Finite Group Databasebeta

← Group #72256066

Character table — Group #72256066

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55
size1122244448888888888888161616161616161616161616161616163232323232323232323232323232646464
order1222222222222244444444222244444444444444444444444444448
χ11111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-111-111111-1-1-1-11-11111-1-1-1-1-1-1-1-11-1-1
χ31111111111111111111-1-11-1-1-111-1111-1-1-1111111-1-1111111-1-1-1-1-1-1-1
χ41111111111111111111-1-11-1-1-1-11-1-111-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-111
χ511111111111111111-1-11111111-11111111-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-111
χ611111111111111111-1-1111111-1-11-1111111111-1-1-1-1-1-1-1-1111111-1-1-1
χ711111111111111111-1-1-1-11-1-1-11-1-1111-1-1-1-1-1-1-1-1111-1-111-1-111111-1-1
χ811111111111111111-1-1-1-11-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-111-1-1-1-1111
χ9111111111-1-11111-1-11111111-111-11-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11
χ10111111111-1-11111-1-11111111-1-11-1-1-1-11-1-111111-111-1-111-1-1-1-111-11-1
χ11111111111-1-11111-1-111-1-11-1-111111-1-1-111-1-1-1-111-1-1-1-1-1-111-1-11111-1
χ12111111111-1-11111-1-111-1-11-1-11-111-1-1-1-11111111-1-1-1-1-111-1-111-1-11-11
χ13111111111-1-11111-1-1-1-111111-11-1-11-1-11-1-11111-11-1-111-1-1-1-1-1-1111-11
χ14111111111-1-11111-1-1-1-111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-111-1
χ15111111111-1-11111-1-1-1-1-1-11-1-111-111-1-1-1111111-111111-1-1-1-111-1-1-11-1
χ16111111111-1-11111-1-1-1-1-1-11-1-11-1-11-1-1-1-111-1-1-1-1-1-111111111-1-111-1-11
χ172222222222-22-2-2-22-22200-200002002-20000000-20002-200000000000
χ182222222222-22-2-2-22-2-2-200-20000-2002-200000002000-2200000000000
χ19222222222-222-2-2-2-222200-20000200-220000000-2000-2200000000000
χ20222222222-222-2-2-2-22-2-200-20000-200-22000000020002-200000000000
χ212222222-2-200-2-2-220000222-2-200000002002i2i−2i−2i0000000000002i−2i000
χ222222222-2-200-2-2-220000222-2-20000000200−2i−2i2i2i000000000000−2i2i000
χ232222222-2-200-2-2-220000-2-22220000000-2002i2i−2i−2i000000000000−2i2i000
χ242222222-2-200-2-2-220000-2-22220000000-200−2i−2i2i2i0000000000002i−2i000
χ2522222-2-22222-2-222220000-20000000-2-20002-22-2000000002-20000000
χ2622222-2-22222-2-222220000-20000000-2-2000-22-2200000000-220000000
χ2722222-2-2222-2-22-2-22-2000020002002-2200000000-200002-2000000000
χ2822222-2-2222-2-22-2-22-200002000-200-2-220000000020000-22000000000
χ2922222-2-222-22-22-2-2-220000200020022-200000000-20000-22000000000
χ3022222-2-222-22-22-2-2-2200002000-200-22-200000000200002-2000000000
χ3122222-2-222-2-2-2-222-2-20000-20000000220002-22-200000000-220000000
χ3222222-2-222-2-2-2-222-2-20000-2000000022000-22-22000000002-20000000
χ3322222-2-2-2-20022-22000000-20020020000-2-22i−2i−2i2i00000000002i−2i00000
χ3422222-2-2-2-20022-22000000-20020020000-2-2−2i2i2i−2i0000000000−2i2i00000
χ3522222-2-2-2-20022-22000000-200-200-20000222i−2i−2i2i0000000000−2i2i00000
χ3622222-2-2-2-20022-22000000-200-200-2000022−2i2i2i−2i00000000002i−2i00000
χ374444444-4-400-444-4000000-4000000000000000000000000000000000
χ3844444-4-4-4-4004-44-40000004000000000000000000000000000000000
χ3944-4-44004-40400000-4002202-2200-2000-22-2000000000000000000000
χ4044-4-44004-40400000-400-2-20-22-20020002-22000000000000000000000
χ4144-4-44004-40-4000004002202-2-2002000-2-22000000000000000000000
χ4244-4-44004-40-400000400-2-20-22200-200022-2000000000000000000000
χ4344-4-4400-44400000-4000220-22200-2000-2-22000000000000000000000
χ4444-4-4400-44400000-4000-2-202-2-200200022-2000000000000000000000
χ4544-4-4400-44-4000004000220-22-2002000-22-2000000000000000000000
χ4644-4-4400-44-4000004000-2-202-2200-20002-22000000000000000000000
χ47888-8-800000000000000000000400-400000000000000000000000000
χ48888-8-800000000000000000000-400400000000000000000000000000
χ4988-88-8000000000000440000000-40000000000000000000000000000
χ5088-88-8000000000000-4-4000000040000000000000000000000000000
χ518-80004-400000000004i−4i4-400000000000000000002i−2i0000000000000
χ528-80004-400000000004i−4i-440000000000000000000−2i2i0000000000000
χ538-80004-40000000000−4i4i4-40000000000000000000−2i2i0000000000000
χ548-80004-40000000000−4i4i-4400000000000000000002i−2i0000000000000
χ5516-16000-88000000000000000000000000000000000000000000000000

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