Finite Group Databasebeta

← Group #335685

Character table — Group #335685

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888224444444444888888888888888824448888244
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-111111111-11-1-1-1-111-1-1-1
χ311111111111111111111111111-1-11111-1-111-1-111111111-1-1-1-111111-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-11111-1-1111111-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-11
χ61111111111111111111111-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-111-11-1
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-111111-11
χ9111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-111
χ10111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-11-1-1
χ11111111111111111111-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-11111-111
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-11111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-111-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-11
χ17222222222-2-22-222-2-2-222220000220000-2-2002200-2-20000000000000-2000000000
χ18222222222-2-22-222-2-2-222220000-2-200002200-2-200-2-200000000000002000000000
χ19222222222-2-22-222-2-2-2-2-2-2-20000220000-2-200-2-2002200000000000002000000000
χ20222222222-2-22-222-2-2-2-2-2-2-20000-2-2000022002200220000000000000-2000000000
χ2122222222-222-22-2-22-2-2000022220022-2-200-2-200-2-20000000000000020000000000
χ2222222222-222-22-2-22-2-20000222200-2-222002200-2-200000000000000-20000000000
χ2322222222-222-22-2-22-2-20000-2-2-2-200222200-2-2002200000000000000-20000000000
χ2422222222-222-22-2-22-2-20000-2-2-2-200-2-2-2-2002200220000000000000020000000000
χ25222-22-2-2-2200-20-220002i2i−2i−2ii2i2−i2−i22-2000000002i−2ii2−i2000000i2i2−i2−i222−2−20000002−2000
χ26222-22-2-2-2200-20-220002i2i−2i−2ii2i2−i2−i2-2200000000−2i2ii2−i2000000−i2−i2i2i222−2−2000000−22000
χ27222-22-2-2-2200-20-220002i2i−2i−2i−i2−i2i2i22-2000000002i−2i−i2i2000000−i2−i2i2i2−2−222000000−22000
χ28222-22-2-2-2200-20-220002i2i−2i−2i−i2−i2i2i2-2200000000−2i2i−i2i2000000i2i2−i2−i2−2−2220000002−2000
χ29222-22-2-2-2200-20-22000−2i−2i2i2ii2i2−i2−i22-200000000−2i2ii2−i2000000i2i2−i2−i2−2−222000000−22000
χ30222-22-2-2-2200-20-22000−2i−2i2i2ii2i2−i2−i2-22000000002i−2ii2−i2000000−i2−i2i2i2−2−2220000002−2000
χ31222-22-2-2-2200-20-22000−2i−2i2i2i−i2−i2i2i22-200000000−2i2i−i2i2000000−i2−i2i2i222−2−20000002−2000
χ32222-22-2-2-2200-20-22000−2i−2i2i2i−i2−i2i2i2-22000000002i−2i−i2i2000000i2i2−i2−i222−2−2000000−22000
χ3322-2-2-2-22202-20200-2002−22−22i−2i2i−2i00002i−2i002-200002−222−2−20000i2−i2i2−i20000i2−i200000
χ3422-2-2-2-22202-20200-2002−22−22i−2i2i−2i0000−2i2i00-2200002−2−2−2220000i2−i2i2−i20000−i2i200000
χ3522-2-2-2-22202-20200-2002−22−2−2i2i−2i2i00002i−2i00-2200002−2−2−2220000−i2i2−i2i20000i2−i200000
χ3622-2-2-2-22202-20200-2002−22−2−2i2i−2i2i0000−2i2i002-200002−222−2−20000−i2i2−i2i20000−i2i200000
χ3722-2-2-2-22202-20200-200−22−222i−2i2i−2i00002i−2i002-20000−22−2−2220000−i2i2−i2i20000−i2i200000
χ3822-2-2-2-22202-20200-200−22−222i−2i2i−2i0000−2i2i00-220000−2222−2−20000−i2i2−i2i20000i2−i200000
χ3922-2-2-2-22202-20200-200−22−22−2i2i−2i2i00002i−2i00-220000−2222−2−20000i2−i2i2−i20000−i2i200000
χ4022-2-2-2-22202-20200-200−22−22−2i2i−2i2i0000−2i2i002-20000−22−2−2220000i2−i2i2−i20000i2−i200000
χ412-222-2-22-2-2222-2-22-2-220000000000000000000000002-22-22i−2i2i−2i0000002i−2i0000000
χ422-222-2-22-2-2222-2-22-2-220000000000000000000000002-22-2−2i2i−2i2i000000−2i2i0000000
χ432-222-2-22-2-2222-2-22-2-22000000000000000000000000-22-222i−2i2i−2i000000−2i2i0000000
χ442-222-2-22-2-2222-2-22-2-22000000000000000000000000-22-22−2i2i−2i2i0000002i−2i0000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-44-4-4-4-400404-400000002i22i2−2i2−2i2000000000000−2i22i20000000000000000000000000
χ47444-44-4-4-4-400404-40000000−2i2−2i22i22i20000000000002i2−2i20000000000000000000000000
χ4844-44-44-4-400000000002i2−2i2−2i22i222−22−2222000000000000000000000000−2i2i2i−2i00000000000
χ4944-44-44-4-400000000002i2−2i2−2i22i2−222222−220000000000000000000000002i−2i−2i2i00000000000
χ5044-44-44-4-40000000000−2i22i22i2−2i222−22−22220000000000000000000000002i−2i−2i2i00000000000
χ5144-44-44-4-40000000000−2i22i22i2−2i2−222222−22000000000000000000000000−2i2i2i−2i00000000000
χ5244-4-4-4-4440-440-40040022−2222−22000000000000000000−222200000000000000000000000
χ5344-4-4-4-4440-440-400400−2222−222200000000000000000022−2200000000000000000000000
χ544-444-4-44-4444-4-44-4-44-400000000000000000000000000000000000000000000000
χ554-444-4-44-44-4-4-444-44-4400000000000000000000000000000000000000000000000
χ564-444-4-44-4-4-4-444-4444-400000000000000000000000000000000000000000000000
χ574-44-4-44-4440040-4-4000000000000000004i−4i0000000000000000000000000000000
χ584-44-4-44-4440040-4-400000000000000000−4i4i0000000000000000000000000000000
χ594-44-4-44-44-400-4044000000000000000000000000000000022−22−2222000000000000000
χ604-44-4-44-44-400-40440000000000000000000000000000000−222222−22000000000000000
χ614-4-4-4444-404-40-40040000000000000000000000000022−22−22220000000000000000000
χ624-4-4-4444-404-40-400400000000000000000000000000−222222−220000000000000000000
χ634-4-4-4444-40-440400-40000000000004i−4i00000000000000000000000000000000000
χ644-4-4-4444-40-440400-4000000000000−4i4i00000000000000000000000000000000000
χ658-8-888-8-88000000000000000000000000000000000000000000000000000000000

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