Finite Group Databasebeta

← Group #272079

Character table — Group #272079

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244444448888888888888888161616161616161616161616161616323232
order12222244444422444442444444444888888244444888888888488
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
χ51111111111111111111-11-11-1-1-1-1-1-1111111-1-1-1-11111-1-1111-1-1-1-11
χ61111111111111111111-11-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1
χ71111111111111111111-11-11-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-111-1
χ81111111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-111-1-11
χ9111111111111-1-111-1-111-11-11-1-11-1-111111111-1-111-1-1-1-11-1-111-11-1
χ10111111111111-1-111-1-111-11-11-1-11-1-111-1-1-1-111-1-1-1-111111-1-1-1-11-11
χ11111111111111-1-111-1-111-11-11-1-11-1-1-1-11111-1-111-1-1-1-1-1-1-111111-11
χ12111111111111-1-111-1-111-11-11-1-11-1-1-1-1-1-1-1-1-1-111111111-111-1-1-11-1
χ13111111111111-1-111-1-11-1-1-1-1-111-111111111-1-11111-1-1111-1-1-1-11-1-1
χ14111111111111-1-111-1-11-1-1-1-1-111-11111-1-1-1-1-1-111-1-111-1-11-1-111-111
χ15111111111111-1-111-1-11-1-1-1-1-111-111-1-1111111-1-1-1-1-1-111-111-1-1-111
χ16111111111111-1-111-1-11-1-1-1-1-111-111-1-1-1-1-1-111-1-11111-1-1-111111-1-1
χ1722222222-22-2222-2-222-22-2-2-2-2-2-2222000000000000000000000000
χ1822222222-22-2222-2-222-2-2-22-2222-2-2-2000000000000000000000000
χ1922222222-22-22-2-2-2-2-2-2-222-22-2222-2-2000000000000000000000000
χ2022222222-22-22-2-2-2-2-2-2-2-22222-2-2-222000000000000000000000000
χ212222-2-22-2222-222-2-2-2-22020-20000000022-2-20000002-20000000000
χ222222-2-22-2222-222-2-2-2-22020-200000000-2-222000000-220000000000
χ232222-2-22-2222-2-2-2-2-22220-2020000000022-2-2000000-220000000000
χ242222-2-22-2222-2-2-2-2-22220-20200000000-2-2220000002-20000000000
χ252222-2-22-2-22-2-22222-2-2-20-202000000000000000000002i−2i0002i−2i000
χ262222-2-22-2-22-2-22222-2-2-20-20200000000000000000000−2i2i000−2i2i000
χ272222-2-22-2-22-2-2-2-22222-2020-2000000000000000000002i−2i000−2i2i000
χ282222-2-22-2-22-2-2-2-22222-2020-200000000000000000000−2i2i0002i−2i000
χ292222-2-2-222-22200-2200-22020-200-2002200002-200000000-20000000
χ302222-2-2-222-22200-2200-22020-200-200-2-20000-220000000020000000
χ312222-2-2-222-22200-2200-2-20-20200200220000-2200000000-20000000
χ322222-2-2-222-22200-2200-2-20-20200200-2-200002-20000000020000000
χ332222-2-2-22-2-2-22002-200220-20200-200000000002-200000002-200000
χ342222-2-2-22-2-2-22002-200220-20200-20000000000-220000000-2200000
χ352222-2-2-22-2-2-22002-2002-2020-200200000000002-20000000-2200000
χ362222-2-2-22-2-2-22002-2002-2020-20020000000000-2200000002-200000
χ37444444-4-44-44-4004-400-40000000000000000000000000000000000
χ38444444-4-4-4-4-4-400-440040000000000000000000000000000000000
χ3944-4-4000040-400000000000000000022−2222−220000002-2000000000000
χ4044-4-4000040-400000000000000000022−22−2222000000-22000000000000
χ4144-4-4000040-4000000000000000000−222222−22000000-22000000000000
χ4244-4-4000040-4000000000000000000−2222−22220000002-2000000000000
χ434-4-444-4440-40-44-4004-400000000000000000000000000000000000
χ444-4-444-4440-40-4-4400-4400000000000000000000000000000000000
χ454-4-444-4-4-404040000000000000004-4000000000000000000000000
χ464-4-444-4-4-40404000000000000000-44000000000000000000000000
χ474-4-44-444-40-4044-400-4400000000000000000000000000000000000
χ484-4-44-444-40-404-44004-400000000000000000000000000000000000
χ494-4-44-44-44040-40000000000004i−4i000000000000000000000000000
χ504-4-44-44-44040-4000000000000−4i4i000000000000000000000000000
χ5188-8-80000-808000000000000000000000000000000000000000000
χ528-88-8000000000000000000000000000004i−4i000000000000000000
χ538-88-800000000000000000000000000000−4i4i000000000000000000

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