Finite Group Databasebeta

← Group #322140

Character table — Group #322140

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111111122222222444444444444448888888888888888888888888888881616161632323232
order12222222444444444488888888888844444444444488888888888888888824884444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-11-1
χ611111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-11-11
χ711111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-11-11
χ811111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111-11-1
χ9111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ10111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111
χ12111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111111-1-11-1-11
χ17222222222-2-222-2-22-2-22222-2-2-2-200000000000022-2-20000000000000000002-2000000
χ18222222222-2-222-2-22-2-22222-2-2-2-2000000000000-2-222000000000000000000-22000000
χ19222222222-2-222-2-22-2-2-2-2-2-2222200000000000022-2-2000000000000000000-22000000
χ20222222222-2-222-2-22-2-2-2-2-2-22222000000000000-2-2220000000000000000002-2000000
χ2122222222-222-2-222-2-2-200000000222222-2-222-2-20000-2-2000000000000000000000000
χ2222222222-222-2-222-2-2-2000000002222-2-222-2-2220000-2-2000000000000000000000000
χ2322222222-222-2-222-2-2-200000000-2-2-2-222-2-2-2-222000022000000000000000000000000
χ2422222222-222-2-222-2-2-200000000-2-2-2-2-2-22222-2-2000022000000000000000000000000
χ25222-2-2-2-2202-2002-2000i2i2−i2−i2i2i2−i2−i222-2-2002-2002-20000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000
χ26222-2-2-2-2202-2002-2000i2i2−i2−i2i2i2−i2−i222-2-200-2200-220000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000
χ27222-2-2-2-2202-2002-2000i2i2−i2−i2i2i2−i2−i2-2-222002-200-220000000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000
χ28222-2-2-2-2202-2002-2000i2i2−i2−i2i2i2−i2−i2-2-22200-22002-20000000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000
χ29222-2-2-2-2202-2002-2000−i2−i2i2i2−i2−i2i2i222-2-2002-2002-20000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000
χ30222-2-2-2-2202-2002-2000−i2−i2i2i2−i2−i2i2i222-2-200-2200-220000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000
χ31222-2-2-2-2202-2002-2000−i2−i2i2i2−i2−i2i2i2-2-222002-200-220000000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000
χ32222-2-2-2-2202-2002-2000−i2−i2i2i2−i2−i2i2i2-2-22200-22002-20000000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000
χ332-2-222-2-220-22002-2000i2−i2i2−i2i2−i2i2−i22-22-22-2002-2000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000
χ342-2-222-2-220-22002-2000i2−i2i2−i2i2−i2i2−i22-22-2-2200-22000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000
χ352-2-222-2-220-22002-2000i2−i2i2−i2i2−i2i2−i2-22-222-200-22000000000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000
χ362-2-222-2-220-22002-2000i2−i2i2−i2i2−i2i2−i2-22-22-22002-2000000000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000
χ372-2-222-2-220-22002-2000−i2i2−i2i2−i2i2−i2i22-22-22-2002-2000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000
χ382-2-222-2-220-22002-2000−i2i2−i2i2−i2i2−i2i22-22-2-2200-22000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000
χ392-2-222-2-220-22002-2000−i2i2−i2i2−i2i2−i2i2-22-222-200-22000000000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000
χ402-2-222-2-220-22002-2000−i2i2−i2i2−i2i2−i2i2-22-22-22002-2000000000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000
χ412-2-2-2-22222-2-2-2-22222-2000000002-2-220000000000002-200002-2-222-2-22000000000000
χ422-2-2-2-22222-2-2-2-22222-2000000002-2-220000000000002-20000-222-2-222-2000000000000
χ432-2-2-2-22222-2-2-2-22222-200000000-222-2000000000000-2200002-2-22-222-2000000000000
χ442-2-2-2-22222-2-2-2-22222-200000000-222-2000000000000-220000-222-22-2-22000000000000
χ452-2-2-2-2222-22222-2-2-22-22-2-22-222-20000000000000000002i2i−2i−2i000000000000002i−2i0000
χ462-2-2-2-2222-22222-2-2-22-22-2-22-222-2000000000000000000−2i−2i2i2i00000000000000−2i2i0000
χ472-2-2-2-2222-22222-2-2-22-2-222-22-2-220000000000000000002i2i−2i−2i00000000000000−2i2i0000
χ482-2-2-2-2222-22222-2-2-22-2-222-22-2-22000000000000000000−2i−2i2i2i000000000000002i−2i0000
χ492-2-2-2-2222-2-2-22222-2-222-2-222-2-222-2-22000000000000-220000000000002-2-2200000000
χ502-2-2-2-2222-2-2-22222-2-222-2-222-2-22-222-20000000000002-2000000000000-222-200000000
χ512-2-2-2-2222-2-2-22222-2-22-222-2-222-22-2-22000000000000-22000000000000-222-200000000
χ522-2-2-2-2222-2-2-22222-2-22-222-2-222-2-222-20000000000002-20000000000002-2-2200000000
χ5344444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ54444-4-4-4-440-4400-440002i22i2−2i2−2i2−2i2−2i22i22i2000000000000000000000000000000000000000000
χ55444-4-4-4-440-4400-44000−2i2−2i22i22i22i22i2−2i2−2i2000000000000000000000000000000000000000000
χ5644-44-44-4-44004-400-4000000000000000000000000000022−2222−2200000000000000000000
χ5744-44-44-4-44004-400-40000000000000000000000000000−2222−222200000000000000000000
χ5844-44-44-4-4-400-4400400000000000000000000004i−4i0000000000000000000000000000
χ5944-44-44-4-4-400-440040000000000000000000000−4i4i0000000000000000000000000000
χ604-44-444-4-4400-4400-40000000000000000000000004-400000000000000000000000000
χ614-44-444-4-4400-4400-4000000000000000000000000-4400000000000000000000000000
χ624-44-444-4-4-4004-400400000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ634-44-444-4-4-4004-40040000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ644-4-444-4-4404-400-440002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000000000000000
χ654-4-444-4-4404-400-44000−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000000000000000
χ664-4-4-4-4444444-4-4-4-44-4400000000000000000000000000000000000000000000000000
χ6788-8-88-88-8000000000000000000000000000000000000000000000000000000000000
χ688-888-8-88-8000000000000000000000000000000000000000000000000000000000000

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