Finite Group Databasebeta

← Group #306115

Character table — Group #306115

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488882244444444448888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ9111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-11-111-1-1-1-111-1-1-11
χ10111111111111111111-1-1-1-1111111-1-11111-1-111-1-1-1-111-1-1-1-1-11-1-111-1-1-1-1111-1
χ11111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111111-111-1-1-1-1-1-1111-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11111-11-1-111-1-111-1-1-11
χ13111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-111-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1111-1-11111-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-1-1-1111111-1-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1111-1-111-1-111-11
χ172222222222-22-2-2-22-2-2000022-2-22200-2-20000-2-2000022000000000000000000
χ182222222222-22-2-2-22-2-2000022-2-2-2-200220000220000-2-2000000000000000000
χ192222222222-22-2-2-22-2-20000-2-2222200-2-20000220000-2-2000000000000000000
χ202222222222-22-2-2-22-2-20000-2-222-2-200220000-2-2000022000000000000000000
χ2122222222-2-22-2222-2-2-22222000000220022-2-2000000000000-2-2000000000000
χ2222222222-2-22-2222-2-2-22222000000-2-200-2-2-2-200000000000022000000000000
χ2322222222-2-22-2222-2-2-2-2-2-2-20000002200-2-222000000000000-22000000000000
χ2422222222-2-22-2222-2-2-2-2-2-2-2000000-2-20022220000000000002-2000000000000
χ252222-2-2-2-2222-2-22-2-2-2200002-22-200000000000022-2-20022-2-200000000000000
χ262222-2-2-2-2222-2-22-2-2-2200002-22-2000000000000-2-22200-2-22200000000000000
χ272222-2-2-2-2222-2-22-2-2-220000-22-2200000000000022-2-200-2-22200000000000000
χ282222-2-2-2-2222-2-22-2-2-220000-22-22000000000000-2-2220022-2-200000000000000
χ292222-2-2-2-222-2-22-22-22-222-2-22-2-22000000002-20000000000000000002-2000000
χ302222-2-2-2-222-2-22-22-22-222-2-2-222-2000000002-2000000000000000000-22000000
χ312222-2-2-2-222-2-22-22-22-2-2-2222-2-2200000000-22000000000000000000-22000000
χ322222-2-2-2-222-2-22-22-22-2-2-222-222-200000000-220000000000000000002-2000000
χ332222-2-2-2-2-2-2-222-222-2222-2-2000000000000-22000000000000002i−2i2i−2i00000000
χ342222-2-2-2-2-2-2-222-222-2222-2-2000000000000-2200000000000000−2i2i−2i2i00000000
χ352222-2-2-2-2-2-2-222-222-22-2-2220000000000002-2000000000000002i−2i−2i2i00000000
χ362222-2-2-2-2-2-2-222-222-22-2-2220000000000002-200000000000000−2i2i2i−2i00000000
χ372-2-22-222-200-2022-20002i−2i2i−2i0000002-2002i−2i00i2−i20000i2−i22−22−200000000i2−i22−200
χ382-2-22-222-200-2022-20002i−2i2i−2i0000002-2002i−2i00−i2i20000−i2i2−22−2200000000−i2i2−2200
χ392-2-22-222-200-2022-20002i−2i2i−2i000000-2200−2i2i00i2−i20000i2−i22−22−200000000−i2i2−2200
χ402-2-22-222-200-2022-20002i−2i2i−2i000000-2200−2i2i00−i2i20000−i2i2−22−2200000000i2−i22−200
χ412-2-22-222-200-2022-2000−2i2i−2i2i0000002-200−2i2i00i2−i20000i2−i2−22−2200000000i2−i2−2200
χ422-2-22-222-200-2022-2000−2i2i−2i2i0000002-200−2i2i00−i2i20000−i2i22−22−200000000−i2i22−200
χ432-2-22-222-200-2022-2000−2i2i−2i2i000000-22002i−2i00i2−i20000i2−i2−22−2200000000−i2i22−200
χ442-2-22-222-200-2022-2000−2i2i−2i2i000000-22002i−2i00−i2i20000−i2i22−22−200000000i2−i2−2200
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ464444-4-4-4-4-4-444-44-444-400000000000000000000000000000000000000000000
χ4744-4-444-4-44-404000-4000000000000000000000022−2222−2200000000000000000000
χ4844-4-444-4-44-404000-40000000000000000000000−2222−222200000000000000000000
χ4944-4-444-4-4-440-40004000000000000004i−4i000000000000000000000000000000
χ5044-4-444-4-4-440-4000400000000000000−4i4i000000000000000000000000000000
χ5144-4-4-4-4444-40-40004000000000000000000000022−22−222200000000000000000000
χ5244-4-4-4-4444-40-400040000000000000000000000−222222−2200000000000000000000
χ5344-4-4-4-444-4404000-400000000004i−4i0000000000000000000000000000000000
χ5444-4-4-4-444-4404000-40000000000−4i4i0000000000000000000000000000000000
χ554-4-444-4-4400404-4-40004i−4i−4i4i0000000000000000000000000000000000000000
χ564-4-444-4-4400404-4-4000−4i4i4i−4i0000000000000000000000000000000000000000
χ574-4-444-4-4400-40-4440000000000000000000000000000022−22−222200000000000000
χ584-4-444-4-4400-40-44400000000000000000000000000000−222222−2200000000000000
χ594-4-44-444-40040-4-440000000000000000000002i2−2i20000−2i22i2000000000000000000
χ604-4-44-444-40040-4-44000000000000000000000−2i22i200002i2−2i2000000000000000000
χ618-88-88-88-8000000000000000000000000000000000000000000000000000000
χ628-88-8-88-88000000000000000000000000000000000000000000000000000000

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