Finite Group Databasebeta

← Group #295337

Character table — Group #295337

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444448888888824444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111111-1-111-1-11111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-111111111-1-1-1-1
χ711111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-111-1111111-1-1-1-1-1-1-1-1
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111111111
χ9111111111111-1-11-1-1-1-1111-1111111-1-11111-1-1-1-1-1-111-1-11-111-1-111-1-111-1-1
χ10111111111111-1-11-1-1-1-1111-1111111-1-1-1-1-1-11111-1-111-1-11-1-1-111-1-111-1-111
χ11111111111111-1-11-1-1-1-1111-111-1-111111111-1-1-1-1-1-1-1-111-11-1-11111-1-1-1-111
χ12111111111111-1-11-1-1-1-1111-111-1-11111-1-1-1-11111-1-1-1-111-1111-1-1-1-11111-1-1
χ13111111111111-1-11-1-1-1-1111-1-1-111-1-1-1-11111-1-1-1-1111-11-1-11-1-111-1-11111-1-1
χ14111111111111-1-11-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-11111111-11-1-1111-1-111-1-1-1-111
χ15111111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-111-11-111-111-1-1-1-111-1-111
χ16111111111111-1-11-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-1111111-11-111-1-1-11111-1-111-1-1
χ1722222222222222-2-2-2-2-2-2-2-22002200-2-20000000000-200200000000000000
χ1822222222222222-2-2-2-2-2-2-2-2200-2-200220000000000200-200000000000000
χ19222222222222-2-2-22222-2-2-2-2002200220000000000-200-200000000000000
χ20222222222222-2-2-22222-2-2-2-200-2-200-2-20000000000200200000000000000
χ2122222222-2-2-2-222222-2-2-2-22-22200-2-20000000000-22000000000000000000
χ2222222222-2-2-2-222222-2-2-2-22-2-2-2002200000000002-2000000000000000000
χ2322222222-2-2-2-222-2-2-22222-2-20000000000000000000220-2-2000000000000
χ2422222222-2-2-2-222-2-2-22222-2-20000000000000000000-2-2022000000000000
χ2522222222-2-2-2-2-2-22-2-222-2-2222200-2-200000000002-2000000000000000000
χ2622222222-2-2-2-2-2-22-2-222-2-222-2-200220000000000-22000000000000000000
χ2722222222-2-2-2-2-2-2-222-2-222-2200000000000000000002-20-22000000000000
χ2822222222-2-2-2-2-2-2-222-2-222-220000000000000000000-2202-2000000000000
χ29222-2-22-2-22-22-200-200002-2202i−2i002i−2i0000002i2i−2i−2i000000000000002-20000
χ30222-2-22-2-22-22-200-200002-2202i−2i002i−2i000000−2i−2i2i2i00000000000000-220000
χ31222-2-22-2-22-22-200-200002-220−2i2i00−2i2i0000002i2i−2i−2i00000000000000-220000
χ32222-2-22-2-22-22-200-200002-220−2i2i00−2i2i000000−2i−2i2i2i000000000000002-20000
χ33222-2-22-2-2-22-2200-20000-22202i−2i00−2i2i002i2i−2i−2i00000000000000002-2000000
χ34222-2-22-2-2-22-2200-20000-22202i−2i00−2i2i00−2i−2i2i2i0000000000000000-22000000
χ35222-2-22-2-2-22-2200-20000-2220−2i2i002i−2i002i2i−2i−2i0000000000000000-22000000
χ36222-2-22-2-2-22-2200-20000-2220−2i2i002i−2i00−2i−2i2i2i00000000000000002-2000000
χ3722-22-2-22-2-2-2220002-22-20000002i−2i002i−2i2−22−22−22−20000000000000000i2−i2i2−i2
χ3822-22-2-22-2-2-2220002-22-20000002i−2i002i−2i−22−22−22−220000000000000000−i2i2−i2i2
χ3922-22-2-22-2-2-2220002-22-2000000−2i2i00−2i2i2−22−22−22−20000000000000000−i2i2−i2i2
χ4022-22-2-22-2-2-2220002-22-2000000−2i2i00−2i2i−22−22−22−220000000000000000i2−i2i2−i2
χ4122-22-2-22-2-2-222000-22-220000002i−2i00−2i2i2−22−2−22−220000000000000000i2−i2−i2i2
χ4222-22-2-22-2-2-222000-22-220000002i−2i00−2i2i−22−222−22−20000000000000000−i2i2i2−i2
χ4322-22-2-22-2-2-222000-22-22000000−2i2i002i−2i2−22−2−22−220000000000000000−i2i2i2−i2
χ4422-22-2-22-2-2-222000-22-22000000−2i2i002i−2i−22−222−22−20000000000000000i2−i2−i2i2
χ45444-4-44-4-44-44-40040000-44-40000000000000000000000000000000000000
χ46444-4-44-4-4-44-4400400004-4-40000000000000000000000000000000000000
χ4744-44-4-44-444-4-40004-4-440000000000000000000000000000000000000000
χ4844-44-4-44-444-4-4000-444-40000000000000000000000000000000000000000
χ4944-4-44-4-444-4-4400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ5044-4-44-4-444-4-440000000000000000000−2i22i22i2−2i2000000000000000000000000
χ5144-4-44-4-44-444-4000000000000000000000002i2−2i2−2i22i200000000000000000000
χ5244-4-44-4-44-444-400000000000000000000000−2i22i22i2−2i200000000000000000000
χ534-4-4-4444-400004-40000000000000000000000000000000002i−2i2i−2i00000000
χ544-4-4-4444-400004-4000000000000000000000000000000000−2i2i−2i2i00000000
χ554-4-4-4444-40000-440000000000000000000000000000000002i−2i−2i2i00000000
χ564-4-4-4444-40000-44000000000000000000000000000000000−2i2i2i−2i00000000
χ578-8888-8-8-8000000000000000000000000000000000000000000000000000
χ588-88-8-8-888000000000000000000000000000000000000000000000000000
χ598-8-88-88-88000000000000000000000000000000000000000000000000000

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