Finite Group Databasebeta

← Group #285040

Character table — Group #285040

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244444448888888888888888161616161616161616161616161616323232
order12222244444422444444488888888888888222244448888888488
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1111-11-1-1-1-1-1-1-1111-1-1-1
χ311111111111111111111111111111-1-11111-1-1-11-11-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111
χ5111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-11-11111-1-11
χ6111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-11-1-11-11-111111-1
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-11111111-11-1-1-1-11-11-1-1-111-1
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1-1-1-11
χ9111111111111-1-11-1-111-1-11111-1-1-1-11111111-1-1-11-1111-11-11-1-1-11-1
χ10111111111111-1-11-1-111-1-11111-1-1-1-111-1-1-1-11-1-1111-1-1-11-111-1-11-11
χ11111111111111-1-11-1-111-1-11111-1-1-1-1-1-11111-111-1-1-1-1-11-11-1-1111-11
χ12111111111111-1-11-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1111-11-11-111-11-1
χ13111111111111-1-11-1-111-1-1-1-1-1-11111111111-1111-1111-1-1-1-11-1-11-1-1
χ14111111111111-1-11-1-111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1-111111-1-1-111
χ15111111111111-1-11-1-111-1-1-1-1-1-11111-1-111111-1-1111-1-1-1-1-1-1-111-111
χ16111111111111-1-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-11-1111111-1111-1-1
χ1722222222-22-2222-222-2-2-2-20000000000000000020-20020-20000000
χ1822222222-22-2222-222-2-2-2-200000000000000000-20200-2020000000
χ1922222222-22-22-2-2-2-2-2-2-2220000000000000000020-200-2020000000
χ2022222222-22-22-2-2-2-2-2-2-22200000000000000000-2020020-20000000
χ21222222-2-2-2-2-2-200-20022002i−2i2i−2i000000000002-200000000002i−2i000
χ22222222-2-2-2-2-2-200-20022002i−2i2i−2i00000000000-220000000000−2i2i000
χ23222222-2-2-2-2-2-200-2002200−2i2i−2i2i000000000002-20000000000−2i2i000
χ24222222-2-2-2-2-2-200-2002200−2i2i−2i2i00000000000-2200000000002i−2i000
χ252222-2-22-22-22200-2002-20022-2-20000220000-200020000000-200000
χ262222-2-22-22-22200-2002-20022-2-20000-2-200002000-20000000200000
χ272222-2-22-22-22200-2002-200-2-22200002200002000-20000000-200000
χ282222-2-22-22-22200-2002-200-2-2220000-2-20000-200020000000200000
χ292222-2-2-22222-222-2-2-2-222-2000000000022-2-200000000020-2000000
χ302222-2-2-22222-222-2-2-2-222-20000000000-2-222000000000-202000000
χ312222-2-2-22222-2-2-2-222-22-22000000000022-2-2000000000-202000000
χ322222-2-2-22222-2-2-2-222-22-220000000000-2-22200000000020-2000000
χ332222-2-2-22-22-2-2222-2-22-2-222i−2i−2i2i2i2i−2i−2i000000000000000000000000
χ342222-2-2-22-22-2-2222-2-22-2-22−2i2i2i−2i−2i−2i2i2i000000000000000000000000
χ352222-2-2-22-22-2-2-2-22222-22-22i−2i−2i2i−2i−2i2i2i000000000000000000000000
χ362222-2-2-22-22-2-2-2-22222-22-2−2i2i2i−2i2i2i−2i−2i000000000000000000000000
χ37444444-4-44-44-400400-4-40000000000000000000000000000000000
χ384444-4-44-4-4-4-4400400-440000000000000000000000000000000000
χ3944-4-4000040-40000000000000000002i2−2i2002i2−2i20000002-20000000000
χ4044-4-4000040-40000000000000000002i2−2i200−2i22i2000000-220000000000
χ4144-4-4000040-4000000000000000000−2i22i2002i2−2i2000000-220000000000
χ4244-4-4000040-4000000000000000000−2i22i200−2i22i20000002-20000000000
χ434-44-44-4440-40-44-404-4000000000000000000000000000000000000
χ444-44-44-4440-40-4-440-44000000000000000000000000000000000000
χ454-44-44-4-4-40404000000000000022−2222−22000000000000000000000000
χ464-44-44-4-4-404040000000000000−2222−2222000000000000000000000000
χ474-44-4-444-4040-400000000000002i2−2i2−2i22i2000000000000000000000000
χ484-44-4-444-4040-40000000000000−2i22i22i2−2i2000000000000000000000000
χ494-44-4-44-440-4044-40-44000000000000000000000000000000000000
χ504-44-4-44-440-404-4404-4000000000000000000000000000000000000
χ5188-8-80000-808000000000000000000000000000000000000000000
χ528-8-880000000000000000000000000004-400000000000000000000
χ538-8-88000000000000000000000000000-4400000000000000000000

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