Finite Group Databasebeta

← Group #340701

Character table — Group #340701

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888222444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111111111-1-1-1-11-111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11-1-11-11-1-1-1-1-1-1-111
χ411111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1
χ51111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1111111-111
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-111111111111-1-11-11-1-11111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-111-1-1-1-11
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-11111-1
χ11111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-111-1-1111-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1-1-11-1
χ13111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-11111-1-1-1-1-111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111-1-1-111-1-111-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-11-1-11111-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-1111-1-111-1-11
χ17222222222-2-2222-2-2-2-22222000000220000-2-200000000-200-202000000000
χ18222222222-2-2222-2-2-2-22222000000-2-20000-2-20000000020020-2000000000
χ19222222222-2-2222-2-2-2-2-2-2-2-20000002200002200000000200-20-2000000000
χ20222222222-2-2222-2-2-2-2-2-2-2-2000000-2-200002200000000-200202000000000
χ2122222222-222-2-2-222-2-2000022-2-2220000000022-2-200000000-20000000000
χ2222222222-222-2-2-222-2-2000022-2-2-2-200000000-2-2220000000020000000000
χ2322222222-222-2-2-222-2-20000-2-2222200000000-2-22200000000-20000000000
χ2422222222-222-2-2-222-2-20000-2-222-2-20000000022-2-20000000020000000000
χ2522-2-22-22-202-20002-200i2i2−i2−i22-2002i−2i00i2i2−i2−i2i2−i22i−2i0022−2−20000002−20000000
χ2622-2-22-22-202-20002-200i2i2−i2−i22-200−2i2i00i2i2−i2−i2i2−i2−2i2i00−2−222000000−220000000
χ2722-2-22-22-202-20002-200i2i2−i2−i2-22002i−2i00−i2−i2i2i2i2−i2−2i2i00−2−2220000002−20000000
χ2822-2-22-22-202-20002-200i2i2−i2−i2-2200−2i2i00−i2−i2i2i2i2−i22i−2i0022−2−2000000−220000000
χ2922-2-22-22-202-20002-200−i2−i2i2i22-2002i−2i00−i2−i2i2i2−i2i22i−2i00−2−222000000−220000000
χ3022-2-22-22-202-20002-200−i2−i2i2i22-200−2i2i00−i2−i2i2i2−i2i2−2i2i0022−2−20000002−20000000
χ3122-2-22-22-202-20002-200−i2−i2i2i2-22002i−2i00i2i2−i2−i2−i2i2−2i2i0022−2−2000000−220000000
χ3222-2-22-22-202-20002-200−i2−i2i2i2-2200−2i2i00i2i2−i2−i2−i2i22i−2i00−2−2220000002−20000000
χ332-22-2-222-2-2222-22-2-2-220000000000002i−2i2i−2i000000000002-200000002i−2i000
χ342-22-2-222-2-2222-22-2-2-220000000000002i−2i2i−2i00000000000-220000000−2i2i000
χ352-22-2-222-2-2222-22-2-2-22000000000000−2i2i−2i2i000000000002-20000000−2i2i000
χ362-22-2-222-2-2222-22-2-2-22000000000000−2i2i−2i2i00000000000-2200000002i−2i000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-4-4400000000002i2−2i22i2−2i2000000000000000022−222i−2i2i−2i000000000000000
χ39444-4-4-4-4400000000002i2−2i22i2−2i20000000000000000−2222−2i2i−2i2i000000000000000
χ40444-4-4-4-440000000000−2i22i2−2i22i2000000000000000022−22−2i2i−2i2i000000000000000
χ41444-4-4-4-440000000000−2i22i2−2i22i20000000000000000−22222i−2i2i−2i000000000000000
χ4244-44-44-4-44004-4-400004-4-440000000000000000000000000000000000000
χ4344-44-44-4-44004-4-40000-444-40000000000000000000000000000000000000
χ4444-44-44-4-4-400-444000000000000000000000000002i2−2i2−2i22i2000000000000000
χ4544-44-44-4-4-400-44400000000000000000000000000−2i22i22i2−2i2000000000000000
χ4644-4-44-44-40-44000-44002i22i2−2i2−2i2000000000000−2i22i200000000000000000000000
χ4744-4-44-44-40-44000-4400−2i2−2i22i22i20000000000002i2−2i200000000000000000000000
χ484-44-4-444-4444-44-4-4-44-400000000000000000000000000000000000000000
χ494-44-4-444-44-4-4-44-444-4400000000000000000000000000000000000000000
χ504-44-4-444-4-4-4-44-44444-400000000000000000000000000000000000000000
χ514-4-44-4-44404-4000-440000000000000022−22−22220000000000000000000000000
χ524-4-44-4-44404-4000-4400000000000000−222222−220000000000000000000000000
χ534-4-44-4-4440-440004-4000000004-4000000000000000000000000000000000
χ544-4-44-4-4440-440004-400000000-44000000000000000000000000000000000
χ554-4-4-444-44400-4-44000000000000004-400000000000000000000000000000
χ564-4-4-444-44400-4-4400000000000000-4400000000000000000000000000000
χ574-4-4-444-44-40044-40000000000000000000000000000000000000022−2200000
χ584-4-4-444-44-40044-400000000000000000000000000000000000000−222200000
χ598-8888-8-8-8000000000000000000000000000000000000000000000000000

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