Finite Group Databasebeta

← Group #72266164

Character table — Group #72266164

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111122222244888888888888888881616161616161616161616163232323232323232323232323264646464
order1222222222222222222224444444424444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-11-1-111111111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-111111111-111-1-1111111-1-1-1-1-1-1iiii−i−i−i−ii−ii−i
χ611111111111111111-1-1-1-111111111-111-1-1111111-1-1-1-1-1-1−i−i−i−iiiii−ii−ii
χ711111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-111-111iiii−i−i−i−i−ii−ii
χ811111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-111-111−i−i−i−iiiiii−ii−i
χ91111111111111-1-1-1-111111111-1-1-1-1111-1-111-1-1-1-111-1-11-111-1-111-1-111-1-1
χ101111111111111-1-1-1-111111111-1-1-1-1111-1-111-1-1-1-111-1-11-1-1-111-1-111-1-111
χ111111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-111-1-11-11-1-1111-1-111-1-1-1-111
χ121111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-111-1-11-11-1-11-1-111-1-11111-1-1
χ131111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-111-11ii−i−i−i−iiii−i−ii
χ141111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-111-11−i−iiiii−i−i−iii−i
χ151111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-11-111-1ii−i−i−i−iii−iii−i
χ161111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-11-111-1−i−iiiii−i−ii−i−ii
χ1722222222222222222222200000000-2-2-2220000-2-2-200-200000000000000
χ1822222222222222222-2-2-2-2000000002-2-2-2-20000-2-2200200000000000000
χ192222222222222-2-2-2-2222200000000-2-2-2-2-2000022-200200000000000000
χ202222222222222-2-2-2-2-2-2-2-2000000002-2-222000022200-200000000000000
χ212222222222-2-2-200002-22-20000222222-20000-2-200-20200-2000000000000
χ222222222222-2-2-200002-22-20000-2-2-2-222-200002200-20-2002000000000000
χ232222222222-2-2-200002-22-222220000-2-2200-2-200002-20020000000000000
χ242222222222-2-2-200002-22-2-2-2-2-20000-2-22002200002200-20000000000000
χ252222222222-2-2-20000-22-2200002222-22-20000-2-20020-2002000000000000
χ262222222222-2-2-20000-22-220000-2-2-2-2-22-20000220020200-2000000000000
χ272222222222-2-2-20000-22-22222200002-2200-2-20000-2200-20000000000000
χ282222222222-2-2-20000-22-22-2-2-2-200002-2200220000-2-20020000000000000
χ2944444-4-44-4-40000000040-400000000000000000000000002i−2i002i−2i000000
χ3044444-4-44-4-40000000040-40000000000000000000000000−2i2i00−2i2i000000
χ3144444-4-44-4-400000000-40400000000000000000000000002-200-22000000
χ3244444-4-44-4-400000000-4040000000000000000000000000-22002-2000000
χ334444-44-4-44-4000000040-400000000000000000000000000002i−2i002i−2i0000
χ344444-44-4-44-4000000040-40000000000000000000000000000−2i2i00−2i2i0000
χ354444-44-4-44-40000000-40400000000000000000000000000002-200-220000
χ364444-44-4-44-40000000-4040000000000000000000000000000-22002-20000
χ374444-4-44-4-4444-444-4-400000000000000000000000000000000000000000
χ384444-4-44-4-4444-4-4-44400000000000000000000000000000000000000000
χ394444-4-44-4-44-4-4400000000000000000000000004-4000000000000000000
χ404444-4-44-4-44-4-440000000000000000000000000-44000000000000000000
χ4144-4-400400-44-40004-400002i2i−2i−2i2i2i−2i−2i000002i−2i2i−2i00000000000000000000
χ4244-4-400400-44-40004-40000−2i−2i2i2i−2i−2i2i2i00000−2i2i−2i2i00000000000000000000
χ4344-4-400400-44-4000-4400002i2i−2i−2i−2i−2i2i2i000002i−2i−2i2i00000000000000000000
χ4444-4-400400-44-4000-440000−2i−2i2i2i2i2i−2i−2i00000−2i2i2i−2i00000000000000000000
χ4544-4-400400-4-4404-40000002i2i−2i−2i2i2i−2i−2i00000−2i2i−2i2i00000000000000000000
χ4644-4-400400-4-4404-4000000−2i−2i2i2i−2i−2i2i2i000002i−2i2i−2i00000000000000000000
χ4744-4-400400-4-440-440000002i2i−2i−2i−2i−2i2i2i00000−2i2i2i−2i00000000000000000000
χ4844-4-400400-4-440-44000000−2i−2i2i2i2i2i−2i−2i000002i−2i−2i2i00000000000000000000
χ4988-8-800-800800000000000000000000004-4000000000000000000000000
χ5088-8-800-80080000000000000000000000-44000000000000000000000000
χ518-88-80800-80000000000004i−4i4i−4i000000000000000000000000000000000
χ528-88-80800-8000000000000−4i4i−4i4i000000000000000000000000000000000
χ538-88-80-800800000000000000004-44-400000000000000000000000000000
χ548-88-80-80080000000000000000-44-4400000000000000000000000000000
χ558-8-88800-8000000000000000004i−4i−4i4i00000000000000000000000000000
χ568-8-88800-800000000000000000−4i4i4i−4i00000000000000000000000000000
χ578-8-88-800800000000000004-4-44000000000000000000000000000000000
χ588-8-88-80080000000000000-444-4000000000000000000000000000000000

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