Finite Group Databasebeta

← Group #272088

Character table — Group #272088

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244444448888888888888888161616161616161616161616161616323232
order12222244444422444442444444444888888444444888888888488
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
χ51111111111111111111-11-1-1-11-1-1-1-1111111-1-1-1-11111-1-1111-1-1-1-11
χ61111111111111111111-11-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1
χ71111111111111111111-11-1-1-11-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-111-1
χ81111111111111111111-11-1-1-11-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-111-1-11
χ9111111111111-1-111-1-111-11-1-1-111-1-111111111-1-111-1-1-1-11-1-111-11-1
χ10111111111111-1-111-1-111-11-1-1-111-1-111-1-1-1-111-1-1-1-111111-1-1-1-11-11
χ11111111111111-1-111-1-111-11-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-111111-11
χ12111111111111-1-111-1-111-11-1-1-111-1-1-1-1-1-1-1-1-1-111111111-111-1-1-11-1
χ13111111111111-1-111-1-11-1-1-111-1-1-111111111-1-11111-1-1111-1-1-1-11-1-1
χ14111111111111-1-111-1-11-1-1-111-1-1-11111-1-1-1-1-1-111-1-111-1-11-1-111-111
χ15111111111111-1-111-1-11-1-1-111-1-1-111-1-1111111-1-1-1-1-1-111-111-1-1-111
χ16111111111111-1-111-1-11-1-1-111-1-1-111-1-1-1-1-1-111-1-11111-1-1-111111-1-1
χ1722222222-22-2222-2-222-22-2-2-2-2-22-222000000000000000000000000
χ1822222222-22-2222-2-222-2-2-2222-2-22-2-2000000000000000000000000
χ1922222222-22-22-2-2-2-2-2-2-222-22222-2-2-2000000000000000000000000
χ2022222222-22-22-2-2-2-2-2-2-2-222-2-22-2222000000000000000000000000
χ212222-2-22-2222-222-2-2-2-220-2000200000022-2-20000002-20000000000
χ222222-2-22-2222-222-2-2-2-220-20002000000-2-222000000-220000000000
χ232222-2-22-2222-2-2-2-2-222202000-200000022-2-2000000-220000000000
χ242222-2-22-2222-2-2-2-2-222202000-2000000-2-2220000002-20000000000
χ252222-2-22-2-22-2-22222-2-2-202000-20000000000000000002i−2i0002i−2i000
χ262222-2-22-2-22-2-22222-2-2-202000-2000000000000000000−2i2i000−2i2i000
χ272222-2-22-2-22-2-2-2-22222-20-200020000000000000000002i−2i000−2i2i000
χ282222-2-22-2-22-2-2-2-22222-20-20002000000000000000000−2i2i0002i−2i000
χ292222-2-2-222-222002-200-220-2000-22002200002-200000000-20000000
χ302222-2-2-222-222002-200-220-2000-2200-2-20000-220000000020000000
χ312222-2-2-222-222002-200-2-2020002-200220000-2200000000-20000000
χ322222-2-2-222-222002-200-2-2020002-200-2-200002-20000000020000000
χ332222-2-2-22-2-2-2200-22002202000-2-200000000002-200000002-200000
χ342222-2-2-22-2-2-2200-22002202000-2-20000000000-220000000-2200000
χ352222-2-2-22-2-2-2200-22002-20-20002200000000002-20000000-2200000
χ362222-2-2-22-2-2-2200-22002-20-2000220000000000-2200000002-200000
χ37444444-4-44-44-400-4400-40000000000000000000000000000000000
χ38444444-4-4-4-4-4-4004-40040000000000000000000000000000000000
χ394-44-40000-4040000000000000000002i2−2i22i2−2i20000002-2000000000000
χ404-44-40000-4040000000000000000002i2−2i2−2i22i2000000-22000000000000
χ414-44-40000-404000000000000000000−2i22i22i2−2i2000000-22000000000000
χ424-44-40000-404000000000000000000−2i22i2−2i22i20000002-2000000000000
χ434-4-444-44-40-40400000000004i−4i00000000000000000000000000000
χ444-4-444-44-40-4040000000000−4i4i00000000000000000000000000000
χ454-4-444-4-44040-44-4004-400000000000000000000000000000000000
χ464-4-444-4-44040-4-4400-4400000000000000000000000000000000000
χ474-4-44-44440-40-40000000000000004-4000000000000000000000000
χ484-4-44-44440-40-4000000000000000-44000000000000000000000000
χ494-4-44-44-4-404044-400-4400000000000000000000000000000000000
χ504-4-44-44-4-40404-44004-400000000000000000000000000000000000
χ5188-8-8000000000000000000000000000004-4000000000000000000
χ5288-8-800000000000000000000000000000-44000000000000000000
χ538-88-8000080-8000000000000000000000000000000000000000000

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