Finite Group Databasebeta

← Group #11788053

Character table — Group #11788053

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111228888999916161818181818181818181818181818181818181818181818181818242424244848484872727272
order1222223666222266224444444488888888888888884444121212124444
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ61111-1-111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ71111-1-111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111
χ81111-1-111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1
χ911-1-11-111-1-1-1-1111-11-111-111-1-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−ii−ii−i1-11-1
χ1011-1-11-111-1-1-1-1111-11-111-111-1-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii−ii−ii-11-11
χ1111-1-11-111-1-1-1-1111-11-111-111-1-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−ii−ii−i-11-11
χ1211-1-11-111-1-1-1-1111-11-111-111-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii−ii−ii1-11-1
χ1311-1-1-1111-1-1-1-111-11-1111-1-1-111-1iiii−i−i−i−i−i−i−i−iiiiii−i−iii−i−ii1-1-11
χ1411-1-1-1111-1-1-1-111-11-1111-1-1-111-1iiii−i−i−i−i−i−i−i−iiiii−iii−i−iii−i-111-1
χ1511-1-1-1111-1-1-1-111-11-1111-1-1-111-1−i−i−i−iiiiiiiii−i−i−i−ii−i−iii−i−ii-111-1
χ1611-1-1-1111-1-1-1-111-11-1111-1-1-111-1−i−i−i−iiiiiiiii−i−i−i−i−iii−i−iii−i1-1-11
χ17222222222222222222-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222-2-2-2-222-2-200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000
χ192222222222-2-2-2-222-2-200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000
χ202222-2-222222222-2-2-2-2-2-2-22222-20000000000000000000000000000
χ212222-2-22222-2-2-2-2-2-22200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000
χ222222-2-22222-2-2-2-2-2-22200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000
χ2322-2-22-222-2-222-2-22-2-220000000022−2−2−2−22222−2−2−2−222000000000000
χ2422-2-22-222-2-222-2-22-2-2200000000−2−22222−2−2−2−22222−2−2000000000000
χ2522-2-22-222-2-2-2-2222-22-2-2-22-2-22220000000000000000000000000000
χ2622-2-2-2222-2-222-2-2-222-20000000022−2−2−2−222−2−22222−2−2000000000000
χ2722-2-2-2222-2-222-2-2-222-200000000−2−22222−2−222−2−2−2−222000000000000
χ2822-2-2-2222-2-2-2-222-22-22-2-2222-2-220000000000000000000000000000
χ292-22-2002-22-22-22-200000002i−2i2i−2i0i2−i2i2−i2i2−i2i2−i22−22−22−22−2000000000000
χ302-22-2002-22-22-22-200000002i−2i2i−2i0−i2i2−i2i2−i2i2−i2i2−22−22−22−22000000000000
χ312-22-2002-22-22-22-20000000−2i2i−2i2i0i2−i2i2−i2i2−i2i2−i2−22−22−22−22000000000000
χ322-22-2002-22-22-22-20000000−2i2i−2i2i0−i2i2−i2i2−i2i2−i2i22−22−22−22−2000000000000
χ332-22-2002-22-2-22-2200002-220000-2000000002i−2i−2i2i2i−2i−2i2i000000000000
χ342-22-2002-22-2-22-2200002-220000-200000000−2i2i2i−2i−2i2i2i−2i000000000000
χ352-22-2002-22-2-22-220000-22-2000022-2-222-2-2200000000000000000000
χ362-22-2002-22-2-22-220000-22-200002-222-2-222-200000000000000000000
χ372-2-22002-2-222-2-2200002-2-200002000000002-2-22-222-2000000000000
χ382-2-22002-2-222-2-2200002-2-20000200000000-222-22-2-22000000000000
χ392-2-22002-2-222-2-220000-2220000-22i−2i−2i2i−2i2i2i−2i00000000000000000000
χ402-2-22002-2-222-2-220000-2220000-2−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ412-2-22002-2-22-222-200000002i−2i−2i2i02−22−2−22−22−i2i2−i2i2i2−i2i2−i2000000000000
χ422-2-22002-2-22-222-200000002i−2i−2i2i0−22−222−22−2i2−i2i2−i2−i2i2−i2i2000000000000
χ432-2-22002-2-22-222-20000000−2i2i2i−2i02−22−2−22−22i2−i2i2−i2−i2i2−i2i2000000000000
χ442-2-22002-2-22-222-20000000−2i2i2i−2i0−22−222−22−2−i2i2−i2i2i2−i2i2−i2000000000000
χ45888888-1-1-1-10000-1-1000000000000000000000000002222-1-1-1-10000
χ46888888-1-1-1-10000-1-100000000000000000000000000-2-2-2-211110000
χ478888-8-8-1-1-1-10000110000000000000000000000000022-2-2-1-1110000
χ488888-8-8-1-1-1-100001100000000000000000000000000-2-22211-1-10000
χ4988-8-88-8-1-1110000-11000000000000000000000000002i−2i2i−2i−ii−ii0000
χ5088-8-88-8-1-1110000-1100000000000000000000000000−2i2i−2i2ii−ii−i0000
χ5188-8-8-88-1-11100001-1000000000000000000000000002i−2i−2i2i−iii−i0000
χ5288-8-8-88-1-11100001-100000000000000000000000000−2i2i2i−2ii−i−ii0000
χ5316-1616-1600-22-2200000000000000000000000000000000000000000000
χ5416-16-161600-222-200000000000000000000000000000000000000000000

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