Finite Group Databasebeta

← Group #272083

Character table — Group #272083

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244444448888888888888888161616161616161616161616161616323232
order12222244444422444442444444444888888444444888888888288
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1
χ311111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-111-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111
χ51111111111111111111-1-1-1-11-1-1-11-1111111-1-1-1-11111-1-1111-1-1-1-11
χ61111111111111111111-1-1-1-11-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1
χ71111111111111111111-1-1-1-11-1-1-11-1-1-111111111-1-111-1-1-1-1-1-1-111-1
χ81111111111111111111-1-1-1-11-1-1-11-1-1-1-1-1-1-1111111-1-111-1-1-111-1-11
χ9111111111111-1-1-1-111111-1-1-11-1-1-1111111111-1-111-1-1-1-11-1-111-11-1
χ10111111111111-1-1-1-111111-1-1-11-1-1-1111-1-1-1-111-1-1-1-111111-1-1-1-11-11
χ11111111111111-1-1-1-111111-1-1-11-1-1-11-1-11111-1-111-1-1-1-1-1-1-111111-11
χ12111111111111-1-1-1-111111-1-1-11-1-1-11-1-1-1-1-1-1-1-111111111-111-1-1-11-1
χ13111111111111-1-1-1-1111-1-111-1-111-1-1111111-1-11111-1-1111-1-1-1-11-1-1
χ14111111111111-1-1-1-1111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-11-1-111-111
χ15111111111111-1-1-1-1111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111-111-1-1-111
χ16111111111111-1-1-1-1111-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-111111-1-1
χ1722222222-22-222222-2-2-22222-2-2-2-2-2-2000000000000000000000000
χ1822222222-22-222222-2-2-2-2-2-2-2-2222-22000000000000000000000000
χ1922222222-22-22-2-2-2-2-2-2-222-2-22-2222-2000000000000000000000000
χ2022222222-22-22-2-2-2-2-2-2-2-2-22222-2-222000000000000000000000000
χ212222-2-22-2222-222-2-2-2-220000-2000200022-2-20000002-20000000000
χ222222-2-22-2222-222-2-2-2-220000-20002000-2-222000000-220000000000
χ232222-2-22-2222-2-2-222-2-2200002000-200022-2-2000000-220000000000
χ242222-2-22-2222-2-2-222-2-2200002000-2000-2-2220000002-20000000000
χ252222-2-22-2-22-2-222-2-222-200002000-20000000000000002i−2i0002i−2i000
χ262222-2-22-2-22-2-222-2-222-200002000-2000000000000000−2i2i000−2i2i000
χ272222-2-22-2-22-2-2-2-22222-20000-200020000000000000002i−2i000−2i2i000
χ282222-2-22-2-22-2-2-2-22222-20000-20002000000000000000−2i2i0002i−2i000
χ292222-2-2-222-22200002-2-22-2000-200022200002-200000000-20000000
χ302222-2-2-222-22200002-2-22-2000-20002-2-20000-220000000020000000
χ312222-2-2-222-22200002-2-2-220002000-2220000-2200000000-20000000
χ322222-2-2-222-22200002-2-2-220002000-2-2-200002-20000000020000000
χ332222-2-2-22-2-2-220000-2222-20002000-2000000002-200000002-200000
χ342222-2-2-22-2-2-220000-2222-20002000-200000000-220000000-2200000
χ352222-2-2-22-2-2-220000-222-22000-20002000000002-20000000-2200000
χ362222-2-2-22-2-2-220000-222-22000-2000200000000-2200000002-200000
χ37444444-4-44-44-40000-44-40000000000000000000000000000000000
χ38444444-4-4-4-4-4-400004-440000000000000000000000000000000000
χ3944-4-44-44-40-40400000000000004i−4i00000000000000000000000000
χ4044-4-44-44-40-4040000000000000−4i4i00000000000000000000000000
χ4144-4-44-4-44040-44-44-40000000000000000000000000000000000000
χ4244-4-44-4-44040-4-44-440000000000000000000000000000000000000
χ4344-4-4-44440-40-40000000004-4000000000000000000000000000000
χ4444-4-4-44440-40-4000000000-44000000000000000000000000000000
χ4544-4-4-44-4-404044-4-440000000000000000000000000000000000000
χ4644-4-4-44-4-40404-444-40000000000000000000000000000000000000
χ474-4-44000040-40000000000000000002i2−2i222−220000002i−2i000000000000
χ484-4-44000040-40000000000000000002i2−2i2−2222000000−2i2i000000000000
χ494-4-44000040-4000000000000000000−2i22i222−22000000−2i2i000000000000
χ504-4-44000040-4000000000000000000−2i22i2−22220000002i−2i000000000000
χ518-88-8000000000000000000000000000004i−4i000000000000000000
χ528-88-800000000000000000000000000000−4i4i000000000000000000
χ538-8-880000-808000000000000000000000000000000000000000000

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