Finite Group Databasebeta

← Group #33111

Character table — Group #33111

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222222224444444444444444444444444444444444888888882444
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
χ5111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11
χ6111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1
χ7111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1
χ8111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-11
χ911111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ1111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111
χ1211111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1
χ1311111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111-11-1
χ1411111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-11-11
χ1511111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-11-11
χ1611111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11-11-1
χ1722222222222222222222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-20000000000000000000000000000
χ1922222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2220000000000000000000000000000
χ21222-2-2-2-2222-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000i2−i2i2−i22−22−20000
χ22222-2-2-2-2222-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000−i2i2−i2i2−22−220000
χ23222-2-2-2-2222-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000i2−i2i2−i2−22−220000
χ24222-2-2-2-2222-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000−i2i2−i2i22−22−20000
χ25222-2-2-2-22-2-2222i2i−2i−2i−2i−2i2i2i00000000000000000000000000i2−i2−i2i22−2−220000
χ26222-2-2-2-22-2-2222i2i−2i−2i−2i−2i2i2i00000000000000000000000000−i2i2i2−i2−222−20000
χ27222-2-2-2-22-2-222−2i−2i2i2i2i2i−2i−2i00000000000000000000000000i2−i2−i2i2−222−20000
χ28222-2-2-2-22-2-222−2i−2i2i2i2i2i−2i−2i00000000000000000000000000−i2i2i2−i22−2−220000
χ2922-2-2-222-200002i−2i2i−2i00002-22-22i−2i0000000022-2-200002i2i−2i−2i000000000000
χ3022-2-2-222-200002i−2i2i−2i00002-22-22i−2i00000000-2-2220000−2i−2i2i2i000000000000
χ3122-2-2-222-200002i−2i2i−2i0000-22-22−2i2i000022-2-200002i2i−2i−2i0000000000000000
χ3222-2-2-222-200002i−2i2i−2i0000-22-22−2i2i0000-2-2220000−2i−2i2i2i0000000000000000
χ3322-2-2-222-20000−2i2i−2i2i00002-22-2−2i2i0000000022-2-20000−2i−2i2i2i000000000000
χ3422-2-2-222-20000−2i2i−2i2i00002-22-2−2i2i00000000-2-22200002i2i−2i−2i000000000000
χ3522-2-2-222-20000−2i2i−2i2i0000-22-222i−2i000022-2-20000−2i−2i2i2i0000000000000000
χ3622-2-2-222-20000−2i2i−2i2i0000-22-222i−2i0000-2-22200002i2i−2i−2i0000000000000000
χ372-222-22-2-2000000002-22-22-2-22002-20000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ382-222-22-2-2000000002-22-22-2-22002-2000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ392-222-22-2-2000000002-22-2-222-200-22002i−2i2i−2i000000002i−2i2i−2i000000000000
χ402-222-22-2-2000000002-22-2-222-200-2200−2i2i−2i2i00000000−2i2i−2i2i000000000000
χ412-222-22-2-200000000-22-222-2-2200-220000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ422-222-22-2-200000000-22-222-2-2200-22000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ432-222-22-2-200000000-22-22-222-2002-2002i−2i2i−2i00000000−2i2i−2i2i000000000000
χ442-222-22-2-200000000-22-22-222-2002-200−2i2i−2i2i000000002i−2i2i−2i000000000000
χ452-2-2-222-222-22-20000000022-2-200002-22i−2i−2i2i2i−2i−2i2i00000000000000000000
χ462-2-2-222-222-22-20000000022-2-200002-2−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ472-2-2-222-222-22-200000000-2-2220000-22000000002-2-222-2-22000000000000
χ482-2-2-222-222-22-200000000-2-2220000-2200000000-222-2-222-2000000000000
χ492-2-2-222-22-22-220000000022-2-20000-222i−2i−2i2i−2i2i2i−2i00000000000000000000
χ502-2-2-222-22-22-220000000022-2-20000-22−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ512-2-2-222-22-22-2200000000-2-22200002-2000000002-2-22-222-2000000000000
χ522-2-2-222-22-22-2200000000-2-22200002-200000000-222-22-2-22000000000000
χ5344-444-4-4-400004-4-44000000000000000000000000000000000000000000
χ5444-444-4-4-40000-444-4000000000000000000000000000000000000000000
χ554-44-44-44-4000000004i−4i−4i4i00000000000000000000000000000000000000
χ564-44-44-44-400000000−4i4i4i−4i00000000000000000000000000000000000000
χ574-4-44-4-4444-4-440000000000000000000000000000000000000000000000
χ584-4-44-4-444-444-40000000000000000000000000000000000000000000000

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