Finite Group Databasebeta

← Group #272581

Character table — Group #272581

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222244444488888888888888816161616161616161616161616161616323232
order12224444442444442244444888888882224448888888888488
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111111-1-11-1-1111-1-1-1-1-111-1-1-1
χ311111111111111111111111-1-111-1-1-1-1111111-1-1-1111-1-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-111-1-1111
χ511111111111111111-11-1-11-111111111-1-1-1-1-1-11-1-111111-1-1-1-11
χ611111111111111111-11-1-11-111-1-11111-111-1111-1-1-1-1-1-1-1-1-111-1
χ711111111111111111-11-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1
χ811111111111111111-11-1-11-1-1-1-1-1-1-1-1-1-111-111-111-1-1-11111-1-11
χ9111111111111-1-111-11-111-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11
χ10111111111111-1-111-11-111-1111-1-1-1-1-1-1-111-1-1-1111-11111-1-1-11-1
χ11111111111111-1-111-11-111-11-1-1111111-1-1-1-111-1-1-11-1-11111-11-1
χ12111111111111-1-111-11-111-11-1-1-1-11111-111-1-1-1-1-1-1-111-1-1111-11
χ13111111111111-1-111-1-1-1-1-1-1-11111-1-1-1-11111-1-11-1-11-1-1-1-111-111
χ14111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11111-1-1-11111111-1-1
χ15111111111111-1-111-1-1-1-1-1-1-1-1-11111111111-1-1-1111-1-111-1-11-1-1
χ16111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-1111-111-111-1-1-1-1-111
χ1722222222-2-2-2-222-2220-200-20220022-2-2000000-2000000000000
χ1822222222-2-2-2-222-2220-200-20-2-200-2-2220000002000000000000
χ1922222222-2-2-2-2-2-2-22-20200202200-2-222000000-2000000000000
χ2022222222-2-2-2-2-2-2-22-2020020-2-20022-2-20000002000000000000
χ2122222-22-222-2-2222-2-2222-2-2-200000000-2002000000000000000
χ2222222-22-222-2-2222-2-2-22-22-2200000000200-2000000000000000
χ2322222-22-222-2-2-2-22-222-22-22-200000000200-2000000000000000
χ2422222-22-222-2-2-2-22-22-2-2-222200000000-2002000000000000000
χ2522222-22-2-2-22222-2-2-20-200200000000000000002i−2i000002i−2i000
χ2622222-22-2-2-22222-2-2-20-20020000000000000000−2i2i00000−2i2i000
χ2722222-22-2-2-222-2-2-2-220200-200000000000000002i−2i00000−2i2i000
χ2822222-22-2-2-222-2-2-2-220200-20000000000000000−2i2i000002i−2i000
χ292222-22-2222-2200-2-2020-220-20022000000002-2000-2000000000
χ302222-22-2222-2200-2-2020-220-200-2-200000000-220002000000000
χ312222-22-2222-2200-2-20-202-202002200000000-22000-2000000000
χ322222-22-2222-2200-2-20-202-20200-2-2000000002-20002000000000
χ332222-2-2-2-2222-200-22020-2-2020000000002-200000002-20000000
χ342222-2-2-2-2222-200-22020-2-202000000000-220000000-220000000
χ352222-2-2-2-2222-200-220-20220-20000000002-20000000-220000000
χ362222-2-2-2-2222-200-220-20220-2000000000-2200000002-20000000
χ374444-44-44-4-44-4004-40000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4400440000000000000000000000000000000000
χ3944-4-4-404000004i−4i00000000022−22002i2−2i2000000000000000000000
χ4044-4-4-404000004i−4i000000000−222200−2i22i2000000000000000000000
χ4144-4-4-40400000−4i4i00000000022−2200−2i22i2000000000000000000000
χ4244-4-4-40400000−4i4i000000000−2222002i2−2i2000000000000000000000
χ434-44-4040-40000000000000000022−22002i2−2i20000000000002i−2i00000
χ444-44-4040-40000000000000000022−2200−2i22i2000000000000−2i2i00000
χ454-44-4040-400000000000000000−2222002i2−2i2000000000000−2i2i00000
χ464-44-4040-400000000000000000−222200−2i22i20000000000002i−2i00000
χ4788-8-880-80000000000000000000000000000000000000000000
χ488-88-80-808000000000000000000000000000000000000000000
χ498-8-8800008-80000000000000000000000000000000000000000
χ508-8-880000-880000000000000000000000000000000000000000

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