Finite Group Databasebeta

← Group #306138

Character table — Group #306138

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444488888888888888888888888822444444444444448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-11-1-1-1-1-11-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-111-11-1-1-1-1-11-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111111-11-1-111-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-111-1-11111-1-1
χ9111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-11-1-1-1-1-111-1-11-1
χ10111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111-1-1-11111-1-1-1-1-1-111-11
χ11111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-111-1-1111111-1-1-11
χ12111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111111-1-1111-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1111-1-1-1-111-1-1-1-111-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111-1111-1-111-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1111-1-1-111-1-1111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-111-1-111-1-11111-1-1-11
χ172222222222-2-2-222-2-2-2000000002222-2-2-2-2000000002200-2-200200000-200000000000
χ182222222222-2-2-222-2-2-2000000002222-2-2-2-200000000-2-2002200-200000200000000000
χ192222222222-2-2-222-2-2-200000000-2-2-2-22222000000002200-2-200-200000200000000000
χ202222222222-2-2-222-2-2-200000000-2-2-2-2222200000000-2-2002200200000-200000000000
χ2122222222-2-2222-2-22-2-22222-2-2-2-20000000000000000002200-2-20-20000020000000000
χ2222222222-2-2222-2-22-2-22222-2-2-2-2000000000000000000-2-200220200000-20000000000
χ2322222222-2-2222-2-22-2-2-2-2-2-222220000000000000000002200220-200000-20000000000
χ2422222222-2-2222-2-22-2-2-2-2-2-22222000000000000000000-2-200-2-2020000020000000000
χ25222-22-2-2-2222-22-2-2-2-2200000000000000002222-2-2-2-22-2002-200000000002-200000000
χ26222-22-2-2-2222-22-2-2-2-2200000000000000002222-2-2-2-2-2200-220000000000-2200000000
χ27222-22-2-2-2222-22-2-2-2-220000000000000000-2-2-2-222222-2002-20000000000-2200000000
χ28222-22-2-2-2222-22-2-2-2-220000000000000000-2-2-2-22222-2200-2200000000002-200000000
χ29222-22-2-2-222-22-2-2-222-222-2-222-2-200000000000000002-200-220000000000002-2000000
χ30222-22-2-2-222-22-2-2-222-222-2-222-2-20000000000000000-22002-2000000000000-22000000
χ31222-22-2-2-222-22-2-2-222-2-2-222-2-22200000000000000002-200-22000000000000-22000000
χ32222-22-2-2-222-22-2-2-222-2-2-222-2-2220000000000000000-22002-20000000000002-2000000
χ33222-22-2-2-2-2-2-22-2222-2222-2-2-2-222000000000000000000000000002i−2i2i−2i000000000000
χ34222-22-2-2-2-2-2-22-2222-2222-2-2-2-22200000000000000000000000000−2i2i−2i2i000000000000
χ35222-22-2-2-2-2-2-22-2222-22-2-22222-2-2000000000000000000000000002i−2i−2i2i000000000000
χ36222-22-2-2-2-2-2-22-2222-22-2-22222-2-200000000000000000000000000−2i2i2i−2i000000000000
χ372-2-222-22-2002-2-20020000002-22-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2002-2002-2000000000000i2−i2i2−i200
χ382-2-222-22-2002-2-20020000002-22-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200-2200-22000000000000−i2i2−i2i200
χ392-2-222-22-2002-2-20020000002-22-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2002-2002-2000000000000−i2i2−i2i200
χ402-2-222-22-2002-2-20020000002-22-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200-2200-22000000000000i2−i2i2−i200
χ412-2-222-22-2002-2-2002000000-22-22i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2002-200-22000000000000i2−i2−i2i200
χ422-2-222-22-2002-2-2002000000-22-22i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200-22002-2000000000000−i2i2i2−i200
χ432-2-222-22-2002-2-2002000000-22-22−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2002-200-22000000000000−i2i2i2−i200
χ442-2-222-22-2002-2-2002000000-22-22−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200-22002-2000000000000i2−i2−i2i200
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ46444-44-4-4-4-4-44-4444-44-400000000000000000000000000000000000000000000000000
χ4744-44-44-4-44-40004-4000000000000000000022−2222−2222−2222−2200000000000000000000000000
χ4844-44-44-4-44-40004-40000000000000000000−2222−2222−2222−222200000000000000000000000000
χ4944-44-44-4-4-44000-44000000000004-44-400000000000000000000000000000000000000
χ5044-44-44-4-4-44000-4400000000000-44-4400000000000000000000000000000000000000
χ5144-4-4-4-4444-4000-44000000000000000000022−2222−22−2222−222200000000000000000000000000
χ5244-4-4-4-4444-4000-440000000000000000000−2222−222222−2222−2200000000000000000000000000
χ5344-4-4-4-444-440004-40000000000000004-44-40000000000000000000000000000000000
χ5444-4-4-4-444-440004-4000000000000000-44-440000000000000000000000000000000000
χ554-444-4-4-44000000000022−2222−2200002i2−2i2−2i22i200002i−2i−2i2i2i−2i−2i2i00000000000000000000000000
χ564-444-4-4-44000000000022−2222−220000−2i22i22i2−2i20000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000
χ574-444-4-4-440000000000−2222−222200002i2−2i2−2i22i20000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000
χ584-444-4-4-440000000000−2222−22220000−2i22i22i2−2i200002i−2i−2i2i2i−2i−2i2i00000000000000000000000000
χ594-44-4-444-4000000000022−22−2222000000002i2−2i2−2i22i22i−2i−2i2i−2i2i2i−2i00000000000000000000000000
χ604-44-4-444-4000000000022−22−222200000000−2i22i22i2−2i2−2i2i2i−2i2i−2i−2i2i00000000000000000000000000
χ614-44-4-444-40000000000−222222−22000000002i2−2i2−2i22i2−2i2i2i−2i2i−2i−2i2i00000000000000000000000000
χ624-44-4-444-40000000000−222222−2200000000−2i22i22i2−2i22i−2i−2i2i−2i2i2i−2i00000000000000000000000000
χ634-4-444-44-400-44400-400000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000000000000000
χ644-4-444-44-400-44400-40000000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000000000000000000000
χ654-4-4-444-440044-400-40000000000000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000
χ664-4-4-444-440044-400-4000000000000000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000
χ674-4-4-444-4400-4-440040000004-4-44000000000000000000000000000000000000000000
χ684-4-4-444-4400-4-44004000000-444-4000000000000000000000000000000000000000000

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