Finite Group Databasebeta

← Group #11786265

Character table — Group #11786265

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
χ911-1-1-1111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111-11111-1-1-1-1111-1-11111-1-1-1-1i−ii−ii−ii−ii−ii−ii−ii−i
χ1011-1-1-1111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111-11111-1-1-1-1111-1-11111-1-1-1-1−ii−ii−ii−ii−ii−ii−ii−ii
χ1111-1-1-1111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-11111111-1-1-1-1-1-11111i−ii−i−ii−iii−ii−i−ii−ii
χ1211-1-1-1111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-11111111-1-1-1-1-1-11111−ii−iii−ii−i−ii−iii−ii−i
χ1311-1-1-11-1-11111-1-111-1-1-1-111-1-1-1-11111-1-111-11111-1-1-1-11-1-111-1-1-1-11111i−i−iii−i−iii−i−iii−i−ii
χ1411-1-1-11-1-11111-1-111-1-1-1-111-1-1-1-11111-1-111-11111-1-1-1-11-1-111-1-1-1-11111−iii−i−iii−i−iii−i−iii−i
χ1511-1-1-11-1-11111-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-111111-1-1111111-1-1-1-1i−i−ii−iii−ii−i−ii−iii−i
χ1611-1-1-11-1-11111-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-111111-1-1111111-1-1-1-1−iii−ii−i−ii−iii−ii−i−ii
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
χ2322-2-22-2000022-2-222-2-222-2-20000000022-2-2-2000000002000022-2-2-2-2220000000000000000
χ2422-2-22-2000022-2-222-2-222-2-20000000022-2-2-20000000020000-2-22222-2-20000000000000000
χ2522-2-22-2000022-2-222-2-222-2-200000000-2-222222-2-2-2-222-20000000000000000000000000000
χ2622-2-22-2000022-2-222-2-222-2-200000000-2-2222-2-22222-2-2-20000000000000000000000000000
χ2722-2-2-2222-2-222-2-222-2-2-2-2222222-2-2-2-222-2-2200000000-2-2-222000000000000000000000000
χ2822-2-2-22-2-22222-2-222-2-2-2-222-2-2-2-2222222-2-2200000000-222-2-2000000000000000000000000
χ292-22-2002−22−2222-2-2-22-2000022−2−222−2−22-22-20002i−2i002i−2i02−22−2i2−i2i2−i2i2−i2i2−i20000000000000000
χ302-22-2002−22−2222-2-2-22-2000022−2−222−2−22-22-2000−2i2i00−2i2i02−22−2−i2i2−i2i2−i2i2−i2i20000000000000000
χ312-22-2002−22−2222-2-2-22-2000022−2−222−2−2-22-2202i−2i002i−2i000−22−22i2−i2−i2i2i2−i2−i2i20000000000000000
χ322-22-2002−22−2222-2-2-22-2000022−2−222−2−2-22-220−2i2i00−2i2i000−22−22−i2i2i2−i2−i2i2i2−i20000000000000000
χ332-22-200−22−22222-2-2-22-20000−2−222−2−2222-22-20002i−2i002i−2i0−22−22−i2i2−i2i2−i2i2−i2i20000000000000000
χ342-22-200−22−22222-2-2-22-20000−2−222−2−2222-22-2000−2i2i00−2i2i0−22−22i2−i2i2−i2i2−i2i2−i20000000000000000
χ352-22-200−22−22222-2-2-22-20000−2−222−2−222-22-2202i−2i002i−2i0002−22−2−i2i2i2−i2−i2i2i2−i20000000000000000
χ362-22-200−22−22222-2-2-22-20000−2−222−2−222-22-220−2i2i00−2i2i0002−22−2i2−i2−i2i2i2−i2−i2i20000000000000000
χ372-2-22002−2−2222-22-2-2-22000022−2−2−2−2222-2-2202i−2i00−2i2i000−222−2i2−i2−i2i2−i2i2i2−i20000000000000000
χ382-2-22002−2−2222-22-2-2-22000022−2−2−2−2222-2-220−2i2i002i−2i000−222−2−i2i2i2−i2i2−i2−i2i20000000000000000
χ392-2-22002−2−2222-22-2-2-22000022−2−2−2−222-222-20002i−2i00−2i2i02−2−22i2−i2i2−i2−i2i2−i2i20000000000000000
χ402-2-22002−2−2222-22-2-2-22000022−2−2−2−222-222-2000−2i2i002i−2i02−2−22−i2i2−i2i2i2−i2i2−i20000000000000000
χ412-2-2200−222−222-22-2-2-220000−2−22222−2−22-2-2202i−2i00−2i2i0002−2−22−i2i2i2−i2i2−i2−i2i20000000000000000
χ422-2-2200−222−222-22-2-2-220000−2−22222−2−22-2-220−2i2i002i−2i0002−2−22i2−i2−i2i2−i2i2i2−i20000000000000000
χ432-2-2200−222−222-22-2-2-220000−2−22222−2−2-222-20002i−2i00−2i2i0−222−2−i2i2−i2i2i2−i2i2−i20000000000000000
χ442-2-2200−222−222-22-2-2-220000−2−22222−2−2-222-2000−2i2i002i−2i0−222−2i2−i2i2−i2−i2i2−i2i20000000000000000
χ4544444444441-21-21-2-211-21-21-21-21-21-200000000000000000000000000000022220000-1-1-1-1
χ4644444444441-21-21-2-211-21-21-21-21-21-2000000000000000000000000000000-2-2-2-200001111
χ474444444444-21-21-211-2-21-21-21-21-21-210000000000000000000000000022220000-1-1-1-10000
χ484444444444-21-21-211-2-21-21-21-21-21-2100000000000000000000000000-2-2-2-2000011110000
χ49444444-4-4-4-41-21-21-2-211-21-2-12-12-12-1200000000000000000000000000000022-2-20000-1-111
χ50444444-4-4-4-41-21-21-2-211-21-2-12-12-12-12000000000000000000000000000000-2-222000011-1-1
χ51444444-4-4-4-4-21-21-211-2-21-212-12-12-12-10000000000000000000000000022-2-20000-1-1110000
χ52444444-4-4-4-4-21-21-211-2-21-212-12-12-12-100000000000000000000000000-2-222000011-1-10000
χ5344-4-4-4444-4-41-2-121-22-1-121-21-21-2-12-120000000000000000000000000000002i−2i2i−2i0000−ii−ii
χ5444-4-4-4444-4-41-2-121-22-1-121-21-21-2-12-12000000000000000000000000000000−2i2i−2i2i0000i−ii−i
χ5544-4-4-4444-4-4-212-1-21-122-1-21-21-212-12-1000000000000000000000000002i−2i2i−2i0000−ii−ii0000
χ5644-4-4-4444-4-4-212-1-21-122-1-21-21-212-12-100000000000000000000000000−2i2i−2i2i0000i−ii−i0000
χ5744-4-4-44-4-4441-2-121-22-1-121-2-12-121-21-20000000000000000000000000000002i−2i−2i2i0000−iii−i
χ5844-4-4-44-4-4441-2-121-22-1-121-2-12-121-21-2000000000000000000000000000000−2i2i2i−2i0000i−i−ii
χ5944-4-4-44-4-444-212-1-21-122-1-212-12-1-21-21000000000000000000000000002i−2i−2i2i0000−iii−i0000
χ6044-4-4-44-4-444-212-1-21-122-1-212-12-1-21-2100000000000000000000000000−2i2i2i−2i0000i−i−ii0000
χ618888-8-800002-42-42-4-42-24-2400000000000000000000000000000000000000000000000000
χ628888-8-80000-42-42-422-44-24-200000000000000000000000000000000000000000000000000
χ6388-8-88-800002-4-242-44-22-4-2400000000000000000000000000000000000000000000000000
χ6488-8-88-80000-424-2-42-24-424-200000000000000000000000000000000000000000000000000
χ658-88-80042−4242−422-424-24-4-200002−22−2222−22−222000000000000000000000000000000000000000000
χ668-88-80042−4242−42-42-4-24-2240000−22222−2−22222−2000000000000000000000000000000000000000000
χ678-88-800−4242−42422-424-24-4-20000−2222−22−2222−22000000000000000000000000000000000000000000
χ688-88-800−4242−4242-42-4-24-224000022−2−22222−2−222000000000000000000000000000000000000000000
χ698-8-880042−42−42422-4-2-4-244200002−22−222−2222−22000000000000000000000000000000000000000000
χ708-8-880042−42−4242-42424-2-2-40000−22222−222−2−222000000000000000000000000000000000000000000
χ718-8-8800−424242−422-4-2-4-24420000−2222−222−22−222000000000000000000000000000000000000000000
χ728-8-8800−424242−42-42424-2-2-4000022−2−222−22222−2000000000000000000000000000000000000000000

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