Finite Group Databasebeta

← Group #249913

Character table — Group #249913

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222444444444888888888888888888161616161616161616161616161616163232
order12222244224444444222224444444448888222444448888888848
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1111-1-1-11-1-1-1-1-1-1-1-1111-1-1
χ3111111111111111111111-1-1111-1111-111-1-1-11-11-1-1-1-11-1-111-1-1-11-1
χ4111111111111111111111-1-1111-1111-1-1-1-1-1-1-11-1-1111-111-1-1-1-1-1-11
χ511111111111111111-1-1-1-1111-1-111-1-1111-1-1111111-1-1111-1-1-1-1-1-1-1
χ611111111111111111-1-1-1-1111-1-111-1-11-1-1-1-11-1-1-11-111-1-1-111-1-1-111
χ711111111111111111-1-1-1-1-1-11-1-1-11-1-1-11111-11-11-1-1111-1-1-1-1111-11
χ811111111111111111-1-1-1-1-1-11-1-1-11-1-1-1-1-111-1-11-1-11-1-1-111111111-1
χ91111111111-1-1-1-1111111111-1-1-11-1-1-1111-1-1-1-1-1-1-1-1-1-1111-1-111-111
χ101111111111-1-1-1-1111111111-1-1-11-1-1-11-1-1-1-1-1111-1111-1-1-11111-1-1-1
χ111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111-11-111111-1-1-1-1-1-111-1
χ121111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-11111-1-11-11
χ131111111111-1-1-1-1111-1-1-1-111-1111-11111111-1-1-1-1-1-11111111-1-11-1-1
χ141111111111-1-1-1-1111-1-1-1-111-1111-1111-1-111-1111-11-1-1-1-1-1-1-1-1-1111
χ151111111111-1-1-1-1111-1-1-1-1-1-1-111-1-111-111-1-11-11-111-1-11-1-11111-1-11
χ161111111111-1-1-1-1111-1-1-1-1-1-1-111-1-111-1-1-1-1-111-111-111-111-1-111-11-1
χ1722222222-2-222-2-22-2-20000002000-200022000-2020000-2000000000
χ1822222222-2-222-2-22-2-20000002000-2000-2-200020-200002000000000
χ1922222222-2-2-2-2222-2-2000000-200020002200020-20000-2000000000
χ2022222222-2-2-2-2222-2-2000000-20002000-2-2000-20200002000000000
χ21222222-2-2-2-20000-22200002-2022-20-2-2200-2-2000000000000000200
χ22222222-2-2-2-20000-22200002-20-2-2-202220022000000000000000-200
χ23222222-2-2-2-20000-2220000-2202220-2-2-20022000000000000000-200
χ24222222-2-2-2-20000-2220000-220-2-22022-200-2-2000000000000000200
χ252222-2-2222-22222-2-22000022-200-2-200-20000-200020000000000000
χ262222-2-2222-22222-2-220000-2-2-2002-200200002000-20000000000000
χ272222-2-2222-2-2-2-2-2-2-22000022200-2200-200002000-20000000000000
χ282222-2-2222-2-2-2-2-2-2-220000-2-2200220020000-200020000000000000
χ292222-2-222-2222-2-2-22-2000000-20002000000000200-20002-20000000
χ302222-2-222-2222-2-2-22-2000000-20002000000000-2002000-220000000
χ312222-2-222-22-2-222-22-20000002000-2000000000200-2000-220000000
χ322222-2-222-22-2-222-22-20000002000-2000000000-20020002-20000000
χ332222-2-2-2-2-2200002-2222-2-22-20002000-2000000000000000002-2000
χ342222-2-2-2-2-2200002-2222-2-2-22000-2000200000000000000000-22000
χ352222-2-2-2-2-2200002-22-2-2222-20002000-200000000000000000-22000
χ362222-2-2-2-2-2200002-22-2-222-22000-20002000000000000000002-2000
χ37444444-4-4440000-4-4-4000000000000000000000000000000000000
χ384444-4-4-4-44-4000044-4000000000000000000000000000000000000
χ3944-4-4004-400004i−4i0002-22-20002i−2i002i−2i00000000000000000000000
χ4044-4-4004-400004i−4i000-22-22000−2i2i00−2i2i00000000000000000000000
χ4144-4-4004-40000−4i4i0002-22-2000−2i2i00−2i2i00000000000000000000000
χ4244-4-4004-40000−4i4i000-22-220002i−2i002i−2i00000000000000000000000
χ4344-4-400-44004i−4i000002-2-220002i−2i00−2i2i00000000000000000000000
χ4444-4-400-44004i−4i00000-222-2000−2i2i002i−2i00000000000000000000000
χ4544-4-400-4400−4i4i000002-2-22000−2i2i002i−2i00000000000000000000000
χ4644-4-400-4400−4i4i00000-222-20002i−2i00−2i2i00000000000000000000000
χ474-4-44-44000000000000000000000000022−2222−220000002-20000000000
χ484-4-44-44000000000000000000000000022−22−2222000000-220000000000
χ494-4-44-440000000000000000000000000−222222−22000000-220000000000
χ504-4-44-440000000000000000000000000−2222−22220000002-20000000000
χ518-88-800000000000000000000000000000000000000000022−2200000
χ528-88-8000000000000000000000000000000000000000000−222200000
χ538-8-888-800000000000000000000000000000000000000000000000

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