Finite Group Databasebeta

← Group #288159

Character table — Group #288159

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888884444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111111111111111-1-1-1-111-1-111-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-111-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-111-11
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111-1-11-1
χ91111111111111111-1-1-1-111111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ101111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-11-1-1-1-1111111-1-1-11
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-11-1-11111-1-1-1-1111-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-111-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-11111-1-1-1-111-1-1-11
χ172222222222-2-2-222-22222-2-2000000-2-20000000022-2-2000000002-20000000000
χ182222222222-2-2-222-22222-2-2000000-2-200000000-2-22200000000-220000000000
χ192222222222-2-2-222-2-2-2-2-2-2-2000000220000000022-2-200000000-220000000000
χ202222222222-2-2-222-2-2-2-2-2-2-20000002200000000-2-222000000002-20000000000
χ2122222222-2-2222-2-220000-2-222222200220000-2-200000000-2-200000000000000
χ2222222222-2-2222-2-220000-2-22222-2-200-2-20000-2-2000000002200000000000000
χ2322222222-2-2222-2-220000-2-2-2-2-2-22200-2-2000022000000002-200000000000000
χ2422222222-2-2222-2-220000-2-2-2-2-2-2-2-2002200002200000000-2200000000000000
χ2522-22-2-2-2200-2-220020000002i2i−2i−2i2-2002i−2i0000002−22−2i2i2−i2−i200000000002−2i2−i200
χ2622-22-2-2-2200-2-220020000002i2i−2i−2i2-2002i−2i000000−22−22−i2−i2i2i20000000000−22−i2i200
χ2722-22-2-2-2200-2-220020000002i2i−2i−2i-2200−2i2i0000002−22−2i2i2−i2−i20000000000−22−i2i200
χ2822-22-2-2-2200-2-220020000002i2i−2i−2i-2200−2i2i000000−22−22−i2−i2i2i200000000002−2i2−i200
χ2922-22-2-2-2200-2-22002000000−2i−2i2i2i2-200−2i2i0000002−22−2−i2−i2i2i200000000002−2−i2i200
χ3022-22-2-2-2200-2-22002000000−2i−2i2i2i2-200−2i2i000000−22−22i2i2−i2−i20000000000−22i2−i200
χ3122-22-2-2-2200-2-22002000000−2i−2i2i2i-22002i−2i0000002−22−2−i2−i2i2i20000000000−22i2−i200
χ3222-22-2-2-2200-2-22002000000−2i−2i2i2i-22002i−2i000000−22−22i2i2−i2−i200000000002−2−i2i200
χ332-2-2-2-2222222-22-2-2-22i2i−2i−2i-220000002i−2i0000000000002-22-2000000002i−2i000000
χ342-2-2-2-2222222-22-2-2-22i2i−2i−2i-220000002i−2i000000000000-22-2200000000−2i2i000000
χ352-2-2-2-2222222-22-2-2-2−2i−2i2i2i-22000000−2i2i0000000000002-22-200000000−2i2i000000
χ362-2-2-2-2222222-22-2-2-2−2i−2i2i2i-22000000−2i2i000000000000-22-22000000002i−2i000000
χ372-2-2-2-222222-22-2-2-222i2i−2i−2i2-22-22-200−2i2i002i2i−2i−2i2-2000000000000000000000000
χ382-2-2-2-222222-22-2-2-222i2i−2i−2i2-2-22-2200−2i2i00−2i−2i2i2i-22000000000000000000000000
χ392-2-2-2-222222-22-2-2-22−2i−2i2i2i2-22-22-2002i−2i00−2i−2i2i2i2-2000000000000000000000000
χ402-2-2-2-222222-22-2-2-22−2i−2i2i2i2-2-22-22002i−2i002i2i−2i−2i-22000000000000000000000000
χ412-2-2-2-2222-2-2-22-22220000-222-22-20000000000-2200000000002-2002-200000000
χ422-2-2-2-2222-2-2-22-22220000-222-22-20000000000-220000000000-2200-2200000000
χ432-2-2-2-2222-2-2-22-22220000-22-22-2200000000002-200000000002-200-2200000000
χ442-2-2-2-2222-2-2-22-22220000-22-22-2200000000002-20000000000-22002-200000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ46444-4-44-4-44-40004-40000000000000000022−2222−2200000000000000000000000000
χ47444-4-44-4-44-40004-400000000000000000−2222−222200000000000000000000000000
χ48444-4-44-4-4-44000-4404-44-4000000000000000000000000000000000000000000
χ49444-4-44-4-4-44000-440-44-44000000000000000000000000000000000000000000
χ5044-44-4-4-440044-400-4000000000000000000000022−22−222200000000000000000000
χ5144-44-4-4-440044-400-40000000000000000000000−222222−2200000000000000000000
χ524-44-44-4-44004-4-40040000004i−4i−4i4i000000000000000000000000000000000000
χ534-44-44-4-44004-4-4004000000−4i4i4i−4i000000000000000000000000000000000000
χ544-44-44-4-4400-44400-4000000000000000000000000002i2−2i2−2i22i20000000000000000
χ554-44-44-4-4400-44400-400000000000000000000000000−2i22i22i2−2i20000000000000000
χ564-4-4444-4-44-4000-44000000000000000002i2−2i2−2i22i200000000000000000000000000
χ574-4-4444-4-44-4000-4400000000000000000−2i22i22i2−2i200000000000000000000000000
χ584-4-4444-4-4-440004-404i−4i−4i4i000000000000000000000000000000000000000000
χ594-4-4444-4-4-440004-40−4i4i4i−4i000000000000000000000000000000000000000000
χ604-4-4-4-4444-4-44-4444-400004-40000000000000000000000000000000000000000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-888-8-88-8000000000000000000000000000000000000000000000000000000

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