Finite Group Databasebeta

← Group #236212

Character table — Group #236212

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222222244444488888888888888888888888888888888161616161616161616161616
order12222222222244444444444444444444444444888888888888888888888888224444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1
χ911111111-1-1-1-111111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-11-1
χ1011111111-1-1-1-111111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-111-1-111-11
χ1111111111-1-1-1-111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-11
χ1211111111-1-1-1-111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-111-1-1-1-1111-1
χ1311111111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1111-1-1-1-111-11
χ1411111111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-11111-1-11-1
χ1511111111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-1-111-1-1111-1
χ1611111111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1111-1-111-1-1-11
χ1722222222222222-2-2-2-2-2-2-222-2-222-2-2-2000000000000000000000000000000002-200000000-22
χ1822222222222222-2-2-2-2-2-2-222-2-222-2-2-200000000000000000000000000000000-22000000002-2
χ19222222222222-2-22222222-2-22-2-2-2-2-2-222-2-222-2-2000000000000000000000000000000000000
χ20222222222222-2-22222222-2-22-2-2-2-2-2-2-2-222-2-222000000000000000000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-22-2-222200000000000000000000000000000000002-22-2000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-22-2-22220000000000000000000000000000000000-22-22000000
χ2322222222-2-2-2-222-2-2-2222222-2-2-2-222-2000000000000000000000000000000002200000000-2-2
χ2422222222-2-2-2-222-2-2-2222222-2-2-2-222-200000000000000000000000000000000-2-20000000022
χ2522222222-2-2-2-2-2-2222-2-2-2-2-2-22-22222-222-2-2-2-222000000000000000000000000000000000000
χ2622222222-2-2-2-2-2-2222-2-2-2-2-2-22-22222-2-2-22222-2-2000000000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-22222-2-2-2222-2-2200000000000000000000000000000000002-2-22000000
χ2822222222-2-2-2-2-2-2-2-2-22222-2-2-2222-2-220000000000000000000000000000000000-222-2000000
χ2922-22-2-2-2222-2-20022-222-2-200-2000000002i−2i002i−2i22−2−222−2−200000000i2i2−i2−i2i2i2−i2−i2000000000000
χ3022-22-2-2-2222-2-20022-222-2-200-2000000002i−2i002i−2i−2−222−2−22200000000−i2−i2i2i2−i2−i2i2i2000000000000
χ3122-22-2-2-2222-2-20022-222-2-200-200000000−2i2i00−2i2i22−2−222−2−200000000−i2−i2i2i2−i2−i2i2i2000000000000
χ3222-22-2-2-2222-2-20022-222-2-200-200000000−2i2i00−2i2i−2−222−2−22200000000i2i2−i2−i2i2i2−i2−i2000000000000
χ3322-22-2-2-22-2-2220022-2-2-22200-2000000002i−2i00−2i2i22−2−2−2−22200000000i2i2−i2−i2−i2−i2i2i2000000000000
χ3422-22-2-2-22-2-2220022-2-2-22200-2000000002i−2i00−2i2i−2−22222−2−200000000−i2−i2i2i2i2i2−i2−i2000000000000
χ3522-22-2-2-22-2-2220022-2-2-22200-200000000−2i2i002i−2i22−2−2−2−22200000000−i2−i2i2i2i2i2−i2−i2000000000000
χ3622-22-2-2-22-2-2220022-2-2-22200-200000000−2i2i002i−2i−2−22222−2−200000000i2i2−i2−i2−i2−i2i2i2000000000000
χ372-22-22-2-222-22-2002-222-22-200-20000002i−2i002i−2i002−22−22−22−200000000i2−i2i2−i2i2−i2i2−i2000000000000
χ382-22-22-2-222-22-2002-222-22-200-20000002i−2i002i−2i00−22−22−22−2200000000−i2i2−i2i2−i2i2−i2i2000000000000
χ392-22-22-2-222-22-2002-222-22-200-2000000−2i2i00−2i2i002−22−22−22−200000000−i2i2−i2i2−i2i2−i2i2000000000000
χ402-22-22-2-222-22-2002-222-22-200-2000000−2i2i00−2i2i00−22−22−22−2200000000i2−i2i2−i2i2−i2i2−i2000000000000
χ412-22-22-2-22-22-22002-22-22-2200-20000002i−2i00−2i2i002−22−2−22−2200000000i2−i2i2−i2−i2i2−i2i2000000000000
χ422-22-22-2-22-22-22002-22-22-2200-20000002i−2i00−2i2i00−22−222−22−200000000−i2i2−i2i2i2−i2i2−i2000000000000
χ432-22-22-2-22-22-22002-22-22-2200-2000000−2i2i002i−2i002−22−2−22−2200000000−i2i2−i2i2i2−i2i2−i2000000000000
χ442-22-22-2-22-22-22002-22-22-2200-2000000−2i2i002i−2i00−22−222−22−200000000i2−i2i2−i2−i2i2−i2i2000000000000
χ452-2-2-2-22222-2-22222-2-22-2-22-2-22-22-22-220000000000000000000000002-2-222-2-22000000000000
χ462-2-2-2-22222-2-22222-2-22-2-22-2-22-22-22-22000000000000000000000000-222-2-222-2000000000000
χ472-2-2-2-22222-2-2222-222-222-2-2-2-222-2-22-200000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ482-2-2-2-22222-2-2222-222-222-2-2-2-222-2-22-20000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ492-2-2-2-22222-2-22-2-22-2-22-2-222222-22-22-2000000002-2-222-2-220000000000000000000000000000
χ502-2-2-2-22222-2-22-2-22-2-22-2-222222-22-22-200000000-222-2-222-20000000000000000000000000000
χ512-2-2-2-22222-2-22-2-2-222-222-222-2-2-222-22000000000000000000000000000000000000002-22-200
χ522-2-2-2-22222-2-22-2-2-222-222-222-2-2-222-2200000000000000000000000000000000000000-22-2200
χ532-2-2-2-2222-222-2222-2-2-222-2-2-22-2-22-2220000000000000000000000002-2-22-222-2000000000000
χ542-2-2-2-2222-222-2222-2-2-222-2-2-22-2-22-222000000000000000000000000-222-22-2-22000000000000
χ552-2-2-2-2222-222-222-2222-2-22-2-2-22-222-2-200000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ562-2-2-2-2222-222-222-2222-2-22-2-2-22-222-2-20000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ572-2-2-2-2222-222-2-2-22-2-2-222-222222-22-2-2000000002-2-22-222-20000000000000000000000000000
χ582-2-2-2-2222-222-2-2-22-2-2-222-222222-22-2-200000000-222-22-2-220000000000000000000000000000
χ592-2-2-2-2222-222-2-2-2-2222-2-2222-2-22-2-222000000000000000000000000000000000000002-2-2200
χ602-2-2-2-2222-222-2-2-2-2222-2-2222-2-22-2-22200000000000000000000000000000000000000-222-200
χ61444-4-44-4-400004-400000004-400000000000000000000000000022−2222−2200000000000000000000
χ62444-4-44-4-400004-400000004-4000000000000000000000000000−2222−222200000000000000000000
χ63444-4-44-4-40000-440000000-440000000000000000000000022−2222−22000000000000000000000000
χ64444-4-44-4-40000-440000000-4400000000000000000000000−2222−2222000000000000000000000000
χ6544-44-4-4-4444-4-400-4-44-4-44400400000000000000000000000000000000000000000000000000
χ6644-44-4-4-44-4-44400-4-4444-4-400400000000000000000000000000000000000000000000000000
χ674-44-44-4-444-44-400-44-4-44-4400400000000000000000000000000000000000000000000000000
χ684-44-44-4-44-44-4400-44-44-44-400400000000000000000000000000000000000000000000000000
χ694-4-4444-4-400004-40000000-440000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ704-4-4444-4-400004-40000000-44000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ714-4-4444-4-40000-4400000004-4000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ724-4-4444-4-40000-4400000004-400000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ7388-8-88-88-8000000000000000000000000000000000000000000000000000000000000000000
χ748-888-8-88-8000000000000000000000000000000000000000000000000000000000000000000

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