Finite Group Databasebeta

← Group #335138

Character table — Group #335138

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888822248888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-111111-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1111111-1-1-1-111111111-1-1-11-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1111
χ51111111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-111-111-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-11111111-1
χ9111111111111111111-1-1-1-1111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111
χ10111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1111-1-1
χ11111111111111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-11111-111
χ13111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-11111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1111-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-11-1
χ17222222222-222-2-22-2-2-22222000022-2-200002200-2-200000000000000-20000000000
χ18222222222-222-2-22-2-2-222220000-2-2220000-2-200-2-20000000000000020000000000
χ19222222222-222-2-22-2-2-2-2-2-2-2000022-2-20000-2-200220000000000000020000000000
χ20222222222-222-2-22-2-2-2-2-2-2-20000-2-222000022002200000000000000-20000000000
χ2122222222-22-2-222-22-2-200002222000022-2-200-2-200-2-200000000000000020000000
χ2222222222-22-2-222-22-2-2000022220000-2-222002200-2-2000000000000000-20000000
χ2322222222-22-2-222-22-2-20000-2-2-2-2000022-2-200220022000000000000000-20000000
χ2422222222-22-2-222-22-2-20000-2-2-2-20000-2-22200-2-2002200000000000000020000000
χ25222-2-22-2-2-202-20020002i2i−2i−2i22−2−22-20000002i−2i00002−222−2−20000i2i2−i2−i20000i2−i200000
χ26222-2-22-2-2-202-20020002i2i−2i−2i22−2−2-22000000−2i2i00002−2−2−2220000i2i2−i2−i20000−i2i200000
χ27222-2-22-2-2-202-20020002i2i−2i−2i−2−2222-20000002i−2i0000−22−2−2220000−i2−i2i2i20000−i2i200000
χ28222-2-22-2-2-202-20020002i2i−2i−2i−2−222-22000000−2i2i0000−2222−2−20000−i2−i2i2i20000i2−i200000
χ29222-2-22-2-2-202-2002000−2i−2i2i2i22−2−22-2000000−2i2i00002−222−2−20000−i2−i2i2i20000−i2i200000
χ30222-2-22-2-2-202-2002000−2i−2i2i2i22−2−2-220000002i−2i00002−2−2−2220000−i2−i2i2i20000i2−i200000
χ31222-2-22-2-2-202-2002000−2i−2i2i2i−2−2222-2000000−2i2i0000−22−2−2220000i2i2−i2−i20000i2−i200000
χ32222-2-22-2-2-202-2002000−2i−2i2i2i−2−222-220000002i−2i0000−2222−2−20000i2i2−i2−i20000−i2i200000
χ332-22-22-2-2202002-20-2002−22−22i−2i2i−2i0000002i−2i002-22−2000000i2i2−i2−i2i2−i2i2−i20000002−2000
χ342-22-22-2-2202002-20-2002−22−22i−2i2i−2i000000−2i2i00-222−2000000−i2−i2i2i2i2−i2i2−i2000000−22000
χ352-22-22-2-2202002-20-2002−22−2−2i2i−2i2i0000002i−2i00-222−2000000i2i2−i2−i2−i2i2−i2i2000000−22000
χ362-22-22-2-2202002-20-2002−22−2−2i2i−2i2i000000−2i2i002-22−2000000−i2−i2i2i2−i2i2−i2i20000002−2000
χ372-22-22-2-2202002-20-200−22−222i−2i2i−2i0000002i−2i002-2−22000000−i2−i2i2i2−i2i2−i2i2000000−22000
χ382-22-22-2-2202002-20-200−22−222i−2i2i−2i000000−2i2i00-22−22000000i2i2−i2−i2−i2i2−i2i20000002−2000
χ392-22-22-2-2202002-20-200−22−22−2i2i−2i2i0000002i−2i00-22−22000000−i2−i2i2i2i2−i2i2−i20000002−2000
χ402-22-22-2-2202002-20-200−22−22−2i2i−2i2i000000−2i2i002-2−22000000i2i2−i2−i2i2−i2i2−i2000000−22000
χ412-2-22-22-22-2-22222-2-22-20000000000000000000000002i−2i2i−2i2i−2i2i−2i000002-200000000
χ422-2-22-22-22-2-22222-2-22-20000000000000000000000002i−2i2i−2i−2i2i−2i2i00000-2200000000
χ432-2-22-22-22-2-22222-2-22-2000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000-2200000000
χ442-2-22-22-22-2-22222-2-22-2000000000000000000000000−2i2i−2i2i−2i2i−2i2i000002-200000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-44-4-440-4400-400000002222−22−2200000000000000−222200000000000000000000000
χ47444-4-44-4-440-4400-40000000−22−2222220000000000000022−2200000000000000000000000
χ4844-4-4-4-4440400-440-4000000000000004i−4i000000000000000000000000000000000
χ4944-4-4-4-4440400-440-400000000000000−4i4i000000000000000000000000000000000
χ5044-4-4-4-4440-4004-40400000000000000000000000000000022−22−2222000000000000000
χ5144-4-4-4-4440-4004-404000000000000000000000000000000−222222−22000000000000000
χ524-444-4-44-400000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000-222-200000000000
χ534-444-4-44-400000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000002-2-2200000000000
χ544-444-4-44-40000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000002-2-2200000000000
χ554-444-4-44-40000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000-222-200000000000
χ564-44-44-4-440-400-44040022−2222−220000000000000000−22220000000000000000000000000
χ574-44-44-4-440-400-440400−2222−2222000000000000000022−220000000000000000000000000
χ584-4-44-44-4444-4-4-4-4444-400000000000000000000000000000000000000000000000
χ594-4-44-44-444-4-4-4444-4-4400000000000000000000000000000000000000000000000
χ604-4-44-44-44-4444-4-4-44-4400000000000000000000000000000000000000000000000
χ614-4-4-4444-4404-400-40000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ624-4-4-4444-4404-400-4000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ634-4-4-4444-4-40-4400400000000000004-400000000000000000000000000000000000
χ644-4-4-4444-4-40-440040000000000000-4400000000000000000000000000000000000
χ6588-888-8-8-8000000000000000000000000000000000000000000000000000000000

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