Finite Group Databasebeta

← Group #80949

Character table — Group #80949

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1111222222223333444444444444466668888888888812121212121212121216162424
order1222344446664444224448888121212124444446612121224242424244448888121244
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-111111111-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-11-1-1111111111111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1
χ41111111111111111-1-11-1-1-1-1-1-11111111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
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
χ7111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-11-1-11111-11111-1-1-1-1-1-111
χ8111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111-1-11-1-1-1-1-1-1-11111111111-1-1
χ911111-1-111111111111-1-1-111-1-11-1-1111-1-11-111-1-1-111-1-1-111-1-111-1-11-11-1
χ1011111-1-111111111111-1-1-1-1-1111-1-1111-1-1-1111-1-1-1-1-111-111-1-1-1-111-11-11
χ1111111-1-1111111111-1-1-11111-1-11-1-1111-1-1-11-1-1-11111-1-1-1-1-11111-1-1-11-11
χ1211111-1-1111111111-1-1-111-1-1111-1-1111-1-11-1-1-1-111-1-111-1-1-111-1-1111-11-1
χ1311111-1-111111-1-1-1-111-1-1-111-1-11-1-11-1-1111-111-1-1-111-1-11-1-111-1-1111-1-11
χ1411111-1-111111-1-1-1-111-1-1-1-1-1111-1-11-1-111-1111-1-1-1-1-1111-1-11111-1-1-111-1
χ1511111-1-111111-1-1-1-1-1-1-11111-1-11-1-11-1-111-11-1-1-11111-1-1111-1-1-1-111-111-1
χ1611111-1-111111-1-1-1-1-1-1-111-1-1111-1-11-1-1111-1-1-1-111-1-111111-1-111-1-11-1-11
χ172222222-2-2222222200-2000000-222-2-2-2220000-2000000-2000000000000
χ182222222-2-2222-2-2-2-200-2000000-222-222-2-20000-20000002000000000000
χ1922222-2-2-2-22222222002000000-2-2-2-2-2-2-2-2000020000002000000000000
χ2022222-2-2-2-2222-2-2-2-2002000000-2-2-2-2222200002000000-2000000000000
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
χ232222-12222-1-1-10000-2-22-2-22222-1-1-1-10000-2-211-111-1-1-1-10000000001100
χ242222-12222-1-1-10000-2-22-2-2-2-2-2-2-1-1-1-100002211-1111111000000000-1-100
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
χ272222-1-2-222-1-1-10000-2-2-22222-2-2-111-10000-22111-1-1-1-1110000000001-100
χ282222-1-2-222-1-1-10000-2-2-222-2-222-111-100002-2111-1-111-1-1000000000-1100
χ2922-2-222-200-2-222i2i−2i−2i000002−22−202-20002i−2i00000002−22−200000i2−i2i2−i20000
χ3022-2-222-200-2-222i2i−2i−2i00000−22−2202-20002i−2i0000000−22−2200000−i2i2−i2i20000
χ3122-2-222-200-2-22−2i−2i2i2i000002−22−202-2000−2i2i00000002−22−200000−i2i2−i2i20000
χ3222-2-222-200-2-22−2i−2i2i2i00000−22−2202-2000−2i2i0000000−22−2200000i2−i2i2−i20000
χ3322-2-22-2200-2-222i2i−2i−2i000002−2−220-22000−2i2i00000002−2−2200000i2−i2−i2i20000
χ3422-2-22-2200-2-222i2i−2i−2i00000−222−20-22000−2i2i0000000−222−200000−i2i2i2−i20000
χ3522-2-22-2200-2-22−2i−2i2i2i000002−2−220-220002i−2i00000002−2−2200000−i2i2i2−i20000
χ3622-2-22-2200-2-22−2i−2i2i2i00000−222−20-220002i−2i0000000−222−200000i2−i2−i2i20000
χ372-2-222002-22-2-22i−2i2i−2i0002i−2i0000-20022i−2i00000002i−2i00000002-200000000
χ382-2-222002-22-2-22i−2i2i−2i000−2i2i0000-20022i−2i0000000−2i2i0000000-2200000000
χ392-2-222002-22-2-2−2i2i−2i2i0002i−2i0000-2002−2i2i00000002i−2i0000000-2200000000
χ402-2-222002-22-2-2−2i2i−2i2i000−2i2i0000-2002−2i2i0000000−2i2i00000002-200000000
χ412-2-22200-222-2-22i−2i2i−2i2-20000000200-2−2i2i00002-2000000002i−2i0000000000
χ422-2-22200-222-2-22i−2i2i−2i-220000000200-2−2i2i0000-2200000000−2i2i0000000000
χ432-2-22200-222-2-2−2i2i−2i2i2-20000000200-22i−2i00002-200000000−2i2i0000000000
χ442-2-22200-222-2-2−2i2i−2i2i-220000000200-22i−2i0000-22000000002i−2i0000000000
χ454444-244-4-4-2-2-2000000-40000002-2-220000000020000000000000000000
χ464444-2-4-4-4-4-2-2-20000004000000222200000000-20000000000000000000
χ4744-4-4-24-40022-200000000022−2222−220-22000000000000−22−220000000000000
χ4844-4-4-24-40022-2000000000−2222−22220-220000000000002−22−20000000000000
χ4944-4-4-2-440022-200000000022−22−222202-2000000000000−222−20000000000000
χ5044-4-4-2-440022-2000000000−222222−2202-20000000000002−2−220000000000000
χ514-44-440000-44-44-4-4400000000000000000000000000000000000000000
χ524-44-440000-44-4-444-400000000000000000000000000000000000000000
χ534-4-44-2004-4-22200000004i−4i0000200-2000000000−2i2i00000000000000000
χ544-4-44-2004-4-2220000000−4i4i0000200-20000000002i−2i00000000000000000
χ554-4-44-200-44-22200004-40000000-2002000000-2200000000000000000000
χ564-4-44-200-44-2220000-440000000-20020000002-200000000000000000000
χ578-88-8-400004-44000000000000000000000000000000000000000000000

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