Finite Group Databasebeta

← Group #284413

Character table — Group #284413

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888222244888888888888882444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-11-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-111111-1-1-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-111-1-1-11111-11
χ71111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-111-1-11-1-111-1-1-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-11-111-1-1-111-1-1111-1
χ911111111111111111-1-1-1-111111-1-11111111111-1-1-1-11111-111-1-1-1-1-11111-1-1-1-1
χ1011111111111111111-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-11111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111-1-1-111-1-111-11
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1111-1-11-1-111-1-11-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-11-1-1-111-1-1-111111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-111111-1-1-1-1-11
χ17222222222-2-22-222-2-22222-20000-2-200000022-2-2000000002000000-200000000
χ18222222222-2-22-222-2-22222-20000-2-2000000-2-22200000000-2000000200000000
χ19222222222-2-22-222-2-2-2-2-2-2-200002200000022-2-200000000-2000000200000000
χ20222222222-2-22-222-2-2-2-2-2-2-2000022000000-2-222000000002000000-200000000
χ2122222222-222-22-2-22-20000-22222002222-2-20000000000000-2-20000000000000
χ2222222222-222-22-2-22-20000-2222200-2-2-2-2-2-20000000000000220000000000000
χ2322222222-222-22-2-22-20000-2-2-2-2-20022-2-22200000000000002-20000000000000
χ2422222222-222-22-2-22-20000-2-2-2-2-200-2-222220000000000000-220000000000000
χ252-22-22-2-22222-2-22-2-2-2000022i2i−2i−2i0000002i−2i0000000000000002i−2i2-2000000000
χ262-22-22-2-22222-2-22-2-2-2000022i2i−2i−2i0000002i−2i000000000000000−2i2i-22000000000
χ272-22-22-2-22222-2-22-2-2-200002−2i−2i2i2i000000−2i2i0000000000000002i−2i-22000000000
χ282-22-22-2-22222-2-22-2-2-200002−2i−2i2i2i000000−2i2i000000000000000−2i2i2-2000000000
χ292-22-22-2-22-2222-2-22-2222-2-2-22i2i−2i−2i2-20000−2i2i00002i2i−2i−2i00000000000000000000
χ302-22-22-2-22-2222-2-22-2222-2-2-2−2i−2i2i2i2-200002i−2i0000−2i−2i2i2i00000000000000000000
χ312-22-22-2-22-2222-2-22-22-2-222-22i2i−2i−2i-220000−2i2i0000−2i−2i2i2i00000000000000000000
χ322-22-22-2-22-2222-2-22-22-2-222-2−2i−2i2i2i-2200002i−2i00002i2i−2i−2i00000000000000000000
χ332-22-22-2-22-2-2-222-222-222-2-220000-220000000000000022-2-20000000000002-200
χ342-22-22-2-22-2-2-222-222-222-2-220000-2200000000000000-2-222000000000000-2200
χ352-22-22-2-22-2-2-222-222-2-2-222200002-20000000000000022-2-2000000000000-2200
χ362-22-22-2-22-2-2-222-222-2-2-222200002-200000000000000-2-2220000000000002-200
χ372-2-2-2-222202-20-20020000002-22-2002-22-2002−22−200002−22−2000000002−22−20000
χ382-2-2-2-222202-20-20020000002-22-2002-22-200−22−220000−22−2200000000−22−220000
χ392-2-2-2-222202-20-20020000002-22-200-22-22002−22−200002−22−200000000−22−220000
χ402-2-2-2-222202-20-20020000002-22-200-22-2200−22−220000−22−22000000002−22−20000
χ412-2-2-2-222202-20-2002000000-22-22002-2-22002−22−20000−22−22000000002−2−220000
χ422-2-2-2-222202-20-2002000000-22-22002-2-2200−22−2200002−22−200000000−222−20000
χ432-2-2-2-222202-20-2002000000-22-2200-222-2002−22−20000−22−2200000000−222−20000
χ442-2-2-2-222202-20-2002000000-22-2200-222-200−22−2200002−22−2000000002−2−220000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ4644-44-4-4-4404-40400-40000004i−4i−4i4i000000000000000000000000000000000000
χ4744-44-4-4-4404-40400-4000000−4i4i4i−4i000000000000000000000000000000000000
χ4844-44-4-4-440-440-40040000000000000000000000000022−22−22220000000000000000
χ4944-44-4-4-440-440-400400000000000000000000000000−222222−220000000000000000
χ5044-4-444-4-440040-4-40000000000000000000000022−2222−2200000000000000000000
χ5144-4-444-4-440040-4-400000000000000000000000−2222−222200000000000000000000
χ5244-4-444-4-4-400-4044004i−4i4i−4i00000000000000000000000000000000000000000
χ5344-4-444-4-4-400-404400−4i4i−4i4i00000000000000000000000000000000000000000
χ544-44-44-4-444-4-4-444-4440000-40000000000000000000000000000000000000000
χ554-4-444-44-4400-40-44004i−4i−4i4i00000000000000000000000000000000000000000
χ564-4-444-44-4400-40-4400−4i4i4i−4i00000000000000000000000000000000000000000
χ574-4-444-44-4-400404-4000000000000000000000002i2−2i2−2i22i200000000000000000000
χ584-4-444-44-4-400404-400000000000000000000000−2i22i22i2−2i200000000000000000000
χ594-4-4-4-44440-440400-400000000000000000022−22−2222000000000000000000000000
χ604-4-4-4-44440-440400-4000000000000000000−222222−22000000000000000000000000
χ61888-8-8-88-8000000000000000000000000000000000000000000000000000000
χ628-888-88-8-8000000000000000000000000000000000000000000000000000000

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