Finite Group Databasebeta

← Group #11782609

Character table — Group #11782609

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122222244444444888888888888181818181818181818181818181818181818181818181818484848484848484848484848
order12224488883366666612121212242424242424242444448888888888888888888844441212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1
χ9222222222222222222222222222222-2-2-2-2-2-2-2-20000000000000000000000000000
χ10222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000
χ112222-2-2000022222222-2-2-2-20000000022-2-20000000000002222-2-2-2-2000000000000
χ122222-2-2000022222222-2-2-2-20000000022-2-2000000000000-2-2-2-22222000000000000
χ132222-2-2000022222222-2-2-2-200000000-2-22200002222-2-2-2-200000000000000000000
χ142222-2-2000022222222-2-2-2-200000000-2-2220000-2-2-2-2222200000000000000000000
χ1522-2-20022−2−22222-2-2-2-200002222−2−2−2−2002-222−2−2000022-2-222−2−222−2−2000000000000
χ1622-2-20022−2−22222-2-2-2-200002222−2−2−2−2002-222−2−20000-2-222−2−222−2−222000000000000
χ1722-2-20022−2−22222-2-2-2-200002222−2−2−2−200-22−2−22222-2-2000022−2−2−2−222000000000000
χ1822-2-20022−2−22222-2-2-2-200002222−2−2−2−200-22−2−222-2-2220000−2−22222−2−2000000000000
χ1922-2-200−2−2222222-2-2-2-20000−2−2−2−22222002-2−2−222000022-2-2−2−222−2−222000000000000
χ2022-2-200−2−2222222-2-2-2-20000−2−2−2−22222002-2−2−2220000-2-22222−2−222−2−2000000000000
χ2122-2-200−2−2222222-2-2-2-20000−2−2−2−2222200-2222−2−222-2-20000−2−22222−2−2000000000000
χ2222-2-200−2−2222222-2-2-2-20000−2−2−2−2222200-2222−2−2-2-222000022−2−2−2−222000000000000
χ232-22-2002−22−222-2-222-2-2000022−2−222−2−22-2002−22−22−22−22−22−200002-22-2000000000000
χ242-22-2002−22−222-2-222-2-2000022−2−222−2−22-2002−22−2−22−22−22−220000-22-22000000000000
χ252-22-2002−22−222-2-222-2-2000022−2−222−2−2-2200−22−222−22−2−22−222-22-20000000000000000
χ262-22-2002−22−222-2-222-2-2000022−2−222−2−2-2200−22−22−22−222−22−2-22-220000000000000000
χ272-22-200−22−2222-2-222-2-20000−2−222−2−2222-200−22−222−22−22−22−20000-22-22000000000000
χ282-22-200−22−2222-2-222-2-20000−2−222−2−2222-200−22−22−22−22−22−2200002-22-2000000000000
χ292-22-200−22−2222-2-222-2-20000−2−222−2−222-22002−22−22−22−2−22−22-22-220000000000000000
χ302-22-200−22−2222-2-222-2-20000−2−222−2−222-22002−22−2−22−222−22−22-22-20000000000000000
χ312-2-222-22-2-2222-2-2-2-222-2-22222-2-2-2-222000000002−2−22−222−22−2−22−222−2000000000000
χ322-2-222-22-2-2222-2-2-2-222-2-22222-2-2-2-22200000000−222−22−2−22−222−22−2−22000000000000
χ332-2-222-2-222-222-2-2-2-222-2-222-2-22222-2-2000000002−2−22−222−2−222−22−2−22000000000000
χ342-2-222-2-222-222-2-2-2-222-2-222-2-22222-2-200000000−222−22−2−222−2−22−222−2000000000000
χ352-2-22-22000022-2-2-2-22222-2-20000000000002-2-222−2−222−2−222−2−222−2−22000000000000
χ362-2-22-22000022-2-2-2-22222-2-20000000000002-2-22−222−2−222−2−222−2−222−2000000000000
χ372-2-22-22000022-2-2-2-22222-2-2000000000000-222-22−2−222−2−22−222−2−222−2000000000000
χ382-2-22-22000022-2-2-2-22222-2-2000000000000-222-2−222−2−222−22−2−222−2−22000000000000
χ3944444444441-21-21-21-21-21-21-21-21-21-200000000000000000000000000220000-1-1-1-1
χ4044444444441-21-21-21-21-21-21-21-21-21-200000000000000000000000000-2-200001111
χ414444444444-21-21-21-21-21-21-21-21-21-210000000000000000000000002200-1-1-1-10000
χ424444444444-21-21-21-21-21-21-21-21-21-21000000000000000000000000-2-20011110000
χ43444444-4-4-4-41-21-21-21-21-21-2-12-12-12-12000000000000000000000000002-20000-1-111
χ44444444-4-4-4-41-21-21-21-21-21-2-12-12-12-1200000000000000000000000000-22000011-1-1
χ45444444-4-4-4-4-21-21-21-21-21-212-12-12-12-10000000000000000000000002-200-1-1110000
χ46444444-4-4-4-4-21-21-21-21-21-212-12-12-12-1000000000000000000000000-220011-1-10000
χ474-4-444-44-4-441-2-12-121-2-121-21-2-12-121-200000000000000000000000000000000−i3i3−i3i3
χ484-4-444-44-4-441-2-12-121-2-121-21-2-12-121-200000000000000000000000000000000i3−i3i3−i3
χ494-4-444-44-4-44-212-12-1-212-1-21-212-12-1-210000000000000000000000000000−i3i3−i3i30000
χ504-4-444-44-4-44-212-12-1-212-1-21-212-12-1-210000000000000000000000000000i3−i3i3−i30000
χ514-4-444-4-444-41-2-12-121-2-121-2-121-21-2-1200000000000000000000000000000000−i3i3i3−i3
χ524-4-444-4-444-41-2-12-121-2-121-2-121-21-2-1200000000000000000000000000000000i3−i3−i3i3
χ534-4-444-4-444-4-212-12-1-212-1-212-1-21-212-10000000000000000000000000000−i3i3i3−i30000
χ544-4-444-4-444-4-212-12-1-212-1-212-1-21-212-10000000000000000000000000000i3−i3−i3i30000
χ558888-8-800002-42-42-42-4-24-2400000000000000000000000000000000000000000000
χ568888-8-80000-42-42-42-424-24-200000000000000000000000000000000000000000000
χ5788-8-8004242−42−422-42-4-24-2400002−222−22−222−222000000000000000000000000000000000000
χ5888-8-8004242−42−42-42-424-24-20000−222−22222−222−2000000000000000000000000000000000000
χ5988-8-800−42−4242422-42-4-24-240000−222−2222−222−22000000000000000000000000000000000000
χ6088-8-800−42−424242-42-424-24-2000022−222−2−222−222000000000000000000000000000000000000
χ618-88-80042−4242−422-4-242-4-2400002−22−2222−22−222000000000000000000000000000000000000
χ628-88-80042−4242−42-424-2-424-20000−22222−2−22222−2000000000000000000000000000000000000
χ638-88-800−4242−42422-4-242-4-240000−2222−22−2222−22000000000000000000000000000000000000
χ648-88-800−4242−4242-424-2-424-2000022−2−22222−2−222000000000000000000000000000000000000
χ658-8-88-8800002-4-24-242-42-4-2400000000000000000000000000000000000000000000
χ668-8-88-880000-424-24-2-42-424-200000000000000000000000000000000000000000000

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