Finite Group Databasebeta

← Group #311229

Character table — Group #311229

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888884444444488888824
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11111-1-1-1-1-1-11-11111-11-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111111-11-1-1-1-11-111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1111-1-1-111-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-111-1-111-11
χ71111111111111111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1111-1-111-1-1-1-111-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111111-1-11-1
χ911111111111111111-1-1-1-111111-1-111111111-1-1-1-11111111-1-1-1-1-1-11-1-11111-1-1
χ1011111111111111111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-111-1-1-1-11111-1-1-11
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111111-1-11-1-1-1-1-1111-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1111-1-1111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-11-1-11111-1-111-1-1-11
χ17222222222-2-22-2-222-22222-20000-2-2000000220000-2-200000-200002000000000
χ18222222222-2-22-2-222-22222-20000-2-2000000-2-20000220000020000-2000000000
χ19222222222-2-22-2-222-2-2-2-2-2-2000022000000220000-2-20000020000-2000000000
χ20222222222-2-22-2-222-2-2-2-2-2-2000022000000-2-200002200000-200002000000000
χ2122222222-222-222-2-2-20000-22222002222-2-2000000000000-2000000-200000000
χ2222222222-222-222-2-2-20000-2222200-2-2-2-2-2-20000000000002000000200000000
χ2322222222-222-222-2-2-20000-2-2-2-2-20022-2-222000000000000-2000000200000000
χ2422222222-222-222-2-2-20000-2-2-2-2-200-2-222220000000000002000000-200000000
χ25222-2-2-2-2202-202-20000000022-2-2002i−2i2i−2i00i2−i20000i2−i2i2i2−i2−i200000000002−22−200
χ26222-2-2-2-2202-202-20000000022-2-2002i−2i2i−2i00−i2i20000−i2i2−i2−i2i2i20000000000−22−2200
χ27222-2-2-2-2202-202-20000000022-2-200−2i2i−2i2i00i2−i20000i2−i2i2i2−i2−i20000000000−22−2200
χ28222-2-2-2-2202-202-20000000022-2-200−2i2i−2i2i00−i2i20000−i2i2−i2−i2i2i200000000002−22−200
χ29222-2-2-2-2202-202-200000000-2-222002i−2i−2i2i00i2−i20000i2−i2−i2−i2i2i200000000002−2−2200
χ30222-2-2-2-2202-202-200000000-2-222002i−2i−2i2i00−i2i20000−i2i2i2i2−i2−i20000000000−222−200
χ31222-2-2-2-2202-202-200000000-2-22200−2i2i2i−2i00i2−i20000i2−i2−i2−i2i2i20000000000−222−200
χ32222-2-2-2-2202-202-200000000-2-22200−2i2i2i−2i00−i2i20000−i2i2i2i2−i2−i200000000002−2−2200
χ332-222-22-2-22-2-2-2222-2-2000022i−2i2i−2i0000002i−2i000000000000002-22i−2i0000000000
χ342-222-22-2-22-2-2-2222-2-2000022i−2i2i−2i0000002i−2i00000000000000-22−2i2i0000000000
χ352-222-22-2-22-2-2-2222-2-200002−2i2i−2i2i000000−2i2i000000000000002-2−2i2i0000000000
χ362-222-22-2-22-2-2-2222-2-200002−2i2i−2i2i000000−2i2i00000000000000-222i−2i0000000000
χ372-222-22-2-2-2222-2-2-22-22i2i−2i−2i200002i−2i000000000000002-22-2000000002i−2i000000
χ382-222-22-2-2-2222-2-2-22-22i2i−2i−2i200002i−2i00000000000000-22-2200000000−2i2i000000
χ392-222-22-2-2-2222-2-2-22-2−2i−2i2i2i20000−2i2i000000000000002-22-200000000−2i2i000000
χ402-222-22-2-2-2222-2-2-22-2−2i−2i2i2i20000−2i2i00000000000000-22-22000000002i−2i000000
χ412-222-22-2-2-2-2-2222-2222i2i−2i−2i-22i−2i2i−2i−2i2i0000−2i2i0022-2-20000000000000000000000
χ422-222-22-2-2-2-2-2222-2222i2i−2i−2i-2−2i2i−2i2i−2i2i00002i−2i00-2-2220000000000000000000000
χ432-222-22-2-2-2-2-2222-222−2i−2i2i2i-22i−2i2i−2i2i−2i0000−2i2i00-2-2220000000000000000000000
χ442-222-22-2-2-2-2-2222-222−2i−2i2i2i-2−2i2i−2i2i2i−2i00002i−2i0022-2-20000000000000000000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ46444-4-4-4-440-440-44000000000000000000002i2−2i20000−2i22i200000000000000000000
χ47444-4-4-4-440-440-4400000000000000000000−2i22i200002i2−2i200000000000000000000
χ4844-4-4-444-4400-400-4404i−4i4i−4i00000000000000000000000000000000000000000
χ4944-4-4-444-4400-400-440−4i4i−4i4i00000000000000000000000000000000000000000
χ5044-4-4-444-4-4004004-4000000000000000000002i2−2i22i2−2i20000000000000000000000
χ5144-4-4-444-4-4004004-400000000000000000000−2i22i2−2i22i20000000000000000000000
χ524-444-44-4-4444-4-4-44-440000-40000000000000000000000000000000000000000
χ534-44-44-44-404-40-4400000000000000000000000000002i2−2i2−2i22i20000000000000000
χ544-44-44-44-404-40-440000000000000000000000000000−2i22i22i2−2i20000000000000000
χ554-44-44-44-40-4404-4000000004i−4i−4i4i000000000000000000000000000000000000
χ564-44-44-44-40-4404-400000000−4i4i4i−4i000000000000000000000000000000000000
χ574-4-4-444-44400400-4-4000000000000000000002i2−2i2−2i22i20000000000000000000000
χ584-4-4-444-44400400-4-400000000000000000000−2i22i22i2−2i20000000000000000000000
χ594-4-4-444-44-400-4004404-4-4400000000000000000000000000000000000000000
χ604-4-4-444-44-400-400440-444-400000000000000000000000000000000000000000
χ6188-888-8-8-8000000000000000000000000000000000000000000000000000000
χ628-8-88-8-888000000000000000000000000000000000000000000000000000000

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