Finite Group Databasebeta

← Group #81613

Character table — Group #81613

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1111222222222222444444444444444446666888812121212121212121212161616162424
order122234444666888848812121212121224242424242424242222444444444488881212121244
χ1111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111
χ5111111111111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-11
χ6111111111111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1111-1
χ7111111111111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11-1
χ8111111111111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-11
χ911111-1-1111111111-1-1-1-1-1-1-1111111-1-1-1-111-1-11-11-1111-11111-1-11-11-1-1-1
χ1011111-1-1111111111-1-1-1-1-1-1-1111111-1-1-1-111-1-1-11-11-1-11-1-1-111-1-1-11-1111
χ1111111-1-1111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-11-1-1-1-11-1-1-1-1111-11-111
χ1211111-1-1111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-11-1111-1111-1-111-11-11-1-1
χ1311111-1-111111-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-11-1-11111-1-1-1-1-1111-1-111-1
χ1411111-1-111111-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-111-1-1-11-111-1-111-111-1-11
χ1511111-1-111111-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1111-1-11-1-1-111111-1-11-1-11-11
χ1611111-1-111111-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-111-111-11-1-111-1-1-111-11-1
χ172222222-2-22220000-20022-2-2-2-2000000002222000000-2-2000000000000
χ182222222-2-22220000-20022-2-2-2-200000000-2-2-2-200000022000000000000
χ1922222-2-2-2-22220000200-2-222-2-20000000022-2-2000000-22000000000000
χ2022222-2-2-2-22220000200-2-222-2-200000000-2-2220000002-2000000000000
χ212222-12222-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000-1-1-1-100
χ222222-12222-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000111100
χ232222-12222-1-1-1-2-2-2-22-2-2-1-1-1-1-1-111111111000022-2-20000000000-1-11100
χ242222-12222-1-1-1-2-2-2-22-2-2-1-1-1-1-1-1111111110000-2-222000000000011-1-100
χ252222-1-2-222-1-1-12222-2-2-21111-1-1-1-1-1-1111100002-22-20000000000-11-1100
χ262222-1-2-222-1-1-12222-2-2-21111-1-1-1-1-1-111110000-22-2200000000001-11-100
χ272222-1-2-222-1-1-1-2-2-2-2-2221111-1-11111-1-1-1-100002-2-220000000000-111-100
χ282222-1-2-222-1-1-1-2-2-2-2-2221111-1-11111-1-1-1-10000-222-200000000001-1-1100
χ2922-2-222-2002-2-222−2−202−22-2000022−2−222−2−22-22-200000000002−22−2000000
χ3022-2-222-2002-2-222−2−202−22-2000022−2−222−2−2-22-220000000000−22−22000000
χ3122-2-222-2002-2-2−2−2220−222-20000−2−222−2−2222-22-20000000000−22−22000000
χ3222-2-222-2002-2-2−2−2220−222-20000−2−222−2−222-22-2200000000002−22−2000000
χ3322-2-22-22002-2-222−2−20−22-22000022−2−2−2−2222-2-2200000000002−2−22000000
χ3422-2-22-22002-2-222−2−20−22-22000022−2−2−2−222-222-20000000000−222−2000000
χ3522-2-22-22002-2-2−2−22202−2-220000−2−22222−2−22-2-220000000000−222−2000000
χ3622-2-22-22002-2-2−2−22202−2-220000−2−22222−2−2-222-200000000002−2−22000000
χ372-2-222002-2-22-22i−2i2i−2i00000002-22i−2i2i−2i0000000000002i−2i002-20000000000
χ382-2-222002-2-22-22i−2i2i−2i00000002-22i−2i2i−2i000000000000−2i2i00-220000000000
χ392-2-222002-2-22-2−2i2i−2i2i00000002-2−2i2i−2i2i0000000000002i−2i00-220000000000
χ402-2-222002-2-22-2−2i2i−2i2i00000002-2−2i2i−2i2i000000000000−2i2i002-20000000000
χ414444-244-4-4-2-2-20000-400-2-2222200000000000000000000000000000000
χ424444-2-4-4-4-4-2-2-2000040022-2-22200000000000000000000000000000000
χ4344-4-4-24-400-2222222−22−22022−22-220000−2−222−2−222000000000000000000000000
χ4444-4-4-24-400-222−22−2222220−2222-22000022−2−222−2−2000000000000000000000000
χ4544-4-4-2-4400-2222222−22−220−22222-20000−2−22222−2−2000000000000000000000000
χ4644-4-4-2-4400-222−22−222222022−222-2000022−2−2−2−222000000000000000000000000
χ474-44-440000-4-44−2i22i22i2−2i2000000000−2i22i22i2−2i20000000000000000000000000000
χ484-44-440000-4-442i2−2i2−2i22i20000000002i2−2i2−2i22i20000000000000000000000000000
χ494-44-4-2000022-2−2i22i22i2−2i200000−2i32i300i2−i2−i2i26−66−6000000000000000000000000
χ504-44-4-2000022-2−2i22i22i2−2i2000002i3−2i300i2−i2−i2i2−66−66000000000000000000000000
χ514-44-4-2000022-22i2−2i2−2i22i200000−2i32i300−i2i2i2−i2−66−66000000000000000000000000
χ524-44-4-2000022-22i2−2i2−2i22i2000002i3−2i300−i2i2i2−i26−66−6000000000000000000000000
χ534-4-44400-44-44-400000000000-4400000000000000000000000000000000
χ544-4-44-2004-42-224i−4i4i−4i0000000-22−2i2i−2i2i0000000000000000000000000000
χ554-4-44-2004-42-22−4i4i−4i4i0000000-222i−2i2i−2i0000000000000000000000000000
χ564-4-44-200-442-22000000000002-2000023−23−2323000000000000000000000000
χ574-4-44-200-442-22000000000002-20000−232323−23000000000000000000000000

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