Finite Group Databasebeta

← Group #11867806

Character table — Group #11867806

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444666666666666888888888888888812121212121212121212121212121212121224242424242424242424242472727272
order1222223344446666661212121222344666666666661212121212121212121212121212888824242424242424246666666612121212121212128888882424242424242424242424242444661212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-111-1-1
χ61111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111
χ71111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111-1-111111-1-1-1-1-1-111
χ81111111111111111111111-1-11-1-111-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-111-1-1-1-1-1111111-1-1
χ91111-1-1111-1-1111111111111-111-1-1-111-1-1-1-1111-1-111-1-111-1-111111111111111111-1-1-111-1-11-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-11-1
χ101111-1-1111-1-1111111111111-111-1-1-111-1-1-1-1111-1-111-1-111-1-111111111111111111-1-1-111-1-11-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-11-11
χ111111-1-1111-1-1111111111111-111-1-1-111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-11-1-1-111-1-111-1-1111111-1-1-1-1111111-1-111-1-111-1-1-11-11
χ121111-1-1111-1-1111111111111-111-1-1-111-1-1-1-1111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-11-1-1-111-1-111-1-1111111-1-1-1-11111-1-111-1-111-1-1111-11-1
χ131111-1-1111-1-111111111111-111-11-1-1-1-111-1-1111-1-1-1-11111-1-11111111111111111-11-1-1-1-111-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111-11-111-1-1-1-1111-1-11
χ141111-1-1111-1-111111111111-111-11-1-1-1-111-1-1111-1-1-1-11111-1-11111111111111111-11-1-1-1-111-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-11-11-1-11111-1-1-111-1
χ151111-1-1111-1-111111111111-111-11-1-1-1-111-1-1111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-11-1-1-1-1111111-1-111111111-1-1-1-11-11-111-1-1-1-111-111-1
χ161111-1-1111-1-111111111111-111-11-1-1-1-111-1-1111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-11-1-1-1-1111111-1-111111111-1-1-1-1-11-11-1-11111-1-11-1-11
χ1722222222-2-2-2-2222222-2-2-2-22-22-222222-2-222222-2-2-2-222-2-2-2-2-2-2-2-20000000000002-22222-2-2-22-2-2-2-2220000000000000000000000000000000000
χ1822222222-2-2-2-2222222-2-2-2-2-2222-222-2-22222222-2-222-2-2-2-2-2-2-2-2-2-2000000000000-2222-2-2222-2-2-222-2-20000000000000000000000000000000000
χ192222222-1222222-12-1-1222222-122222222-1-1-1-1-1222222-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-10000
χ202222222-1222222-12-1-1222222-122222222-1-1-1-1-1222222-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2111111110000
χ212222222-1222222-12-1-12222-2-2-1-2-222-2-2-2-2-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-100000000000011-1-1111111-1-111110000000000000000002-2-22-1-1-1-111110000
χ222222222-1222222-12-1-12222-2-2-1-2-222-2-2-2-2-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-100000000000011-1-1111111-1-11111000000000000000000-222-21111-1-1-1-10000
χ232222222-1-2-2-2-222-12-1-1-2-2-2-22-2-1-222222-2-2-1-1-1-1-1-2-2-2-22211111111000000000000-11-1-1-1-1111-11111-1-10000000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ242222222-1-2-2-2-222-12-1-1-2-2-2-22-2-1-222222-2-2-1-1-1-1-1-2-2-2-22211111111000000000000-11-1-1-1-1111-11111-1-10000000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ252222222-1-2-2-2-222-12-1-1-2-2-2-2-22-12-222-2-222-1-1-1-1-1-2-222-2-2111111110000000000001-1-1-111-1-1-1111-1-1110000000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ262222222-1-2-2-2-222-12-1-1-2-2-2-2-22-12-222-2-222-1-1-1-1-1-2-222-2-2111111110000000000001-1-1-111-1-1-1111-1-1110000000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ27222222-122222-1-12-122-1-1-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ28222222-122222-1-12-122-1-1-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-21111111122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-21111111111110000000000000000
χ29222222-122222-1-12-122-1-1-1-1-2-2-1-2-2-1-1111122-1-1-1-1-111112222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-1-11111-2-2-1-1111122-2-2-2-2-1-1-1-1111111110000000000000000
χ30222222-122222-1-12-122-1-1-1-1-2-2-1-2-2-1-1111122-1-1-1-1-111112222-1-1-1-1-2-2-2-211111111-2-2-1-11111-2-2-1-11111-2-222221111-1-1-1-1-1-1-1-10000000000000000
χ31222222-12-2-2-2-2-1-12-12211112-2-1-22-1-1-1-11122-1-1-11111-1-1-2-2-2-2111100003333−3−3−3−32-2-1-1-1-111-221111-1-100000033−3−333−3−333−3−30000000000000000
χ32222222-12-2-2-2-2-1-12-12211112-2-1-22-1-1-1-11122-1-1-11111-1-1-2-2-2-211110000−3−3−3−333332-2-1-1-1-111-221111-1-1000000−3−333−3−333−3−3330000000000000000
χ33222222-12-2-2-2-2-1-12-1221111-22-12-2-1-111-1-122-1-1-111-1-111-2-2-2-2111100003333−3−3−3−3-22-1-111-1-12-211-1-11100000033−3−3−3−333−3−3330000000000000000
χ34222222-12-2-2-2-2-1-12-1221111-22-12-2-1-111-1-122-1-1-111-1-111-2-2-2-211110000−3−3−3−33333-22-1-111-1-12-211-1-111000000−3−33333−3−333−3−30000000000000000
χ352222-2-222-222-2222222-2-2-2-2222-2-2-2-22222-2-222222-2-2-2-2-2-222-2-2-2-200000000000022-2-22222-2-222-2-2-2-20000000000000000000000000000000000
χ362222-2-222-222-2222222-2-2-2-2-2-2222-2-2-2-2-2-2-2-2222222222-2-222-2-2-2-2000000000000-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000
χ372222-2-22-12-2-2222-12-1-122222-2-12-2-2-222-2-211-1-1-1-2-222-2-2-1-111-1-1-1-1000000000000-1111-1-111-1111-1-11100000000000000000022-2-2-1-111-1-1110000
χ382222-2-22-12-2-2222-12-1-122222-2-12-2-2-222-2-211-1-1-1-2-222-2-2-1-111-1-1-1-1000000000000-1111-1-111-1111-1-111000000000000000000-2-22211-1-111-1-10000
χ392222-2-22-12-2-2222-12-1-12222-22-1-22-2-2-2-22211-1-1-1-2-2-2-222-1-111-1-1-1-10000000000001-11111-1-11-11111-1-10000000000000000002-22-2-1-11111-1-10000
χ402222-2-22-12-2-2222-12-1-12222-22-1-22-2-2-2-22211-1-1-1-2-2-2-222-1-111-1-1-1-10000000000001-11111-1-11-11111-1-1000000000000000000-22-2211-1-1-1-1110000
χ412222-2-22-1-222-222-12-1-1-2-2-2-222-1-2-2-2-2222211-1-1-122-2-2-2-211-1-11111000000000000-1-111-1-1-1-111-1-111110000000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ422222-2-22-1-222-222-12-1-1-2-2-2-222-1-2-2-2-2222211-1-1-122-2-2-2-211-1-11111000000000000-1-111-1-1-1-111-1-111110000000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ432222-2-22-1-222-222-12-1-1-2-2-2-2-2-2-122-2-2-2-2-2-211-1-1-122222211-1-1111100000000000011111111-1-1-1-1-1-1-1-10000000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ442222-2-22-1-222-222-12-1-1-2-2-2-2-2-2-122-2-2-2-2-2-211-1-1-122222211-1-1111100000000000011111111-1-1-1-1-1-1-1-10000000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ452222-2-2-122-2-22-1-12-122-1-1-1-12-2-12-211-1-111-2-2-1-1-111-1-11122-2-2-1-1-1-12222-1-1-1-1-1-1-1-12-211-1-1112-211-1-111-2-222-2-21111-1-1-1-111110000000000000000
χ462222-2-2-122-2-22-1-12-122-1-1-1-12-2-12-211-1-111-2-2-1-1-111-1-11122-2-2-1-1-1-1-2-2-2-2111111112-211-1-1112-211-1-11122-2-222-1-1-1-11111-1-1-1-10000000000000000
χ472222-2-2-122-2-22-1-12-122-1-1-1-1-22-1-221111-1-1-2-2-1-1-11111-1-122-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-221111-1-1-221111-1-1-2-2-2-22211111111-1-1-1-10000000000000000
χ482222-2-2-122-2-22-1-12-122-1-1-1-1-22-1-221111-1-1-2-2-1-1-11111-1-122-2-2-1-1-1-1-2-2-2-211111111-221111-1-1-221111-1-12222-2-2-1-1-1-1-1-1-1-111110000000000000000
χ492222-2-2-12-222-2-1-12-122111122-1-2-211-1-1-1-1-2-2-1-1-1-1-11111-2-222111100003333−3−3−3−32211-1-1-1-1-2-2-1-11111000000−3−33333−3−3−3−3330000000000000000
χ502222-2-2-12-222-2-1-12-122111122-1-2-211-1-1-1-1-2-2-1-1-1-1-11111-2-22211110000−3−3−3−333332211-1-1-1-1-2-2-1-1111100000033−3−3−3−33333−3−30000000000000000
χ512222-2-2-12-222-2-1-12-1221111-2-2-122111111-2-2-1-1-1-1-1-1-1-1-1-2-222111100003333−3−3−3−3-2-211111122-1-1-1-1-1-1000000−3−333−3−33333−3−30000000000000000
χ522222-2-2-12-222-2-1-12-1221111-2-2-122111111-2-2-1-1-1-1-1-1-1-1-1-2-22211110000−3−3−3−33333-2-211111122-1-1-1-1-1-100000033−3−333−3−3−3−3330000000000000000
χ532-2-222-22222-2-2-2-2-222-222-2-2002002-200002-2-2-222-200002-22-222-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i002-20000002-200002i−2i00002i−2i2i−2i000000000000000000000000
χ542-2-222-22222-2-2-2-2-222-222-2-2002002-200002-2-2-222-200002-22-222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i002-20000002-20000−2i2i0000−2i2i−2i2i000000000000000000000000
χ552-2-222-222-2-222-2-2-222-2-2-222002002-200002-2-2-22-220000-22-22-2-222000000000000002-2000000-220000002-22-200002-22-22-22-20000000000000000
χ562-2-222-222-2-222-2-2-222-2-2-222002002-200002-2-2-22-220000-22-22-2-222000000000000002-2000000-22000000-22-220000-22-22-22-220000000000000000
χ572-2-222-2-1222-2-211-2-12-2-1-11100-100-11−i3i3−i3i32-211-1-11−i3i3−i3i32-22-2-1-1112i2i−2i−2i−i−iii−i−iii00-11−i3i3−i3i300-11−i3i3−i3i32i−2i0000−ii−ii3−3−333−3−330000000000000000
χ582-2-222-2-1222-2-211-2-12-2-1-11100-100-11−i3i3−i3i32-211-1-11−i3i3−i3i32-22-2-1-111−2i−2i2i2iii−i−iii−i−i00-11−i3i3−i3i300-11−i3i3−i3i3−2i2i0000i−ii−i−333−3−333−30000000000000000
χ592-2-222-2-1222-2-211-2-12-2-1-11100-100-11i3−i3i3−i32-211-1-11i3−i3i3−i32-22-2-1-1112i2i−2i−2i−i−iii−i−iii00-11i3−i3i3−i300-11i3−i3i3−i32i−2i0000−ii−ii−333−3−333−30000000000000000
χ602-2-222-2-1222-2-211-2-12-2-1-11100-100-11i3−i3i3−i32-211-1-11i3−i3i3−i32-22-2-1-111−2i−2i2i2iii−i−iii−i−i00-11i3−i3i3−i300-11i3−i3i3−i3−2i2i0000i−ii−i3−3−333−3−330000000000000000
χ612-2-222-2-12-2-22211-2-12-211-1-100-100-11−i3i3i3−i32-211-11-1i3−i3−i3i3-22-2211-1-10000−i3−i3i3i3i3i3−i3−i300-11−i3i3i3−i3001-1i3−i3−i3i3002-22-2−i3i3i3−i3-11-11-11-110000000000000000
χ622-2-222-2-12-2-22211-2-12-211-1-100-100-11−i3i3i3−i32-211-11-1i3−i3−i3i3-22-2211-1-10000i3i3−i3−i3−i3−i3i3i300-11−i3i3i3−i3001-1i3−i3−i3i300-22-22i3−i3−i3i31-11-11-11-10000000000000000
χ632-2-222-2-12-2-22211-2-12-211-1-100-100-11i3−i3−i3i32-211-11-1−i3i3i3−i3-22-2211-1-10000−i3−i3i3i3i3i3−i3−i300-11i3−i3−i3i3001-1−i3i3i3−i300-22-22−i3i3i3−i31-11-11-11-10000000000000000
χ642-2-222-2-12-2-22211-2-12-211-1-100-100-11i3−i3−i3i32-211-11-1−i3i3i3−i3-22-2211-1-10000i3i3−i3−i3−i3−i3i3i300-11i3−i3−i3i3001-1−i3i3i3−i3002-22-2i3−i3−i3i3-11-11-11-110000000000000000
χ652-2-22-22222-22-2-2-2-222-222-2-200200-220000-22-2-22-2200002-2-2222-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00-22000000-220000−2i2i0000−2i2i−2i2i000000000000000000000000
χ662-2-22-22222-22-2-2-2-222-222-2-200200-220000-22-2-22-2200002-2-2222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00-22000000-2200002i−2i00002i−2i2i−2i000000000000000000000000
χ672-2-22-2222-22-22-2-2-222-2-2-22200200-220000-22-2-222-20000-222-2-2-22200000000000000-220000002-20000002-2-2200002-22-2-22-220000000000000000
χ682-2-22-2222-22-22-2-2-222-2-2-22200200-220000-22-2-222-20000-222-2-2-22200000000000000-220000002-2000000-222-20000-22-222-22-20000000000000000
χ692-2-22-22-122-22-211-2-12-2-1-11100-1001-1−i3i3i3−i3-2211-11-1−i3i3i3−i32-2-22-1-1112i2i−2i−2i−i−iii−i−iii001-1−i3i3i3−i3001-1−i3i3i3−i3−2i2i0000i−ii−i3−3−33−333−30000000000000000
χ702-2-22-22-122-22-211-2-12-2-1-11100-1001-1−i3i3i3−i3-2211-11-1−i3i3i3−i32-2-22-1-111−2i−2i2i2iii−i−iii−i−i001-1−i3i3i3−i3001-1−i3i3i3−i32i−2i0000−ii−ii−333−33−3−330000000000000000
χ712-2-22-22-122-22-211-2-12-2-1-11100-1001-1i3−i3−i3i3-2211-11-1i3−i3−i3i32-2-22-1-1112i2i−2i−2i−i−iii−i−iii001-1i3−i3−i3i3001-1i3−i3−i3i3−2i2i0000i−ii−i−333−33−3−330000000000000000
χ722-2-22-22-122-22-211-2-12-2-1-11100-1001-1i3−i3−i3i3-2211-11-1i3−i3−i3i32-2-22-1-111−2i−2i2i2iii−i−iii−i−i001-1i3−i3−i3i3001-1i3−i3−i3i32i−2i0000−ii−ii3−3−33−333−30000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.