Finite Group Databasebeta

← Group #11787776

Character table — Group #11787776

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order124422233444666612121212121236666666612121212121212121244661212121212121212121212121212121212122244444488881212121212121212446612121212121224242424888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ71111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ911-1-1-11-11111-11-1-1111-1-1-1-11-11-11-1-11-11-111-111-1-1i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i11-1-111-1-1ii−i−i1111-1-1-1-1i−i11-1-1ii−i−iii−i−iii−i−i1-1
χ1011-1-1-11-11111-11-1-1111-1-1-1-11-11-11-1-11-11-111-111-1-1i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i11-1-1-1-111−i−iii-1-1-1-11111i−i11-1-1ii−i−i−i−iii−i−iii-11
χ1111-1-1-11-11111-11-1-1111-1-1-1-11-11-11-1-11-11-111-111-1-1i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i-1-11111-1-1ii−i−i1111-1-1-1-1−ii-1-111−i−iiiii−i−i−i−iii-11
χ1211-1-1-11-11111-11-1-1111-1-1-1-11-11-11-1-11-11-111-111-1-1i−i1-1ii−i−i1-1iiiiii−i−i−i−i−i−i-1-111-1-111−i−iii-1-1-1-11111−ii-1-111−i−iii−i−iiiii−i−i1-1
χ1311-1-1-11-11111-11-1-1111-1-1-1-11-11-11-1-11-11-111-111-1-1−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii11-1-111-1-1−i−iii1111-1-1-1-1−ii11-1-1−i−iii−i−iii−i−iii1-1
χ1411-1-1-11-11111-11-1-1111-1-1-1-11-11-11-1-11-11-111-111-1-1−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii11-1-1-1-111ii−i−i-1-1-1-11111−ii11-1-1−i−iiiii−i−iii−i−i-11
χ1511-1-1-11-11111-11-1-1111-1-1-1-11-11-11-1-11-11-111-111-1-1−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii-1-11111-1-1−i−iii1111-1-1-1-1i−i-1-111ii−i−i−i−iiiii−i−i-11
χ1611-1-1-11-11111-11-1-1111-1-1-1-11-11-11-1-11-11-111-111-1-1−ii1-1−i−iii1-1−i−i−i−i−i−iiiiiii-1-111-1-111ii−i−i-1-1-1-11111i−i-1-111ii−i−iii−i−i−i−iii1-1
χ1722222222-1222222-122-1-122-12-1-1-1-1-12-122-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000022-1-1-1-1-1-1-1-10000000000
χ1822222222-1222222-122-1-122-12-1-1-1-1-12-122-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000000000-2-2111111110000000000
χ1922222222-1222222-122-1-122-12-1-1-1-1-12-122-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2-1-111111111111122220000000000000000-2-2-1-1-1-111110000000000
χ2022222222-1222222-122-1-122-12-1-1-1-1-12-122-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2-1-1111111111111-2-2-2-20000000000000000221111-1-1-1-10000000000
χ212222222-12222-1-1-12-1-122-1-1-1-122-1-1-1-12-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1000022222222-1-1-1-1-1-1-1-10000000000-1-1-1-1000000
χ222222222-12222-1-1-12-1-122-1-1-1-122-1-1-1-12-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-2-2-2-2-2-2-2-21111111100000000001111000000
χ232222222-12222-1-1-12-1-122-1-1-1-122-1-1-1-12-1-1222-1-1-1-1-2-2-1-11111-1-1-2-21111-2-2111100002222-2-2-2-2-1-1-1-1-1-1-1-100000000001111000000
χ242222222-12222-1-1-12-1-122-1-1-1-122-1-1-1-12-1-1222-1-1-1-1-2-2-1-11111-1-1-2-21111-2-211110000-2-2-2-22222111111110000000000-1-1-1-1000000
χ2522222-2-2222-2-222222222222-2-22222-2-2-2-22-2-2222200-2-20000-2-200000000000000000000000000000000000000000000002-22-200
χ2622222-2-2222-2-222222222222-2-22222-2-2-2-22-2-2222200-2-20000-2-20000000000000000000000000000000000000000000000-22-2200
χ272222-22-222-2-222-2-22-2-222222-22-22-2-22-2-22-2-22-2-222002-20000-220000000000002-22-20000000000000000002-22-200000000000000
χ282222-22-222-2-222-2-22-2-222222-22-22-2-22-2-22-2-22-2-222002-20000-22000000000000-22-22000000000000000000-22-2200000000000000
χ292222-22-22-1-2-222-2-2-1-2-2-1-122-1-2-11-11121-2211-111-1-100-1100001-13−333−3−33−333−3−32-22-2000000000000000000-11-113−33−30000000000
χ302222-22-22-1-2-222-2-2-1-2-2-1-122-1-2-11-11121-2211-111-1-100-1100001-13−333−3−33−333−3−3-22-220000000000000000001-11-1−33−330000000000
χ312222-22-22-1-2-222-2-2-1-2-2-1-122-1-2-11-11121-2211-111-1-100-1100001-1−33−3−333−33−3−3332-22-2000000000000000000-11-11−33−330000000000
χ322222-22-22-1-2-222-2-2-1-2-2-1-122-1-2-11-11121-2211-111-1-100-1100001-1−33−3−333−33−3−333-22-220000000000000000001-11-13−33−30000000000
χ332222-2-2222-22-22-2-22-2-2222222-2-22-2-2-222-2-22-2-2-22200-2200002-2000000000000000000002-22-20000000000000000002-22-2000000
χ342222-2-2222-22-22-2-22-2-2222222-2-22-2-2-222-2-22-2-2-22200-2200002-200000000000000000000-22-22000000000000000000-22-22000000
χ352222-2-22-12-22-2-11121122-1-1-1-1-2-2-11112-11-22-211-1-1001-13−33−3-11003−33−3003−33−3000000002-22-233−3−333−3−30000000000-11-11000000
χ362222-2-22-12-22-2-11121122-1-1-1-1-2-2-11112-11-22-211-1-1001-13−33−3-11003−33−3003−33−300000000-22-22−3−333−3−33300000000001-11-1000000
χ372222-2-22-12-22-2-11121122-1-1-1-1-2-2-11112-11-22-211-1-1001-1−33−33-1100−33−3300−33−33000000002-22-2−3−333−3−3330000000000-11-11000000
χ382222-2-22-12-22-2-11121122-1-1-1-1-2-2-11112-11-22-211-1-1001-1−33−33-1100−33−3300−33−3300000000-22-2233−3−333−3−300000000001-11-1000000
χ3922-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200220000-2-20000000000002-2-220000000000000000002-2-2200000000000000
χ4022-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200220000-2-2000000000000-222-2000000000000000000-222-200000000000000
χ4122-2-22222-1-2-2-2222-1-2-211-2-2-12-1-1-1-1-12-1-2-2111111100-1-1000011−i3i3−i3−i3i3i3i3−i3i3i3−i3−i32-2-22000000000000000000-111-1−i3i3i3−i30000000000
χ4222-2-22222-1-2-2-2222-1-2-211-2-2-12-1-1-1-1-12-1-2-2111111100-1-1000011−i3i3−i3−i3i3i3i3−i3i3i3−i3−i3-222-20000000000000000001-1-11i3−i3−i3i30000000000
χ4322-2-22222-1-2-2-2222-1-2-211-2-2-12-1-1-1-1-12-1-2-2111111100-1-1000011i3−i3i3i3−i3−i3−i3i3−i3−i3i3i32-2-22000000000000000000-111-1i3−i3−i3i30000000000
χ4422-2-22222-1-2-2-2222-1-2-211-2-2-12-1-1-1-1-12-1-2-2111111100-1-1000011i3−i3i3i3−i3−i3−i3i3−i3−i3i3i3-222-20000000000000000001-1-11−i3i3i3−i30000000000
χ4522-2-22-2-222-2222222-2-2-2-2-2-22-2-22222-2-222-222-2-2-2-200-2-2000022000000000000000000002i−2i−2i2i0000000000000000002i−2i−2i2i000000
χ4622-2-22-2-222-2222222-2-2-2-2-2-22-2-22222-2-222-222-2-2-2-200-2-200002200000000000000000000−2i2i2i−2i000000000000000000−2i2i2i−2i000000
χ4722-2-22-2-2-12-222-1-1-1211-2-211-11-22-1-1-11-2-1-1-22211110011−i3i3i3−i3-1-100−i3i3−i3i300i3−i3i3−i3000000002i−2i−2i2i−3−33333−3−30000000000−iii−i000000
χ4822-2-22-2-2-12-222-1-1-1211-2-211-11-22-1-1-11-2-1-1-22211110011−i3i3i3−i3-1-100−i3i3−i3i300i3−i3i3−i300000000−2i2i2i−2i33−3−3−3−3330000000000i−i−ii000000
χ4922-2-22-2-2-12-222-1-1-1211-2-211-11-22-1-1-11-2-1-1-22211110011i3−i3−i3i3-1-100i3−i3i3−i300−i3i3−i3i3000000002i−2i−2i2i33−3−3−3−3330000000000−iii−i000000
χ5022-2-22-2-2-12-222-1-1-1211-2-211-11-22-1-1-11-2-1-1-22211110011i3−i3−i3i3-1-100i3−i3i3−i300−i3i3−i3i300000000−2i2i2i−2i−3−33333−3−30000000000i−i−ii000000
χ5122-2-2-22-22-122-22-2-2-12211-2-2-1-2-11-111212-2-1-11-1-1112i−2i-112i2i−2i−2i-11−i−i−i−i−i−iiiiiii22-2-200000000000000002i−2i-1-111−i−iii0000000000
χ5222-2-2-22-22-122-22-2-2-12211-2-2-1-2-11-111212-2-1-11-1-1112i−2i-112i2i−2i−2i-11−i−i−i−i−i−iiiiiii-2-2220000000000000000−2i2i11-1-1ii−i−i0000000000
χ5322-2-2-22-22-122-22-2-2-12211-2-2-1-2-11-111212-2-1-11-1-111−2i2i-11−2i−2i2i2i-11iiiiii−i−i−i−i−i−i22-2-20000000000000000−2i2i-1-111ii−i−i0000000000
χ5422-2-2-22-22-122-22-2-2-12211-2-2-1-2-11-111212-2-1-11-1-111−2i2i-11−2i−2i2i2i-11iiiiii−i−i−i−i−i−i-2-22200000000000000002i−2i11-1-1−i−iii0000000000
χ5522-2-2-22-2-1222-2-1112-1-1-2-211-112-2-111-1-2-1122-2-1-1112i−2i-11−i−iii-112i2i−i−i−i−i−2i−2iiiii000022-2-22i2i−2i−2i-1-1-1-111110000000000−i−iii000000
χ5622-2-2-22-2-1222-2-1112-1-1-2-211-112-2-111-1-2-1122-2-1-1112i−2i-11−i−iii-112i2i−i−i−i−i−2i−2iiiii0000-2-222−2i−2i2i2i1111-1-1-1-10000000000ii−i−i000000
χ5722-2-2-22-2-1222-2-1112-1-1-2-211-112-2-111-1-2-1122-2-1-111−2i2i-11ii−i−i-11−2i−2iiiii2i2i−i−i−i−i000022-2-2−2i−2i2i2i-1-1-1-111110000000000ii−i−i000000
χ5822-2-2-22-2-1222-2-1112-1-1-2-211-112-2-111-1-2-1122-2-1-111−2i2i-11ii−i−i-11−2i−2iiiii2i2i−i−i−i−i0000-2-2222i2i−2i−2i1111-1-1-1-10000000000−i−iii000000
χ5922-2-2-2-22222-222-2-2222-2-2-2-222-2-22-2-2-22-222-2222-2-200-220000-2200000000000000000000000000000000000000000000002i−2i−2i2i00
χ6022-2-2-2-22222-222-2-2222-2-2-2-222-2-22-2-2-22-222-2222-2-200-220000-220000000000000000000000000000000000000000000000−2i2i2i−2i00
χ614444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-2-211114411-2-2-2-211-2-21111-2-211110000000000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-2-21111-4-41122221122-1-1-1-122-1-1-1-10000000000000000000000000000000000000000
χ6344444-4-44-24-4-4444-244-2-244-2-42-2-2-2-2-42-4-4-222-2-2-2-200220000220000000000000000000000000000000000000000000000000000
χ6444444-4-4-244-4-4-2-2-24-2-244-2-2-22-44-2-2-22-4224-4-4-2-2-2-200220000220000000000000000000000000000000000000000000000000000
χ6544444-4-4-2-24-4-4-2-2-2-2-2-2-2-2-2-2122-21112222-222111100-1-10000-1-1003-3-33003-3-330000000000000000000000000000000000000000
χ6644444-4-4-2-24-4-4-2-2-2-2-2-2-2-2-2-2122-21112222-222111100-1-10000-1-100-333-300-333-30000000000000000000000000000000000000000
χ674444-44-4-24-4-44-22242244-2-2-224-4-222-2-42-2-4-4422-2-200-2200002-20000000000000000000000000000000000000000000000000000
χ684444-44-4-2-2-4-44-222-222-2-2-2-212-221-1-1-222-222-2-1-111001-10000-1123−23−3−33323−23−3−3330000000000000000000000000000000000000000
χ694444-44-4-2-2-4-44-222-222-2-2-2-212-221-1-1-222-222-2-1-111001-10000-11−232333−3−3−232333−3−30000000000000000000000000000000000000000
χ704444-4-444-2-44-44-4-4-2-4-4-2-244-2422-222-4-24-42-2222-2-2002-20000-220000000000000000000000000000000000000000000000000000
χ714444-4-44-2-2-44-4-222-222-2-2-2-21-2221-1-12-2-222-22-1-11100-1123−2323−231-100−33−3300−33−330000000000000000000000000000000000000000
χ724444-4-44-2-2-44-4-222-222-2-2-2-21-2221-1-12-2-222-22-1-11100-11−2323−23231-1003−33−3003−33−30000000000000000000000000000000000000000
χ7344-4-4444-24-4-4-4-2-2-2422-4-422-2-244-2-2-2-2422-4-4-4222200-2-20000220000000000000000000000000000000000000000000000000000
χ7444-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2111-2-222222-1-1-1-100110000-1-1−2i32i3i3i3−i3−i32i3−2i3−i3−i3i3i30000000000000000000000000000000000000000
χ7544-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2111-2-222222-1-1-1-100110000-1-12i3−2i3−i3−i3i3i3−2i32i3i3i3−i3−i30000000000000000000000000000000000000000
χ7644-4-44-4-44-2-444444-2-4-422-4-4-2-42-2-2-2-2-42442-2-2222200220000-2-20000000000000000000000000000000000000000000000000000
χ7744-4-44-4-4-2-2-444-2-2-2-2222222122-211122-2-22-2-2-1-1-1-100-1-1−2i32i32i3−2i31100i3−i3i3−i300−i3i3−i3i30000000000000000000000000000000000000000
χ7844-4-44-4-4-2-2-444-2-2-2-2222222122-211122-2-22-2-2-1-1-1-100-1-12i3−2i3−2i32i31100−i3i3−i3i300i3−i3i3−i30000000000000000000000000000000000000000
χ7944-4-4-44-4-2-244-4-222-2-2-2222212-221-1-1-22-22-2-2211-1-14i−4i1-1−2i−2i2i2i1-1−2i−2iiiii2i2i−i−i−i−i0000000000000000000000000000000000000000
χ8044-4-4-44-4-2-244-4-222-2-2-2222212-221-1-1-22-22-2-2211-1-1−4i4i1-12i2i−2i−2i1-12i2i−i−i−i−i−2i−2iiiii0000000000000000000000000000000000000000
χ8144-4-4-4-444-24-444-4-4-24422-4-4-2422-222-4-2-44-22-2-2-222002-200002-20000000000000000000000000000000000000000000000000000
χ8244-4-4-4-44-244-44-2224-2-2-4-422-2-2-4-4-222242-24-44-2-222002-200002-20000000000000000000000000000000000000000000000000000
χ8344-4-4-4-44-2-24-44-222-2-2-222221-2221-1-12-22-2-22-211-1-100-110000-11003i−3i−3i3i00−3i3i3i−3i0000000000000000000000000000000000000000
χ8444-4-4-4-44-2-24-44-222-2-2-222221-2221-1-12-22-2-22-211-1-100-110000-1100−3i3i3i−3i003i−3i−3i3i0000000000000000000000000000000000000000
χ854-44i−4i00044000-400-4004i−4i4i−4i4000-4000000000004i−4i000000000000000000000000002-22i−2i00002-22-22i−2i2i−2i00000000000000000000
χ864-44i−4i00044000-400-4004i−4i4i−4i4000-4000000000004i−4i00000000000000000000000000-22−2i2i0000-22-22−2i2i−2i2i00000000000000000000
χ874-44i−4i000-240002−2i32i3-423−234i−4i−2i2i-20002−2i32i3000000023−23−2i2i000000000000000000000000002-22i−2i0000−1+31−3−1−31+3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ1100000000000000000000
χ884-44i−4i000-240002−2i32i3-423−234i−4i−2i2i-20002−2i32i3000000023−23−2i2i00000000000000000000000000-22−2i2i00001−3−1+31+3−1−3−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1100000000000000000000
χ894-44i−4i000-2400022i3−2i3-4−23234i−4i−2i2i-200022i3−2i30000000−2323−2i2i000000000000000000000000002-22i−2i0000−1−31+3−1+31−3−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000000000000
χ904-44i−4i000-2400022i3−2i3-4−23234i−4i−2i2i-200022i3−2i30000000−2323−2i2i00000000000000000000000000-22−2i2i00001+3−1−31−3−1+3ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000000000000
χ914-4−4i4i00044000-400-400−4i4i−4i4i4000-400000000000−4i4i000000000000000000000000002-2−2i2i00002-22-2−2i2i−2i2i00000000000000000000
χ924-4−4i4i00044000-400-400−4i4i−4i4i4000-400000000000−4i4i00000000000000000000000000-222i−2i0000-22-222i−2i2i−2i00000000000000000000
χ934-4−4i4i000-240002−2i32i3-4−2323−4i4i2i−2i-20002−2i32i30000000−23232i−2i000000000000000000000000002-2−2i2i0000−1−31+3−1+31−3ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000000000000
χ944-4−4i4i000-240002−2i32i3-4−2323−4i4i2i−2i-20002−2i32i30000000−23232i−2i00000000000000000000000000-222i−2i00001+3−1−31−3−1+3−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000000000000
χ954-4−4i4i000-2400022i3−2i3-423−23−4i4i2i−2i-200022i3−2i3000000023−232i−2i000000000000000000000000002-2−2i2i0000−1+31−3−1−31+3−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1100000000000000000000
χ964-4−4i4i000-2400022i3−2i3-423−23−4i4i2i−2i-200022i3−2i3000000023−232i−2i00000000000000000000000000-222i−2i00001−3−1+31+3−1−3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ1100000000000000000000
χ978-88i−8i0008-4000-800400−4i4i8i−8i-4000400000000000−4i4i00000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-40004−4i34i3443−43−4i4i−4i4i2000-22i3−2i30000000−23232i−2i00000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-400044i3−4i34−4343−4i4i−4i4i2000-2−2i32i3000000023−232i−2i00000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0008-4000-8004004i−4i−8i8i-40004000000000004i−4i00000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-40004−4i34i34−43434i−4i4i−4i2000-22i3−2i3000000023−23−2i2i00000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-400044i3−4i3443−434i−4i4i−4i2000-2−2i32i30000000−2323−2i2i00000000000000000000000000000000000000000000000000000000000000

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