Finite Group Databasebeta

← Group #348628

Character table — Group #348628

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222244444444444444444488888888888888888888816161616323232323232
order12224444442444444488888888882222444444888888888888888248888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-11111-1-111-1-1
χ411111111111111111111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ6111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-11111111111-1-1-111-1-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-111111111-1-1111-1-111-1
χ9111111111111-1-11-1-11111111-1-1-1-1-111-1-1-111-1-11-1-1-1-11111-1-1111111-1-1-1-1
χ10111111111111-1-11-1-11111111-1-1-1-1-111-1-1-111-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111
χ11111111111111-1-11-1-11111111-1-1-1-1-1-1-111-1-1-1111-1-111-1-1-1-1111111-1-1-1-111
χ12111111111111-1-11-1-11111111-1-1-1-1-1-1-111-1-1-1111-1-111-1-1-1-111-1-1-1-11111-1-1
χ13111111111111-1-11-1-11-1-1-1-1-1-11111-111-1-1-111-1-1-11111-1-1-1-11111-1-11-1-11-11
χ14111111111111-1-11-1-11-1-1-1-1-1-11111-111-1-1-111-1-1-11111-1-1-1-111-1-111-111-11-1
χ15111111111111-1-11-1-11-1-1-1-1-1-11111-1-1-111-1-1-111-111-1-11111-1-111-1-1-11-111-1
χ16111111111111-1-11-1-11-1-1-1-1-1-11111-1-1-111-1-1-111-111-1-11111-1-1-1-1111-11-1-11
χ1722222222-2-2-2-222-2-2-220000000000-222222-2-2-2-2000000000000000000000
χ1822222222-2-2-2-222-2-2-220000000000-2-2-2-2-222222000000000000000000000
χ1922222222-2-2-2-2-2-2-22220000000000222-2-2-2-2-222000000000000000000000
χ2022222222-2-2-2-2-2-2-222200000000002-2-222-222-2-2000000000000000000000
χ21222222-2-222-2-222222-22222-2-22222-20000-20000-2-2-2000000000000000000
χ22222222-2-222-2-222222-2-2-2-2-222-2-2-2-2-20000-20000222000000000000000000
χ23222222-2-222-2-2-2-22-2-2-22222-2-2-2-2-2-22000020000-222000000000000000000
χ24222222-2-222-2-2-2-22-2-2-2-2-2-2-222222220000200002-2-2000000000000000000
χ25222222-2-2-2-22222-2-2-2-2000000000020000-200000002i−2i2i2i−2i−2i2i−2i0000000000
χ26222222-2-2-2-22222-2-2-2-2000000000020000-20000000−2i2i−2i−2i2i2i−2i2i0000000000
χ27222222-2-2-2-222-2-2-222-20000000000-20000200000002i−2i−2i−2i2i2i2i−2i0000000000
χ28222222-2-2-2-222-2-2-222-20000000000-2000020000000−2i2i2i2i−2i−2i−2i2i0000000000
χ292222-2-22222-2200-200-222-2-22200000002-20002-2-200-2-20000220000000000
χ302222-2-22222-2200-200-222-2-2220000000-22000-22-200220000-2-20000000000
χ312222-2-22222-2200-200-2-2-222-2-200000002-20002-2200220000-2-20000000000
χ322222-2-22222-2200-200-2-2-222-2-20000000-22000-22200-2-20000220000000000
χ332222-2-222-2-22-200200-20000002i2i−2i−2i0002-2000-2202i−2i002i−2i2i−2i000000000000
χ342222-2-222-2-22-200200-20000002i2i−2i−2i000-220002-202i−2i00−2i2i−2i2i000000000000
χ352222-2-222-2-22-200200-2000000−2i−2i2i2i0002-2000-220−2i2i00−2i2i−2i2i000000000000
χ362222-2-222-2-22-200200-2000000−2i−2i2i2i000-220002-20−2i2i002i−2i2i−2i000000000000
χ372222-2-2-2-2222-200-200222-2-2-2-2000002-20002-200200002-2-22000000000000
χ382222-2-2-2-2222-200-200222-2-2-2-200000-22000-220020000-222-2000000000000
χ392222-2-2-2-2222-200-2002-2-22222000002-20002-200-20000-222-2000000000000
χ402222-2-2-2-2222-200-2002-2-2222200000-22000-2200-200002-2-22000000000000
χ412222-2-2-2-2-2-2-220020020000002i2i−2i−2i02-2000-22000−2i2i−2i2i00002i−2i0000000000
χ422222-2-2-2-2-2-2-220020020000002i2i−2i−2i0-220002-2000−2i2i2i−2i0000−2i2i0000000000
χ432222-2-2-2-2-2-2-22002002000000−2i−2i2i2i02-2000-220002i−2i2i−2i0000−2i2i0000000000
χ442222-2-2-2-2-2-2-22002002000000−2i−2i2i2i0-220002-20002i−2i−2i2i00002i−2i0000000000
χ4544-4-44-40000000004i−4i02i2−2i22i2−2i20022−2222−220000000000000000000000000000000
χ4644-4-44-40000000004i−4i0−2i22i2−2i22i200−2222−22220000000000000000000000000000000
χ4744-4-44-4000000000−4i4i02i2−2i22i2−2i200−2222−22220000000000000000000000000000000
χ4844-4-44-4000000000−4i4i0−2i22i2−2i22i20022−2222−220000000000000000000000000000000
χ4944-4-4-440000004-400002i2−2i2−2i22i2002i2−2i2−2i22i20000000000000000000000000000000
χ5044-4-4-440000004-40000−2i22i22i2−2i200−2i22i22i2−2i20000000000000000000000000000000
χ5144-4-4-44000000-4400002i2−2i2−2i22i200−2i22i22i2−2i20000000000000000000000000000000
χ5244-4-4-44000000-440000−2i22i22i2−2i2002i2−2i2−2i22i20000000000000000000000000000000
χ534-44-400004-40000000000004i−4i00000000000000000000000002-22i−2i000000
χ544-44-400004-40000000000004i−4i0000000000000000000000000-22−2i2i000000
χ554-44-400004-4000000000000−4i4i00000000000000000000000002-2−2i2i000000
χ564-44-400004-4000000000000−4i4i0000000000000000000000000-222i−2i000000
χ578-88-80000-880000000000000000000000000000000000000000000000000
χ588-8-88008-8000000000000000000000000000000000000000000000000000
χ598-8-8800-88000000000000000000000000000000000000000000000000000

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