Finite Group Databasebeta

← Group #11786705

Character table — Group #11786705

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444412121212121212122424242424242424242424242424242424242424363636367272
order122222334444666666666612121212344446666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244444444448812121212121212121212121224242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1
χ91-11-1-11111-1-11-1-1-11111-1-1-111-1-1111-1-1-1-1-1-1-11111111-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1i−ii−iii−i−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-11-11-1
χ101-11-1-11111-1-11-1-1-11111-1-1-111-1-1111-1-1-1-1-1-1-11111111-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i−i−iii−iii−iii−i−i−i−iii−i−iiiii−i−i-11-11-11
χ111-11-1-11111-1-11-1-1-11111-1-1-111-1-1111-1-1-1-1-1-1-11111111-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−ii−iiii−i−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-11-11-11
χ121-11-1-11111-1-11-1-1-11111-1-1-111-1-1111-1-1-1-1-1-1-11111111-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−i−iii−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-11-1
χ131-11-1-11111-1-11-1-1-11111-1-1-111-1-11-1-111-1-1-1-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111i−ii−iii−i−i−ii−iiii−i−iii−i−i−i−iii−i−iii1-11-1-11
χ141-11-1-11111-1-11-1-1-11111-1-1-111-1-11-1-111-1-1-1-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111i−ii−i−i−iiii−i−iiii−i−i−i−iiiii−i−i−i−iii-11-111-1
χ151-11-1-11111-1-11-1-1-11111-1-1-111-1-11-1-111-1-1-1-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111−ii−iiii−i−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-11-111-1
χ161-11-1-11111-1-11-1-1-11111-1-1-111-1-11-1-111-1-1-1-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111−ii−ii−i−iiii−ii−i−i−iii−i−iiiii−i−iii−i−i1-11-1-11
χ1722222222-2-2-2-22222222222-2-2-2-220000222222222-2-2-2-2-2-200000000-2-2-2-2-2-2-2-200000000000000000000000000002-22-2000000002-22-200000000000000
χ1822222222-2-2-2-22222222222-2-2-2-220000222222222-2-2-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000-22-2200000000-22-2200000000000000
χ192222222-12222222222-1-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-122-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000022-1-1-1-100000000-1-1-1-1000000
χ202222222-12222222222-1-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-122-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000-2-21111000000001111000000
χ212222222-12222222222-1-1-12-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-122-122-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111111111112222000000-2-2-1-1-1-1000000001111000000
χ222222222-12222222222-1-1-12-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-122-122-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111111111111-2-2-2-200000022111100000000-1-1-1-1000000
χ23222222-122222-1-1-1-1-1-1222-12222-122222-1-1-1-12-1-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222222000000-1-1-1-1-1-1-1-10000000000
χ24222222-122222-1-1-1-1-1-1222-12222-122222-1-1-1-12-1-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2-2-2000000111111110000000000
χ25222222-122222-1-1-1-1-1-1222-12222-1-2-2-2-22-1-1-1-12-1-1-1-1-12-1-1211111111-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-21111111100002222-2-2000000-1-1-1-111110000000000
χ26222222-122222-1-1-1-1-1-1222-12222-1-2-2-2-22-1-1-1-12-1-1-1-1-12-1-1211111111-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2111111110000-2-2-2-2220000001111-1-1-1-10000000000
χ27222222-12-2-2-2-2-1-1-1-1-1-1222-1-2-2-2-2-100002-1-1-1-12-1-1-111-211-2−i3−i3i3i3−i3−i3i3i3111111110000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i300002-22-200000000-11-11−i3i3−i3i30000000000
χ28222222-12-2-2-2-2-1-1-1-1-1-1222-1-2-2-2-2-100002-1-1-1-12-1-1-111-211-2−i3−i3i3i3−i3−i3i3i3111111110000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i30000-22-22000000001-11-1i3−i3i3−i30000000000
χ29222222-12-2-2-2-2-1-1-1-1-1-1222-1-2-2-2-2-100002-1-1-1-12-1-1-111-211-2i3i3−i3−i3i3i3−i3−i3111111110000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i300002-22-200000000-11-11i3−i3i3−i30000000000
χ30222222-12-2-2-2-2-1-1-1-1-1-1222-1-2-2-2-2-100002-1-1-1-12-1-1-111-211-2i3i3−i3−i3i3i3−i3−i3111111110000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000-22-22000000001-11-1−i3i3−i3i30000000000
χ312222-2-2222-22-22-2-22-2-22222222220000-222-2-2-22-2-22-2-22-2-20000000022-2-222-2-2000000000000000000000000000000000000000000000000000022-2-200
χ322222-2-2222-22-22-2-22-2-22222222220000-222-2-2-22-2-22-2-22-2-20000000022-2-222-2-20000000000000000000000000000000000000000000000000000-2-22200
χ332222-2-222-22-222-2-22-2-22222-2-2-2-220000-222-2-2-22-2-2-222-22200000000-2-222-2-22200000000000000000000000022-2-2000000002-22-2000000000000000000
χ342222-2-222-22-222-2-22-2-22222-2-2-2-220000-222-2-2-22-2-2-222-22200000000-2-222-2-222000000000000000000000000-2-22200000000-22-22000000000000000000
χ352222-2-22-1-22-222-2-22-2-2-1-1-121111-100001-1-1111-111-22-1-22-10000000011-1-111-1-133−3−333−3−333−3−333−3−333−3−333−3−322-2-200000000-11-11000000003−33−3000000
χ362222-2-22-1-22-222-2-22-2-2-1-1-121111-100001-1-1111-111-22-1-22-10000000011-1-111-1-133−3−333−3−333−3−333−3−333−3−333−3−3-2-222000000001-11-100000000−33−33000000
χ372222-2-22-1-22-222-2-22-2-2-1-1-121111-100001-1-1111-111-22-1-22-10000000011-1-111-1-1−3−333−3−333−3−333−3−333−3−333−3−33322-2-200000000-11-1100000000−33−33000000
χ382222-2-22-1-22-222-2-22-2-2-1-1-121111-100001-1-1111-111-22-1-22-10000000011-1-111-1-1−3−333−3−333−3−333−3−333−3−333−3−333-2-222000000001-11-1000000003−33−3000000
χ392-22-22-22222-2-2-2222-2-22-2-2-222-2-2200002-2-222-22-2-22-2-2-2220000000022-2-2-2-22200000000000000000000000000000000000000000000000000002-2-2200
χ402-22-22-22222-2-2-2222-2-22-2-2-222-2-2200002-2-222-22-2-22-2-2-2220000000022-2-2-2-2220000000000000000000000000000000000000000000000000000-222-200
χ412-22-22-222-2-222-2222-2-22-2-2-2-2-222200002-2-222-22-2-2-2222-2-200000000-2-22222-2-20000000000000000000000002i−2i−2i2i000000002i−2i−2i2i000000000000000000
χ422-22-22-222-2-222-2222-2-22-2-2-2-2-222200002-2-222-22-2-2-2222-2-200000000-2-22222-2-2000000000000000000000000−2i2i2i−2i00000000−2i2i2i−2i000000000000000000
χ432-22-22-22-1-2-222-2222-2-2-111-211-1-1-10000-111-1-11-111-22-12-210000000011-1-1-1-11133−3−333−3−333−3−3−3−333−3−333−3−3332i−2i−2i2i00000000−iii−i00000000i3−i3−i3i3000000
χ442-22-22-22-1-2-222-2222-2-2-111-211-1-1-10000-111-1-11-111-22-12-210000000011-1-1-1-11133−3−333−3−333−3−3−3−333−3−333−3−333−2i2i2i−2i00000000i−i−ii00000000−i3i3i3−i3000000
χ452-22-22-22-1-2-222-2222-2-2-111-211-1-1-10000-111-1-11-111-22-12-210000000011-1-1-1-111−3−333−3−333−3−33333−3−333−3−333−3−32i−2i−2i2i00000000−iii−i00000000−i3i3i3−i3000000
χ462-22-22-22-1-2-222-2222-2-2-111-211-1-1-10000-111-1-11-111-22-12-210000000011-1-1-1-111−3−333−3−333−3−33333−3−333−3−333−3−3−2i2i2i−2i00000000i−i−ii00000000i3−i3−i3i3000000
χ472-22-2-2222-222-2-2-2-22222-2-2-2-2-22220000-2-2-2-2-22222-2-2-222200000000-2-2-2-2222200000000000000000000000000002i−2i−2i2i000000002i−2i−2i2i00000000000000
χ482-22-2-2222-222-2-2-2-22222-2-2-2-2-22220000-2-2-2-2-22222-2-2-222200000000-2-2-2-222220000000000000000000000000000−2i2i2i−2i00000000−2i2i2i−2i00000000000000
χ492-22-2-222-12-2-22-2-2-2222-111-2-1-111-122-2-211111-1-1-1-122-1-2-212222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111112i−2i2i−2i0000002i−2i−i−iii00000000−i−iii000000
χ502-22-2-222-12-2-22-2-2-2222-111-2-1-111-122-2-211111-1-1-1-122-1-2-212222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−2i2i−2i2i000000−2i2iii−i−i00000000ii−i−i000000
χ512-22-2-222-12-2-22-2-2-2222-111-2-1-111-1-2-22211111-1-1-1-122-1-2-21-2-2-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-12i−2i2i−2i000000−2i2i−i−iii00000000ii−i−i000000
χ522-22-2-222-12-2-22-2-2-2222-111-2-1-111-1-2-22211111-1-1-1-122-1-2-21-2-2-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−2i2i−2i2i0000002i−2iii−i−i00000000−i−iii000000
χ532-22-2-22-122-2-22111-1-1-12-2-2122-2-2-122-2-2-211112-1-1-1-1-1211-2-1-1-1-11111-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-21111111100002i2i−2i−2i2i−2i000000−i−iii−i−iii0000000000
χ542-22-2-22-122-2-22111-1-1-12-2-2122-2-2-122-2-2-211112-1-1-1-1-1211-2-1-1-1-11111-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-2111111110000−2i−2i2i2i−2i2i000000ii−i−iii−i−i0000000000
χ552-22-2-22-122-2-22111-1-1-12-2-2122-2-2-1-2-222-211112-1-1-1-1-1211-21111-1-1-1-1-1-1-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-100002i2i−2i−2i−2i2i000000−i−iiiii−i−i0000000000
χ562-22-2-22-122-2-22111-1-1-12-2-2122-2-2-1-2-222-211112-1-1-1-1-1211-21111-1-1-1-1-1-1-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-10000−2i−2i2i2i2i−2i000000ii−i−i−i−iii0000000000
χ572-22-2-22-12-222-2111-1-1-12-2-21-2-222-10000-211112-1-1-111-2-1-12−i3−i3i3i3i3i3−i3−i31111-1-1-1-10000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i300002i−2i−2i2i00000000−iii−i3−3−330000000000
χ582-22-2-22-12-222-2111-1-1-12-2-21-2-222-10000-211112-1-1-111-2-1-12−i3−i3i3i3i3i3−i3−i31111-1-1-1-10000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i30000−2i2i2i−2i00000000i−i−ii−333−30000000000
χ592-22-2-22-12-222-2111-1-1-12-2-21-2-222-10000-211112-1-1-111-2-1-12i3i3−i3−i3−i3−i3i3i31111-1-1-1-10000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i300002i−2i−2i2i00000000−iii−i−333−30000000000
χ602-22-2-22-12-222-2111-1-1-12-2-21-2-222-10000-211112-1-1-111-2-1-12i3i3−i3−i3−i3−i3i3i31111-1-1-1-10000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i30000−2i2i2i−2i00000000i−i−ii3−3−330000000000
χ614444444-2-4-4-4-4444444-2-2-242222-20000-2-2-2-2-2-2-2-2-2-4-42-4-4200000000222222220000000000000000000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-214444-21111-2111-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-211111111-2-2-2-2111111110000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-21111-2111-2-2-2-2-2-222222222111111112222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2222210000-21111-2111222222−2i3−2i32i32i3−2i3−2i32i32i3-1-1-1-1-1-1-1-10000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2222210000-21111-21112222222i32i3−2i3−2i32i32i3−2i3−2i3-1-1-1-1-1-1-1-10000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ664444-4-44-24-44-44-4-44-4-4-2-2-24-2-2-2-2-200002-2-2222-2224-424-4200000000-2-222-2-2220000000000000000000000000000000000000000000000000000000000
χ674444-4-4-244-44-4-222-222444-24444-20000-4-2-222-4-222-22-4-22-400000000-2-222-2-2220000000000000000000000000000000000000000000000000000000000
χ684444-4-4-24-44-44-222-222444-2-4-4-4-4-20000-4-2-222-4-2222-242-240000000022-2-222-2-20000000000000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-44-4-222-222-2-2-2-2-2-2-2-210000211-1-121-1-1-222-2220000000011-1-111-1-100003i3i−3i−3i−3i−3i3i3i00003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000000000
χ704444-4-4-2-24-44-4-222-222-2-2-2-2-2-2-2-210000211-1-121-1-1-222-2220000000011-1-111-1-10000−3i−3i3i3i3i3i−3i−3i0000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000000000
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χ1204-4-4400-2-2000022i3−2i32−2i32i322-2-2−232323−231-222-20-11−i3i30-1i3−i30000001+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i33−3−3i3i−333i−3i1+3−1−31−3−1+3−ζ2−ζ7−2ζ11ζ2+ζ7+2ζ11−ζ2+ζ7+2ζ11ζ2−ζ7−2ζ112ζ7−ζ10+ζ11−2ζ7+ζ10−ζ11−2ζ7−ζ10−ζ112ζ7+ζ10+ζ11−1−31+3−1+31−3ζ2+ζ7+2ζ11−ζ2−ζ7−2ζ11ζ2−ζ7−2ζ11−ζ2+ζ7+2ζ11−2ζ7+ζ10−ζ112ζ7−ζ10+ζ112ζ7+ζ10+ζ11−2ζ7−ζ10−ζ110000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.