Finite Group Databasebeta

← Group #72227790

Character table — Group #72227790

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122444444888888881616161616161616161616161616323232323232323232323232323264646464
order1222222222222222224422224444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111-1-11111-1-1111111-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ511111111111111111111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111-1-11111-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1
χ711111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ9222222222222222-2-22-2-20000-2-20000000000000022-2-200000000
χ10222222222222222-2-22-2-20000-2-200000000000000-2-22200000000
χ11222222222222-2-2-222-2-2-222002-2220000000000-2-2000000000000
χ12222222222222-2-2-222-2-2-2-2-2002-2-2-2000000000022000000000000
χ13222222222222-2-2-2-2-2-2220000-2200002222-2-20000000000000000
χ14222222222222-2-2-2-2-2-2220000-220000-2-2-2-2220000000000000000
χ15222222-2-222-2-222-222-2220022-2-20022000000-2-200000000000000
χ16222222-2-222-2-222-222-22200-2-2-2-200-2-20000002200000000000000
χ17222222-2-222-2-222-2-2-2-2-2-20000220000000000000000002i2i−2i−2i0000
χ18222222-2-222-2-222-2-2-2-2-2-2000022000000000000000000−2i−2i2i2i0000
χ19222222-2-222-2-2-2-22222-2-20000-2200000000000000000000002-200
χ20222222-2-222-2-2-2-22222-2-20000-220000000000000000000000-2200
χ21222222-2-222-2-2-2-22-2-222200002-20000000000000000000000002-2
χ22222222-2-222-2-2-2-22-2-222200002-2000000000000000000000000-22
χ234444444-4-4-44-40000000000220000-2-20000002-200000000000000
χ244444444-4-4-44-40000000000-2-2000022000000-2200000000000000
χ25444444-44-4-4-440000000000220000-2-2000000-2200000000000000
χ26444444-44-4-4-440000000000-2-20000220000002-200000000000000
χ274444-4-4004-4000000004-4220000-2-200000000002-2000000000000
χ284444-4-4004-4000000004-4-2-20000220000000000-22000000000000
χ294444-4-4004-400000000-44220000-2-20000000000-22000000000000
χ304444-4-4004-400000000-44-2-200002200000000002-2000000000000
χ314444-4-400-44000004-4000000000000022-2-22-20000000000000000
χ324444-4-400-44000004-40000000000000-2-222-220000000000000000
χ334444-4-400-4400000-44000000000000022-2-2-220000000000000000
χ344444-4-400-4400000-440000000000000-2-2222-20000000000000000
χ3544-4-44-404000-4000000002-200002-2002i−2i2i−2i000000002i−2i00000000
χ3644-4-44-404000-4000000002-200002-200−2i2i−2i2i00000000−2i2i00000000
χ3744-4-44-404000-400000000-220000-22002i−2i2i−2i00000000−2i2i00000000
χ3844-4-44-404000-400000000-220000-2200−2i2i−2i2i000000002i−2i00000000
χ3944-4-4-444000-40000000002-20000-22002i−2i−2i2i0000002i−2i0000000000
χ4044-4-4-444000-40000000002-20000-2200−2i2i2i−2i000000−2i2i0000000000
χ4144-4-4-444000-4000000000-2200002-2002i−2i−2i2i000000−2i2i0000000000
χ4244-4-4-444000-4000000000-2200002-200−2i2i2i−2i0000002i−2i0000000000
χ4388-8-88-80-800080000000000000000000000000000000000000000
χ4488-8-8-88-8000800000000000000000000000000000000000000000
χ458-88-80000000000400-4000000000000000000000000002i−2i2i−2i0000
χ468-88-80000000000400-400000000000000000000000000−2i2i−2i2i0000
χ478-88-80000000000-4004000000000000000000000000002-2-220000
χ488-88-80000000000-400400000000000000000000000000-222-20000
χ498-8-88000000004-4000000000000004-40000000000000000000000
χ508-8-88000000004-400000000000000-440000000000000000000000
χ518-8-8800000000-44000000004-40000000000000000000000000000
χ528-8-8800000000-4400000000-440000000000000000000000000000

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