Finite Group Databasebeta

← Group #145302

Character table — Group #145302

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122444444444444448888888816161616161616163232323232323232
order12224424444488888888161616161616161644881616161624888888
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ9222222222222-2-2-2-2-2-2-2-20000000022-2-2000000000000
χ10222222222222-2-2-2-2-2-2-2-200000000-2-222000000000000
χ1122222222-2-2-2-2222-2-2-2-220000000000000000002i−2i0000
χ1222222222-2-2-2-2222-2-2-2-22000000000000000000−2i2i0000
χ1322222222-2-2-2-2-2-2-22222-200000000000000000000002i−2i
χ1422222222-2-2-2-2-2-2-22222-20000000000000000000000−2i2i
χ15222222-2-222-2-222-222-2-2-20000000000002i2i−2i−2i00000000
χ16222222-2-222-2-222-222-2-2-2000000000000−2i−2i2i2i00000000
χ17222222-2-222-2-2-2-22-2-22222222-2-2-2-20000000000000000
χ18222222-2-222-2-2-2-22-2-2222-2-2-2-222220000000000000000
χ19222222-2-2-2-22222-2-2-222-2000000000000000000002-200
χ20222222-2-2-2-22222-2-2-222-200000000000000000000-2200
χ21222222-2-2-2-222-2-2222-2-2200000000000000002-2000000
χ22222222-2-2-2-222-2-2222-2-220000000000000000-22000000
χ232222-2-22-22-2-2200000000i2i2−i2−i2i2i2−i2−i2002i−2i2−22−200000000
χ242222-2-22-22-2-2200000000i2i2−i2−i2i2i2−i2−i200−2i2i−22−2200000000
χ252222-2-22-22-2-2200000000−i2−i2i2i2−i2−i2i2i2002i−2i−22−2200000000
χ262222-2-22-22-2-2200000000−i2−i2i2i2−i2−i2i2i200−2i2i2−22−200000000
χ272222-2-2-222-22-200000000i2i2−i2−i2−i2−i2i2i22-200i2−i2−i2i200000000
χ282222-2-2-222-22-200000000i2i2−i2−i2−i2−i2i2i2-2200−i2i2i2−i200000000
χ292222-2-2-222-22-200000000−i2−i2i2i2i2i2−i2−i22-200−i2i2i2−i200000000
χ302222-2-2-222-22-200000000−i2−i2i2i2i2i2−i2−i2-2200i2−i2−i2i200000000
χ314444-4-44-4-444-400000000000000000000000000000000
χ324444-4-4-44-44-4400000000000000000000000000000000
χ3344-4-44-40000000040000-4000022−2222−220000000000000000
χ3444-4-44-40000000040000-40000−2222−22220000000000000000
χ3544-4-44-400000000-4000042i2−2i22i2−2i200000000000000000000
χ3644-4-44-400000000-400004−2i22i2−2i22i200000000000000000000
χ3744-4-4-440000004i−4i0000002-2-222i−2i−2i2i0000000000000000
χ3844-4-4-440000004i−4i000000-222-2−2i2i2i−2i0000000000000000
χ3944-4-4-44000000−4i4i0000002-2-22−2i2i2i−2i0000000000000000
χ4044-4-4-44000000−4i4i000000-222-22i−2i−2i2i0000000000000000
χ418-88-800000000000004i2−4i20000000000000000000000000
χ428-88-80000000000000−4i24i20000000000000000000000000
χ438-8-880000000000042−42000000000000000000000000000
χ448-8-8800000000000−4242000000000000000000000000000

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