Finite Group Databasebeta

← Group #335575

Character table — Group #335575

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882222444488888888888888224444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-11-1
χ3111111111111111111111111-1-1111111111111111111-1-1-11-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-11
χ51111111111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-11-11
χ61111111111111111111111-1-111-1-1-1-1111111-1-1-1-11111-1-11-1111111-1-1-1-1-1
χ71111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-11-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-111-111-1-1-1-1-1-11
χ10111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-111-1-11-1-1
χ11111111111111111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-11-1-111-1-111-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1111-1-1-1-1-111
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11111-111
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-11111-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-1111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-11-1-11111-1-11
χ1722222222222-2-2-2-22-2-2222200220000-2-20000000000000020-2-2000000000
χ1822222222222-2-2-2-22-2-2222200-2-20000-2-200000000000000-2022000000000
χ1922222222222-2-2-2-22-2-2-2-2-2-2002200002200000000000000-20-22000000000
χ2022222222222-2-2-2-22-2-2-2-2-2-200-2-200002200000000000000202-2000000000
χ2122222222-2-2-22222-2-2-20000220022-2-20022-2-200000000000-200000000000
χ2222222222-2-2-22222-2-2-200002200-2-22200-2-22200000000000-200000000000
χ2322222222-2-2-22222-2-2-20000-2-20022-2-200-2-22200000000000200000000000
χ2422222222-2-2-22222-2-2-20000-2-200-2-2220022-2-200000000000200000000000
χ2522-22-2-22-20002-22-2000i2i2−i2−i22-2002i−2i00i2−i22i−2i0022−2−222−2−20000000000i2−i2000
χ2622-22-2-22-20002-22-2000i2i2−i2−i22-200−2i2i00i2−i2−2i2i00−2−222−2−2220000000000i2−i2000
χ2722-22-2-22-20002-22-2000i2i2−i2−i2-22002i−2i00i2−i2−2i2i0022−2−2−2−2220000000000−i2i2000
χ2822-22-2-22-20002-22-2000i2i2−i2−i2-2200−2i2i00i2−i22i−2i00−2−22222−2−20000000000−i2i2000
χ2922-22-2-22-20002-22-2000−i2−i2i2i22-2002i−2i00−i2i22i−2i00−2−222−2−2220000000000−i2i2000
χ3022-22-2-22-20002-22-2000−i2−i2i2i22-200−2i2i00−i2i2−2i2i0022−2−222−2−20000000000−i2i2000
χ3122-22-2-22-20002-22-2000−i2−i2i2i2-22002i−2i00−i2i2−2i2i00−2−22222−2−20000000000i2−i2000
χ3222-22-2-22-20002-22-2000−i2−i2i2i2-2200−2i2i00−i2i22i−2i0022−2−2−2−2220000000000i2−i2000
χ332-2-222-2-22-22222-2-2-22-20000000000000000002i−2i2i−2i00002-20000002i−2i00000
χ342-2-222-2-22-22222-2-2-22-20000000000000000002i−2i2i−2i0000-22000000−2i2i00000
χ352-2-222-2-22-22222-2-2-22-2000000000000000000−2i2i−2i2i00002-2000000−2i2i00000
χ362-2-222-2-22-22222-2-2-22-2000000000000000000−2i2i−2i2i0000-220000002i−2i00000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-44-4-4-444-40000-4000000004-4000000000000000000000000000000000
χ39444-44-4-4-444-40000-400000000-44000000000000000000000000000000000
χ40444-44-4-4-4-4-440000400000000000000000000000000000000002i2−2i20000000
χ41444-44-4-4-4-4-44000040000000000000000000000000000000000−2i22i20000000
χ4244-44-4-44-4000-44-440002i22i2−2i2−2i200000000−2i22i2000000000000000000000000000
χ4344-44-4-44-4000-44-44000−2i2−2i22i22i2000000002i2−2i2000000000000000000000000000
χ444-444-44-4-40004-4-440000000000000000000002i2−2i2−2i22i20000000000000000000
χ454-444-44-4-40004-4-44000000000000000000000−2i22i22i2−2i20000000000000000000
χ464-444-44-4-4000-444-400000000000004i−4i00000000000000000000000000000
χ474-444-44-4-4000-444-40000000000000−4i4i00000000000000000000000000000
χ484-44-4-4-444000000000022−2222−2200000000000022−2200002-22-2000000000000000
χ494-44-4-4-444000000000022−2222−22000000000000−22220000-22-22000000000000000
χ504-44-4-4-4440000000000−2222−222200000000000022−220000-22-22000000000000000
χ514-44-4-4-4440000000000−2222−2222000000000000−222200002-22-2000000000000000
χ524-4-444-4-444-4-444-4-44-4400000000000000000000000000000000000000000
χ534-4-444-4-444-4-4-4-44444-400000000000000000000000000000000000000000
χ544-4-444-4-44-444-4-444-4-4400000000000000000000000000000000000000000
χ554-4-4-4444-44-440000-4004i−4i−4i4i0000000000000000000000000000000000000
χ564-4-4-4444-44-440000-400−4i4i4i−4i0000000000000000000000000000000000000
χ574-4-4-4444-4-44-40000400000000000000000000000022−22−2222000000000000000
χ584-4-4-4444-4-44-400004000000000000000000000000−222222−22000000000000000
χ5988-8-8-88-88000000000000000000000000000000000000000000000000000

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