Finite Group Databasebeta

← Group #11787979

Character table — Group #11787979

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444412121212121212122424242424242424242424242424242424242424363636367272
order122222222233666666666666663444466666666666666666666666121212121212121212121212121212121212121212121212121212121212121244444444444412121212121212121212121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1
χ91-1-1111-1-1-1111111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-11-11-1
χ101-1-1111-1-1-1111111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−i−i−iiii−i−iiii−i−iii−i−i−i−iii−i−iii-11-11-11
χ111-1-1111-1-1-1111111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iiiii−i−i−iii−i−i−iii−i−iiiii−i−iii−i−i-11-11-11
χ121-1-1111-1-1-1111111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-11-1
χ131-1-1111-1-1-1111111111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111ii−i−iii−i−i−ii−iiii−i−i−i−iiiii−i−i−i−iii1-11-1-11
χ141-1-1111-1-1-1111111111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111ii−i−i−i−iii−iii−iii−i−i−i−iii−i−iiiii−i−i-11-111-1
χ151-1-1111-1-1-1111111111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−iiiii−i−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-11-111-1
χ161-1-1111-1-1-1111111111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−iii−i−iiii−ii−i−i−iiiii−i−i−i−iiiii−i−i1-11-1-11
χ1722222222222-122-1-12-12222-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222002200000000-1-1-1-1-1-1-1-1000000
χ1822222222222-122-1-12-12222-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-20000000011111111000000
χ1922222222222-122-1-12-12222-1-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2111111111111111111110000222200-2-200000000-1-1-1-11111000000
χ2022222222222-122-1-12-12222-1-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2111111111111111111110000-2-2-2-20022000000001111-1-1-1-1000000
χ212222222222-12-1-122-12-1-1-1-12222-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200002200-1-1-1-1-1-1-1-100000000000000
χ222222222222-12-1-122-12-1-1-1-12222-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2001111111100000000000000
χ232222222222-12-1-122-12-1-1-1-12222-1-2-2-2-2-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111-2-2-2-2111111111111111122220000-2-200-1-1-1-1111100000000000000
χ242222222222-12-1-122-12-1-1-1-12222-1-2-2-2-2-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2000022001111-1-1-1-100000000000000
χ2522222-2-22-2-22222-2-222222222-2-220000-2-22-2-2-22-222-2-2-2-22222-2-2-2-22000000000000000000000000000000002-22-2000000002-22-2000000000000000000
χ2622222-2-22-2-22222-2-222222222-2-220000-2-22-2-2-22-222-2-2-2-22222-2-2-2-2200000000000000000000000000000000-22-2200000000-22-22000000000000000000
χ2722222-2-22-2-2-12-1-1-2-2-12-1-1-1-122-2-2-10000112-2112-2-1-11111-1-1-1-11111-1−i3−i3i3i30000−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i32-22-200000000-11-11−i3i3−i3i300000000000000
χ2822222-2-22-2-2-12-1-1-2-2-12-1-1-1-122-2-2-10000112-2112-2-1-11111-1-1-1-11111-1−i3−i3i3i30000−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-22-22000000001-11-1i3−i3i3−i300000000000000
χ2922222-2-22-2-2-12-1-1-2-2-12-1-1-1-122-2-2-10000112-2112-2-1-11111-1-1-1-11111-1i3i3−i3−i30000i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i32-22-200000000-11-11i3−i3i3−i300000000000000
χ3022222-2-22-2-2-12-1-1-2-2-12-1-1-1-122-2-2-10000112-2112-2-1-11111-1-1-1-11111-1i3i3−i3−i30000i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-22-22000000001-11-1−i3i3−i3i300000000000000
χ312222-22-2-22-222-2-2222222-2-22222200002-2-2-22-2-2-2-2-222-2-222-2-222-2-220000000000000000000000000000000000002-22-20000000000002-22-20000000000
χ322222-22-2-22-222-2-2222222-2-22222200002-2-2-22-2-2-2-2-222-2-222-2-222-2-22000000000000000000000000000000000000-22-22000000000000-22-220000000000
χ332222-22-2-22-22-1-2-2-1-12-122-2-2-1-1-1-1-100002-2112-21111-1-111-1-111-1-111-10000−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300002-22-2000000000000-11-11−i3i3−i3i3000000
χ342222-22-2-22-22-1-2-2-1-12-122-2-2-1-1-1-1-100002-2112-21111-1-111-1-111-1-111-10000−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000-22-220000000000001-11-1i3−i3i3−i3000000
χ352222-22-2-22-22-1-2-2-1-12-122-2-2-1-1-1-1-100002-2112-21111-1-111-1-111-1-111-10000i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300002-22-2000000000000-11-11i3−i3i3−i3000000
χ362222-22-2-22-22-1-2-2-1-12-122-2-2-1-1-1-1-100002-2112-21111-1-111-1-111-1-111-10000i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000-22-220000000000001-11-1−i3i3−i3i3000000
χ372222-2-22-2-2222-2-2-2-22222-2-222-2-220000-22-22-22-22-2-2-2-22222-2-2-2-222200000000000000000000000000000000000000000000000000000000000022-2-200
χ382222-2-22-2-2222-2-2-2-22222-2-222-2-220000-22-22-22-22-2-2-2-22222-2-2-2-2222000000000000000000000000000000000000000000000000000000000000-2-22200
χ392-2-2222-2-2-222-122-1-12-1-2-2-2-21111-122-2-222-1-1-2-211-1-1-1-1-1-111111111-12222-1-1-1-1-2-2-2-21111-1-1-1-1-1-1-1-11111111100002i2i−2i−2i002i−2i00000000−i−iii−i−iii000000
χ402-2-2222-2-2-222-122-1-12-1-2-2-2-21111-122-2-222-1-1-2-211-1-1-1-1-1-111111111-12222-1-1-1-1-2-2-2-21111-1-1-1-1-1-1-1-1111111110000−2i−2i2i2i00−2i2i00000000ii−i−iii−i−i000000
χ412-2-2222-2-2-222-122-1-12-1-2-2-2-21111-1-2-22222-1-1-2-211-1-1-1-1-1-111111111-1-2-2-2-211112222-1-1-1-111111111-1-1-1-1-1-1-1-100002i2i−2i−2i00−2i2i00000000−i−iiiii−i−i000000
χ422-2-2222-2-2-222-122-1-12-1-2-2-2-21111-1-2-22222-1-1-2-211-1-1-1-1-1-111111111-1-2-2-2-211112222-1-1-1-111111111-1-1-1-1-1-1-1-10000−2i−2i2i2i002i−2i00000000ii−i−i−i−iii000000
χ432-2-2222-2-2-22-12-1-122-121111-2-2-2-2-122-2-2-1-12211-2-2-1-1-1-1-1-111111111-1-1-1-1-122221111-2-2-2-2-1-1-1-1-1-1-1-1111111112i2i−2i−2i00002i−2i00−i−iii−i−iii00000000000000
χ442-2-2222-2-2-22-12-1-122-121111-2-2-2-2-122-2-2-1-12211-2-2-1-1-1-1-1-111111111-1-1-1-1-122221111-2-2-2-2-1-1-1-1-1-1-1-111111111−2i−2i2i2i0000−2i2i00ii−i−iii−i−i00000000000000
χ452-2-2222-2-2-22-12-1-122-121111-2-2-2-2-1-2-222-1-12211-2-2-1-1-1-1-1-111111111-11111-2-2-2-2-1-1-1-1222211111111-1-1-1-1-1-1-1-12i2i−2i−2i0000−2i2i00−i−iiiii−i−i00000000000000
χ462-2-2222-2-2-22-12-1-122-121111-2-2-2-2-1-2-222-1-12211-2-2-1-1-1-1-1-111111111-11111-2-2-2-2-1-1-1-1222211111111-1-1-1-1-1-1-1-1−2i−2i2i2i00002i−2i00ii−i−i−i−iii00000000000000
χ472-2-222-22-22-22222-2-222-2-2-2-2-2-22220000-2-22-222-2222-2-2-2-2-2-2-2-222222000000000000000000000000000000002i−2i−2i2i000000002i−2i−2i2i000000000000000000
χ482-2-222-22-22-22222-2-222-2-2-2-2-2-22220000-2-22-222-2222-2-2-2-2-2-2-2-22222200000000000000000000000000000000−2i2i2i−2i00000000−2i2i2i−2i000000000000000000
χ492-2-222-22-22-2-12-1-1-2-2-121111-2-222-10000112-2-1-1-22-1-111111111-1-1-1-1-1−i3−i3i3i30000i3i3−i3−i30000−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i32i−2i−2i2i00000000−iii−i3−3−3300000000000000
χ502-2-222-22-22-2-12-1-1-2-2-121111-2-222-10000112-2-1-1-22-1-111111111-1-1-1-1-1−i3−i3i3i30000i3i3−i3−i30000−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−2i2i2i−2i00000000i−i−ii−333−300000000000000
χ512-2-222-22-22-2-12-1-1-2-2-121111-2-222-10000112-2-1-1-22-1-111111111-1-1-1-1-1i3i3−i3−i30000−i3−i3i3i30000i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i32i−2i−2i2i00000000−iii−i−333−300000000000000
χ522-2-222-22-22-2-12-1-1-2-2-121111-2-222-10000112-2-1-1-22-1-111111111-1-1-1-1-1i3i3−i3−i30000−i3−i3i3i30000i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3−2i2i2i−2i00000000i−i−ii3−3−3300000000000000
χ532-2-22-2222-2-222-2-22222-2-222-2-2-2-2200002-2-2-2-2222-2-222-2-2-2-222-2-22220000000000000000000000000000000000002i−2i−2i2i0000000000002i−2i−2i2i0000000000
χ542-2-22-2222-2-222-2-22222-2-222-2-2-2-2200002-2-2-2-2222-2-222-2-2-2-222-2-2222000000000000000000000000000000000000−2i2i2i−2i000000000000−2i2i2i−2i0000000000
χ552-2-22-2222-2-22-1-2-2-1-12-1-2-2221111-100002-211-22-1-111-1-11111-1-111-1-1-10000−i3−i3i3i30000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300002i−2i−2i2i000000000000−iii−i3−3−33000000
χ562-2-22-2222-2-22-1-2-2-1-12-1-2-2221111-100002-211-22-1-111-1-11111-1-111-1-1-10000−i3−i3i3i30000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000−2i2i2i−2i000000000000i−i−ii−333−3000000
χ572-2-22-2222-2-22-1-2-2-1-12-1-2-2221111-100002-211-22-1-111-1-11111-1-111-1-1-10000i3i3−i3−i30000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300002i−2i−2i2i000000000000−iii−i−333−3000000
χ582-2-22-2222-2-22-1-2-2-1-12-1-2-2221111-100002-211-22-1-111-1-11111-1-111-1-1-10000i3i3−i3−i30000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000−2i2i2i−2i000000000000i−i−ii3−3−33000000
χ592-2-22-2-2-222222-2-2-2-222-2-222-2-22220000-22-222-22-2-2-2-2-222-2-22222-2-220000000000000000000000000000000000000000000000000000000000002-2-2200
χ602-2-22-2-2-222222-2-2-2-222-2-222-2-22220000-22-222-22-2-2-2-2-222-2-22222-2-22000000000000000000000000000000000000000000000000000000000000-222-200
χ614444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-214444-2-2-2-2-2-2-2-2111111111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111110000000000000000000000000000000000
χ624444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-2-2-2-2-2-2-21111111111111112222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ6344444-4-44-4-44-244224-24444-2-222-20000-4-4-22-4-4-22-2-22222-2-2-2-22222-2000000000000000000000000000000000000000000000000000000000000000000
χ6444444-4-44-4-4-2-2-2-222-2-2-2-2-2-2-2-2221000022-2222-2211-1-1-1-11111-1-1-1-11−2i3−2i32i32i30000−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ6544444-4-44-4-4-2-2-2-222-2-2-2-2-2-2-2-2221000022-2222-2211-1-1-1-11111-1-1-1-112i32i3−2i3−2i300002i32i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ664444-44-4-44-4-242244-24-2-2224444-20000-22-4-4-22-4-422-2-222-2-222-2-222-2000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.