Finite Group Databasebeta

← Group #168621

Character table — Group #168621

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111111112222444444444488888888888888888888816161616161616161616161616163232
order12222222222244444444444444444444444888888884444448888888824
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ511111111111111111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1
χ711111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1
χ811111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ911111111-1-1-1-111-1-1-1-11111-111-1-111-1-111-1-11111-1-1-1-11-11-11-111-1-111-1-11-1
χ1011111111-1-1-1-111-1-1-1-11111-111-1-111-1-111-1-1-1-1-1-111111-11-11-1-1-111-1-111-11
χ1111111111-1-1-1-111-1-1-1-11111-111-1-1-1-111-1-1111111-1-1-1-11-1-11-1111-1-1-1-111-11
χ1211111111-1-1-1-111-1-1-1-11111-111-1-1-1-111-1-111-1-1-1-111111-1-11-11-1-11111-1-11-1
χ1311111111-1-1-1-111-1-1-1-11111-1-1-11111-1-1-1-1111111-1-1-1-1-111-1-11-1-111-1-1111-1
χ1411111111-1-1-1-111-1-1-1-11111-1-1-11111-1-1-1-111-1-1-1-11111-111-1-1111-1-111-1-1-11
χ1511111111-1-1-1-111-1-1-1-11111-1-1-111-1-11111-1-11111-1-1-1-1-11-111-1-1-11111-1-1-11
χ1611111111-1-1-1-111-1-1-1-11111-1-1-111-1-11111-1-1-1-1-1-11111-11-111-111-1-1-1-1111-1
χ172222222222222-222-2-2-2-22-2-2000000002222000000000000-2-20000000000
χ182222222222222-222-2-2-2-22-2-200000000-2-2-2-2000000000000220000000000
χ19222222222222-22-2-222-2-2-22-222220000000000000000-2-200000000000000
χ20222222222222-22-2-222-2-2-22-2-2-2-2-200000000000000002200000000000000
χ21222222222222-2-2-2-2-2-222-2-220000222200000000000000-2-2000000000000
χ22222222222222-2-2-2-2-2-222-2-220000-2-2-2-20000000000000022000000000000
χ2322222222-2-2-2-22-2-2-222-2-22-220000000022-2-2000000000000-220000000000
χ2422222222-2-2-2-22-2-2-222-2-22-2200000000-2-2220000000000002-20000000000
χ2522222222-2-2-2-2-2222-2-2-2-2-22222-2-20000000000000000-2200000000000000
χ2622222222-2-2-2-2-2222-2-2-2-2-222-2-22200000000000000002-200000000000000
χ2722222222-2-2-2-2-2-2222222-2-2-2000022-2-200000000000000-22000000000000
χ2822222222-2-2-2-2-2-2222222-2-2-20000-2-222000000000000002-2000000000000
χ292-22-22-2-2222-2-202002-2000-202i−2i2i−2i00000000i2i2−i2−i2i2i2−i2−i20000002−22−2000000
χ302-22-22-2-2222-2-202002-2000-202i−2i2i−2i00000000−i2−i2i2i2−i2−i2i2i2000000−22−22000000
χ312-22-22-2-2222-2-202002-2000-20−2i2i−2i2i00000000i2i2−i2−i2i2i2−i2−i2000000−22−22000000
χ322-22-22-2-2222-2-202002-2000-20−2i2i−2i2i00000000−i2−i2i2i2−i2−i2i2i20000002−22−2000000
χ332-22-22-2-22-2-2220200-22000-202i−2i−2i2i00000000i2i2−i2−i2−i2−i2i2i20000002−2−22000000
χ342-22-22-2-22-2-2220200-22000-202i−2i−2i2i00000000−i2−i2i2i2i2i2−i2−i2000000−222−2000000
χ352-22-22-2-22-2-2220200-22000-20−2i2i2i−2i00000000i2i2−i2−i2−i2−i2i2i2000000−222−2000000
χ362-22-22-2-22-2-2220200-22000-20−2i2i2i−2i00000000−i2−i2i2i2i2i2−i2−i20000002−2−22000000
χ372-2-22-22-222-22-2202-20000-200000000002i−2i2i−2i2−22−22−22−20000000000i2−i2i2−i200
χ382-2-22-22-222-22-2202-20000-200000000002i−2i2i−2i−22−22−22−220000000000−i2i2−i2i200
χ392-2-22-22-222-22-2202-20000-20000000000−2i2i−2i2i2−22−22−22−20000000000−i2i2−i2i200
χ402-2-22-22-222-22-2202-20000-20000000000−2i2i−2i2i−22−22−22−220000000000i2−i2i2−i200
χ412-2-22-22-22-22-2220-220000-200000000002i−2i−2i2i2−22−2−22−220000000000i2−i2−i2i200
χ422-2-22-22-22-22-2220-220000-200000000002i−2i−2i2i−22−222−22−20000000000−i2i2i2−i200
χ432-2-22-22-22-22-2220-220000-20000000000−2i2i2i−2i2−22−2−22−220000000000−i2i2i2−i200
χ442-2-22-22-22-22-2220-220000-20000000000−2i2i2i−2i−22−222−22−20000000000i2−i2−i2i200
χ4544-4-4-4-4444-4-44000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ4644-4-4-4-4444-4-4400000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ4744-4-4-4-444-444-4000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ4844-4-4-4-444-444-400000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ494-444-4-44-400000000004-40000000004i−4i0000000000000000000000000000
χ504-444-4-44-400000000004-4000000000−4i4i0000000000000000000000000000
χ514-444-4-44-40000000000-4400000004i−4i000000000000000000000000000000
χ524-444-4-44-40000000000-440000000−4i4i000000000000000000000000000000
χ534-44-44-4-4444-4-40-400-4400040000000000000000000000000000000000000
χ544-44-44-4-44-4-4440-4004-400040000000000000000000000000000000000000
χ554-4-44-44-444-44-4-40-440000400000000000000000000000000000000000000
χ564-4-44-44-44-44-44-404-40000400000000000000000000000000000000000000
χ57888-8-88-8-8000000000000000000000000000000000000000000000000000
χ5888-888-8-8-8000000000000000000000000000000000000000000000000000
χ598-8-8-8888-8000000000000000000000000000000000000000000000000000

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