Finite Group Databasebeta

← Group #11784867

Character table — Group #11784867

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444888888888888888812121212121212121212121212121212121212121212121212121212121212121212121224242424242472727272
order122222334444666666121212122234466666666666121212121212121212121212121266666666121212121212121222222244444466666666666612121212121212121212121288242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-11-1-1111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-11-1-1111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ71111111111111111111111-1-11-1-1111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-11-1-1111-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ91-11-11-11111-1-1-1-1-1-11111-1-11-111-111-111-1-1-1-11-11-111-1-111-1-111-1-11-11-111-1-11-11-111-1-111-1-11-11-1ii−i−i1111-1-1-1-111-1-111-1-1iiii−i−i−i−ii−iii−i−ii−ii−i
χ101-11-11-11111-1-1-1-1-1-11111-1-11-111-111-111-1-1-1-11-11-111-1-111-1-111-1-11-11-111-1-11-11-111-1-111-1-11-11-1−i−iii1111-1-1-1-111-1-111-1-1−i−i−i−iiiii−ii−i−iii−ii−ii
χ111-11-11-11111-1-1-1-1-1-11111-1-11-111-111-111-1-1-1-11-11-111-1-111-1-111-1-11-11-111-1-11-11-111-1-1-1-111-11-11ii−i−i-1-1-1-11111-1-111-1-111iiii−i−i−i−ii−iii−i−i−ii−ii
χ121-11-11-11111-1-1-1-1-1-11111-1-11-111-111-111-1-1-1-11-11-111-1-111-1-111-1-11-11-111-1-11-11-111-1-1-1-111-11-11−i−iii-1-1-1-11111-1-111-1-111−i−i−i−iiiii−ii−i−iiii−ii−i
χ131-11-11-11111-1-1-1-1-1-11111-1-1-111-1111-1-1-111-1-11-11-111-1-1-1-11111-1-1-111-1-1-111-111-1-1-11111-1-1-11-11ii−i−i1111-1-1-1-1-1-111-1-111iiii−i−i−i−i−ii−i−iiii−i−ii
χ141-11-11-11111-1-1-1-1-1-11111-1-1-111-1111-1-1-111-1-11-11-111-1-1-1-11111-1-1-111-1-1-111-111-1-1-11111-1-1-11-11−i−iii1111-1-1-1-1-1-111-1-111−i−i−i−iiiiii−iii−i−i−iii−i
χ151-11-11-11111-1-1-1-1-1-11111-1-1-111-1111-1-1-111-1-11-11-111-1-1-1-11111-1-1-111-1-1-111-111-1-1-111-1-1111-11-1ii−i−i-1-1-1-1111111-1-111-1-1iiii−i−i−i−i−ii−i−iii−iii−i
χ161-11-11-11111-1-1-1-1-1-11111-1-1-111-1111-1-1-111-1-11-11-111-1-1-1-11111-1-1-111-1-1-111-111-1-1-111-1-1111-11-1−i−iii-1-1-1-1111111-1-111-1-1−i−i−i−iiiiii−iii−i−ii−i−ii
χ1722222222-2-2-2-2222222-2-2-2-20020022200002222-2-2-2-2-2-20000-2-2-2-20022000000-2-200002-22-20000000022-2-222-2-200000000000000000000000000
χ1822222222-2-2-2-2222222-2-2-2-20020022200002222-2-2-2-2-2-20000-2-2-2-20022000000-2-20000-22-2200000000-2-222-2-22200000000000000000000000000
χ192222222-1222222-1-12-1222222-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ202222222-1222222-1-12-1222222-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-200001111111111111111000000000000000000
χ212222222-1222222-1-12-12222-2-2-1-2-22-1-11111-1-1-1222-1-1-1-11111-1-1-1-1-2-2-1-11111-2-2-1-111112222-2-2-2-20000-1-1-1-1-1-1-1-111111111000000000000000000
χ222222222-1222222-1-12-12222-2-2-1-2-22-1-11111-1-1-1222-1-1-1-11111-1-1-1-1-2-2-1-11111-2-2-1-11111-2-2-2-22222000011111111-1-1-1-1-1-1-1-1000000000000000000
χ232222222-1-2-2-2-222-1-12-1-2-2-2-200-1002-1-1−i3i3−i3i3-1-1-12-2-21111−i3i3−i3i3111100-1-1−i3i3−i3i30011−i3i3−i3i32-22-200000000-1-111-1-111−i3i3−i3i3−i3i3−i3i3000000000000000000
χ242222222-1-2-2-2-222-1-12-1-2-2-2-200-1002-1-1−i3i3−i3i3-1-1-12-2-21111−i3i3−i3i3111100-1-1−i3i3−i3i30011−i3i3−i3i3-22-220000000011-1-111-1-1i3−i3i3−i3i3−i3i3−i3000000000000000000
χ252222222-1-2-2-2-222-1-12-1-2-2-2-200-1002-1-1i3−i3i3−i3-1-1-12-2-21111i3−i3i3−i3111100-1-1i3−i3i3−i30011i3−i3i3−i32-22-200000000-1-111-1-111i3−i3i3−i3i3−i3i3−i3000000000000000000
χ262222222-1-2-2-2-222-1-12-1-2-2-2-200-1002-1-1i3−i3i3−i3-1-1-12-2-21111i3−i3i3−i3111100-1-1i3−i3i3−i30011i3−i3i3−i3-22-220000000011-1-111-1-1−i3i3−i3i3−i3i3−i3i3000000000000000000
χ27222222-122222-1-122-12-1-1-1-122-122-1222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022220000000000000000-1-1-1-1-1-1-1-122-1-1-1-10000
χ28222222-122222-1-122-12-1-1-1-122-122-1222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000000000000011111111-2-211110000
χ29222222-122222-1-122-12-1-1-1-1-2-2-1-2-2-122-2-2-2-2-1-1-1-1-1-12222-2-2-2-2-1-1-1-111-1-1111111-1-111110000000022220000000000000000-1-1-1-1-1-1-1-1-2-211110000
χ30222222-122222-1-122-12-1-1-1-1-2-2-1-2-2-122-2-2-2-2-1-1-1-1-1-12222-2-2-2-2-1-1-1-111-1-1111111-1-1111100000000-2-2-2-200000000000000001111111122-1-1-1-10000
χ312222-2-2222-22-2222222222200200-2-2-20000222-2-2-22-22-20000222200-2-2000000-2-20000000022-2-20000000000002222-2-2-2-2000000000000000000
χ322222-2-2222-22-2222222222200200-2-2-20000222-2-2-22-22-20000222200-2-2000000-2-200000000-2-222000000000000-2-2-2-22222000000000000000000
χ332222-2-222-22-22222222-2-2-2-2222-2-2-2-2-22222222-222-22-22-2-2-2-2-2-2-2-222-2-22222-2-222-2-2-2-20000000000000000000000000000000000000000000000
χ342222-2-222-22-22222222-2-2-2-2-2-2222-2-2-2-2-2-2-2222-222-22-222222-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000
χ352222-2-22-12-22-222-1-12-1222200-100-211−i3i3−i3i3-1-1-1-2-2-2-11-11i3−i3i3−i3-1-1-1-10011−i3i3−i3i30011i3−i3i3−i3000022-2-20000−i3i3−i3i3−i3i3−i3i3-1-1-1-11111000000000000000000
χ362222-2-22-12-22-222-1-12-1222200-100-211−i3i3−i3i3-1-1-1-2-2-2-11-11i3−i3i3−i3-1-1-1-10011−i3i3−i3i30011i3−i3i3−i30000-2-2220000i3−i3i3−i3i3−i3i3−i31111-1-1-1-1000000000000000000
χ372222-2-22-12-22-222-1-12-1222200-100-211i3−i3i3−i3-1-1-1-2-2-2-11-11−i3i3−i3i3-1-1-1-10011i3−i3i3−i30011−i3i3−i3i3000022-2-20000i3−i3i3−i3i3−i3i3−i3-1-1-1-11111000000000000000000
χ382222-2-22-12-22-222-1-12-1222200-100-211i3−i3i3−i3-1-1-1-2-2-2-11-11−i3i3−i3i3-1-1-1-10011i3−i3i3−i30011−i3i3−i3i30000-2-2220000−i3i3−i3i3−i3i3−i3i31111-1-1-1-1000000000000000000
χ392222-2-22-1-22-2222-1-12-1-2-2-2-222-1-2-2-211-1-1-1-1-1-1-1-2221-11-1111111112211-1-1-1-1-2-2-1-11111000000000000−i3i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3i3−i3000000000000000000
χ402222-2-22-1-22-2222-1-12-1-2-2-2-222-1-2-2-211-1-1-1-1-1-1-1-2221-11-1111111112211-1-1-1-1-2-2-1-11111000000000000i3−i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3−i3i3000000000000000000
χ412222-2-22-1-22-2222-1-12-1-2-2-2-2-2-2-122-2111111-1-1-1-2221-11-1-1-1-1-11111-2-211111122-1-1-1-1-1-1000000000000−i3i3i3−i3−i3i3i3−i3i3−i3i3−i3−i3i3−i3i3000000000000000000
χ422222-2-22-1-22-2222-1-12-1-2-2-2-2-2-2-122-2111111-1-1-1-2221-11-1-1-1-1-11111-2-211111122-1-1-1-1-1-1000000000000i3−i3−i3i3i3−i3−i3i3−i3i3−i3i3i3−i3i3−i3000000000000000000
χ432222-2-2-12-22-22-1-122-12111122-1-2-21-2-22222-1-1-11-1-1-22-22-2-2-2-21111-1-111-1-1-1-111-1-11111000000000000000000000000000033−3−333−3−3003−33−30000
χ442222-2-2-12-22-22-1-122-12111122-1-2-21-2-22222-1-1-11-1-1-22-22-2-2-2-21111-1-111-1-1-1-111-1-111110000000000000000000000000000−3−333−3−33300−33−330000
χ452222-2-2-12-22-22-1-122-121111-2-2-1221-2-2-2-2-2-2-1-1-11-1-1-22-222222111111111111-1-1-1-1-1-1-1-1000000000000000000000000000033−3−333−3−300−33−330000
χ462222-2-2-12-22-22-1-122-121111-2-2-1221-2-2-2-2-2-2-1-1-11-1-1-22-222222111111111111-1-1-1-1-1-1-1-10000000000000000000000000000−3−333−3−333003−33−30000
χ472-22-22-222-2-222-2-2-2-222-2-2220020022-20000-2-22-2-22-2-2220000-2-222002-2000000-2200002-2-220000000022-2-2-2-22200000000000000000000000000
χ482-22-22-222-2-222-2-2-2-222-2-2220020022-20000-2-22-2-22-2-2220000-2-222002-2000000-220000-222-200000000-2-22222-2-200000000000000000000000000
χ492-22-22-22-122-2-2-2-2112-122-2-22-2-12-22-11-1-11111-1-22-2-1-111-1-111-1-1112-2-11-1-1112-2-11-1-11122-2-22-22-20000-1-1-1-11111-1-111-1-111000000000000000000
χ502-22-22-22-122-2-2-2-2112-122-2-22-2-12-22-11-1-11111-1-22-2-1-111-1-111-1-1112-2-11-1-1112-2-11-1-111-2-222-22-2200001111-1-1-1-111-1-111-1-1000000000000000000
χ512-22-22-22-122-2-2-2-2112-122-2-2-22-1-222-1111-1-111-1-22-2-1-11111-1-1-1-111-22-1111-1-1-22-1111-1-122-2-2-22-220000-1-1-1-1111111-1-111-1-1000000000000000000
χ522-22-22-22-122-2-2-2-2112-122-2-2-22-1-222-1111-1-111-1-22-2-1-11111-1-1-1-111-22-1111-1-1-22-1111-1-1-2-2222-22-200001111-1-1-1-1-1-111-1-111000000000000000000
χ532-22-22-22-1-2-222-2-2112-1-2-22200-1002-11−i3i3i3−i311-1-2-2211-1-1−i3i3i3−i311-1-100-11−i3i3i3−i3001-1−i3i3i3−i32-2-2200000000-1-11111-1-1−i3i3i3−i3−i3i3i3−i3000000000000000000
χ542-22-22-22-1-2-222-2-2112-1-2-22200-1002-11−i3i3i3−i311-1-2-2211-1-1−i3i3i3−i311-1-100-11−i3i3i3−i3001-1−i3i3i3−i3-222-20000000011-1-1-1-111i3−i3−i3i3i3−i3−i3i3000000000000000000
χ552-22-22-22-1-2-222-2-2112-1-2-22200-1002-11i3−i3−i3i311-1-2-2211-1-1i3−i3−i3i311-1-100-11i3−i3−i3i3001-1i3−i3−i3i32-2-2200000000-1-11111-1-1i3−i3−i3i3i3−i3−i3i3000000000000000000
χ562-22-22-22-1-2-222-2-2112-1-2-22200-1002-11i3−i3−i3i311-1-2-2211-1-1i3−i3−i3i311-1-100-11i3−i3−i3i3001-1i3−i3−i3i3-222-20000000011-1-1-1-111−i3i3i3−i3−i3i3i3−i3000000000000000000
χ572-22-22-2-1222-2-211-2-2-12-1-1112-2-12-2-12-222-2-211-11-1122-2-222-2-2-1-111-11-11-1-111-11-11-1-111000000002i2i−2i−2i0000000000000000−i−i−i−iiiii2i−2i−i−iii0000
χ582-22-22-2-1222-2-211-2-2-12-1-1112-2-12-2-12-222-2-211-11-1122-2-222-2-2-1-111-11-11-1-111-11-11-1-11100000000−2i−2i2i2i0000000000000000iiii−i−i−i−i−2i2iii−i−i0000
χ592-22-22-2-1222-2-211-2-2-12-1-111-22-1-22-12-2-2-22211-11-1122-2-2-2-222-1-1111-1-1111-1-11-1-1111-1-1000000002i2i−2i−2i0000000000000000−i−i−i−iiiii−2i2iii−i−i0000
χ602-22-22-2-1222-2-211-2-2-12-1-111-22-1-22-12-2-2-22211-11-1122-2-2-2-222-1-1111-1-1111-1-11-1-1111-1-100000000−2i−2i2i2i0000000000000000iiii−i−i−i−i2i−2i−i−iii0000
χ612-22-2-22222-2-22-2-2-2-22222-2-200200-2-220000-2-222-222-2-22000022-2-200-22000000-22000000002-2-2200000000000022-2-2-2-222000000000000000000
χ622-22-2-22222-2-22-2-2-2-22222-2-200200-2-220000-2-222-222-2-22000022-2-200-22000000-2200000000-222-2000000000000-2-22222-2-2000000000000000000
χ632-22-2-2222-222-2-2-2-2-222-2-2222-22-22-2-2222-2-2-2-2222-2-222-2-2-222-2-2222-2-2222-2-2-222-2-2-2220000000000000000000000000000000000000000000000
χ642-22-2-2222-222-2-2-2-2-222-2-222-2222-2-2-22-2-222-2-2222-2-222-222-2-2-2-222-22-22-2-2222-22-222-2-20000000000000000000000000000000000000000000000
χ652-22-2-222-12-2-22-2-2112-122-2-200-100-21-1−i3i3i3−i311-12-22-111-1i3−i3−i3i3-1-111001-1−i3i3i3−i3001-1i3−i3−i3i300002-2-220000−i3i3−i3i3i3−i3i3−i3-1-11111-1-1000000000000000000
χ662-22-2-222-12-2-22-2-2112-122-2-200-100-21-1−i3i3i3−i311-12-22-111-1i3−i3−i3i3-1-111001-1−i3i3i3−i3001-1i3−i3−i3i30000-222-20000i3−i3i3−i3−i3i3−i3i311-1-1-1-111000000000000000000
χ672-22-2-222-12-2-22-2-2112-122-2-200-100-21-1i3−i3−i3i311-12-22-111-1−i3i3i3−i3-1-111001-1i3−i3−i3i3001-1−i3i3i3−i300002-2-220000i3−i3i3−i3−i3i3−i3i3-1-11111-1-1000000000000000000
χ682-22-2-222-12-2-22-2-2112-122-2-200-100-21-1i3−i3−i3i311-12-22-111-1−i3i3i3−i3-1-111001-1i3−i3−i3i3001-1−i3i3i3−i30000-222-20000−i3i3−i3i3i3−i3i3−i311-1-1-1-111000000000000000000
χ692-22-2-222-1-222-2-2-2112-1-2-2222-2-1-22-21-1-1-11111-122-21-1-1111-1-111-1-12-21-1-1-111-22-1111-1-1000000000000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3000000000000000000
χ702-22-2-222-1-222-2-2-2112-1-2-2222-2-1-22-21-1-1-11111-122-21-1-1111-1-111-1-12-21-1-1-111-22-1111-1-1000000000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3000000000000000000
χ712-22-2-222-1-222-2-2-2112-1-2-222-22-12-2-21-111-1-111-122-21-1-11-1-11111-1-1-221-111-1-12-2-11-1-111000000000000−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3000000000000000000
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χ1138-8-8800-4-400004-44-44443−43−4343002000000000-22-200000000000−232323−2300000000000000000000000000000000000000000000000000000000000000
χ1148-8-8800-4-400004-44-444−434343−43002000000000-22-20000000000023−23−232300000000000000000000000000000000000000000000000000000000000000

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