Finite Group Databasebeta

← Group #248108

Character table — Group #248108

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222444444444448888888888888816161616161616161616161616161616163232
order12222244444422224444444444444444444442244444448888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-11111111-1-1-1-1-1-11-111-1-111-1-11-1
χ411111111111111111111111-1-111-1-1-1-1111111-11-1-1-1-1-1-11-1-111-1-111-11
χ511111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-1
χ611111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111
χ711111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-11-1-1-11111-111-1-1-1-111-11
χ811111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-11-1-1111-11-1-11111-1-11-1
χ9111111111111-1-1-1-1111111111-1-1111111-1-1-1-111-1-11-1-111-1-1-1-1-1-1-1-111
χ10111111111111-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1
χ11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-11-111-1111-1-1-111-1-1111-1
χ12111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1111-111-1111-1-111-1-1-11
χ13111111111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1111111-1-1-11111-1-1-1-11111-1-1
χ14111111111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-111
χ15111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111-1-111111-1111-1-11-1-1-11111-1-1-11
χ16111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111-1-11111-11111-1-1-1111-1-1-1-1111-1
χ1722222222-2-2220000-22222-2-22200-2-222-2-200000000-200000000000000
χ1822222222-2-2220000-22222-2-2-2-20022-2-2-2-200000000200000000000000
χ1922222222-2-2220000-2-2-2-2-2-2-22200-2-2-2-22200000000200000000000000
χ2022222222-2-2220000-2-2-2-2-2-2-2-2-20022222200000000-200000000000000
χ21222222-2-222-2-2222220000-2-22-2-2-22-200000000002-2000000000000000
χ22222222-2-222-2-2222220000-2-2-22-2-2-220000000000-22000000000000000
χ23222222-2-222-2-2-2-2-2-220000-2-22-2222-20000000000-22000000000000000
χ24222222-2-222-2-2-2-2-2-220000-2-2-2222-2200000000002-2000000000000000
χ25222222-2-2-2-2-2-20000-20000222-200-22000022-2-2000002-2000000000000
χ26222222-2-2-2-2-2-20000-20000222-200-220000-2-22200000-22000000000000
χ27222222-2-2-2-2-2-20000-2000022-22002-2000022-2-200000-22000000000000
χ28222222-2-2-2-2-2-20000-2000022-22002-20000-2-222000002-2000000000000
χ292222-2-22-2222-222-2-2-200002-2002-2000000000002000000-2002-2000000
χ302222-2-22-2222-222-2-2-200002-2002-200000000000-2000000200-22000000
χ312222-2-22-2222-2-2-222-200002-200-22000000000002000000-200-22000000
χ322222-2-22-2222-2-2-222-200002-200-2200000000000-20000002002-2000000
χ332222-2-2-2222-2222-2-2-20000-2200-2200000000002000000-202-200000000
χ342222-2-2-2222-2222-2-2-20000-2200-220000000000-200000020-2200000000
χ352222-2-2-2222-22-2-222-20000-22002-200000000002000000-20-2200000000
χ362222-2-2-2222-22-2-222-20000-22002-20000000000-2000000202-200000000
χ374444-4-44-4-4-44-4000040000-44000000000000000000000000000000000
χ384444-4-4-44-4-4-440000400004-4000000000000000000000000000000000
χ3944-4-400004-400004-4022-2-200000000002-22-22-20000000000000000000
χ4044-4-400004-400004-40-2-2220000000000-22-22-220000000000000000000
χ4144-4-400004-40000-44022-2-200000000002-2-22-220000000000000000000
χ4244-4-400004-40000-440-2-2220000000000-222-22-20000000000000000000
χ4344-4-40000-44004-400022-2-20000000000-222-2-220000000000000000000
χ4444-4-40000-44004-4000-2-22200000000002-2-222-20000000000000000000
χ4544-4-40000-4400-4400022-2-20000000000-22-222-20000000000000000000
χ4644-4-40000-4400-44000-2-22200000000002-22-2-220000000000000000000
χ474-4-444-44400-4-4000004i−4i4i−4i00000000000000000000000000000000000
χ484-4-444-44400-4-400000−4i4i−4i4i00000000000000000000000000000000000
χ494-4-444-4-4-40044000000000000000004-40000000000000000000000000
χ504-4-444-4-4-4004400000000000000000-440000000000000000000000000
χ514-4-44-444-400-44000000000000000000000000000000000000000022−2200
χ524-4-44-444-400-440000000000000000000000000000000000000000−222200
χ534-4-44-44-44004-40000000000000000000000000000000000000022−220000
χ544-4-44-44-44004-400000000000000000000000000000000000000−22220000
χ558-88-800000000000004i−4i−4i4i00000000000000000000000000000000000
χ568-88-80000000000000−4i4i4i−4i00000000000000000000000000000000000

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