Finite Group Databasebeta

← Group #168513

Character table — Group #168513

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111111112222444444444488888888888888888888816161616161616161616161616163232
order12222222222244444444444444444444444888888882244448888888824
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-111111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1
χ61111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ71111111111111111111111-1-1-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1
χ911111111-1-1-1-11-1-11-1-1111111-1-1-111-1-111-1-11111-1-1-1-11-11-11-111-1-111-1-11-1
χ1011111111-1-1-1-11-1-11-1-1111111-1-1-111-1-111-1-1-1-1-1-111111-11-11-1-1-111-1-111-11
χ1111111111-1-1-1-11-1-11-1-1111111-1-1-1-1-111-1-1111111-1-1-1-1-111-1-1111-1-1-1-111-11
χ1211111111-1-1-1-11-1-11-1-1111111-1-1-1-1-111-1-111-1-1-1-11111-111-1-11-1-11111-1-11-1
χ1311111111-1-1-1-11-1-11-1-11111-1-111-111-1-1-1-1111111-1-1-1-1-11-111-1-1-11111-1-1-11
χ1411111111-1-1-1-11-1-11-1-11111-1-111-111-1-1-1-111-1-1-1-11111-11-111-111-1-1-1-1111-1
χ1511111111-1-1-1-11-1-11-1-11111-1-111-1-1-11111-1-11111-1-1-1-11-1-11-11-1-111-1-1111-1
χ1611111111-1-1-1-11-1-11-1-11111-1-111-1-1-11111-1-1-1-1-1-111111-1-11-1111-1-111-1-1-11
χ17222222222222222-2-2-2-2-22-20000-222220000000000000000-2-20000000000
χ18222222222222222-2-2-2-2-22-20000-2-2-2-2-20000000000000000220000000000
χ19222222222222-2-2-2222-2-2-222222-2000000000000000000-2-2000000000000
χ20222222222222-2-2-2222-2-2-22-2-2-2-2-200000000000000000022000000000000
χ21222222222222-2-2-2-2-2-222-2-2000020000222200000000-2-200000000000000
χ22222222222222-2-2-2-2-2-222-2-2000020000-2-2-2-2000000002200000000000000
χ2322222222-2-2-2-22-2-2-222-2-22-20000222-2-20000000000000000-220000000000
χ2422222222-2-2-2-22-2-2-222-2-22-200002-2-22200000000000000002-20000000000
χ2522222222-2-2-2-2-2222-2-2-2-2-2222-2-22000000000000000000-22000000000000
χ2622222222-2-2-2-2-2222-2-2-2-2-22-2-22220000000000000000002-2000000000000
χ2722222222-2-2-2-2-222-22222-2-20000-2000022-2-200000000-2200000000000000
χ2822222222-2-2-2-2-222-22222-2-20000-20000-2-222000000002-200000000000000
χ2922-22-2-2-2222-2-222-200000-20000002i−2i2i−2i000022−2−222−2−20000000000i2−i2i2−i200
χ3022-22-2-2-2222-2-222-200000-20000002i−2i2i−2i0000−2−222−2−2220000000000−i2i2−i2i200
χ3122-22-2-2-2222-2-222-200000-2000000−2i2i−2i2i000022−2−222−2−20000000000−i2i2−i2i200
χ3222-22-2-2-2222-2-222-200000-2000000−2i2i−2i2i0000−2−222−2−2220000000000i2−i2i2−i200
χ3322-22-2-2-22-2-2222-2200000-20000002i−2i−2i2i000022−2−2−2−2220000000000i2−i2−i2i200
χ3422-22-2-2-22-2-2222-2200000-20000002i−2i−2i2i0000−2−22222−2−20000000000−i2i2i2−i200
χ3522-22-2-2-22-2-2222-2200000-2000000−2i2i2i−2i000022−2−2−2−2220000000000−i2i2i2−i200
χ3622-22-2-2-22-2-2222-2200000-2000000−2i2i2i−2i0000−2−22222−2−20000000000i2−i2−i2i200
χ372-2-2-222-222-22-2000-22-200022-22-20000000002−22−22−22−20000002−22−2000000
χ382-2-2-222-222-22-2000-22-200022-22-2000000000−22−22−22−22000000−22−22000000
χ392-2-2-222-222-22-2000-22-20002-22-220000000002−22−22−22−2000000−22−22000000
χ402-2-2-222-222-22-2000-22-20002-22-22000000000−22−22−22−220000002−22−2000000
χ412-2-2-222-22-22-22000-2-2200022-2-220000000002−22−2−22−220000002−2−22000000
χ422-2-2-222-22-22-22000-2-2200022-2-22000000000−22−222−22−2000000−222−2000000
χ432-2-2-222-22-22-22000-2-220002-222-20000000002−22−2−22−22000000−222−2000000
χ442-2-2-222-22-22-22000-2-220002-222-2000000000−22−222−22−20000002−2−22000000
χ4544-44-4-4-4444-4-4-4-4400000400000000000000000000000000000000000000
χ4644-44-4-4-44-4-444-44-400000400000000000000000000000000000000000000
χ4744-4-44-44-400000000004-400000000000004i−4i000000000000000000000000
χ4844-4-44-44-400000000004-40000000000000−4i4i000000000000000000000000
χ4944-4-44-44-40000000000-44000000000004i−4i00000000000000000000000000
χ5044-4-44-44-40000000000-4400000000000−4i4i00000000000000000000000000
χ514-44-4-4-4444-4-44000000000000000000000002-2-222-2-220000000000000000
χ524-44-4-4-4444-4-4400000000000000000000000-222-2-222-20000000000000000
χ534-44-4-4-444-444-4000000000000000000000002-2-22-222-20000000000000000
χ544-44-4-4-444-444-400000000000000000000000-222-22-2-220000000000000000
χ554-4-4-444-444-44-40004-44000-40000000000000000000000000000000000000
χ564-4-4-444-44-44-4400044-4000-40000000000000000000000000000000000000
χ57888-8-88-8-8000000000000000000000000000000000000000000000000000
χ588-8888-8-8-8000000000000000000000000000000000000000000000000000
χ598-8-88-888-8000000000000000000000000000000000000000000000000000

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