Finite Group Databasebeta

← Group #339278

Character table — Group #339278

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ3111111111111111111111111-1-1111111111111111111-11-1-1-1-111-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1
χ51111111111111111111111-1-111111111-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-1-1-111-1
χ61111111111111111111111-1-111-1-1-1-1111111-1-1-1-111111-111-1-1-1-11111-1-1-1
χ71111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-11-1-1
χ10111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-11-1
χ11111111111111111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-111
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-11-11
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1111-11
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1111-1-1
χ17222222222-22-2-222-2-2-2222200220000-2-2000000000000-20-2200000000000
χ18222222222-22-2-222-2-2-2222200-2-20000-2-2000000000000202-200000000000
χ19222222222-22-2-222-2-2-2-2-2-2-20022000022000000000000-202-200000000000
χ20222222222-22-2-222-2-2-2-2-2-2-200-2-200002200000000000020-2200000000000
χ2122222222-22-222-2-22-2-20000220022-2-20022-2-2000000000-20000000000000
χ2222222222-22-222-2-22-2-200002200-2-22200-2-222000000000-20000000000000
χ2322222222-22-222-2-22-2-20000-2-20022-2-200-2-22200000000020000000000000
χ2422222222-22-222-2-22-2-20000-2-200-2-2220022-2-200000000020000000000000
χ2522-2-2-222-20-202-20020022−2−22-200002i−2i2−2002i−2ii2i2−i2−i2i2i2−i2−i20000002−20000000
χ2622-2-2-222-20-202-20020022−2−22-20000−2i2i2−200−2i2i−i2−i2i2i2−i2−i2i2i20000002−20000000
χ2722-2-2-222-20-202-20020022−2−2-2200002i−2i2−200−2i2ii2i2−i2−i2−i2−i2i2i2000000−220000000
χ2822-2-2-222-20-202-20020022−2−2-220000−2i2i2−2002i−2i−i2−i2i2i2i2i2−i2−i2000000−220000000
χ2922-2-2-222-20-202-200200−2−2222-200002i−2i−22002i−2i−i2−i2i2i2−i2−i2i2i2000000−220000000
χ3022-2-2-222-20-202-200200−2−2222-20000−2i2i−2200−2i2ii2i2−i2−i2i2i2−i2−i2000000−220000000
χ3122-2-2-222-20-202-200200−2−222-2200002i−2i−2200−2i2i−i2−i2i2i2i2i2−i2−i20000002−20000000
χ3222-2-2-222-20-202-200200−2−222-220000−2i2i−22002i−2ii2i2−i2−i2−i2−i2i2i20000002−20000000
χ332-222-22-2-2-222-2-2-222-220000000000000000002i−2i2i−2i000000002i−2i00002-2000
χ342-222-22-2-2-222-2-2-222-220000000000000000002i−2i2i−2i00000000−2i2i0000-22000
χ352-222-22-2-2-222-2-2-222-22000000000000000000−2i2i−2i2i000000002i−2i0000-22000
χ362-222-22-2-2-222-2-2-222-22000000000000000000−2i2i−2i2i00000000−2i2i00002-2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-44-4-4-440-400-440004-44-40000000000000000000000000000000000000
χ39444-44-4-4-440-400-44000-44-440000000000000000000000000000000000000
χ40444-44-4-4-4-404004-4000000000000000000000000022−2222−22000000000000000
χ41444-44-4-4-4-404004-40000000000000000000000000−2222−2222000000000000000
χ4244-44-4-4-44000000000022−22−222200000000002i2−2i20000002i−2i−2i2i000000000000000
χ4344-44-4-4-44000000000022−22−22220000000000−2i22i2000000−2i2i2i−2i000000000000000
χ4444-44-4-4-440000000000−222222−2200000000002i2−2i2000000−2i2i2i−2i000000000000000
χ4544-44-4-4-440000000000−222222−220000000000−2i22i20000002i−2i−2i2i000000000000000
χ4644-4-4-444-4040-4400-4002222−22−2200000000−2222000000000000000000000000000
χ4744-4-4-444-4040-4400-400−22−2222220000000022−22000000000000000000000000000
χ484-444-44-4-444-4-4-44-444-400000000000000000000000000000000000000000
χ494-444-44-4-44-4-4444-4-4-4400000000000000000000000000000000000000000
χ504-444-44-4-4-4-4444-44-44-400000000000000000000000000000000000000000
χ514-44-4-4-44440400-4-40000000004i−4i000000000000000000000000000000000
χ524-44-4-4-44440400-4-4000000000−4i4i000000000000000000000000000000000
χ534-44-4-4-444-40-40044000000000000000000000000000000000000022−2200000
χ544-44-4-4-444-40-400440000000000000000000000000000000000000−222200000
χ554-4-4-444-440404-400-400000000004i−4i0000000000000000000000000000000
χ564-4-4-444-440404-400-40000000000−4i4i0000000000000000000000000000000
χ574-4-4-444-440-40-440040000000000000000000022−22−22220000000000000000000
χ584-4-4-444-440-40-4400400000000000000000000−222222−220000000000000000000
χ598-8-888-88-8000000000000000000000000000000000000000000000000000

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