Finite Group Databasebeta

← Group #11791017

Character table — Group #11791017

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222224444444488888888888899991818181818181818181818181818181818181818181824242424242424244848484848484848
order12224488883366666612121212242424242424242422224444444444888888888888444444441212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ91-1-11-1111-1-111-1-1-11-11-1-1111111-1-1-1-111-1-11iiii−i−i−i−i-111-1-1iiii−i−i−i−ii−ii−i1-11-1i−ii−i1-11-1
χ101-1-11-1111-1-111-1-1-11-11-1-1111111-1-1-1-111-1-11iiii−i−i−i−i-111-1-1iiii−i−i−i−i−ii−ii-11-11−ii−ii-11-11
χ111-1-11-1111-1-111-1-1-11-11-1-1111111-1-1-1-111-1-11−i−i−i−iiiii-111-1-1−i−i−i−iiiiii−ii−i-11-11i−ii−i-11-11
χ121-1-11-1111-1-111-1-1-11-11-1-1111111-1-1-1-111-1-11−i−i−i−iiiii-111-1-1−i−i−i−iiiii−ii−ii1-11-1−ii−ii1-11-1
χ131-1-11-11-1-11111-1-1-11-11-1-111-1-1-1-1111111-1-11iiii−i−i−i−i-1-1-111−i−i−i−iiiiii−i−ii1-1-11i−i−ii1-1-11
χ141-1-11-11-1-11111-1-1-11-11-1-111-1-1-1-1111111-1-11iiii−i−i−i−i-1-1-111−i−i−i−iiiii−iii−i-111-1−iii−i-111-1
χ151-1-11-11-1-11111-1-1-11-11-1-111-1-1-1-1111111-1-11−i−i−i−iiiii-1-1-111iiii−i−i−i−ii−i−ii-111-1i−i−ii-111-1
χ161-1-11-11-1-11111-1-1-11-11-1-111-1-1-1-1111111-1-11−i−i−i−iiiii-1-1-111iiii−i−i−i−i−iii−i1-1-11−iii−i1-1-11
χ17222222222222222222222222222222-2-2-2-2-200000000-2-2-2-2-2000000000000000000000000
χ18222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-200000000-22222000000000000000000000000
χ192222-2-2000022222222-2-2-2-2000000002222-222-2-222-2-2-20000000000000000000000000000
χ202222-2-2000022222222-2-2-2-2000000002222-2-2-222-2-222-20000000000000000000000000000
χ212222-2-2000022222222-2-2-2-200000000-2-2-2-22000000002000022-2-222-2-20000000000000000
χ222222-2-2000022222222-2-2-2-200000000-2-2-2-220000000020000-2-222-2-2220000000000000000
χ2322-2-2002−22−22222-2-2-2-2000022−2−222−2−22-22-20002-2002-202−22−22−22−22−22−20000000000000000
χ2422-2-2002−22−22222-2-2-2-2000022−2−222−2−22-22-2000-2200-2202−22−2−22−22−22−220000000000000000
χ2522-2-2002−22−22222-2-2-2-2000022−2−222−2−2-22-2202-2002-2000−22−222−2−222−2−220000000000000000
χ2622-2-2002−22−22222-2-2-2-2000022−2−222−2−2-22-220-2200-22000−22−22−222−2−222−20000000000000000
χ2722-2-200−22−222222-2-2-2-20000−2−222−2−2222-22-20002-2002-20−22−22−22−22−22−220000000000000000
χ2822-2-200−22−222222-2-2-2-20000−2−222−2−2222-22-2000-2200-220−22−222−22−22−22−20000000000000000
χ2922-2-200−22−222222-2-2-2-20000−2−222−2−222-22-2202-2002-20002−22−2−222−2−222−20000000000000000
χ3022-2-200−22−222222-2-2-2-20000−2−222−2−222-22-220-2200-220002−22−22−2−222−2−220000000000000000
χ312-22-2002−2−2222-2-22-22-2000022−2−2−2−2222-2-220002i−2i00−2i2i02−2−22i2−i2i2−i2−i2i2−i2i20000000000000000
χ322-22-2002−2−2222-2-22-22-2000022−2−2−2−2222-2-22000−2i2i002i−2i02−2−22−i2i2−i2i2i2−i2i2−i20000000000000000
χ332-22-2002−2−2222-2-22-22-2000022−2−2−2−222-222-202i−2i00−2i2i000−222−2i2−i2−i2i2−i2i2i2−i20000000000000000
χ342-22-2002−2−2222-2-22-22-2000022−2−2−2−222-222-20−2i2i002i−2i000−222−2−i2i2i2−i2i2−i2−i2i20000000000000000
χ352-22-200−222−222-2-22-22-20000−2−22222−2−22-2-220002i−2i00−2i2i0−222−2−i2i2−i2i2i2−i2i2−i20000000000000000
χ362-22-200−222−222-2-22-22-20000−2−22222−2−22-2-22000−2i2i002i−2i0−222−2i2−i2i2−i2−i2i2−i2i20000000000000000
χ372-22-200−222−222-2-22-22-20000−2−22222−2−2-222-202i−2i00−2i2i0002−2−22−i2i2i2−i2i2−i2−i2i20000000000000000
χ382-22-200−222−222-2-22-22-20000−2−22222−2−2-222-20−2i2i002i−2i0002−2−22i2−i2−i2i2−i2i2i2−i20000000000000000
χ392-2-222-2000022-2-2-22-2222-2-20000000022-2-2-22i2i−2i−2i−2i−2i2i2i20000000000000000000000000000
χ402-2-222-2000022-2-2-22-2222-2-20000000022-2-2-2−2i−2i2i2i2i2i−2i−2i20000000000000000000000000000
χ412-2-222-2000022-2-2-22-2222-2-200000000-2-222200000000-200002i2i−2i−2i−2i−2i2i2i0000000000000000
χ422-2-222-2000022-2-2-22-2222-2-200000000-2-222200000000-20000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ432-2-22-2222-2-222-2-2-22-22-2-2222222-2-2-2-2-2-222-2000000002-2-222000000000000000000000000
χ442-2-22-22-2-22222-2-2-22-22-2-222-2-2-2-22222-2-222-200000000222-2-2000000000000000000000000
χ4544444444441-21-21-2-21-21-211-21-21-21-200000000000000000000000000000022220000-1-1-1-1
χ4644444444441-21-21-2-21-21-211-21-21-21-2000000000000000000000000000000-2-2-2-200001111
χ474444444444-21-21-211-21-21-2-21-21-21-210000000000000000000000000022220000-1-1-1-10000
χ484444444444-21-21-211-21-21-2-21-21-21-2100000000000000000000000000-2-2-2-2000011110000
χ49444444-4-4-4-41-21-21-2-21-21-21-12-12-12-1200000000000000000000000000000022-2-20000-1-111
χ50444444-4-4-4-41-21-21-2-21-21-21-12-12-12-12000000000000000000000000000000-2-222000011-1-1
χ51444444-4-4-4-4-21-21-211-21-21-22-12-12-12-10000000000000000000000000022-2-20000-1-1110000
χ52444444-4-4-4-4-21-21-211-21-21-22-12-12-12-100000000000000000000000000-2-222000011-1-10000
χ534-4-44-4444-4-41-2-12-1-2212-1-211-21-2-12-120000000000000000000000000000002-22-20000-11-11
χ544-4-44-4444-4-41-2-12-1-2212-1-211-21-2-12-12000000000000000000000000000000-22-2200001-11-1
χ554-4-44-4444-4-4-212-121-1-2-121-2-21-212-12-1000000000000000000000000002i−2i2i−2i0000−ii−ii0000
χ564-4-44-4444-4-4-212-121-1-2-121-2-21-212-12-100000000000000000000000000−2i2i−2i2i0000i−ii−i0000
χ574-4-44-44-4-4441-2-12-1-2212-1-21-12-121-21-20000000000000000000000000000002-2-220000-111-1
χ584-4-44-44-4-4441-2-12-1-2212-1-21-12-121-21-2000000000000000000000000000000-222-200001-1-11
χ594-4-44-44-4-444-212-121-1-2-121-22-12-1-21-21000000000000000000000000002i−2i−2i2i0000−iii−i0000
χ604-4-44-44-4-444-212-121-1-2-121-22-12-1-21-2100000000000000000000000000−2i2i2i−2i0000i−i−ii0000
χ618888-8-800002-42-42-4-424-24-200000000000000000000000000000000000000000000000000
χ628888-8-80000-42-42-422-4-24-2400000000000000000000000000000000000000000000000000
χ6388-8-80042−4242−422-42-4-244-200002−22−2222−22−222000000000000000000000000000000000000000000
χ6488-8-80042−4242−42-42-424-2-240000−22222−2−22222−2000000000000000000000000000000000000000000
χ6588-8-800−4242−42422-42-4-244-20000−2222−22−2222−22000000000000000000000000000000000000000000
χ6688-8-800−4242−4242-42-424-2-24000022−2−22222−2−222000000000000000000000000000000000000000000
χ678-88-80042−42−42422-4-2424-4-200002−22−222−2222−22000000000000000000000000000000000000000000
χ688-88-80042−42−4242-424-2-4-2240000−22222−222−2−222000000000000000000000000000000000000000000
χ698-88-800−424242−422-4-2424-4-20000−2222−222−22−222000000000000000000000000000000000000000000
χ708-88-800−424242−42-424-2-4-224000022−2−222−22222−2000000000000000000000000000000000000000000
χ718-8-888-800002-4-24-2-442-424-200000000000000000000000000000000000000000000000000
χ728-8-888-80000-424-242-2-42-4-2400000000000000000000000000000000000000000000000000

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