Finite Group Databasebeta

← Group #72262478

Character table — Group #72262478

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11112222224488888888816161616161616161616161616161616161616161616161632323232323232323264646464
order1222222222222222244442224444444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-1-1-111111-1-11111-1-1-1-1-1-111-1-11-11111-1-1-1-111-1-1
χ611111111111111111-1-1-1-1-1-111111-1-11111-1-1-1-1-1-111-1-11-1-1-1-1-11111-1-111
χ711111111111111111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1111-11111-1-1-1-1-1-111
χ811111111111111111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1111111-1-1
χ91111111111111-1-1-1-11111-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1ii−i−iii−i−ii−ii−i
χ101111111111111-1-1-1-11111-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1−i−iii−i−iii−ii−ii
χ111111111111111-1-1-1-11111-1-1-111-1-1-1-11111111111-1-1-1-1-1-1ii−i−iii−i−i−ii−ii
χ121111111111111-1-1-1-11111-1-1-111-1-1-1-11111111111-1-1-1-1-1-1−i−iii−i−iiii−ii−i
χ131111111111111-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-11111-1-111-1-1-11ii−i−i−i−iiii−i−ii
χ141111111111111-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-11111-1-111-1-1-11−i−iiiii−i−i−iii−i
χ151111111111111-1-1-1-1-1-1-1-111-111-1-1111111-1-1-1-1-1-1-1-111-11ii−i−i−i−iii−iii−i
χ161111111111111-1-1-1-1-1-1-1-111-111-1-1111111-1-1-1-1-1-1-1-111-11−i−iiiii−i−ii−i−ii
χ1722222222222222222222222-2-2-2000000000000-2-20000-2-2000000000000
χ1822222222222222222-2-2-2-2-2-2-2-2-2000000000000220000-22000000000000
χ192222222222222-2-2-2-22222-2-22-2-2000000000000-2-2000022000000000000
χ202222222222222-2-2-2-2-2-2-2-2222-2-20000000000002200002-2000000000000
χ212222222222-2-2-22-22-200000022-20022000022-2-20000-2-2-20000000000000
χ222222222222-2-2-22-22-200000022-200-2-20000-2-222000022-20000000000000
χ232222222222-2-2-22-22-2000000-2-22220022-2-2000000-2-20020000000000000
χ242222222222-2-2-22-22-2000000-2-22-2-200-2-222000000220020000000000000
χ252222222222-2-2-2-22-220000002-222200-2-222000000-2-200-20000000000000
χ262222222222-2-2-2-22-220000002-22-2-20022-2-20000002200-20000000000000
χ272222222222-2-2-2-22-22000000-22-200220000-2-2220000-2-220000000000000
χ282222222222-2-2-2-22-22000000-22-200-2-2000022-2-200002220000000000000
χ2944444-4-44-4-4000040-4000000000000000000000000000002i−2i2i−2i00000000
χ3044444-4-44-4-4000040-400000000000000000000000000000−2i2i−2i2i00000000
χ3144444-4-44-4-40000-404000000000000000000000000000002-2-2200000000
χ3244444-4-44-4-40000-40400000000000000000000000000000-222-200000000
χ334444-44-4-44-400040-400000000000000000000000000000000002i−2i2i−2i0000
χ344444-44-4-44-400040-40000000000000000000000000000000000−2i2i−2i2i0000
χ354444-44-4-44-4000-40400000000000000000000000000000000002-2-220000
χ364444-44-4-44-4000-4040000000000000000000000000000000000-222-20000
χ374444-4-44-4-4444-4000044-4-40000000000000000000000000000000000000
χ384444-4-44-4-4444-40000-4-4440000000000000000000000000000000000000
χ394444-4-44-4-44-4-4400000000000000000000000004-4000000000000000000
χ404444-4-44-4-44-4-440000000000000000000000000-44000000000000000000
χ4144-4-400400-44-400000004-40000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ4244-4-400400-44-400000004-4000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ4344-4-400400-44-40000000-440000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ4444-4-400400-44-40000000-44000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ4544-4-400400-4-44000004-4000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ4644-4-400400-4-44000004-400000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ4744-4-400400-4-4400000-44000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ4844-4-400400-4-4400000-4400000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ4988-8-800-8008000000000004-400000000000000000000000000000000000
χ5088-8-800-800800000000000-4400000000000000000000000000000000000
χ518-88-80800-800000000000000000004i−4i0000000000000000000000000000
χ528-88-80800-80000000000000000000−4i4i0000000000000000000000000000
χ538-88-80-800800000000000000000000000000000004-40000000000000000
χ548-88-80-80080000000000000000000000000000000-440000000000000000
χ558-8-88800-80000000000000000004i−4i000000000000000000000000000000
χ568-8-88800-8000000000000000000−4i4i000000000000000000000000000000
χ578-8-88-800800000000000000000000000000000000004-400000000000000
χ588-8-88-80080000000000000000000000000000000000-4400000000000000

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