Finite Group Databasebeta

← Group #349105

Character table — Group #349105

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222244444444444444444888888888888888888888161616161616161632323232
order12222244444444444448888888888222444444488888888888888888882488
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-11-1-1-1-11-1-1-1111-1-1-1-1-1-11111-1-1-1-111-1-1
χ411111111111111111111111111111-1-1-11-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ61111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ71111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-111-1-1-111111111-1-1-1-1111-1-11
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-111-1-1-1111111-1-11111-1-1-111-1
χ91111111111111-1-11-1-11111111-1-1-1-111-1-111-1-1-1-1-1-11-1-11111-1-11111-1-1-1-1-1-111
χ101111111111111-1-11-1-11111111-1-1-1-111-1-111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1111111-1-1
χ111111111111111-1-11-1-11111111-1-1-1-1-1-11-1-1-111-11111-1-1-1-1-1-11111111111-1-1-1-1
χ121111111111111-1-11-1-11111111-1-1-1-1-1-11-1-1-111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ131111111111111-1-11-1-11-1-1-1-1-1-1111111-1-111-1-1-1-111-111-1-1-1-11111-1-1-1-111-111-1
χ141111111111111-1-11-1-11-1-1-1-1-1-1111111-1-111-1-1-1-111-111-1-1-1-111-1-11111-1-11-1-11
χ151111111111111-1-11-1-11-1-1-1-1-1-11111-1-11-1-1-111-11-1-1-1111111-1-111-1-111-1-1-11-11
χ161111111111111-1-11-1-11-1-1-1-1-1-11111-1-11-1-1-111-11-1-1-1111111-1-1-1-111-1-1111-11-1
χ172222222-222-22-200-200-22222-2-200000020002-20-2-2-2-200000022000000000000
χ182222222-222-22-200-200-22222-2-2000000-2000-220222-2000000-2-2000000000000
χ192222222-222-22-200-200-2-2-2-2-22200000020002-20-2222000000-2-2000000000000
χ202222222-222-22-200-200-2-2-2-2-222000000-2000-2202-2-2200000022000000000000
χ21222222-22-2-22-2-2222-2-2-2000000000000020000-202i−2i0002i2i−2i−2i2i−2i000000000000
χ22222222-22-2-22-2-2222-2-2-2000000000000020000-20−2i2i000−2i−2i2i2i−2i2i000000000000
χ23222222-22-2-22-2-2-2-2222-20000000000000-20000202i−2i000−2i−2i2i2i2i−2i000000000000
χ24222222-22-2-22-2-2-2-2222-20000000000000-2000020−2i2i0002i2i−2i−2i−2i2i000000000000
χ25222222-2-2-2-2-2-2200-20020000002i2i−2i−2i2-2002-200002i−2i02i−2i0000−2i2i000000000000
χ26222222-2-2-2-2-2-2200-20020000002i2i−2i−2i-2200-220000−2i2i02i−2i00002i−2i000000000000
χ27222222-2-2-2-2-2-2200-2002000000−2i−2i2i2i2-2002-20000−2i2i0−2i2i00002i−2i000000000000
χ28222222-2-2-2-2-2-2200-2002000000−2i−2i2i2i-2200-2200002i−2i0−2i2i0000−2i2i000000000000
χ292222-2-222-222-2-222-2-2-22000000000022-2-2-2-2222-200000000000000000000000
χ302222-2-222-222-2-222-2-2-220000000000-2-22-222-2-22200000000000000000000000
χ312222-2-222-222-2-2-2-2-222200000000002222-2-2-2-2-2200000000000000000000000
χ322222-2-222-222-2-2-2-2-22220000000000-2-2-222222-2-200000000000000000000000
χ332222-2-22-2-22-2-2200200-20000002i2i−2i−2i002000-220-2000−2i2i2i−2i2i−2i00000000000000
χ342222-2-22-2-22-2-2200200-20000002i2i−2i−2i00-20002-202000−2i2i−2i2i−2i2i00000000000000
χ352222-2-22-2-22-2-2200200-2000000−2i−2i2i2i002000-220-20002i−2i−2i2i−2i2i00000000000000
χ362222-2-22-2-22-2-2200200-2000000−2i−2i2i2i00-20002-2020002i−2i2i−2i2i−2i00000000000000
χ372222-2-2-222-222222-222-222-2-2222222000-20000-2000-2-2-2000000000000000000
χ382222-2-2-222-222222-222-2-2-222-2-2-2-2-2-2000-20000-2000222000000000000000000
χ392222-2-2-222-2222-2-2-2-2-2-222-2-222-2-2-2-2000200002000-222000000000000000000
χ402222-2-2-222-2222-2-2-2-2-2-2-2-222-2-222220002000020002-2-2000000000000000000
χ412222-2-2-2-22-2-22-200200222-2-2-2-200002-200-220000002002-2-2200000000000000
χ422222-2-2-2-22-2-22-200200222-2-2-2-20000-22002-2000000200-222-200000000000000
χ432222-2-2-2-22-2-22-2002002-2-2222200002-200-22000000-200-222-200000000000000
χ442222-2-2-2-22-2-22-2002002-2-222220000-22002-2000000-2002-2-2200000000000000
χ4544-4-44-4404-40-400000000000000000000000000000000000000000022−22000000
χ4644-4-44-4404-40-4000000000000000000000000000000000000000000−2222000000
χ4744-4-44-4-40-4404000000000000000000000000000000000000000022−2200000000
χ4844-4-44-4-40-44040000000000000000000000000000000000000000−222200000000
χ4944-4-4-4440-4-404000000000000000000000000000000000000002i2−2i20000000000
χ5044-4-4-4440-4-40400000000000000000000000000000000000000−2i22i20000000000
χ5144-4-4-44-40440-4000000000000000000000000000000000000000000002i2−2i20000
χ5244-4-4-44-40440-400000000000000000000000000000000000000000000−2i22i20000
χ534-4-44000400-4004i−4i000022−220022−222i2−2i22i2−2i2000000000000000000000000000000000
χ544-4-44000400-4004i−4i0000−222200−2222−2i22i2−2i22i2000000000000000000000000000000000
χ554-4-44000400-400−4i4i000022−220022−22−2i22i2−2i22i2000000000000000000000000000000000
χ564-4-44000400-400−4i4i0000−222200−22222i2−2i22i2−2i2000000000000000000000000000000000
χ574-4-44000-4004000004-4022−2200−222222−22−2222000000000000000000000000000000000
χ584-4-44000-4004000004-40−22220022−22−222222−22000000000000000000000000000000000
χ594-4-44000-400400000-44022−2200−2222−222222−22000000000000000000000000000000000
χ604-4-44000-400400000-440−22220022−2222−22−2222000000000000000000000000000000000
χ618-88-8000000000000000004i2−4i2000000000000000000000000000000000000000
χ628-88-800000000000000000−4i24i2000000000000000000000000000000000000000

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