Finite Group Databasebeta

← Group #340700

Character table — Group #340700

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888222444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111111111-1-1-11-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-11111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-1-1-1-11111-1-11
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-11111111-1-1-111-1-11111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-1-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-11111-1-1-111-1-11-1-1
χ10111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11-1-11-11-1-1-1-111-111
χ11111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1111-11
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
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-11111-1-1-1-1-111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111-1-11-11-1-111-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1111-1-1111-1-1
χ17222222222-2-22-222-2-2-2222200000022-2-2000000000000-2000-22000000000
χ18222222222-2-22-222-2-2-22222000000-2-2-2-200000000000020002-2000000000
χ19222222222-2-22-222-2-2-2-2-2-2-200000022220000000000002000-2-2000000000
χ20222222222-2-22-222-2-2-2-2-2-2-2000000-2-222000000000000-200022000000000
χ2122222222-222-22-2-22-2-2000022-2-2220000220000-2-20000000-200000000000
χ2222222222-222-22-2-22-2-2000022-2-2-2-20000-2-20000220000000200000000000
χ2322222222-222-22-2-22-2-20000-2-222220000-2-20000220000000-200000000000
χ2422222222-222-22-2-22-2-20000-2-222-2-20000220000-2-20000000200000000000
χ25222-2-2-2-22-2222-2-22-2-2200000000000000002i2i−2i−2i00000002-200000002i−2i000
χ26222-2-2-2-22-2222-2-22-2-2200000000000000002i2i−2i−2i0000000-220000000−2i2i000
χ27222-2-2-2-22-2222-2-22-2-220000000000000000−2i−2i2i2i00000002-20000000−2i2i000
χ28222-2-2-2-22-2222-2-22-2-220000000000000000−2i−2i2i2i0000000-2200000002i−2i000
χ292-2-2-2-222202-20-20020022−2−2002-22-2002−2002−22−22-222−2−20000002−20000000
χ302-2-2-2-222202-20-20020022−2−2002-2-22002−2002−22−2-22−2−222000000−220000000
χ312-2-2-2-222202-20-20020022−2−200-222-2002−200−22−22-22−2−2220000002−20000000
χ322-2-2-2-222202-20-20020022−2−200-22-22002−200−22−222-222−2−2000000−220000000
χ332-2-2-2-222202-20-200200−2−222002-22-200−2200−22−222-2−2−222000000−220000000
χ342-2-2-2-222202-20-200200−2−222002-2-2200−2200−22−22-2222−2−20000002−20000000
χ352-2-2-2-222202-20-200200−2−22200-222-200−22002−22−2-2222−2−2000000−220000000
χ362-2-2-2-222202-20-200200−2−22200-22-2200−22002−22−22-2−2−2220000002−20000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-4-44444-4-44-4-44-400000000000000000000000000000000000000000
χ39444-4-4-4-444-4-4-444-44-4400000000000000000000000000000000000000000
χ40444-4-4-4-44-4-4-444-4444-400000000000000000000000000000000000000000
χ4144-44-44-4-440040-4-4000000000000000000000000000000000000022−2200000
χ4244-44-44-4-440040-4-40000000000000000000000000000000000000−222200000
χ4344-44-44-4-4-400-404400000000000004i−4i00000000000000000000000000000
χ4444-44-44-4-4-400-40440000000000000−4i4i00000000000000000000000000000
χ4544-4-44-44-4400-40-4400000000000000000000000002i2−2i22i2−2i2000000000000000
χ4644-4-44-44-4400-40-440000000000000000000000000−2i22i2−2i22i2000000000000000
χ4744-4-44-44-4-400404-40004i−4i4i−4i0000000000000000000000000000000000000
χ4844-4-44-44-4-400404-4000−4i4i−4i4i0000000000000000000000000000000000000
χ494-444-4-44-400000000002i2−2i2−2i22i2000000000022−220000002i−2i−2i2i000000000000000
χ504-444-4-44-400000000002i2−2i2−2i22i20000000000−2222000000−2i2i2i−2i000000000000000
χ514-444-4-44-40000000000−2i22i22i2−2i2000000000022−22000000−2i2i2i−2i000000000000000
χ524-444-4-44-40000000000−2i22i22i2−2i20000000000−22220000002i−2i−2i2i000000000000000
χ534-4-444-4-4404-40400-40000000000000000002i2−2i2−2i22i2000000000000000000000
χ544-4-444-4-4404-40400-4000000000000000000−2i22i22i2−2i2000000000000000000000
χ554-4-444-4-440-440-40040000004-400000000000000000000000000000000000
χ564-4-444-4-440-440-4004000000-4400000000000000000000000000000000000
χ574-4-4-4-44440-440400-4002222−22−2200000000−2222000000000000000000000000000
χ584-4-4-4-44440-440400-400−22−2222220000000022−22000000000000000000000000000
χ598-88-888-8-8000000000000000000000000000000000000000000000000000

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