Finite Group Databasebeta

← Group #80581

Character table — Group #80581

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112222222244444444444666666668888888888881212121212121616242424
order12223444466644488881212121244448888244121212121224242424444488612244
χ1111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1
χ3111111111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-111
χ4111111111111111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-11-1-1
χ5111111111111-1-111111111111111111-1-1-11-1-1-1-1111111-1-111-1-1-1-1-1
χ6111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-1-1-1-1111
χ7111111111111-1-11-1-1-1-111111111-1-1-1-111-11-1-1-1-1-1-1-1-11111-1-1111-1-1
χ8111111111111-1-11-1-1-1-11111-1-1-1-1111111-11-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ911111-1-11111111-111-1-1-1-11111-1-11111-11-1-1-1-11111-1-1-1111-1-1-11-1-11
χ1011111-1-11111111-111-1-1-1-111-1-111-1-1-1-1-11-1-1-1-11111-1-11-1-1-111-1111-1
χ1111111-1-11111111-1-1-111-1-11111-1-1-1-1-1-11-1-1-1-1-111-1-111-11-1-1111-11-11
χ1211111-1-11111111-1-1-111-1-111-1-11111111-1-1-1-1-111-1-1111-111-1-11-1-11-1
χ1311111-1-111111-1-1-111-1-1-1-11111-1-111111-11-111-1-111-1-1-11-1-1-1-11-111-1
χ1411111-1-111111-1-1-111-1-1-1-111-1-111-1-1-1-11-11-111-1-111-1-11-111111-1-1-11
χ1511111-1-111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-111-1-1-1-111-111111-11-11-1
χ1611111-1-111111-1-1-1-1-111-1-111-1-1111111-111-111-1-1-1-1111-1-1-1-1-1-111-11
χ172222222-2-222200-2000022-2-222220000000-200000000-2-2000000000
χ182222222-2-222200-2000022-2-2-2-2-2-20000000-20000000022000000000
χ1922222-2-2-2-22220020000-2-2-2-222-2-200000002000000002-2000000000
χ2022222-2-2-2-22220020000-2-2-2-2-2-2220000000200000000-22000000000
χ212222-12222-1-1-12222222-1-1-1-100000000222-1-1-1-1-1-1-1-1-1000000-1-1000
χ222222-12222-1-1-1222-2-2-2-2-1-1-1-100000000-2-22-1-1-1-1-1111100000011000
χ232222-12222-1-1-1-2-222222-1-1-1-100000000-2-2-2-11111-1-1-1-100000011000
χ242222-12222-1-1-1-2-22-2-2-2-2-1-1-1-10000000022-2-111111111000000-1-1000
χ252222-1-2-222-1-1-122-222-2-211-1-100000000-22-2111-1-1-1-1110000001-1000
χ262222-1-2-222-1-1-122-2-2-22211-1-1000000002-2-2111-1-111-1-1000000-11000
χ272222-1-2-222-1-1-1-2-2-222-2-211-1-1000000002-221-1-111-1-111000000-11000
χ282222-1-2-222-1-1-1-2-2-2-2-22211-1-100000000-2221-1-11111-1-10000001-1000
χ2922-2-2200-22-2-222-20000000-2200002i2i−2i−2i0000002-20000002i−2i0000000
χ3022-2-2200-22-2-222-20000000-220000−2i−2i2i2i0000002-2000000−2i2i0000000
χ3122-2-2200-22-2-22-220000000-2200002i2i−2i−2i000000-22000000−2i2i0000000
χ3222-2-2200-22-2-22-220000000-220000−2i−2i2i2i000000-220000002i−2i0000000
χ332-22-222i−2i00-22-20002−2−i2i22i−2i002-22i−2i2−22−2000000002−2−i2i20000−i2i200000
χ342-22-222i−2i00-22-20002−2−i2i22i−2i00-22−2i2i−22−22000000002−2−i2i20000i2−i200000
χ352-22-222i−2i00-22-2000−22i2−i22i−2i002-22i−2i−22−2200000000−22i2−i20000i2−i200000
χ362-22-222i−2i00-22-2000−22i2−i22i−2i00-22−2i2i2−22−200000000−22i2−i20000−i2i200000
χ372-22-22−2i2i00-22-20002−2i2−i2−2i2i002-2−2i2i2−22−2000000002−2i2−i20000i2−i200000
χ382-22-22−2i2i00-22-20002−2i2−i2−2i2i00-222i−2i−22−22000000002−2i2−i20000−i2i200000
χ392-22-22−2i2i00-22-2000−22−i2i2−2i2i002-2−2i2i−22−2200000000−22−i2i20000−i2i200000
χ402-22-22−2i2i00-22-2000−22−i2i2−2i2i00-222i−2i2−22−200000000−22−i2i20000i2−i200000
χ414444-244-4-4-2-2-200-40000-2-2220000000000020000000000000000000
χ424444-2-4-4-4-4-2-2-20040000222200000000000-20000000000000000000
χ4344-4-44004-4-4-440000000004-40000000000000000000000000000000
χ4444-4-4-2004-422-2000000000-2200000000000023−2300000000000000000
χ4544-4-4-2004-422-2000000000-22000000000000−232300000000000000000
χ4644-4-4-200-4422-24-400000002-200000000000000-22000000000000000
χ4744-4-4-200-4422-2-4400000002-2000000000000002-2000000000000000
χ484-44-4-24i−4i002-2200022−22−2i22i2−2i2i000000000000000000−22i2−i200000000000
χ494-44-4-24i−4i002-22000−22222i2−2i2−2i2i0000000000000000002−2−i2i200000000000
χ504-44-4-2−4i4i002-2200022−222i2−2i22i−2i000000000000000000−22−i2i200000000000
χ514-44-4-2−4i4i002-22000−2222−2i22i22i−2i0000000000000000002−2i2−i200000000000
χ524-4-44400004-4-4000000000000000−2i22i22i2−2i200000000000000000000000
χ534-4-44400004-4-40000000000000002i2−2i2−2i22i200000000000000000000000
χ548-8-88-40000-444000000000000000000000000000000000000000000

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