Finite Group Databasebeta

← Group #273095

Character table — Group #273095

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444442244444448888888822444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-11-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111-1-1111111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1
χ41111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1111-1-1-1-1-11111
χ51111111111111111111111-1-1111-1-11111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-11-1-111111-1-11111-1-1-1-1
χ71111111111111111111111-1-11-1-1-1-1-1-111111111-11-11111-111-11-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1111111111
χ9111111111111-1-11-1-1-1-111111-11111-1-11111-1-1-1-1-1-111111-1-1-1-1-111-1-111-1-1
χ10111111111111-1-11-1-1-1-111111-11111-1-1-1-1-1-11111-1-1111-1-1-111-1-1-1-111-1-111
χ11111111111111-1-11-1-1-1-111111-1-1-111111111-1-1-1-1-11-1-1-1-1-1111-1111-1-1-1-111
χ12111111111111-1-11-1-1-1-111111-1-1-11111-1-1-1-11111-11-1-1-1111-1-1-11-1-11111-1-1
χ13111111111111-1-11-1-1-1-1111-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-11111-1-11111-1-1
χ14111111111111-1-11-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-11111111-1-111-1-1-11111-1-1-1-111
χ15111111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-11-1-111111-1-11-1-1-111-1-111
χ16111111111111-1-11-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-111111-1-111-1-11111-111-1-111-1-1
χ1722222222222222-2-2-2-2-2-2-2-20022200-2-20000000000-200002000000000000
χ1822222222222222-2-2-2-2-2-2-2-2002-2-20022000000000020000-2000000000000
χ19222222222222-2-2-22222-2-2-200-22200220000000000-20000-2000000000000
χ20222222222222-2-2-22222-2-2-200-2-2-200-2-20000000000200002000000000000
χ2122222222-2-2-2-222222-2-2-2-2200-200000000000000020-22000000-200000000
χ2222222222-2-2-2-222222-2-2-2-2200-2000000000000000-202-2000000200000000
χ2322222222-2-2-2-222-2-2-22222-222-200-2-20000000000-20000000002000000000
χ2422222222-2-2-2-222-2-2-22222-2-2-2-2002200000000002000000000-2000000000
χ2522222222-2-2-2-2-2-22-2-222-2-22002000000000000000202-2000000-200000000
χ2622222222-2-2-2-2-2-22-2-222-2-22002000000000000000-20-22000000200000000
χ2722222222-2-2-2-2-2-2-222-2-222-222200-2-200000000002000000000-2000000000
χ2822222222-2-2-2-2-2-2-222-2-222-2-2-2200220000000000-20000000002000000000
χ2922-2-22-2-2222-2-20002-22-20000002-2002-2i2i2−i2−i2i2i2−i2−i20000000000000000i2−i2i2−i2
χ3022-2-22-2-2222-2-20002-22-20000002-2002-2−i2−i2i2i2−i2−i2i2i20000000000000000−i2i2−i2i2
χ3122-2-22-2-2222-2-20002-22-2000000-2200-22i2i2−i2−i2i2i2−i2−i20000000000000000−i2i2−i2i2
χ3222-2-22-2-2222-2-20002-22-2000000-2200-22−i2−i2i2i2−i2−i2i2i20000000000000000i2−i2i2−i2
χ3322-2-22-2-2222-2-2000-22-220000002-200-22i2i2−i2−i2−i2−i2i2i20000000000000000i2−i2−i2i2
χ3422-2-22-2-2222-2-2000-22-220000002-200-22−i2−i2i2i2i2i2−i2−i20000000000000000−i2i2i2−i2
χ3522-2-22-2-2222-2-2000-22-22000000-22002-2i2i2−i2−i2−i2−i2i2i20000000000000000−i2i2i2−i2
χ3622-2-22-2-2222-2-2000-22-22000000-22002-2−i2−i2i2i2i2i2−i2−i20000000000000000i2−i2−i2i2
χ372-22-2-2-2222-22-200200002-2-22-20002-20000002i−2i2i−2i000000000000002i−2i0000
χ382-22-2-2-2222-22-200200002-2-22-20002-2000000−2i2i−2i2i00000000000000−2i2i0000
χ392-22-2-2-2222-22-200200002-2-2-22000-220000002i−2i2i−2i00000000000000−2i2i0000
χ402-22-2-2-2222-22-200200002-2-2-22000-22000000−2i2i−2i2i000000000000002i−2i0000
χ412-22-2-2-222-22-2200-200002-222-2000-22002-22-200000000000000002-2000000
χ422-22-2-2-222-22-2200-200002-222-2000-2200-22-220000000000000000-22000000
χ432-22-2-2-222-22-2200-200002-22-220002-2002-22-20000000000000000-22000000
χ442-22-2-2-222-22-2200-200002-22-220002-200-22-2200000000000000002-2000000
χ4544-44-4-44-400004i−4i0000000000000000000000000000002i−2i02-20000000000
χ4644-44-4-44-400004i−4i000000000000000000000000000000−2i2i0-220000000000
χ4744-44-4-44-40000−4i4i0000000000000000000000000000002i−2i0-220000000000
χ4844-44-4-44-40000−4i4i000000000000000000000000000000−2i2i02-20000000000
χ4944-4-44-4-44-4-4440004-4-440000000000000000000000000000000000000000
χ5044-4-44-4-44-4-444000-444-40000000000000000000000000000000000000000
χ514-44-4-4-4444-44-400-40000-4440000000000000000000000000000000000000
χ524-44-4-4-444-44-440040000-44-40000000000000000000000000000000000000
χ534-4-44-44-444-4-440000000000000000000000022−22−222200000000000000000000
χ544-4-44-44-444-4-4400000000000000000000000−222222−2200000000000000000000
χ554-4-44-44-44-444-400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ564-4-44-44-44-444-40000000000000000000−2i22i22i2−2i2000000000000000000000000
χ57888-8-88-8-8000000000000000000000000000000000000000000000000000
χ588-8888-8-8-8000000000000000000000000000000000000000000000000000
χ598-8-8-8888-8000000000000000000000000000000000000000000000000000

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