Finite Group Databasebeta

← Group #81045

Character table — Group #81045

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1111222222223333444444444444466668888888888812121212121212121216162424
order1222344446664444224448888121212124444446612121224242424244448888121222
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-111111111-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-11111111111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ41111111111111111-1-1-1-11-1-1-1-11111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-11111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-111-1-1
χ6111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-111
χ8111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-11-1-1-1-1-11111111111-1-1
χ911111-1-111111111111-1-1-111-1-11-1-1111-1-11-111-1-1-111-1-1-1-1-11111-1-11-11-1
χ1011111-1-111111111111-1-1-1-1-1111-1-1111-1-1-1111-1-1-1-1-111-1-1-111-1-111-11-11
χ1111111-1-1111111111-1-111-111-1-11-1-1111-1-1-11-1-111-111-1-1-111-1-111-1-1-11-11
χ1211111-1-1111111111-1-111-1-1-1111-1-1111-1-11-1-1-111-1-1-111-111-1-1-1-1111-11-1
χ1311111-1-111111-1-1-1-111-1-1-111-1-11-1-11-1-1111-111-1-1-111-1-1111-1-1-1-1111-1-11
χ1411111-1-111111-1-1-1-111-1-1-1-1-1111-1-11-1-111-1111-1-1-1-1-111111-1-111-1-1-111-1
χ1511111-1-111111-1-1-1-1-1-111-111-1-11-1-11-1-111-11-1-111-111-1-11-1-111-1-111-111-1
χ1611111-1-111111-1-1-1-1-1-111-1-1-1111-1-11-1-1111-1-1-111-1-1-1111-1-11111-1-11-1-11
χ172222222-2-222222220000-20000-222-2-2-222000000-20000-2000000000000
χ182222222-2-2222-2-2-2-20000-20000-222-222-2-2000000-200002000000000000
χ1922222-2-2-2-22222222000020000-2-2-2-2-2-2-2-2000000200002000000000000
χ2022222-2-2-2-2222-2-2-2-2000020000-2-2-2-2222200000020000-2000000000000
χ212222-12222-1-1-10000222222222-1-1-1-1000022-1-1-1-1-1-1-1-1-1000000000-1-100
χ222222-12222-1-1-1000022222-2-2-2-2-1-1-1-10000-2-2-1-1-1-1-111110000000001100
χ232222-12222-1-1-10000-2-2-2-222222-1-1-1-10000-2-21111-1-1-1-1-10000000001100
χ242222-12222-1-1-10000-2-2-2-22-2-2-2-2-1-1-1-10000221111-11111000000000-1-100
χ252222-1-2-222-1-1-1000022-2-2-222-2-2-111-100002-2-1-1111-1-111000000000-1100
χ262222-1-2-222-1-1-1000022-2-2-2-2-222-111-10000-22-1-111111-1-10000000001-100
χ272222-1-2-222-1-1-10000-2-222-222-2-2-111-10000-2211-1-11-1-1110000000001-100
χ282222-1-2-222-1-1-10000-2-222-2-2-222-111-100002-211-1-1111-1-1000000000-1100
χ2922-2-222-200-22-22i2i−2i−2i00000i2−i2i2−i202-20002i−2i0000000i2−i2i2−i2000002−22−20000
χ3022-2-222-200-22-22i2i−2i−2i00000−i2i2−i2i202-20002i−2i0000000−i2i2−i2i200000−22−220000
χ3122-2-222-200-22-2−2i−2i2i2i00000i2−i2i2−i202-2000−2i2i0000000i2−i2i2−i200000−22−220000
χ3222-2-222-200-22-2−2i−2i2i2i00000−i2i2−i2i202-2000−2i2i0000000−i2i2−i2i2000002−22−20000
χ3322-2-22-2200-22-22i2i−2i−2i00000i2−i2−i2i20-22000−2i2i0000000i2−i2−i2i2000002−2−220000
χ3422-2-22-2200-22-22i2i−2i−2i00000−i2i2i2−i20-22000−2i2i0000000−i2i2i2−i200000−222−20000
χ3522-2-22-2200-22-2−2i−2i2i2i00000i2−i2−i2i20-220002i−2i0000000i2−i2−i2i200000−222−20000
χ3622-2-22-2200-22-2−2i−2i2i2i00000−i2i2i2−i20-220002i−2i0000000−i2i2i2−i2000002−2−220000
χ372-22-22002-22-2-22i−2i2i−2i002i−2i00000-20022i−2i0000002i−2i0000002-20000000000
χ382-22-22002-22-2-22i−2i2i−2i00−2i2i00000-20022i−2i000000−2i2i000000-220000000000
χ392-22-22002-22-2-2−2i2i−2i2i002i−2i00000-2002−2i2i0000002i−2i000000-220000000000
χ402-22-22002-22-2-2−2i2i−2i2i00−2i2i00000-2002−2i2i000000−2i2i0000002-20000000000
χ412-22-2200-222-2-22i−2i2i−2i2-20000000200-2−2i2i00002-200000000002i−2i00000000
χ422-22-2200-222-2-22i−2i2i−2i-220000000200-2−2i2i0000-220000000000−2i2i00000000
χ432-22-2200-222-2-2−2i2i−2i2i2-20000000200-22i−2i00002-20000000000−2i2i00000000
χ442-22-2200-222-2-2−2i2i−2i2i-220000000200-22i−2i0000-2200000000002i−2i00000000
χ454444-244-4-4-2-2-200000000-400002-2-220000000000200000000000000000
χ464444-2-4-4-4-4-2-2-2000000004000022220000000000-200000000000000000
χ4744-4-4-24-4002-220000000002i2−2i22i2−2i20-22000000000000−i2i2−i2i20000000000000
χ4844-4-4-24-4002-22000000000−2i22i2−2i22i20-22000000000000i2−i2i2−i20000000000000
χ4944-4-4-2-44002-220000000002i2−2i2−2i22i202-2000000000000−i2i2i2−i20000000000000
χ5044-4-4-2-44002-22000000000−2i22i22i2−2i202-2000000000000i2−i2−i2i20000000000000
χ514-44-4-2004-4-2220000004i−4i00000200-200000000−2i2i000000000000000000
χ524-44-4-2004-4-222000000−4i4i00000200-2000000002i−2i000000000000000000
χ534-44-4-200-44-22200004-40000000-2002000000-2200000000000000000000
χ544-44-4-200-44-2220000-440000000-20020000002-200000000000000000000
χ554-4-4440000-4-444-4-4400000000000000000000000000000000000000000
χ564-4-4440000-4-44-444-400000000000000000000000000000000000000000
χ578-8-88-4000044-4000000000000000000000000000000000000000000000

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