44-444-444-4-400000000000000000000000−2i22i22i2−2i200000000000000000000
χ534-4-44-444-4-4-444000000000000000000022−22−2222000000000000000000000000
χ544-4-44-444-4-4-4440000000000000000000−222222−22000000000000000000000000
χ554-4-4-44-4444-4-440040000-44-40000000000000000000000000000000000000
χ564-4-4-44-444-444-400400004-4-40000000000000000000000000000000000000
χ5788-888-8-8-8000000000000000000000000000000000000000000000000000
χ5888-8-8-88-88000000000000000000000000000000000000000000000000000
χ598-888-8-8-88000000000000000000000000000000000000000000000000000

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