Finite Group Databasebeta

← Group #268729

Character table — Group #268729

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222224444448888888888888888888161616161616161616161616161616163232
order12224444442444442224444444488888888244444888888888828
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-11-1-111111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1
χ511111111111111111-1-11-1-11111111-1-111-1-11-1-1-11-1-11-1111-1-111-1-1
χ611111111111111111-1-11-1-111111-1-111-1-111-11-1-1-111-11-1-1-11111-1-1
χ711111111111111111-1-11-1-11-1-1-1-111-1-1-1-111-11-1-1-11-1-11111-1-1-1-111
χ811111111111111111-1-11-1-11-1-1-1-1-1-11111-1-11-1-1-11-111-1-1-1-111-1-111
χ9111111111111-1-111-111-111-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11
χ10111111111111-1-111-111-111-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-11
χ11111111111111-1-111-111-111-1-1-1-1-11111-1-1-1-111-1-1111-1-11-1-1-1-1111-1
χ12111111111111-1-111-111-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-11111111-1
χ13111111111111-1-111-1-1-1-1-1-1-1111111-1-111-1-1-1111-11-11-11-1-111-1-11-1
χ14111111111111-1-111-1-1-1-1-1-1-11111-1-111-1-1111-1111-11-11-111-1-1-1-11-1
χ15111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1111-1-1-111-1-11111-11
χ16111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1111-1-111-1-111-11
χ17222222-222-2-2-200-220220-2-20000022-2-20000000000200-200000000
χ18222222-222-2-2-200-220220-2-200000-2-2220000000000-200200000000
χ19222222-222-2-2-200-220-2-20220000022220000000000-200-200000000
χ20222222-222-2-2-200-220-2-202200000-2-2-2-20000000000200200000000
χ2122222-222-22-2-2222-2200-200-20000000022002000-200-20000000000
χ2222222-222-22-2-2222-2200-200-200000000-2-200-200020020000000000
χ2322222-222-22-2-2-2-22-2-2002002000000002200-2000200-20000000000
χ2422222-222-22-2-2-2-22-2-200200200000000-2-2002000-20020000000000
χ252222-222-222-2222-2-2-200200-200000000002202000-200-2000000000
χ262222-222-222-2222-2-2-200200-20000000000-2-20-20002002000000000
χ272222-222-222-22-2-2-2-2200-20020000000000220-2000200-2000000000
χ282222-222-222-22-2-2-2-2200-20020000000000-2-202000-2002000000000
χ292222-2-22-2-222-222-22-22-2-22-22000000000000002-200000000000000
χ302222-2-22-2-222-222-22-2-22-2-22200000000000000-2200000000000000
χ312222-2-22-2-222-2-2-2-2222-222-2-200000000000000-2200000000000000
χ322222-2-22-2-222-2-2-2-222-222-22-2000000000000002-200000000000000
χ332222-2-2-2-2-2-2-22002202-20-22000000000000000000000002i−2i2i−2i0000
χ342222-2-2-2-2-2-2-22002202-20-2200000000000000000000000−2i2i−2i2i0000
χ352222-2-2-2-2-2-2-2200220-2202-2000000000000000000000002i−2i−2i2i0000
χ362222-2-2-2-2-2-2-2200220-2202-200000000000000000000000−2i2i2i−2i0000
χ3744444-4-44-4-44400-4-40000000000000000000000000000000000000
χ384444-44-4-44-44-4004-40000000000000000000000000000000000000
χ3944-4-4-40040000000000000002i2i−2i−2i2i2−2i20022−2200000000000000000000
χ4044-4-4-40040000000000000002i2i−2i−2i−2i22i200−222200000000000000000000
χ4144-4-4-4004000000000000000−2i−2i2i2i2i2−2i200−222200000000000000000000
χ4244-4-4-4004000000000000000−2i−2i2i2i−2i22i20022−2200000000000000000000
χ434-44-400400-4004i−4i0000000002i−2i2i−2i00000000000000000000002-200
χ444-44-400400-4004i−4i000000000−2i2i−2i2i0000000000000000000000-2200
χ454-44-400400-400−4i4i0000000002i−2i2i−2i0000000000000000000000-2200
χ464-44-400400-400−4i4i000000000−2i2i−2i2i00000000000000000000002-200
χ474-4-440-4004000000000000002-2-220022−220022−22000000000000000000
χ484-4-440-4004000000000000002-2-2200−222200−2222000000000000000000
χ494-4-440-400400000000000000-222-20022−2200−2222000000000000000000
χ504-4-440-400400000000000000-222-200−22220022−22000000000000000000
χ5188-8-8800-8000000000000000000000000000000000000000000000
χ528-88-800-80080000000000000000000000000000000000000000000
χ538-8-880800-800000000000000000000000000000000000000000000

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