Finite Group Databasebeta

← Group #9130

Character table — Group #9130

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444444444442244448888888888888888888888884444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i1-11-1
χ6111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-11-11
χ7111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-11-11
χ8111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii1-11-1
χ911111111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ1111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111
χ1211111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1
χ1311111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii1-1-11
χ1411111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-111-1
χ1511111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-111-1
χ1611111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i1-1-11
χ1722222222222222-2-2222222-2-2-2-2-2-2-2-20000000000000000000000000000
χ18222222222222-2-222-2-2-2-2-2-222-2-2-2-2220000000000000000000000000000
χ1922222222-2-2-2-222-2-2-2-2-2-222-2-222-2-2220000000000000000000000000000
χ2022222222-2-2-2-2-2-2222222-2-22222-2-2-2-20000000000000000000000000000
χ21222-2-2-2-222i2i−2i−2i002-20000002-200002i−2ii2i2−i2−i222−2−2i2i2−i2−i222−2−2000000000000
χ22222-2-2-2-222i2i−2i−2i002-20000002-200002i−2i−i2−i2i2i2−2−222−i2−i2i2i2−2−222000000000000
χ23222-2-2-2-222i2i−2i−2i00-22000000-220000−2i2i22−2−2−i2−i2i2i2−2−222i2i2−i2−i2000000000000
χ24222-2-2-2-222i2i−2i−2i00-22000000-220000−2i2i−2−222i2i2−i2−i222−2−2−i2−i2i2i2000000000000
χ25222-2-2-2-22−2i−2i2i2i002-20000002-20000−2i2ii2i2−i2−i2−2−222i2i2−i2−i2−2−222000000000000
χ26222-2-2-2-22−2i−2i2i2i002-20000002-20000−2i2i−i2−i2i2i222−2−2−i2−i2i2i222−2−2000000000000
χ27222-2-2-2-22−2i−2i2i2i00-22000000-2200002i−2i22−2−2i2i2−i2−i2−2−222−i2−i2i2i2000000000000
χ28222-2-2-2-22−2i−2i2i2i00-22000000-2200002i−2i−2−222−i2−i2i2i222−2−2i2i2−i2−i2000000000000
χ2922-2-22-22-22i−2i2i−2i2-2002i2i−2i−2i2-20000000000000000000000002−2i2−i22−2i2−i20000
χ3022-2-22-22-22i−2i2i−2i2-2002i2i−2i−2i2-2000000000000000000000000−22−i2i2−22−i2i20000
χ3122-2-22-22-22i−2i2i−2i-2200−2i−2i2i2i-22000000000000000000000000i2−i2−22−i2i22−20000
χ3222-2-22-22-22i−2i2i−2i-2200−2i−2i2i2i-22000000000000000000000000−i2i22−2i2−i2−220000
χ3322-2-22-22-2−2i2i−2i2i2-200−2i−2i2i2i2-20000000000000000000000002−2−i2i22−2−i2i20000
χ3422-2-22-22-2−2i2i−2i2i2-200−2i−2i2i2i2-2000000000000000000000000−22i2−i2−22i2−i20000
χ3522-2-22-22-2−2i2i−2i2i-22002i2i−2i−2i-22000000000000000000000000i2−i22−2−i2i2−220000
χ3622-2-22-22-2−2i2i−2i2i-22002i2i−2i−2i-22000000000000000000000000−i2i2−22i2−i22−20000
χ372-2-22-2-222000000222-22-200-2-22-20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ382-2-22-2-222000000222-22-200-2-22-20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ392-2-22-2-22200000022-22-2200-2-2-220000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000000
χ402-2-22-2-22200000022-22-2200-2-2-220000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000000
χ412-2-22-2-222000000-2-22-22-20022-2200002−22−2−22−22−22−222−22−2000000000000
χ422-2-22-2-222000000-2-22-22-20022-220000−22−222−22−22−22−2−22−22000000000000
χ432-2-22-2-222000000-2-2-22-2200222-200002−22−22−22−2−22−22−22−22000000000000
χ442-2-22-2-222000000-2-2-22-2200222-20000−22−22−22−222−22−22−22−2000000000000
χ452-2-2-222-220000222-20000-2-2-22002-20000002i−2i−2i2i00002i−2i−2i2i000000000000
χ462-2-2-222-220000222-20000-2-2-22002-2000000−2i2i2i−2i0000−2i2i2i−2i000000000000
χ472-2-2-222-22000022-220000-2-22-200-22002i−2i−2i2i0000−2i2i2i−2i0000000000000000
χ482-2-2-222-22000022-220000-2-22-200-2200−2i2i2i−2i00002i−2i−2i2i0000000000000000
χ492-2-2-222-220000-2-22-2000022-2200-22002-2-2200002-2-220000000000000000
χ502-2-2-222-220000-2-22-2000022-2200-2200-222-20000-222-20000000000000000
χ512-2-2-222-220000-2-2-220000222-2002-20000002-2-220000-222-2000000000000
χ522-2-2-222-220000-2-2-220000222-2002-2000000-222-200002-2-22000000000000
χ5344-44-44-4-44-4-440000000000000000000000000000000000000000000000
χ5444-44-44-4-4-444-40000000000000000000000000000000000000000000000
χ554-4444-4-4-400004-4000000-44000000000000000000000000000000000000
χ564-4444-4-4-40000-440000004-4000000000000000000000000000000000000
χ574-44-4-444-4000000004i−4i−4i4i00000000000000000000000000000000000000
χ584-44-4-444-400000000−4i4i4i−4i00000000000000000000000000000000000000

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