Finite Group Databasebeta

← Group #272087

Character table — Group #272087

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
χ51111111111111111111-11-1-1-1-11-1-1-1111111-1-1-1-11111-1-1111-1-1-1-11
χ61111111111111111111-11-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1
χ71111111111111111111-11-1-1-1-11-1-1-1-1-111111111-1-111-1-1-1-1-1-1-111-1
χ81111111111111111111-11-1-1-1-11-1-1-1-1-1-1-1-1-1111111-1-111-1-1-111-1-11
χ9111111111111-1-11-1-1111-111-1-1-11-1-111111111-1-111-1-1-1-11-1-111-11-1
χ10111111111111-1-11-1-1111-111-1-1-11-1-111-1-1-1-111-1-1-1-111111-1-1-1-11-11
χ11111111111111-1-11-1-1111-111-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-1-111111-11
χ12111111111111-1-11-1-1111-111-1-1-11-1-1-1-1-1-1-1-1-1-111111111-111-1-1-11-1
χ13111111111111-1-11-1-111-1-1-1-111-1-111111111-1-11111-1-1111-1-1-1-11-1-1
χ14111111111111-1-11-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-11-1-111-111
χ15111111111111-1-11-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-111-1-1-111
χ16111111111111-1-11-1-111-1-1-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-111111-1-1
χ1722222222-22-2222-222-2-22-2-2222-2-2-2-2000000000000000000000000
χ1822222222-22-2222-222-2-2-2-22-2-2-2-2222000000000000000000000000
χ1922222222-22-22-2-2-2-2-2-2-222-22-2-22-222000000000000000000000000
χ2022222222-22-22-2-2-2-2-2-2-2-222-22222-2-2000000000000000000000000
χ212222-2-22-2222-222-2-2-2-22020000-20000022-2-20000002-20000000000
χ222222-2-22-2222-222-2-2-2-22020000-200000-2-222000000-220000000000
χ232222-2-22-2222-2-2-2-222-220-2000020000022-2-2000000-220000000000
χ242222-2-22-2222-2-2-2-222-220-20000200000-2-2220000002-20000000000
χ252222-2-22-2-22-2-2222-2-22-20-200002000000000000000002i−2i0002i−2i000
χ262222-2-22-2-22-2-2222-2-22-20-20000200000000000000000−2i2i000−2i2i000
χ272222-2-22-2-22-2-2-2-22222-2020000-2000000000000000002i−2i000−2i2i000
χ282222-2-22-2-22-2-2-2-22222-2020000-200000000000000000−2i2i0002i−2i000
χ292222-2-2-222-22200-2002-2202-2000-2002200002-200000000-20000000
χ302222-2-2-222-22200-2002-2202-2000-200-2-20000-220000000020000000
χ312222-2-2-222-22200-2002-2-20-22000200220000-2200000000-20000000
χ322222-2-2-222-22200-2002-2-20-22000200-2-200002-20000000020000000
χ332222-2-2-22-2-2-2200200-2220-2-2000200000000002-200000002-200000
χ342222-2-2-22-2-2-2200200-2220-2-200020000000000-220000000-2200000
χ352222-2-2-22-2-2-2200200-22-2022000-200000000002-20000000-2200000
χ362222-2-2-22-2-2-2200200-22-2022000-20000000000-2200000002-200000
χ37444444-4-44-44-400400-4-40000000000000000000000000000000000
χ38444444-4-4-4-4-4-400-400440000000000000000000000000000000000
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
χ434-44-44-44-40-4040000000000000004i−4i000000000000000000000000
χ444-44-44-44-40-404000000000000000−4i4i000000000000000000000000
χ454-44-44-4-44040-44-404-4000000000000000000000000000000000000
χ464-44-44-4-44040-4-440-44000000000000000000000000000000000000
χ474-44-4-44440-40-4000000000004-40000000000000000000000000000
χ484-44-4-44440-40-400000000000-440000000000000000000000000000
χ494-44-4-44-4-404044-40-44000000000000000000000000000000000000
χ504-44-4-44-4-40404-4404-4000000000000000000000000000000000000
χ5188-8-80000-808000000000000000000000000000000000000000000
χ528-8-88000000000000000000000000000004i−4i000000000000000000
χ538-8-8800000000000000000000000000000−4i4i000000000000000000

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