Finite Group Databasebeta

← Group #277420

Character table — Group #277420

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888884444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-11-1-111-1-11-1
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-111-11
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11-1-1-11111-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-11111-1-11-1
χ91111111111111111-1-1-1-11111111111-1-11111-1-1-1-1111111-11-1-11-1-1-1-1-11111-1-1
χ101111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11-1-1111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-111-111-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-111-1111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-11-1-1-111-11111-1-1-11
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1111-1-1-1-1111-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1111-1-1-111-1-1111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111-1111-1-11-1-111-1-1-11
χ172222222222-2-22-22-20000-2-2222222220000-2-200000000000-200-200000000000
χ182222222222-2-22-22-20000-2-22222-2-2-2-20000-2-200000000000200200000000000
χ192222222222-2-22-22-20000-2-2-2-2-2-222-2-200002200000000000-200200000000000
χ202222222222-2-22-22-20000-2-2-2-2-2-2-2-22200002200000000000200-200000000000
χ2122222222-2-222-22-222222-2-200000000-2-222000000-2-200002000000-200000000
χ2222222222-2-222-22-222222-2-200000000-2-2-2-2000000220000-2000000200000000
χ2322222222-2-222-22-22-2-2-2-2-2-2000000002222000000-2-20000-2000000200000000
χ2422222222-2-222-22-22-2-2-2-2-2-20000000022-2-20000002200002000000-200000000
χ2522-22-22-2-22-200-20200000002i2i−2i−2i2i−2i2-2002−20000002−2i2i2−i2−i20000000000i2−i22−200
χ2622-22-22-2-22-200-20200000002i2i−2i−2i2i−2i2-200−22000000−22−i2−i2i2i20000000000−i2i2−2200
χ2722-22-22-2-22-200-20200000002i2i−2i−2i−2i2i-22002−20000002−2i2i2−i2−i20000000000−i2i2−2200
χ2822-22-22-2-22-200-20200000002i2i−2i−2i−2i2i-2200−22000000−22−i2−i2i2i20000000000i2−i22−200
χ2922-22-22-2-22-200-2020000000−2i−2i2i2i2i−2i-22002−20000002−2−i2−i2i2i20000000000i2−i2−2200
χ3022-22-22-2-22-200-2020000000−2i−2i2i2i2i−2i-2200−22000000−22i2i2−i2−i20000000000−i2i22−200
χ3122-22-22-2-22-200-2020000000−2i−2i2i2i−2i2i2-2002−20000002−2−i2−i2i2i20000000000−i2i22−200
χ3222-22-22-2-22-200-2020000000−2i−2i2i2i−2i2i2-200−22000000−22i2i2−i2−i20000000000i2−i2−2200
χ332-2-222-2-2222-2-2-22-2222-2-22-2000000002-200000000002i−2i2i−2i000000002i−2i000000
χ342-2-222-2-2222-2-2-22-2222-2-22-2000000002-20000000000−2i2i−2i2i00000000−2i2i000000
χ352-2-222-2-2222-2-2-22-22-2-2222-200000000-2200000000002i−2i2i−2i00000000−2i2i000000
χ362-2-222-2-2222-2-2-22-22-2-2222-200000000-220000000000−2i2i−2i2i000000002i−2i000000
χ372-2-222-2-22-2-2222-22-200002-22-22-2000000002-20000000000002i−2i02i−2i000000000
χ382-2-222-2-22-2-2222-22-200002-22-22-2000000002-2000000000000−2i2i0−2i2i000000000
χ392-2-222-2-22-2-2222-22-200002-2-22-2200000000-220000000000002i−2i0−2i2i000000000
χ402-2-222-2-22-2-2222-22-200002-2-22-2200000000-22000000000000−2i2i02i−2i000000000
χ412-2-222-2-22-2-2-2-2222222-2-2-222-22-20000-2200-2222-2-20000000000000000000000
χ422-2-222-2-22-2-2-2-2222222-2-2-22-22-220000-22002-2-2-2220000000000000000000000
χ432-2-222-2-22-2-2-2-22222-2-222-222-22-200002-200-22-2-2220000000000000000000000
χ442-2-222-2-22-2-2-2-22222-2-222-22-22-2200002-2002-222-2-20000000000000000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ4644-44-44-4-4-440040-40000000000000000022−22000000−222200000000000000000000
χ4744-44-44-4-4-440040-400000000000000000−222200000022−2200000000000000000000
χ4844-4-44-44-4004-4040-44-44-4000000000000000000000000000000000000000000
χ4944-4-44-44-4004-4040-4-44-44000000000000000000000000000000000000000000
χ5044-4-44-44-400-440-404000000000000000000002i2−2i22i2−2i20000000000000000000000
χ5144-4-44-44-400-440-40400000000000000000000−2i22i2−2i22i20000000000000000000000
χ524-444-4-44-44-40040-400000000000000000000000000022−22−22220000000000000000
χ534-444-4-44-44-40040-4000000000000000000000000000−222222−220000000000000000
χ544-444-4-44-4-4400-40400000004i−4i−4i4i000000000000000000000000000000000000
χ554-444-4-44-4-4400-4040000000−4i4i4i−4i000000000000000000000000000000000000
χ564-44-444-4-4004-40-404000000000000000000002i2−2i2−2i22i20000000000000000000000
χ574-44-444-4-4004-40-40400000000000000000000−2i22i22i2−2i20000000000000000000000
χ584-44-444-4-400-44040-44-4-44000000000000000000000000000000000000000000
χ594-44-444-4-400-44040-4-444-4000000000000000000000000000000000000000000
χ604-4-444-4-444444-4-4-4-40000-440000000000000000000000000000000000000000
χ61888-8-8-8-88000000000000000000000000000000000000000000000000000000
χ628-8-8-8-8888000000000000000000000000000000000000000000000000000000

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