Finite Group Databasebeta

← Group #11787694

Character table — Group #11787694

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
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1
χ91-1-111-1111-11-111-11-1-1-1-1-11-1-1111ii−i−i111-1-1-11-1-11-1iiii−i−i−i−i11-1-11111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−ii−ii−iii−i−i1-11-1ii−i−iii−i−i11-1-111-1-11-11-1i−i
χ101-1-111-1111-11-111-11-1-1-1-1-11-1-1111ii−i−i111-1-1-11-1-11-1iiii−i−i−i−i11-1-11111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−ii−ii−i−i−iii-111-1ii−i−i−i−iii-1-11111-1-1-11-11−ii
χ111-1-111-1111-11-111-11-1-1-1-1-11-1-1111ii−i−i111-1-1-11-1-11-1iiii−i−i−i−i11-1-11111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−ii−iiii−i−i1-1-11−i−iiiii−i−i11-1-1-1-111-11-11−ii
χ121-1-111-1111-11-111-11-1-1-1-1-11-1-1111ii−i−i111-1-1-11-1-11-1iiii−i−i−i−i11-1-11111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−ii−ii−i−iii-11-11−i−iii−i−iii-1-111-1-1111-11-1i−i
χ131-1-111-1111-11-111-11-1-1-1-1-11-1-1111−i−iii111-1-1-11-1-11-1−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiii−ii−iii−i−i-11-11ii−i−iii−i−i-1-111-1-1111-11-1−ii
χ141-1-111-1111-11-111-11-1-1-1-1-11-1-1111−i−iii111-1-1-11-1-11-1−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiii−ii−i−i−iii1-1-11ii−i−i−i−iii11-1-1-1-111-11-11i−i
χ151-1-111-1111-11-111-11-1-1-1-1-11-1-1111−i−iii111-1-1-11-1-11-1−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−ii−iiii−i−i-111-1−i−iiiii−i−i-1-11111-1-1-11-11i−i
χ161-1-111-1111-11-111-11-1-1-1-1-11-1-1111−i−iii111-1-1-11-1-11-1−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−ii−ii−i−iii1-11-1−i−iii−i−iii11-1-111-1-11-11-1−ii
χ1722222222-2-2-2-22222222222-2-2-2-220000222222222-2-200000000-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000002-22-2000000002-22-200000000000000
χ1822222222-2-2-2-22222222222-2-2-2-220000222222222-2-200000000-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000-22-2200000000-22-2200000000000000
χ192222222-12222222-122-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000022-1-1-1-100000000-1-1-1-1000000
χ202222222-12222222-122-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000-2-21111000000001111000000
χ212222222-12222222-122-1-122-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-11111111111111111111111112222000000-2-2-1-1-1-1000000001111000000
χ222222222-12222222-122-1-122-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1111111111111111111111111-2-2-2-200000022111100000000-1-1-1-1000000
χ23222222-122222-1-1-12-1-122-1-12222-122222-1-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222222000000-1-1-1-1-1-1-1-10000000000
χ24222222-122222-1-1-12-1-122-1-12222-122222-1-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2-2-2000000111111110000000000
χ25222222-122222-1-1-12-1-122-1-12222-1-2-2-2-22-1-1-1-12-1-1-12211111111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-21111111100002222-2-2000000-1-1-1-111110000000000
χ26222222-122222-1-1-12-1-122-1-12222-1-2-2-2-22-1-1-1-12-1-1-12211111111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2111111110000-2-2-2-2220000001111-1-1-1-10000000000
χ27222222-12-2-2-2-2-1-1-12-1-122-1-1-2-2-2-2-100002-1-1-1-12-1-1-1-2-2−i3−i3i3i3−i3−i3i3i31111111111110000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i300002-22-200000000-11-11−i3i3−i3i30000000000
χ28222222-12-2-2-2-2-1-1-12-1-122-1-1-2-2-2-2-100002-1-1-1-12-1-1-1-2-2−i3−i3i3i3−i3−i3i3i31111111111110000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i30000-22-22000000001-11-1i3−i3i3−i30000000000
χ29222222-12-2-2-2-2-1-1-12-1-122-1-1-2-2-2-2-100002-1-1-1-12-1-1-1-2-2i3i3−i3−i3i3i3−i3−i31111111111110000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i300002-22-200000000-11-11i3−i3i3−i30000000000
χ30222222-12-2-2-2-2-1-1-12-1-122-1-1-2-2-2-2-100002-1-1-1-12-1-1-1-2-2i3i3−i3−i3i3i3−i3−i31111111111110000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000-22-22000000001-11-1−i3i3−i3i30000000000
χ312222-2-2222-2-22-2-222-2-22222-2-2-2-220000-2-2-222-22-2-222000000002-22-222-2-222-2-200000000000000000000000022-2-2000000002-22-2000000000000000000
χ322222-2-2222-2-22-2-222-2-22222-2-2-2-220000-2-2-222-22-2-222000000002-22-222-2-222-2-2000000000000000000000000-2-22200000000-22-22000000000000000000
χ332222-2-222-222-2-2-222-2-22222222220000-2-2-222-22-2-2-2-200000000-22-22-2-222-2-222000000000000000000000000000000000000000000000000000022-2-200
χ342222-2-222-222-2-2-222-2-22222222220000-2-2-222-22-2-2-2-200000000-22-22-2-222-2-2220000000000000000000000000000000000000000000000000000-2-22200
χ352222-2-22-12-2-22-2-22-1-2-2-1-1221111-10000111-1-11-111-1-1000000002-22-2-1-111-1-11133−3−333−3−333−3−333−3−333−3−333−3−322-2-200000000-11-11000000003−33−3000000
χ362222-2-22-12-2-22-2-22-1-2-2-1-1221111-10000111-1-11-111-1-1000000002-22-2-1-111-1-11133−3−333−3−333−3−333−3−333−3−333−3−3-2-222000000001-11-100000000−33−33000000
χ372222-2-22-12-2-22-2-22-1-2-2-1-1221111-10000111-1-11-111-1-1000000002-22-2-1-111-1-111−3−333−3−333−3−333−3−333−3−333−3−33322-2-200000000-11-1100000000−33−33000000
χ382222-2-22-12-2-22-2-22-1-2-2-1-1221111-10000111-1-11-111-1-1000000002-22-2-1-111-1-111−3−333−3−333−3−333−3−333−3−333−3−333-2-222000000001-11-1000000003−33−3000000
χ392-2-222-222-22-2222-22-2-2-2-2-2222-2-220000222-2-2-22-2-2-2200000000-2-222-2-2-2-2222200000000000000000000000000002i−2i−2i2i000000002i−2i−2i2i00000000000000
χ402-2-222-222-22-2222-22-2-2-2-2-2222-2-220000222-2-2-22-2-2-2200000000-2-222-2-2-2-222220000000000000000000000000000−2i2i2i−2i00000000−2i2i2i−2i00000000000000
χ412-2-222-22-12-22-222-2-1-2-211-2211-1-1-12i2i−2i−2i-1-1-1111-111-112i2i2i2i−2i−2i−2i−2i22-2-2-1-1-1-11111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii2i−2i2i−2i0000002-2−i−iii00000000-1-111000000
χ422-2-222-22-12-22-222-2-1-2-211-2211-1-1-12i2i−2i−2i-1-1-1111-111-112i2i2i2i−2i−2i−2i−2i22-2-2-1-1-1-11111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−2i2i−2i2i000000-22ii−i−i0000000011-1-1000000
χ432-2-222-22-12-22-222-2-1-2-211-2211-1-1-1−2i−2i2i2i-1-1-1111-111-11−2i−2i−2i−2i2i2i2i2i22-2-2-1-1-1-11111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i2i−2i2i−2i000000-22−i−iii0000000011-1-1000000
χ442-2-222-22-12-22-222-2-1-2-211-2211-1-1-1−2i−2i2i2i-1-1-1111-111-11−2i−2i−2i−2i2i2i2i2i22-2-2-1-1-1-11111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−2i2i−2i2i0000002-2ii−i−i00000000-1-111000000
χ452-2-222-2-122-22-2-1-11211-2-21-1-2-222-12i2i−2i−2i2-1-111-2-1112-2−i−i−i−iiiii-1-111-1-1-1-111112i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiii00002i2i−2i−2i2-2000000−i−iii-1-1110000000000
χ462-2-222-2-122-22-2-1-11211-2-21-1-2-222-12i2i−2i−2i2-1-111-2-1112-2−i−i−i−iiiii-1-111-1-1-1-111112i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiii0000−2i−2i2i2i-22000000ii−i−i11-1-10000000000
χ472-2-222-2-122-22-2-1-11211-2-21-1-2-222-1−2i−2i2i2i2-1-111-2-1112-2iiii−i−i−i−i-1-111-1-1-1-11111−2i−2i−2i−2iiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i00002i2i−2i−2i-22000000−i−iii11-1-10000000000
χ482-2-222-2-122-22-2-1-11211-2-21-1-2-222-1−2i−2i2i2i2-1-111-2-1112-2iiii−i−i−i−i-1-111-1-1-1-11111−2i−2i−2i−2iiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i0000−2i−2i2i2i2-2000000ii−i−i-1-1110000000000
χ492-2-222-2-12-22-22-1-11211-2-21-122-2-2-100002-1-111-2-111-2233−3−3−3−33311-1-11111-1-1-1-100003333−3−3−3−30000−3−3−3−3333300002i−2i−2i2i00000000−iii−i−i3i3i3−i30000000000
χ502-2-222-2-12-22-22-1-11211-2-21-122-2-2-100002-1-111-2-111-2233−3−3−3−33311-1-11111-1-1-1-100003333−3−3−3−30000−3−3−3−333330000−2i2i2i−2i00000000i−i−iii3−i3−i3i30000000000
χ512-2-222-2-12-22-22-1-11211-2-21-122-2-2-100002-1-111-2-111-22−3−33333−3−311-1-11111-1-1-1-10000−3−3−3−3333300003333−3−3−3−300002i−2i−2i2i00000000−iii−ii3−i3−i3i30000000000
χ522-2-222-2-12-22-22-1-11211-2-21-122-2-2-100002-1-111-2-111-22−3−33333−3−311-1-11111-1-1-1-10000−3−3−3−3333300003333−3−3−3−30000−2i2i2i−2i00000000i−i−ii−i3i3i3−i30000000000
χ532-2-22-222222-2-2-2-2-2222-2-2-2222-2-220000-2-2-2-2-222222-2000000002-2-2222-2-2-2-2220000000000000000000000002i−2i−2i2i000000002i−2i−2i2i000000000000000000
χ542-2-22-222222-2-2-2-2-2222-2-2-2222-2-220000-2-2-2-2-222222-2000000002-2-2222-2-2-2-222000000000000000000000000−2i2i2i−2i00000000−2i2i2i−2i000000000000000000
χ552-2-22-2222-2-222-2-2-2222-2-2-22-2-22220000-2-2-2-2-22222-2200000000-222-2-2-22222-2-200000000000000000000000000000000000000000000000000002-2-2200
χ562-2-22-2222-2-222-2-2-2222-2-2-22-2-22220000-2-2-2-2-22222-2200000000-222-2-2-22222-2-20000000000000000000000000000000000000000000000000000-222-200
χ572-2-22-222-122-2-2-2-2-2-12211-22-1-111-1000011111-1-1-1-1-11000000002-2-22-1-11111-1-1−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32i−2i−2i2i00000000−iii−i00000000−333−3000000
χ582-2-22-222-122-2-2-2-2-2-12211-22-1-111-1000011111-1-1-1-1-11000000002-2-22-1-11111-1-1−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−2i2i2i−2i00000000i−i−ii000000003−3−33000000
χ592-2-22-222-122-2-2-2-2-2-12211-22-1-111-1000011111-1-1-1-1-11000000002-2-22-1-11111-1-1i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32i−2i−2i2i00000000−iii−i000000003−3−33000000
χ602-2-22-222-122-2-2-2-2-2-12211-22-1-111-1000011111-1-1-1-1-11000000002-2-22-1-11111-1-1i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−2i2i2i−2i00000000i−i−ii00000000−333−3000000
χ614444444-2-4-4-4-4444-244-2-2442222-20000-2-2-2-2-2-2-2-2-22200000000-4-4-4-4222222220000000000000000000000000000000000000000000000000000000000
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
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-21111-2111-2-222222222-2-2-2-2111111112222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2222210000-21111-211122−2i3−2i32i32i3−2i3−2i32i32i32222-1-1-1-1-1-1-1-10000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2222210000-21111-2111222i32i3−2i3−2i32i32i3−2i3−2i32222-1-1-1-1-1-1-1-10000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ664444-4-44-2-444-4-4-44-2-4-4-2-244-2-2-2-2-20000222-2-22-2222200000000-44-4422-2-222-2-20000000000000000000000000000000000000000000000000000000000
χ674444-4-4-244-4-4422-242244-2-2-4-4-4-4-20000-422-2-2-4-2224400000000-22-22-2-222-2-2220000000000000000000000000000000000000000000000000000000000
χ684444-4-4-24-444-422-242244-2-24444-20000-422-2-2-4-222-4-4000000002-22-222-2-222-2-20000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.