Finite Group Databasebeta

← Group #295942

Character table — Group #295942

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444488888888888888888888888888888888888881616161616163232
order12222222444444444444444444224444444444488888888888888888888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ3111111111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ511111111111111111111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ611111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1
χ711111111111111111111111111-1-1-1-1-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ811111111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ9111111111111-1-1-1-111111-1-1-1-1111-1-111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1111-1
χ10111111111111-1-1-1-111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-111-11
χ11111111111111-1-1-1-111111-1-1-1-1111-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11-1-1-11
χ12111111111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11-1-11-1
χ13111111111111-1-1-1-111111-1-1-1-11-1-11111-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-11-1
χ14111111111111-1-1-1-111111-1-1-1-11-1-11111-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-1-1-11
χ15111111111111-1-1-1-111111-1-1-1-11-1-111-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1111-11
χ16111111111111-1-1-1-111111-1-1-1-11-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11111-1
χ172222222222-2-2222222-2-2-222-2-2-2000022-222000000000000000000000000000000-2-20000
χ182222222222-2-2222222-2-2-222-2-2-20000-2-2-2-2-2000000000000000000000000000000220000
χ192222222222-2-2-2-2-2-222-2-2-2-2-222-20000222-2-2000000000000000000000000000000-220000
χ202222222222-2-2-2-2-2-222-2-2-2-2-222-20000-2-22220000000000000000000000000000002-20000
χ2122222222-2-2222222-2-222-2-2-222-2222200-2000000000000000000000000000000-2-2000000
χ2222222222-2-2222222-2-222-2-2-222-2-2-2-2-200-200000000000000000000000000000022000000
χ2322222222-2-222-2-2-2-2-2-222-222-2-2-222-2-2002000000000000000000000000000000-22000000
χ2422222222-2-222-2-2-2-2-2-222-222-2-2-2-2-2220020000000000000000000000000000002-2000000
χ2522222222-2-2-2-22222-2-2-2-22-2-2-2-2200000020022-2-200000000000000000000000000002-200
χ2622222222-2-2-2-22222-2-2-2-22-2-2-2-22000000200-2-2220000000000000000000000000000-2200
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-20022-2-20000000000000000000000000000-2200
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-200-2-22200000000000000000000000000002-200
χ29222-22-2-2-22-22-200002-22-2-2000020000000002i−2i2i−2i000022-2-22i2i−2i−2i00000000000000000000
χ30222-22-2-2-22-22-200002-22-2-2000020000000002i−2i2i−2i0000-2-222−2i−2i2i2i00000000000000000000
χ31222-22-2-2-22-22-200002-22-2-200002000000000−2i2i−2i2i000022-2-2−2i−2i2i2i00000000000000000000
χ32222-22-2-2-22-22-200002-22-2-200002000000000−2i2i−2i2i0000-2-2222i2i−2i−2i00000000000000000000
χ33222-22-2-2-2-22-220000-22-22-2000020000000002i−2i−2i2i22-2-2000000002i2i−2i−2i0000000000000000
χ34222-22-2-2-2-22-220000-22-22-2000020000000002i−2i−2i2i-2-22200000000−2i−2i2i2i0000000000000000
χ35222-22-2-2-2-22-220000-22-22-200002000000000−2i2i2i−2i22-2-200000000−2i−2i2i2i0000000000000000
χ36222-22-2-2-2-22-220000-22-22-200002000000000−2i2i2i−2i-2-222000000002i2i−2i−2i0000000000000000
χ3722-2-2-222-22-2002i2i−2i−2i-220002i−2i00000002i−2i02-2000000000000i2−i2i2−i22−22−222−2−2i2i2−i2−i200000000
χ3822-2-2-222-22-2002i2i−2i−2i-220002i−2i00000002i−2i02-2000000000000−i2i2−i2i2−22−22−2−222−i2−i2i2i200000000
χ3922-2-2-222-22-2002i2i−2i−2i-220002i−2i0000000−2i2i0-22000000000000i2−i2i2−i22−22−2−2−222−i2−i2i2i200000000
χ4022-2-2-222-22-2002i2i−2i−2i-220002i−2i0000000−2i2i0-22000000000000−i2i2−i2i2−22−2222−2−2i2i2−i2−i200000000
χ4122-2-2-222-22-200−2i−2i2i2i-22000−2i2i00000002i−2i0-22000000000000i2−i2i2−i2−22−2222−2−2−i2−i2i2i200000000
χ4222-2-2-222-22-200−2i−2i2i2i-22000−2i2i00000002i−2i0-22000000000000−i2i2−i2i22−22−2−2−222i2i2−i2−i200000000
χ4322-2-2-222-22-200−2i−2i2i2i-22000−2i2i0000000−2i2i02-2000000000000i2−i2i2−i2−22−22−2−222i2i2−i2−i200000000
χ4422-2-2-222-22-200−2i−2i2i2i-22000−2i2i0000000−2i2i02-2000000000000−i2i2−i2i22−22−222−2−2−i2−i2i2i200000000
χ452-2-2222-2-200-222i−2i2i−2i002-20002i−2i02-22i−2i000000000i2−i2i2−i22−22−200000000i2−i2i2−i22−22−200000000
χ462-2-2222-2-200-222i−2i2i−2i002-20002i−2i02-22i−2i000000000−i2i2−i2i2−22−2200000000−i2i2−i2i2−22−2200000000
χ472-2-2222-2-200-222i−2i2i−2i002-20002i−2i0-22−2i2i000000000i2−i2i2−i22−22−200000000−i2i2−i2i2−22−2200000000
χ482-2-2222-2-200-222i−2i2i−2i002-20002i−2i0-22−2i2i000000000−i2i2−i2i2−22−2200000000i2−i2i2−i22−22−200000000
χ492-2-2222-2-200-22−2i2i−2i2i002-2000−2i2i02-2−2i2i000000000i2−i2i2−i2−22−2200000000i2−i2i2−i2−22−2200000000
χ502-2-2222-2-200-22−2i2i−2i2i002-2000−2i2i02-2−2i2i000000000−i2i2−i2i22−22−200000000−i2i2−i2i22−22−200000000
χ512-2-2222-2-200-22−2i2i−2i2i002-2000−2i2i0-222i−2i000000000i2−i2i2−i2−22−2200000000−i2i2−i2i22−22−200000000
χ522-2-2222-2-200-22−2i2i−2i2i002-2000−2i2i0-222i−2i000000000−i2i2−i2i22−22−200000000i2−i2i2−i2−22−2200000000
χ53444-44-4-4-44-4-4400004-4-4440000-4000000000000000000000000000000000000000000000
χ54444-44-4-4-4-444-40000-444-440000-4000000000000000000000000000000000000000000000
χ5544-44-4-4-4444000000-4-40000000000000000000000000000022−22−222200000000000000000000
χ5644-44-4-4-4444000000-4-400000000000000000000000000000−222222−2200000000000000000000
χ5744-44-4-4-44-4-4000000440000000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ5844-44-4-4-44-4-400000044000000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ5944-4-4-444-4-44004i4i−4i−4i4-4000−4i4i000000000000000000000000000000000000000000000000
χ6044-4-4-444-4-4400−4i−4i4i4i4-40004i−4i000000000000000000000000000000000000000000000000
χ614-44-4-44-4400004-4-440000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ624-44-4-44-4400004-4-44000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ634-44-4-44-440000-444-40000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ644-44-4-44-440000-444-4000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ654-4-4444-4-4004-44i−4i4i−4i00-44000−4i4i0000000000000000000000000000000000000000000000
χ664-4-4444-4-4004-4−4i4i−4i4i00-440004i−4i0000000000000000000000000000000000000000000000
χ674-4-4-44-4440044000000-4-400000000000000000002i2−2i2−2i22i20000000000000000000000000000
χ684-4-4-44-4440044000000-4-40000000000000000000−2i22i22i2−2i20000000000000000000000000000
χ694-4-4-44-44400-4-4000000440000000000000000000000022−22−2222000000000000000000000000
χ704-4-4-44-44400-4-40000004400000000000000000000000−222222−22000000000000000000000000
χ718-888-8-88-8000000000000000000000000000000000000000000000000000000000000000

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