Finite Group Databasebeta

← Group #11781878

Character table — Group #11781878

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222444448888888888888121212121616162424242448111122222222444448888888888888121212121616162424242448111122222222444448888888888888121212121616162424242448
order12223444466641212121288881224242424242424248888412124488436663121212126661212121212242424241224242424242424242424242412121212122424123666312121212666121212121224242424122424242424242424242424241212121212242412
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111-1-1-1-1-1111111111111111111111111111111-1-1-1-1111-1-1-1-1-1111111111111111111111111111111-1-1-1-1111-1-1-1-1-1
χ31111111111111111111-1-111111-1-1-1-11111-1-1-111-1-1-11111111111111111111-1-111111-1-1-1-11111-1-1-111-1-1-11111111111111111111-1-111111-1-1-1-11111-1-1-111-1-1-1
χ41111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111-1-1111-1-1-1-111111111-1-1-1-1-111-111111111111111111-1-1111-1-1-1-111111111-1-1-1-1-111-111111111111111111-1-1111-1-1-1-111111111-1-1-1-1-111-1
χ611111111111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-111-1-1111111111111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-111-1-1111111111111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-111-1-11
χ711111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-1111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-1111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-11
χ811111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111-111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111-111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111-1
χ9222222-2-22222-2-22-220000-20000000000000002-2000222222-2-22222-2-22-220000-20000000000000002-2000222222-2-22222-2-22-220000-20000000000000002-2000
χ10222222-2-22222-2-22-220000-2000000000000000-22000222222-2-22222-2-22-220000-2000000000000000-22000222222-2-22222-2-22-220000-2000000000000000-22000
χ1122222-222-2222-22-22-20000-20000000022-2-20000000022222-222-2222-22-22-20000-20000000022-2-20000000022222-222-2222-22-22-20000-20000000022-2-200000000
χ1222222-222-2222-22-22-20000-200000000-2-2220000000022222-222-2222-22-22-20000-200000000-2-2220000000022222-222-2222-22-22-20000-200000000-2-22200000000
χ1322222-2-2-2-22222-2-2-2-22i−2i0022i2i−2i−2i000000000000000022222-2-2-2-22222-2-2-2-22i−2i0022i2i−2i−2i000000000000000022222-2-2-2-22222-2-2-2-22i−2i0022i2i−2i−2i0000000000000000
χ1422222-2-2-2-22222-2-2-2-2−2i2i002−2i−2i2i2i000000000000000022222-2-2-2-22222-2-2-2-2−2i2i002−2i−2i2i2i000000000000000022222-2-2-2-22222-2-2-2-2−2i2i002−2i−2i2i2i0000000000000000
χ152222-12222-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-100002-1-1000002222-12222-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-100002-1-1000002222-12222-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-100002-1-100000
χ162222-12222-1-1-12-1-1-1-122-2-2-1-1-1-1-111110000-211000002222-12222-1-1-12-1-1-1-122-2-2-1-1-1-1-111110000-211000002222-12222-1-1-12-1-1-1-122-2-2-1-1-1-1-111110000-21100000
χ172222-12222-1-1-12-1-1-1-1-2-222-11111-1-1-1-10000-211000002222-12222-1-1-12-1-1-1-1-2-222-11111-1-1-1-10000-211000002222-12222-1-1-12-1-1-1-1-2-222-11111-1-1-1-10000-21100000
χ182222-12222-1-1-12-1-1-1-1-2-2-2-2-11111111100002-1-1000002222-12222-1-1-12-1-1-1-1-2-2-2-2-11111111100002-1-1000002222-12222-1-1-12-1-1-1-1-2-2-2-2-11111111100002-1-100000
χ192222-1-2-2-2-2-1-1-1211112i−2i00-1−i−iii33−3−300000−i3i3000002222-1-2-2-2-2-1-1-1211112i−2i00-1−i−iii33−3−300000−i3i3000002222-1-2-2-2-2-1-1-1211112i−2i00-1−i−iii33−3−300000−i3i300000
χ202222-1-2-2-2-2-1-1-1211112i−2i00-1−i−iii−3−33300000i3−i3000002222-1-2-2-2-2-1-1-1211112i−2i00-1−i−iii−3−33300000i3−i3000002222-1-2-2-2-2-1-1-1211112i−2i00-1−i−iii−3−33300000i3−i300000
χ212222-1-2-2-2-2-1-1-121111−2i2i00-1ii−i−i33−3−300000i3−i3000002222-1-2-2-2-2-1-1-121111−2i2i00-1ii−i−i33−3−300000i3−i3000002222-1-2-2-2-2-1-1-121111−2i2i00-1ii−i−i33−3−300000i3−i300000
χ222222-1-2-2-2-2-1-1-121111−2i2i00-1ii−i−i−3−33300000−i3i3000002222-1-2-2-2-2-1-1-121111−2i2i00-1ii−i−i−3−33300000−i3i3000002222-1-2-2-2-2-1-1-121111−2i2i00-1ii−i−i−3−33300000−i3i300000
χ2322-2-2202-202-2-2020-20002−2000002−22−22-200000002−2022-2-2202-202-2-2020-20002−2000002−22−22-200000002−2022-2-2202-202-2-2020-20002−2000002−22−22-200000002−20
χ2422-2-2202-202-2-2020-20002−2000002−22−2-220000000−22022-2-2202-202-2-2020-20002−2000002−22−2-220000000−22022-2-2202-202-2-2020-20002−2000002−22−2-220000000−220
χ2522-2-2202-202-2-2020-2000−2200000−22−222-20000000−22022-2-2202-202-2-2020-2000−2200000−22−222-20000000−22022-2-2202-202-2-2020-2000−2200000−22−222-20000000−220
χ2622-2-2202-202-2-2020-2000−2200000−22−22-2200000002−2022-2-2202-202-2-2020-2000−2200000−22−22-2200000002−2022-2-2202-202-2-2020-2000−2200000−22−22-2200000002−20
χ274444-24-4-44-2-2-2-42-22-200002000000000000000000004444-24-4-44-2-2-2-42-22-200002000000000000000000004444-24-4-44-2-2-2-42-22-20000200000000000000000000
χ284444-2-444-4-2-2-2-4-22-2200002000000000000000000004444-2-444-4-2-2-2-4-22-2200002000000000000000000004444-2-444-4-2-2-2-4-22-220000200000000000000000000
χ2944-4-440-4404-4-40-4040000000000000000000000000044-4-440-4404-4-40-4040000000000000000000000000044-4-440-4404-4-40-40400000000000000000000000000
χ3044-4-4-204-40-2220-20200022−2200000−22−2200000000000044-4-4-204-40-2220-20200022−2200000−22−2200000000000044-4-4-204-40-2220-20200022−2200000−22−22000000000000
χ3144-4-4-204-40-2220-202000−2222000002−22−200000000000044-4-4-204-40-2220-202000−2222000002−22−200000000000044-4-4-204-40-2220-202000−2222000002−22−2000000000000
χ3244-4-4-20-440-222020-200000000006−6−6600000000000044-4-4-20-440-222020-200000000006−6−6600000000000044-4-4-20-440-222020-200000000006−6−66000000000000
χ3344-4-4-20-440-222020-20000000000−666−600000000000044-4-4-20-440-222020-20000000000−666−600000000000044-4-4-20-440-222020-20000000000−666−6000000000000
χ344-44-44400-4-4-440040-400000000000000000000000004-44-44400-4-4-440040-400000000000000000000000004-44-44400-4-4-440040-40000000000000000000000000
χ354-44-44-4004-4-4400-40400000000000000000000000004-44-44-4004-4-4400-40400000000000000000000000004-44-44-4004-4-4400-4040000000000000000000000000
χ364-44-4-2400-422-200-202000006−66−600000000000000004-44-4-2400-422-200-202000006−66−600000000000000004-44-4-2400-422-200-202000006−66−60000000000000000
χ374-44-4-2400-422-200-20200000−66−6600000000000000004-44-4-2400-422-200-20200000−66−6600000000000000004-44-4-2400-422-200-20200000−66−660000000000000000
χ384-44-4-2-400422-20020-200000i6−i6−i6i600000000000000004-44-4-2-400422-20020-200000i6−i6−i6i600000000000000004-44-4-2-400422-20020-200000i6−i6−i6i60000000000000000
χ394-44-4-2-400422-20020-200000−i6i6i6−i600000000000000004-44-4-2-400422-20020-200000−i6i6i6−i600000000000000004-44-4-2-400422-20020-200000−i6i6i6−i60000000000000000
χ404-4-4440000-44-400000000000000000000−2i22i2000000004-4-4440000-44-400000000000000000000−2i22i2000000004-4-4440000-44-400000000000000000000−2i22i200000000
χ414-4-4440000-44-4000000000000000000002i2−2i2000000004-4-4440000-44-4000000000000000000002i2−2i2000000004-4-4440000-44-4000000000000000000002i2−2i200000000
χ428-8-88-400004-440000000000000000000000000000008-8-88-400004-440000000000000000000000000000008-8-88-400004-44000000000000000000000000000000
χ43111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ44111111111111111111111111111111-1-1-1-1111-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32
χ451111111111111111111-1-111111-1-1-1-11111-1-1-111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32
χ461111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ4711111111111111111-1-1111-1-1-1-111111111-1-1-1-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32
χ4811111111111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-111-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ4911111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ5011111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32
χ51222222-2-22222-2-22-220000-20000000000000002-2000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i300001−i3000000000000000−1+i31−i3000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i300001+i3000000000000000−1−i31+i3000
χ52222222-2-22222-2-22-220000-2000000000000000-22000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i300001−i30000000000000001−i3−1+i3000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i300001+i30000000000000001+i3−1−i3000
χ5322222-222-2222-22-22-20000-20000000022-2-200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i300001−i300000000−1+i3−1+i31−i31−i300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i300001+i300000000−1−i3−1−i31+i31+i300000000
χ5422222-222-2222-22-22-20000-200000000-2-22200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i300001−i3000000001−i31−i3−1+i3−1+i300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i300001+i3000000001+i31+i3−1−i3−1−i300000000
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χ572222-12222-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-100002-1-100000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i320000−1+i31−i321−i3200000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i320000−1−i31+i321+i3200000
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χ94222222-2-22222-2-22-220000-2000000000000000-22000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i300001+i30000000000000001+i3−1−i3000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i300001−i30000000000000001−i3−1+i3000
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χ992222-12222-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-100002-1-100000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i320000−1−i31+i321+i3200000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i320000−1+i31−i321−i3200000
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χ1184-44-44400-4-4-440040-40000000000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i3−2−2i3002+2i32+2i32+2i3−2−2i300−2−2i302+2i30000000000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i3−2+2i3002−2i32−2i32−2i3−2+2i300−2+2i302−2i30000000000000000000000000
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χ1244-4-4440000-44-400000000000000000000−2i22i200000000−2−2i32+2i32+2i3−2−2i3−2−2i300002+2i3−2−2i32+2i3000000000000000000002ζ7+2ζ13−2ζ7−2ζ1300000000−2+2i32−2i32−2i3−2+2i3−2+2i300002−2i3−2+2i32−2i3000000000000000000002ζ5+2ζ23−2ζ5−2ζ2300000000
χ1254-4-4440000-44-4000000000000000000002i2−2i200000000−2−2i32+2i32+2i3−2−2i3−2−2i300002+2i3−2−2i32+2i300000000000000000000−2ζ7−2ζ132ζ7+2ζ1300000000−2+2i32−2i32−2i3−2+2i3−2+2i300002−2i3−2+2i32−2i300000000000000000000−2ζ5−2ζ232ζ5+2ζ2300000000
χ1268-8-88-400004-44000000000000000000000000000000−4−4i34+4i34+4i3−4−4i32+2i30000−2−2i32+2i3−2−2i3000000000000000000000000000000−4+4i34−4i34−4i3−4+4i32−2i30000−2+2i32−2i3−2+2i3000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.