Finite Group Databasebeta

← Group #263114

Character table — Group #263114

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222244444444444448888888161616161616161616161616161616161616161616161616
order12222244444422444448888884488888222444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-11-1-1-111111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ51111111111111111111-1-1-1-1-1-111-1-1-1-1-11111-11-1-1-11-1-11111-1-1-1-111-1-1
χ61111111111111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111
χ81111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1111-111-1-111-1-11111-1-1
χ9111111111111-1-1-1-1111111111-1-1-1-11-1-111-1-1-1111-11-1-1-1-1-1-1-1-1111111
χ10111111111111-1-1-1-1111111111-1-1-1-11-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1
χ11111111111111-1-1-1-1111111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1
χ12111111111111-1-1-1-1111111111-1-1-1-11-1-1-1-1111-1-1-11-11111-1-1-1-1-1-11111
χ13111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-11111-1-111-1-11111-1-1-1-111-1-111-1-1
χ14111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-11111-1-11-1-1-11-1-1-11111-1-111-1-111
χ15111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-111-1-111-1111-1111-1-111-1-1-1-1-1-111
χ16111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-111-1-111-1-111-1-1-1-111-1-1111111-1-1
χ17222222222-2-222222-2-2-22222-2-2-2-222-2-2-2000000000000000000000000
χ18222222222-2-222222-2-2-2-2-2-2-222-2-2-2-2222000000000000000000000000
χ19222222222-2-22-2-2-2-2-2-2-22222-2-222-2-2-222000000000000000000000000
χ20222222222-2-22-2-2-2-2-2-2-2-2-2-2-22222222-2-2000000000000000000000000
χ212222-2-222-222-222-2-2-2-22000000-2200000000002000-2002-20000000000
χ222222-2-222-222-222-2-2-2-22000000-220000000000-2000200-220000000000
χ232222-2-222-222-2-2-222-2-220000002-200000000002000-200-220000000000
χ242222-2-222-222-2-2-222-2-220000002-20000000000-20002002-20000000000
χ252222-2-222-2-2-2-222-2-222-20000002-20000000000000002i−2i0000002i−2i0000
χ262222-2-222-2-2-2-222-2-222-20000002-2000000000000000−2i2i000000−2i2i0000
χ272222-2-222-2-2-2-2-2-22222-2000000-220000000000000002i−2i000000−2i2i0000
χ282222-2-222-2-2-2-2-2-22222-2000000-22000000000000000−2i2i0000002i−2i0000
χ292222-2-2-2-2222200002-2-222-2-2220000-200002-2-20002000000000000000
χ302222-2-2-2-2222200002-2-222-2-2220000-20000-222000-2000000000000000
χ312222-2-2-2-2222200002-2-2-2-222-2-20000200002-22000-2000000000000000
χ322222-2-2-2-2222200002-2-2-2-222-2-2000020000-22-20002000000000000000
χ332222-2-2-2-22-2-220000-22222-2-2-2-200002002-200002-20000000000000000
χ342222-2-2-2-22-2-220000-22222-2-2-2-20000200-220000-220000000000000000
χ352222-2-2-2-22-2-220000-222-2-222220000-2002-20000-220000000000000000
χ362222-2-2-2-22-2-220000-222-2-222220000-200-2200002-20000000000000000
χ3722-2-2-222-2-20022-22-20002i−2i2i−2i00002i−2i00000000000000000i2−i22−200i2−i22−2
χ3822-2-2-222-2-20022-22-20002i−2i2i−2i00002i−2i00000000000000000−i2i2−2200−i2i2−22
χ3922-2-2-222-2-20022-22-2000−2i2i−2i2i0000−2i2i00000000000000000i2−i2−2200i2−i2−22
χ4022-2-2-222-2-20022-22-2000−2i2i−2i2i0000−2i2i00000000000000000−i2i22−200−i2i22−2
χ4122-2-2-222-2-2002-22-220002i−2i2i−2i0000−2i2i00000000000000000i2−i22−200−i2i2−22
χ4222-2-2-222-2-2002-22-220002i−2i2i−2i0000−2i2i00000000000000000−i2i2−2200i2−i22−2
χ4322-2-2-222-2-2002-22-22000−2i2i−2i2i00002i−2i00000000000000000i2−i2−2200−i2i22−2
χ4422-2-2-222-2-2002-22-22000−2i2i−2i2i00002i−2i00000000000000000−i2i22−200i2−i2−22
χ45444444-4-4-444-40000-44-40000000000000000000000000000000000000
χ46444444-4-4-4-4-4-400004-440000000000000000000000000000000000000
χ4744-4-44-44-4400-44-4-440000000000000000000000000000000000000000
χ4844-4-44-44-4400-4-444-40000000000000000000000000000000000000000
χ4944-4-44-4-44-400400000004i−4i−4i4i000000000000000000000000000000000
χ5044-4-44-4-44-40040000000−4i4i4i−4i000000000000000000000000000000000
χ5144-4-4-44-44400-40000000000000000004i−4i000000000000000000000000
χ5244-4-4-44-44400-4000000000000000000−4i4i000000000000000000000000
χ538-88-800000000000000000004i2−4i20000000000000000000000000000000
χ548-88-80000000000000000000−4i24i20000000000000000000000000000000
χ558-8-88000008-8000000000000000000000000000000000000000000000
χ568-8-8800000-88000000000000000000000000000000000000000000000

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