Finite Group Databasebeta

← Group #273235

Character table — Group #273235

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222444444444888888888888888888161616161616161616161616161616163232
order12222244444444444244444444444448888444444888888888828
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-111-111-1-1-1-1-1-1-1-1-1-1111-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-111
χ511111111111111111-11-11-1-11111111111-1-11-1-11-1-11-1-111-1-1-1-1-11-1
χ611111111111111111-11-11-1-111111111-1-1-1-1-1-1-1-111-111-1-111-1-1-1-11
χ711111111111111111-11-11-1-1-1-1-1-1-1-1-1-111111-1-11-1-11-1-1-1-111111-11
χ811111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11111-1-11111-1
χ9111111111-1-11-1-11111-11-1111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ10111111111-1-11-1-11111-11-1111111-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-11-1-111
χ11111111111-1-11-1-11111-11-111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-11111
χ12111111111-1-11-1-11111-11-111-1-1-1-11111-1-1-1-11-1-1111-1-1-11111-111-1-1
χ13111111111-1-11-1-1111-1-1-1-1-1-11111-1-1-1-111-1-1-111-1111-1-111-1-1-111-11
χ14111111111-1-11-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-111-1-111-1111-1
χ15111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-111111111-111-1111-1-1-1-1111-1-11-1
χ16111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-11111-1-11-1-1-11
χ1722222222-2222-2-2-2-2-2020-200000000002200200-200-200000000000
χ1822222222-2222-2-2-2-2-2020-20000000000-2-200-200200200000000000
χ1922222222-2-2-2222-2-2-20-20200000000002200-200200-200000000000
χ2022222222-2-2-2222-2-2-20-2020000000000-2-200200-200200000000000
χ21222222-2-2-200-200-2222020-2-222-2-2000000220000000000000-20000
χ22222222-2-2-200-200-2222020-2-2-2-222000000-2-2000000000000020000
χ23222222-2-2-200-200-222-20-202222-2-2000000-2-2000000000000020000
χ24222222-2-2-200-200-222-20-2022-2-222000000220000000000000-20000
χ252222-2-222222-222-2-220-20-20000000000000000002-202-2000000000
χ262222-2-222222-222-2-220-20-2000000000000000000-220-22000000000
χ272222-2-2222-2-2-2-2-2-2-2202020000000000000000002-20-22000000000
χ282222-2-2222-2-2-2-2-2-2-220202000000000000000000-2202-2000000000
χ292222-2-222-222-2-2-222-22-2-222-200000000000002-2000000000000000
χ302222-2-222-222-2-2-222-2-2-222-220000000000000-22000000000000000
χ312222-2-222-2-2-2-22222-222-2-22-20000000000000-22000000000000000
χ322222-2-222-2-2-2-22222-2-222-2-2200000000000002-2000000000000000
χ332222-2-2-2-2200200-22-220-20-2200002i2i−2i−2i0000000000000000002i−2i00
χ342222-2-2-2-2200200-22-220-20-220000−2i−2i2i2i000000000000000000−2i2i00
χ352222-2-2-2-2200200-22-2-20202-200002i2i−2i−2i000000000000000000−2i2i00
χ362222-2-2-2-2200200-22-2-20202-20000−2i−2i2i2i0000000000000000002i−2i00
χ37444444-4-4400-4004-4-4000000000000000000000000000000000000
χ384444-4-4-4-4-4004004-44000000000000000000000000000000000000
χ3944-4-4-44000000000000000000000000022−222i2−2i2000000000002i−2i00000
χ4044-4-4-44000000000000000000000000022−22−2i22i200000000000−2i2i00000
χ4144-4-4-440000000000000000000000000−22222i2−2i200000000000−2i2i00000
χ4244-4-4-440000000000000000000000000−2222−2i22i2000000000002i−2i00000
χ434-44-4004-400004-40000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ444-44-4004-400004-4000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ454-44-4004-40000-440000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ464-44-4004-40000-44000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ474-44-400-4404i−4i0000000000002i−2i−2i2i2-2-220000000000000000000000
χ484-44-400-4404i−4i000000000000−2i2i2i−2i-222-20000000000000000000000
χ494-44-400-440−4i4i0000000000002i−2i−2i2i-222-20000000000000000000000
χ504-44-400-440−4i4i000000000000−2i2i2i−2i2-2-220000000000000000000000
χ5188-8-88-800000000000000000000000000000000000000000000000
χ528-8-8800000000000000000000000000000000000000002i2−2i20000000
χ538-8-880000000000000000000000000000000000000000−2i22i20000000

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