Finite Group Databasebeta

← Group #168778

Character table — Group #168778

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111111112222444444444488888888888888888888816161616161616161616161616163232
order12222222444444444444444444444444444888888884444448888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-11-1-1111111111-1-11-1-11111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-11-1-111111111-11-1-11-1-1-1-1-11111-1-1
χ61111111111111111111111-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-11-1-11-11111-1-1-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-11-1-11-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1
χ911111111-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1-11111-1-1-1-111-1-1-1111-1-111-1-11-1
χ1011111111-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1111111-1-1-11-1-111-1-111-11
χ1111111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1111111-1-1-1-11-11-11-111-1-1-1-111-11
χ1211111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-111-1-1-1-111111-11-11-1-1-11111-1-11-1
χ1311111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1111111-1-1-1-1-1111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-111-1-1-1-11111-1111-1-111-1-1-1-1111-1
χ1511111111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-11111-1-1-1-1-1-1-1111-1-111-1-1111-1
χ1611111111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-11111-1-1-111111-1-111-1-1-11
χ172222222222222-222-2-2-22-2-20000222200-200000000000-200-200000000000
χ182222222222222-222-2-2-22-2-20000-2-2-2-200-200000000000200200000000000
χ19222222222222-22-2-222-2-22-22222000000-20000000000-200-2000000000000
χ20222222222222-22-2-222-2-22-2-2-2-2-2000000-200000000002002000000000000
χ21222222222222-2-2-2-2-2-22-2-2200000000222220000000000-200-20000000000
χ22222222222222-2-2-2-2-2-22-2-2200000000-2-22-2-2000000000020020000000000
χ2322222222-2-2-2-22-2-2-222-22-2-2000022-2-200200000000000-200200000000000
χ2422222222-2-2-2-22-2-2-222-22-2-20000-2-22200200000000000200-200000000000
χ2522222222-2-2-2-2-2222-2-2-2-22-222-2-200000020000000000-2002000000000000
χ2622222222-2-2-2-2-2222-2-2-2-22-2-2-22200000020000000000200-2000000000000
χ2722222222-2-2-2-2-2-222222-2-220000000022-2-2-20000000000200-20000000000
χ2822222222-2-2-2-2-2-222222-2-2200000000-2-2-2220000000000-20020000000000
χ292222-2-2-2-222-2-202002-200-202-22-200000000022−2−222−2−20000002−22−2000000
χ302222-2-2-2-222-2-202002-200-202-22-2000000000−2−222−2−222000000−22−22000000
χ312222-2-2-2-222-2-202002-200-20-22-2200000000022−2−222−2−2000000−22−22000000
χ322222-2-2-2-222-2-202002-200-20-22-22000000000−2−222−2−2220000002−22−2000000
χ332222-2-2-2-2-2-2220200-2200-202-2-2200000000022−2−2−2−2220000002−2−22000000
χ342222-2-2-2-2-2-2220200-2200-202-2-22000000000−2−22222−2−2000000−222−2000000
χ352222-2-2-2-2-2-2220200-2200-20-222-200000000022−2−2−2−222000000−222−2000000
χ362222-2-2-2-2-2-2220200-2200-20-222-2000000000−2−22222−2−20000002−2−22000000
χ3722-2-222-2-22-22-2202-2000-20000002-22-2000002−22−22−22−200000000002−22−200
χ3822-2-222-2-22-22-2202-2000-20000002-22-200000−22−22−22−220000000000−22−2200
χ3922-2-222-2-22-22-2202-2000-2000000-22-22000002−22−22−22−20000000000−22−2200
χ4022-2-222-2-22-22-2202-2000-2000000-22-2200000−22−22−22−2200000000002−22−200
χ4122-2-222-2-2-22-2220-22000-20000002-2-22000002−22−2−22−2200000000002−2−2200
χ4222-2-222-2-2-22-2220-22000-20000002-2-2200000−22−222−22−20000000000−222−200
χ4322-2-222-2-2-22-2220-22000-2000000-222-2000002−22−2−22−220000000000−222−200
χ4422-2-222-2-2-22-2220-22000-2000000-222-200000−22−222−22−200000000002−2−2200
χ454444-4-4-4-444-4-40-400-4400400000000000000000000000000000000000000
χ464444-4-4-4-4-4-4440-4004-400400000000000000000000000000000000000000
χ4744-4-444-4-44-44-4-40-440004000000000000000000000000000000000000000
χ4844-4-444-4-4-44-44-404-40004000000000000000000000000000000000000000
χ4944-4-4-4-4444-4-44000000000000000000000002-2-222-2-220000000000000000
χ5044-4-4-4-4444-4-4400000000000000000000000-222-2-222-20000000000000000
χ5144-4-4-4-444-444-4000000000000000000000002-2-22-222-20000000000000000
χ5244-4-4-4-444-444-400000000000000000000000-222-22-2-220000000000000000
χ534-44-44-44-40000000000400-4000000004-4000000000000000000000000000
χ544-44-44-44-40000000000400-400000000-44000000000000000000000000000
χ554-44-44-44-40000000000-4004000000000004i−4i000000000000000000000000
χ564-44-44-44-40000000000-400400000000000−4i4i000000000000000000000000
χ578-88-8-88-88000000000000000000000000000000000000000000000000000
χ588-8-888-8-88000000000000000000000000000000000000000000000000000
χ598-8-88-888-8000000000000000000000000000000000000000000000000000

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