Finite Group Databasebeta

← Group #246169

Character table — Group #246169

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222222224444442244444448888888822444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11-1-111111111-1-1-11-1-1-11-1-1-1-1-1-1-1-11111
χ411111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111-11-1111-1-1-1-11111-1-1-1-1
χ51111111111111111111111-1-1-1-1111111111111111-1-1-111-11-11-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111111111
χ71111111111111111111111-1-1-1-1-1-11-1-111111111-1-11-11-1-1-1-11-111111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111-1111-1-11-11-1-1-1-11111
χ9111111111111-1-1-1-11-1-111111-1-111-1111111-1-1-1-111-1-1-1-1-11-11-1111-1-111-1-1
χ10111111111111-1-1-1-11-1-111111-1-111-111-1-1-1-11111-1-1-1-1-1111-11-11-1-111-1-111
χ11111111111111-1-1-1-11-1-111111-1-1-1-1-1-1-11111-1-1-1-1-1-11-111111-11-1-1-11111-1-1
χ12111111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-11111111-11-1-111-11-111-1-1-1-111
χ13111111111111-1-1-1-11-1-1111-1-11111-1111111-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-111
χ14111111111111-1-1-1-11-1-1111-1-11111-111-1-1-1-11111-1-111111-1-1-1-1-111-1-111-1-1
χ15111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-11111-1-1-1-1-1-1-11-111-1111111-1-1-1-111
χ16111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-1-1111111-11-1-1-1-11111-1-11111-1-1
χ172222222222222222-2-2-2-2-2-2222200-20000000000000-2000-2000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-200-2000000000000020002000000000000
χ19222222222222-2-2-2-2-222-2-2-222-2-200200000000000002000-2000000000000
χ20222222222222-2-2-2-2-222-2-2-2-2-2220020000000000000-20002000000000000
χ2122222222-2-2-2-222-2-2222-2-22000022-2-2-20000000000000000-202000000000
χ2222222222-2-2-2-222-2-2222-2-220000-2-2-222000000000000000020-2000000000
χ2322222222-2-2-2-222-2-2-2-2-222-2000000200000000000020-2000020-200000000
χ2422222222-2-2-2-222-2-2-2-2-222-20000002000000000000-2020000-20200000000
χ2522222222-2-2-2-2-2-2222-2-2-2-220000222-2-2000000000000000020-2000000000
χ2622222222-2-2-2-2-2-2222-2-2-2-220000-2-22220000000000000000-202000000000
χ2722222222-2-2-2-2-2-222-22222-2000000-200000000000020-20000-20200000000
χ2822222222-2-2-2-2-2-222-22222-2000000-2000000000000-202000020-200000000
χ29222-22-2-2-2-2-2222-22-20000002-22-200000i2i2−i2−i2i2i2−i2−i20000000000000000i2−i2i2−i2
χ30222-22-2-2-2-2-2222-22-20000002-22-200000−i2−i2i2i2−i2−i2i2i20000000000000000−i2i2−i2i2
χ31222-22-2-2-2-2-2222-22-2000000-22-2200000i2i2−i2−i2i2i2−i2−i20000000000000000−i2i2−i2i2
χ32222-22-2-2-2-2-2222-22-2000000-22-2200000−i2−i2i2i2−i2−i2i2i20000000000000000i2−i2i2−i2
χ33222-22-2-2-2-2-222-22-220000002-2-2200000i2i2−i2−i2−i2−i2i2i20000000000000000i2−i2−i2i2
χ34222-22-2-2-2-2-222-22-220000002-2-2200000−i2−i2i2i2i2i2−i2−i20000000000000000−i2i2i2−i2
χ35222-22-2-2-2-2-222-22-22000000-222-200000i2i2−i2−i2−i2−i2i2i20000000000000000−i2i2i2−i2
χ36222-22-2-2-2-2-222-22-22000000-222-200000−i2−i2i2i2i2i2−i2−i20000000000000000i2−i2−i2i2
χ372-2-2-22-2222-22-20000-2002-2200002-202-200002-22-2000002-20000000000000
χ382-2-2-22-2222-22-20000-2002-2200002-202-20000-22-2200000-220000000000000
χ392-2-2-22-2222-22-20000-2002-220000-220-2200002-22-200000-220000000000000
χ402-2-2-22-2222-22-20000-2002-220000-220-220000-22-22000002-20000000000000
χ412-2-2-22-222-22-220000-200-22200002-20-222-22-200002-2000000000000000000
χ422-2-2-22-222-22-220000-200-22200002-20-22-22-220000-22000000000000000000
χ432-2-2-22-222-22-220000-200-2220000-2202-22-22-20000-22000000000000000000
χ442-2-2-22-222-22-220000-200-2220000-2202-2-22-2200002-2000000000000000000
χ45444-44-4-4-444-4-44-4-440000000000000000000000000000000000000000000
χ46444-44-4-4-444-4-4-444-40000000000000000000000000000000000000000000
χ4744-44-4-44-40000000004i−4i000000000000000000000000000000002-22i−2i0000
χ4844-44-4-44-40000000004i−4i00000000000000000000000000000000-22−2i2i0000
χ4944-44-4-44-4000000000−4i4i000000000000000000000000000000002-2−2i2i0000
χ5044-44-4-44-4000000000−4i4i00000000000000000000000000000000-222i−2i0000
χ514-4-4444-4-44-4-4400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ524-4-4444-4-44-4-440000000000000000000−2i22i22i2−2i2000000000000000000000000
χ534-4-4444-4-4-444-4000000000000000000000002i2−2i2−2i22i200000000000000000000
χ544-4-4444-4-4-444-400000000000000000000000−2i22i22i2−2i200000000000000000000
χ554-4-4-44-4444-44-40000400-44-40000000000000000000000000000000000000
χ564-4-4-44-444-44-4400004004-4-40000000000000000000000000000000000000
χ5788-8-8-88-88000000000000000000000000000000000000000000000000000
χ588-888-8-8-88000000000000000000000000000000000000000000000000000
χ598-88-8-888-8000000000000000000000000000000000000000000000000000

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