Finite Group Databasebeta

← Group #301206

Character table — Group #301206

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488882222224444448888888888888822444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ311111111111111111111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ411111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-11111-1-1-1-1
χ51111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-111
χ9111111111111111111-1-1-1-111-1-111111111-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-11-1
χ10111111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1-111-1-1-11
χ11111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-111111-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-11111-1-111-11
χ13111111111111111111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-11
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-111111-1-1-1-11-1
χ15111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-111-1-111-11
χ16111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-11-1-1-1-111111-1
χ17222222222-2-22-2-222-2-22222222200000000-2-200000000000000-2-20000000000
χ18222222222-2-22-2-222-2-22222-2-2-2-200000000-2-200000000000000220000000000
χ19222222222-2-22-2-222-2-2-2-2-2-222-2-2000000002200000000000000-220000000000
χ20222222222-2-22-2-222-2-2-2-2-2-2-2-2220000000022000000000000002-20000000000
χ2122222222-222-222-2-2-2-2000000002222-2-2-2-20022-2-20000000000000000000000
χ2222222222-222-222-2-2-2-20000000022-2-222-2-200-2-2220000000000000000000000
χ2322222222-222-222-2-2-2-200000000-2-222-2-22200-2-2220000000000000000000000
χ2422222222-222-222-2-2-2-200000000-2-2-2-222220022-2-20000000000000000000000
χ25222-2-2-22-2200-200-220022-2-22-22-20000000000i2−i2i2−i20000i2i2−i2−i2000000i2−i2i2−i20000
χ26222-2-2-22-2200-200-220022-2-22-22-20000000000−i2i2−i2i20000−i2−i2i2i2000000−i2i2−i2i20000
χ27222-2-2-22-2200-200-220022-2-2-22-220000000000i2−i2i2−i20000i2i2−i2−i2000000−i2i2−i2i20000
χ28222-2-2-22-2200-200-220022-2-2-22-220000000000−i2i2−i2i20000−i2−i2i2i2000000i2−i2i2−i20000
χ29222-2-2-22-2200-200-2200-2-2222-2-220000000000i2−i2i2−i20000−i2−i2i2i2000000i2−i2−i2i20000
χ30222-2-2-22-2200-200-2200-2-2222-2-220000000000−i2i2−i2i20000i2i2−i2−i2000000−i2i2i2−i20000
χ31222-2-2-22-2200-200-2200-2-222-222-20000000000i2−i2i2−i20000−i2−i2i2i2000000−i2i2i2−i20000
χ32222-2-2-22-2200-200-2200-2-222-222-20000000000−i2i2−i2i20000i2i2−i2−i2000000i2−i2−i2i20000
χ332-2-2-2-22222-2-2-2222-2-22000000002-200002-200000022-2-22-22-200000000000000
χ342-2-2-2-22222-2-2-2222-2-22000000002-200002-2000000-2-222-22-2200000000000000
χ352-2-2-2-22222-2-2-2222-2-2200000000-220000-2200000022-2-2-22-2200000000000000
χ362-2-2-2-22222-2-2-2222-2-2200000000-220000-22000000-2-2222-22-200000000000000
χ372-2-2-2-2222-2222-2-2-22-222-22-20000000000002-20000000000002-2002-200000000
χ382-2-2-2-2222-2222-2-2-22-222-22-20000000000002-2000000000000-2200-2200000000
χ392-2-2-2-2222-2222-2-2-22-22-22-22000000000000-220000000000002-200-2200000000
χ402-2-2-2-2222-2222-2-2-22-22-22-22000000000000-22000000000000-22002-200000000
χ412-2-2-2-2222-2-2-2222-222-22-22-200002-20000-22-2200000000000000000000002-200
χ422-2-2-2-2222-2-2-2222-222-22-22-20000-2200002-2-220000000000000000000000-2200
χ432-2-2-2-2222-2-2-2222-222-2-22-2200002-20000-222-20000000000000000000000-2200
χ442-2-2-2-2222-2-2-2222-222-2-22-220000-2200002-22-200000000000000000000002-200
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ46444-4-4-44-4-4004004-4000000000000000000002i2−2i2−2i22i20000000000000000000000
χ47444-4-4-44-4-4004004-400000000000000000000−2i22i22i2−2i20000000000000000000000
χ4844-44-44-4-404-404-4000000000000000000000000002i2−2i22i2−2i2000000000000000000
χ4944-44-44-4-404-404-400000000000000000000000000−2i22i2−2i22i2000000000000000000
χ5044-44-44-4-40-440-4400000000000000004i−4i000000000000000000000000000000
χ5144-44-44-4-40-440-440000000000000000−4i4i000000000000000000000000000000
χ524-44-444-4-404-40-44000000000000004i−4i00000000000000000000000000000000
χ534-44-444-4-404-40-4400000000000000−4i4i00000000000000000000000000000000
χ544-44-444-4-40-4404-4000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ554-44-444-4-40-4404-400000000000000000000000000−2i22i22i2−2i2000000000000000000
χ564-4-444-44-4400400-4-400000000000000000000000000002i2−2i2−2i22i200000000000000
χ574-4-444-44-4400400-4-40000000000000000000000000000−2i22i22i2−2i200000000000000
χ584-4-444-44-4-400-40044004-4-440000000000000000000000000000000000000000
χ594-4-444-44-4-400-4004400-444-40000000000000000000000000000000000000000
χ604-4-4-4-4444444-4-4-44-44-400000000000000000000000000000000000000000000
χ6188-8-88-8-88000000000000000000000000000000000000000000000000000000
χ628-888-8-8-88000000000000000000000000000000000000000000000000000000

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