Finite Group Databasebeta

← Group #336833

Character table — Group #336833

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888224444444444888888888888888824448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-111111111-11-1-1-1-111-1-1-1
χ311111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-111111-1-1-111-1-1-1-1-1
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
χ51111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ61111111111111111111111-1-1-1-1111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-1111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-111-1-111-1-11
χ9111111111111111111-1-1-1-1111111-1-111111111-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-11-11
χ10111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-11-1
χ11111111111111111111-1-1-1-11111-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1
χ12111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111111-11
χ13111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-111-111
χ14111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-111-1-1-111
χ1722222222222-2-2-2-22-2-20000222200000022-2-22200-2-2000000000000-20000000000
χ1822222222222-2-2-2-22-2-200002222000000-2-222-2-200-2-200000000000020000000000
χ1922222222222-2-2-2-22-2-20000-2-2-2-20000002222-2-20022000000000000-20000000000
χ2022222222222-2-2-2-22-2-20000-2-2-2-2000000-2-2-2-222002200000000000020000000000
χ2122222222-2-2-22222-2-2-2222200002222-2-2000000-2-2000000000000000-2000000000
χ2222222222-2-2-22222-2-2-222220000-2-2-2-222000000-2-20000000000000002000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-2000022-2-2-2-2000000220000000000000002000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-20000-2-2222200000022000000000000000-2000000000
χ25222-22-2-2-22-2-2000020022−2−222-2-20000002i−2i002i−2i2−200i2i2−i2−i2000022−2−20000i2−i200000
χ26222-22-2-2-22-2-2000020022−2−222-2-2000000−2i2i00−2i2i2−200−i2−i2i2i2000022−2−20000−i2i200000
χ27222-22-2-2-22-2-2000020022−2−2-2-2220000002i−2i00−2i2i2−200−i2−i2i2i20000−2−2220000i2−i200000
χ28222-22-2-2-22-2-2000020022−2−2-2-222000000−2i2i002i−2i2−200i2i2−i2−i20000−2−2220000−i2i200000
χ29222-22-2-2-22-2-20000200−2−22222-2-20000002i−2i002i−2i−2200−i2−i2i2i20000−2−2220000−i2i200000
χ30222-22-2-2-22-2-20000200−2−22222-2-2000000−2i2i00−2i2i−2200i2i2−i2−i20000−2−2220000i2−i200000
χ31222-22-2-2-22-2-20000200−2−222-2-2220000002i−2i00−2i2i−2200i2i2−i2−i2000022−2−20000−i2i200000
χ32222-22-2-2-22-2-20000200−2−222-2-222000000−2i2i002i−2i−2200−i2−i2i2i2000022−2−20000i2−i200000
χ3322-22-2-2-220002-22-20002-22-2i2−i2i2−i22-22-20000000000i2−i20000i2i2−i2−i2i2−i2i2−i2000000i2−i2000
χ3422-22-2-2-220002-22-20002-22-2i2−i2i2−i2-22-220000000000i2−i20000−i2−i2i2i2i2−i2i2−i2000000−i2i2000
χ3522-22-2-2-220002-22-20002-22-2−i2i2−i2i22-22-20000000000−i2i20000−i2−i2i2i2−i2i2−i2i2000000−i2i2000
χ3622-22-2-2-220002-22-20002-22-2−i2i2−i2i2-22-220000000000−i2i20000i2i2−i2−i2−i2i2−i2i2000000i2−i2000
χ3722-22-2-2-220002-22-2000-22-22i2−i2i2−i22-2-220000000000i2−i20000i2i2−i2−i2−i2i2−i2i2000000−i2i2000
χ3822-22-2-2-220002-22-2000-22-22i2−i2i2−i2-222-20000000000i2−i20000−i2−i2i2i2−i2i2−i2i2000000i2−i2000
χ3922-22-2-2-220002-22-2000-22-22−i2i2−i2i22-2-220000000000−i2i20000−i2−i2i2i2i2−i2i2−i2000000i2−i2000
χ4022-22-2-2-220002-22-2000-22-22−i2i2−i2i2-222-20000000000−i2i20000i2i2−i2−i2i2−i2i2−i2000000−i2i2000
χ412-222-22-2-2-2-2222-2-222-20000000000000000000000002i−2i2i−2i2-22-20000002i−2i0000000
χ422-222-22-2-2-2-2222-2-222-20000000000000000000000002i−2i2i−2i-22-22000000−2i2i0000000
χ432-222-22-2-2-2-2222-2-222-2000000000000000000000000−2i2i−2i2i2-22-2000000−2i2i0000000
χ442-222-22-2-2-2-2222-2-222-2000000000000000000000000−2i2i−2i2i-22-220000002i−2i0000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-44-4-4-4-4440000-4002222−22−220000000000000000−22220000000000000000000000000
χ47444-44-4-4-4-4440000-400−22−222222000000000000000022−220000000000000000000000000
χ4844-44-4-4-44000-44-4400000002i2−2i22i2−2i200000000000000−2i22i200000000000000000000000
χ4944-44-4-4-44000-44-440000000−2i22i2−2i22i2000000000000002i2−2i200000000000000000000000
χ5044-4-4-444-4000000000022−22−22222i2−2i2−2i22i20000000000000000000000002i−2i−2i2i00000000000
χ5144-4-4-444-4000000000022−22−2222−2i22i22i2−2i2000000000000000000000000−2i2i2i−2i00000000000
χ5244-4-4-444-40000000000−222222−222i2−2i2−2i22i2000000000000000000000000−2i2i2i−2i00000000000
χ5344-4-4-444-40000000000−222222−22−2i22i22i2−2i20000000000000000000000002i−2i−2i2i00000000000
χ544-444-44-4-444-444-4-4-4-4400000000000000000000000000000000000000000000000
χ554-444-44-4-444-4-4-444-44-400000000000000000000000000000000000000000000000
χ564-444-44-4-4-4-44-4-4444-4400000000000000000000000000000000000000000000000
χ574-44-4-4-4444-440000-40000000000000000004i−4i00000000000000000000000000000
χ584-44-4-4-4444-440000-4000000000000000000−4i4i00000000000000000000000000000
χ594-44-4-4-444-44-4000040000000000000000000000000022−22−22220000000000000000000
χ604-44-4-4-444-44-40000400000000000000000000000000−222222−220000000000000000000
χ614-4-444-44-40004-4-4400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ624-4-444-44-40004-4-440000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ634-4-444-44-4000-444-40000000000000004i−4i000000000000000000000000000000000
χ644-4-444-44-4000-444-4000000000000000−4i4i000000000000000000000000000000000
χ658-8-8-888-88000000000000000000000000000000000000000000000000000000000

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