Finite Group Databasebeta

← Group #126459

Character table — Group #126459

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111222222888888881616161616161616161616161616161616161632323232
order1222224444444488884444488888816161616161616164488
χ111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ511111111111-1-111111-111-1-1-1-111111111-1-1-1-11-1-1-1
χ611111111111-1-111111-111-1-1-1-1-1-1-1-1-1-1-1-111111-111
χ711111111111-1-111111-1-1-111-1-11111-1-1-1-11111-11-1-1
χ811111111111-1-111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1111
χ922222222222222-2-2-2-220000-2-20000000000000000
χ1022222222222-2-22-2-2-2-2-20000220000000000000000
χ112222222222-200-22-22-200022000000000000000-200
χ122222222222-200-22-22-2000-2-2000000000000000200
χ132222222222-200-2-22-220220000000000000000-2000
χ142222222222-200-2-22-220-2-200000000000000002000
χ15222222-2-2-2-2222-20000-20000000000i2i2−i2−i2i2i2−i2−i20000
χ16222222-2-2-2-2222-20000-20000000000−i2−i2i2i2−i2−i2i2i20000
χ17222222-2-2-2-22-2-2-2000020000000000i2i2−i2−i2−i2−i2i2i20000
χ18222222-2-2-2-22-2-2-2000020000000000−i2−i2i2i2i2i2−i2−i20000
χ1922-2-22-22-2-2200000-20202-20000i2i2−i2−i2i2−i2i2−i200000000
χ2022-2-22-22-2-2200000-20202-20000−i2−i2i2i2−i2i2−i2i200000000
χ2122-2-22-22-2-2200000-2020-220000i2i2−i2−i2−i2i2−i2i200000000
χ2222-2-22-22-2-2200000-2020-220000−i2−i2i2i2i2−i2i2−i200000000
χ2322-2-2-22-22-220000-20200002-200i2−i2i2−i20000i2−i2i2−i20000
χ2422-2-2-22-22-220000-20200002-200−i2i2−i2i20000−i2i2−i2i20000
χ2522-2-2-22-22-220000-2020000-2200i2−i2i2−i20000−i2i2−i2i20000
χ2622-2-2-22-22-220000-2020000-2200−i2i2−i2i20000i2−i2i2−i20000
χ27444444-4-4-4-4-4004000000000000000000000000000
χ284444-4-444-4-4000000000000000000000000000002i−2i
χ294444-4-444-4-400000000000000000000000000000−2i2i
χ304444-4-4-4-4440000000000000002-2-22000000000000
χ314444-4-4-4-444000000000000000-222-2000000000000
χ3244-4-44-44-4-440000040-400000000000000000000000
χ3344-4-44-4-444-400000000000000000002-2-2200000000
χ3444-4-44-4-444-40000000000000000000-222-200000000
χ3544-4-4-444-44-4000000000000000000000002-2-220000
χ3644-4-4-444-44-400000000000000000000000-222-20000
χ3744-4-4-44-44-44000040-4000000000000000000000000
χ388-88-800000004i−4i0000000000000000000000000000
χ398-88-80000000−4i4i0000000000000000000000000000
χ408-8-8800000000000000000002i2−2i20000000000000000
χ418-8-880000000000000000000−2i22i20000000000000000

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