Finite Group Databasebeta

← Group #2138

Character table — Group #2138

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11111111222222222222222222222222222288888888
order122244442244888888881616161616161616161616161616161622444444
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ51111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ81111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111
χ91-1-1111-1-11-1-111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-1i−ii−i1-1
χ101-1-1111-1-11-1-111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11−ii−ii-11
χ111-1-1111-1-11-1-111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-1−ii−ii1-1
χ121-1-1111-1-11-1-111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11i−ii−i-11
χ131-1-11-1-111-11-1111-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii1-1i−i−ii-11
χ141-1-11-1-111-11-1111-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii-11−iii−i1-1
χ151-1-11-1-111-11-1111-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1−iii−i-11
χ161-1-11-1-111-11-1111-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-11i−i−ii1-1
χ17222222222222-2-2-2-2-2-2-2-2000000000000000000000000
χ1822222222-2-2-2-20000000022−2−222−2−222−2−222−2−200000000
χ1922222222-2-2-2-200000000−2−222−2−222−2−222−2−22200000000
χ202222-2-2-2-222-2-20000000022−2−222−2−2−2−222−2−22200000000
χ212222-2-2-2-222-2-200000000−2−222−2−22222−2−222−2−200000000
χ222222-2-2-2-2-2-222-2-22222-2-2000000000000000000000000
χ2322-2-22i−2i2i−2i00002−2i2−i2i2−i22−2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ700000000
χ2422-2-22i−2i2i−2i00002−2i2−i2i2−i22−2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ700000000
χ2522-2-22i−2i2i−2i0000−22−i2i2−i2i2−22ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ500000000
χ2622-2-22i−2i2i−2i0000−22−i2i2−i2i2−22−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ500000000
χ2722-2-2−2i2i−2i2i00002−2−i2i2−i2i22−2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ700000000
χ2822-2-2−2i2i−2i2i00002−2−i2i2−i2i22−2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ700000000
χ2922-2-2−2i2i−2i2i0000−22i2−i2i2−i2−22ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ500000000
χ3022-2-2−2i2i−2i2i0000−22i2−i2i2−i2−22−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ500000000
χ312-22-22i−2i−2i2i00002−2i2−i2−i2i2−22ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ500000000
χ322-22-22i−2i−2i2i00002−2i2−i2−i2i2−22−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ500000000
χ332-22-22i−2i−2i2i0000−22−i2i2i2−i22−2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ700000000
χ342-22-22i−2i−2i2i0000−22−i2i2i2−i22−2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ700000000
χ352-22-2−2i2i2i−2i00002−2−i2i2i2−i2−22ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ500000000
χ362-22-2−2i2i2i−2i00002−2−i2i2i2−i2−22−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ500000000
χ372-22-2−2i2i2i−2i0000−22i2−i2−i2i22−2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ700000000
χ382-22-2−2i2i2i−2i0000−22i2−i2−i2i22−2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ700000000
χ392-2-2222-2-22-2-22-2-2-2-22222000000000000000000000000
χ402-2-2222-2-2-222-200000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000
χ412-2-2222-2-2-222-200000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000
χ422-2-22-2-2222-22-200000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000
χ432-2-22-2-2222-22-200000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000
χ442-2-22-2-222-22-22-2-222-2-222000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.