Finite Group Databasebeta

← Group #13161768

Character table — Group #13161768

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1122222222222444444444444444444444444444444444488888888888888888888888888888888889918181818181818363636363636363636363636363636367272727272727272
order1223334466612123333366666666881212121212121212121212121212122424242466666121212121224242424242424242424242424242424242424242424242422244661212222268888881224242424666624242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-111-1-111
χ511111111111111111111111111-1-1111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1
χ611111111111111111111111111-1-1111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111-1-1111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1111111-1-1-1-111
χ811111111111111111111111111-1-1111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-11111-1-11111-1-1
χ9111111-1-1111-1-11111111111111i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i11111-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i111-1-111-1-11-11-11i−ii−ii−i-1ii−i−i1-11-1i−ii−i
χ10111111-1-1111-1-11111111111111i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i11111-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i111-1-111-1-1-11-111i−i−ii−ii-1ii−i−i-11-11−ii−ii
χ11111111-1-1111-1-11111111111111i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i11111-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-1-111-1-1111-1-11-1−iii−i−ii1−i−iii1-1-11i−i−ii
χ12111111-1-1111-1-11111111111111i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i11111-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-1-111-1-111-111-1-1−ii−iii−i1−i−iii-111-1−iii−i
χ13111111-1-1111-1-11111111111111−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii111-1-111-1-11-11-11−ii−ii−ii-1−i−iii1-11-1−ii−ii
χ14111111-1-1111-1-11111111111111−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii111-1-111-1-1-11-111−iii−ii−i-1−i−iii-11-11i−ii−i
χ15111111-1-1111-1-11111111111111−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-1-111-1-1111-1-11-1i−i−iii−i1ii−i−i1-1-11−iii−i
χ16111111-1-1111-1-11111111111111−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-1-111-1-111-111-1-1i−ii−i−ii1ii−i−i-111-1i−i−ii
χ1722222-1222-12222-1-1-1-122-12-1-1-1-12222-122-1-1-1-1-1-1-1-12-122222-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1000000000002200000220000000-1-100-1-1
χ1822222-1222-12222-1-1-1-122-12-1-1-1-12222-122-1-1-1-1-1-1-1-12-122222-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-100000000000-2-200000-2-20000000110011
χ1922222-1222-12222-1-1-1-122-12-1-1-1-1-2-222-122-1-1-1-1-1-1-1-12-1-2-2-2-22-1-1-1-12-1-1-1-1-2-2-2111111111-2-2-2111111111000000000002200000-2-20000000-1-10011
χ2022222-1222-12222-1-1-1-122-12-1-1-1-1-2-222-122-1-1-1-1-1-1-1-12-1-2-2-2-22-1-1-1-12-1-1-1-1-2-2-2111111111-2-2-211111111100000000000-2-2000002200000001100-1-1
χ2122222-1-2-22-12-2-22-1-1-1-122-12-1-1-1-12i−2i-2-21-2-211111111-212i2i−2i−2i2-1-1-1-1-211112i2i2i−i−i−i−i−i−i−i−i−i−2i−2i−2iiiiiiiiii000000000002-2000002i−2i0000000-1100−ii
χ2222222-1-2-22-12-2-22-1-1-1-122-12-1-1-1-12i−2i-2-21-2-211111111-212i2i−2i−2i2-1-1-1-1-211112i2i2i−i−i−i−i−i−i−i−i−i−2i−2i−2iiiiiiiiii00000000000-2200000−2i2i00000001-100i−i
χ2322222-1-2-22-12-2-22-1-1-1-122-12-1-1-1-1−2i2i-2-21-2-211111111-21−2i−2i2i2i2-1-1-1-1-21111−2i−2i−2iiiiiiiiii2i2i2i−i−i−i−i−i−i−i−i−i000000000002-200000−2i2i0000000-1100i−i
χ2422222-1-2-22-12-2-22-1-1-1-122-12-1-1-1-1−2i2i-2-21-2-211111111-21−2i−2i2i2i2-1-1-1-1-21111−2i−2i−2iiiiiiiiii2i2i2i−i−i−i−i−i−i−i−i−i00000000000-22000002i−2i00000001-100−ii
χ252222-1222-12222-12-1-1-12-12-12-1-1-1222-12-1-122-1-1-1-1-1-1-122222-12-1-1-1-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-10000000002200000220000000-1-100-1-100
χ262222-1222-12222-12-1-1-12-12-12-1-1-1222-12-1-122-1-1-1-1-1-1-122222-12-1-1-1-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000-2-200000-2-2000000011001100
χ272222-1222-12222-12-1-1-12-12-12-1-1-1-2-22-12-1-122-1-1-1-1-1-1-12-2-2-2-2-12-1-1-1-12-1-1-1111-2-2-2111111111-2-2-21111110000000002200000-2-20000000-1-1001100
χ282222-1222-12222-12-1-1-12-12-12-1-1-1-2-22-12-1-122-1-1-1-1-1-1-12-2-2-2-2-12-1-1-1-12-1-1-1111-2-2-2111111111-2-2-2111111000000000-2-2000002200000001100-1-100
χ292222-12-2-2-122-2-2-12-1-1-12-12-12-1-1-12i−2i-21-211-2-21111111-22i2i−2i−2i-12-1-1-11-2111−i−i−i2i2i2i−i−i−i−i−i−iiii−2i−2i−2iiiiiii0000000002-2000002i−2i0000000-1100−ii00
χ302222-12-2-2-122-2-2-12-1-1-12-12-12-1-1-12i−2i-21-211-2-21111111-22i2i−2i−2i-12-1-1-11-2111−i−i−i2i2i2i−i−i−i−i−i−iiii−2i−2i−2iiiiiii000000000-2200000−2i2i00000001-100i−i00
χ312222-12-2-2-122-2-2-12-1-1-12-12-12-1-1-1−2i2i-21-211-2-21111111-2−2i−2i2i2i-12-1-1-11-2111iii−2i−2i−2iiiiiii−i−i−i2i2i2i−i−i−i−i−i−i0000000002-200000−2i2i0000000-1100i−i00
χ322222-12-2-2-122-2-2-12-1-1-12-12-12-1-1-1−2i2i-21-211-2-21111111-2−2i−2i2i2i-12-1-1-11-2111iii−2i−2i−2iiiiiii−i−i−i2i2i2i−i−i−i−i−i−i000000000-22000002i−2i00000001-100−ii00
χ33222-1222222-1-1-1-1-12-1-1-122-1-12-1-122-122-1-1-1-122-1-1-1-122-1-1-1-1-1-12-1-1-1-12-1-12-1-12-1-122-1-1-1-12-1-12-1-122-1-1-1-122222-1-1-1-10000-1220000-1-1-1-1-100000000
χ34222-1222222-1-1-1-1-12-1-1-122-1-12-1-122-122-1-1-1-122-1-1-1-122-1-1-1-1-1-12-1-1-1-12-1-12-1-12-1-122-1-1-1-12-1-12-1-122-1-1-1-1-2-2-2-2-2111100001-2-200001111100000000
χ35222-1222222-1-1-1-1-12-1-1-122-1-12-1-1-2-2-122-1-1-1-122-1-1-1-1221111-1-12-1-1-1-12-1-1-211-211-2-21111-211-211-2-2111122222-1-1-1-10000-1-2-20000-1111100000000
χ36222-1222222-1-1-1-1-12-1-1-122-1-12-1-1-2-2-122-1-1-1-122-1-1-1-1221111-1-12-1-1-1-12-1-1-211-211-2-21111-211-211-2-21111-2-2-2-2-21111000012200001-1-1-1-100000000
χ37222-122-2-222-111-1-12-1-1-122-1-12-1-12i−2i1-2-21111-2-21111-2-2−i−iii-1-12-1-111-2112i−i−i2i−i−i2i2i−i−i−i−i−2iii−2iii−2i−2iiiii222-2-2-1-1110000-12i−2i00001−i−iii00000000
χ38222-122-2-222-111-1-12-1-1-122-1-12-1-12i−2i1-2-21111-2-21111-2-2−i−iii-1-12-1-111-2112i−i−i2i−i−i2i2i−i−i−i−i−2iii−2iii−2i−2iiiii-2-2-22211-1-100001−2i2i0000-1ii−i−i00000000
χ39222-122-2-222-111-1-12-1-1-122-1-12-1-1−2i2i1-2-21111-2-21111-2-2ii−i−i-1-12-1-111-211−2iii−2iii−2i−2iiiii2i−i−i2i−i−i2i2i−i−i−i−i222-2-2-1-1110000-1−2i2i00001ii−i−i00000000
χ40222-122-2-222-111-1-12-1-1-122-1-12-1-1−2i2i1-2-21111-2-21111-2-2ii−i−i-1-12-1-111-211−2iii−2iii−2i−2iiiii2i−i−i2i−i−i2i2i−i−i−i−i-2-2-22211-1-1000012i−2i0000-1−i−iii00000000
χ4122-22222-22222222222-2-2-22222200-2222222222222-2-20000-2-2-2-2-2-2-2-2-2-200000000000000000000000022-22-222220000-2000000-2000000000000
χ4222-22222-22222222222-2-2-22222200-2222222222222-2-20000-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-22-22-2-2-2-2000020000002000000000000
χ4322-2222-22222-2-222222-2-2-222222002-2-2-2-2-2-2-2-2-2-2-2-2220000-2-2-2-2-22222200000000000000000000000022-2-2222-2-20000-20000002000000000000
χ4422-2222-22222-2-222222-2-2-222222002-2-2-2-2-2-2-2-2-2-2-2-2220000-2-2-2-2-222222000000000000000000000000-2-222-2-2-22200002000000-2000000000000
χ4522-2-1222-222-1-1-1-1-12-1-11-2-2-1-12-1-100122-1-1-1-122-1-1-1-1-2-2−i3i3−i3i311-21111-2110−i3i30−i3i300−i3−i3i3i30−i3i30−i3i300−i3−i3i3i322-22-2-1-1-1-1000010000001−i3i3−i3i300000000
χ4622-2-1222-222-1-1-1-1-12-1-11-2-2-1-12-1-100122-1-1-1-122-1-1-1-1-2-2−i3i3−i3i311-21111-2110−i3i30−i3i300−i3−i3i3i30−i3i30−i3i300−i3−i3i3i3-2-22-2211110000-1000000-1i3−i3i3−i300000000
χ4722-2-1222-222-1-1-1-1-12-1-11-2-2-1-12-1-100122-1-1-1-122-1-1-1-1-2-2i3−i3i3−i311-21111-2110i3−i30i3−i300i3i3−i3−i30i3−i30i3−i300i3i3−i3−i322-22-2-1-1-1-1000010000001i3−i3i3−i300000000
χ4822-2-1222-222-1-1-1-1-12-1-11-2-2-1-12-1-100122-1-1-1-122-1-1-1-1-2-2i3−i3i3−i311-21111-2110i3−i30i3−i300i3i3−i3−i30i3−i30i3−i300i3i3−i3−i3-2-22-2211110000-1000000-1−i3i3−i3i300000000
χ4922-2-122-2222-111-1-12-1-11-2-2-1-12-1-100-1-2-21111-2-21111223−3−3311-211-1-12-1-103−303−30033−3−30−330−3300−3−33322-2-22-1-11100001000000-13−3−3300000000
χ5022-2-122-2222-111-1-12-1-11-2-2-1-12-1-100-1-2-21111-2-21111223−3−3311-211-1-12-1-103−303−30033−3−30−330−3300−3−333-2-222-211-1-10000-10000001−333−300000000
χ5122-2-122-2222-111-1-12-1-11-2-2-1-12-1-100-1-2-21111-2-2111122−333−311-211-1-12-1-10−330−3300−3−33303−303−30033−3−322-2-22-1-11100001000000-1−333−300000000
χ5222-2-122-2222-111-1-12-1-11-2-2-1-12-1-100-1-2-21111-2-2111122−333−311-211-1-12-1-10−330−3300−3−33303−303−30033−3−3-2-222-211-1-10000-100000013−3−3300000000
χ534444-2-244-2-2444-2-21114-2-2-2-2111444-2-2-2-2-2-2111111-2-24444-2-2111-2-2111-2-2-2-2-2-2111111-2-2-2-2-2-2111111000000000000000000000000000000000
χ544444-2-244-2-2444-2-21114-2-2-2-2111-4-44-2-2-2-2-2-2111111-2-2-4-4-4-4-2-2111-2-2111222222-1-1-1-1-1-1222222-1-1-1-1-1-1000000000000000000000000000000000
χ554444-2-2-4-4-2-24-4-4-2-21114-2-2-2-21114i−4i-4222222-1-1-1-1-1-1224i4i−4i−4i-2-211122-1-1-1−2i−2i−2i−2i−2i−2iiiiiii2i2i2i2i2i2i−i−i−i−i−i−i000000000000000000000000000000000
χ564444-2-2-4-4-2-24-4-4-2-21114-2-2-2-2111−4i4i-4222222-1-1-1-1-1-122−4i−4i4i4i-2-211122-1-1-12i2i2i2i2i2i−i−i−i−i−i−i−2i−2i−2i−2i−2i−2iiiiiii000000000000000000000000000000000
χ57444-24-2444-2-2-2-2-21-211-24-2-21-21144-24-2-2-211-2-211114-2-2-2-2-2-21-211-21-2114-2-2-211-2-211114-2-2-211-2-21111000000000000000000000000000000000
χ58444-24-2444-2-2-2-2-21-211-24-2-21-211-4-4-24-2-2-211-2-211114-22222-21-211-21-211-4222-1-122-1-1-1-1-4222-1-122-1-1-1-1000000000000000000000000000000000
χ59444-24-2-4-44-2-222-21-211-24-2-21-2114i−4i2-4222-1-122-1-1-1-1-42−2i−2i2i2i-21-2112-12-1-14i−2i−2i−2iii−2i−2iiiii−4i2i2i2i−i−i2i2i−i−i−i−i000000000000000000000000000000000
χ60444-24-2-4-44-2-222-21-211-24-2-21-211−4i4i2-4222-1-122-1-1-1-1-422i2i−2i−2i-21-2112-12-1-1−4i2i2i2i−i−i2i2i−i−i−i−i4i−2i−2i−2iii−2i−2iiiii000000000000000000000000000000000
χ61444-2-2444-24-2-2-21-2-211-2-241-2-21144-2-2411-2-2-2-21111-24-2-2-2-21-2-2111-2-211-2114-2-2-2-21111-2114-2-2-2-21111000000000000000000000000000000000
χ62444-2-2444-24-2-2-21-2-211-2-241-2-211-4-4-2-2411-2-2-2-21111-2422221-2-2111-2-2112-1-1-42222-1-1-1-12-1-1-42222-1-1-1-1000000000000000000000000000000000
χ63444-2-24-4-4-24-2221-2-211-2-241-2-2114i−4i22-4-1-12222-1-1-1-12-4−2i−2i2i2i1-2-211-122-1-1−2iii4i−2i−2i−2i−2iiiii2i−i−i−4i2i2i2i2i−i−i−i−i000000000000000000000000000000000
χ64444-2-24-4-4-24-2221-2-211-2-241-2-211−4i4i22-4-1-12222-1-1-1-12-42i2i−2i−2i1-2-211-122-1-12i−i−i−4i2i2i2i2i−i−i−i−i−2iii4i−2i−2i−2i−2iiiii000000000000000000000000000000000
χ65444-2-2-244-2-2-2-2-2111−1−3i32−1+3i32-2-2-2111−1−3i32−1+3i3244-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32-211-21111−1−3i32−1+3i32−1−3i32−1+3i32-211-21111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000
χ66444-2-2-244-2-2-2-2-2111−1−3i32−1+3i32-2-2-2111−1−3i32−1+3i32-4-4-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2-22222111−1−3i32−1+3i32111−1−3i32−1+3i322-1-12-1-1-1-11+3i321−3i321+3i321−3i322-1-12-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000
χ67444-2-2-244-2-2-2-2-2111−1+3i32−1−3i32-2-2-2111−1+3i32−1−3i3244-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32-211-21111−1+3i32−1−3i32−1+3i32−1−3i32-211-21111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000
χ68444-2-2-244-2-2-2-2-2111−1+3i32−1−3i32-2-2-2111−1+3i32−1−3i32-4-4-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2-22222111−1+3i32−1−3i32111−1+3i32−1−3i322-1-12-1-1-1-11−3i321+3i321−3i321+3i322-1-12-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000
χ69444-2-2-2-4-4-2-2-222111−1−3i32−1+3i32-2-2-2111−1−3i32−1+3i324i−4i222-1-1-1-1-1-11+3i321+3i321−3i321−3i3222−2i−2i2i2i111−1−3i32−1+3i32-1-1-11+3i321−3i32−2iii−2iiiii−ζ7+2ζ112ζ7−ζ11−ζ7+2ζ112ζ7−ζ112i−i−i2i−i−i−i−iζ7−2ζ11−2ζ7+ζ11ζ7−2ζ11−2ζ7+ζ11000000000000000000000000000000000
χ70444-2-2-2-4-4-2-2-222111−1−3i32−1+3i32-2-2-2111−1−3i32−1+3i32−4i4i222-1-1-1-1-1-11+3i321+3i321−3i321−3i32222i2i−2i−2i111−1−3i32−1+3i32-1-1-11+3i321−3i322i−i−i2i−i−i−i−iζ7−2ζ11−2ζ7+ζ11ζ7−2ζ11−2ζ7+ζ11−2iii−2iiiii−ζ7+2ζ112ζ7−ζ11−ζ7+2ζ112ζ7−ζ11000000000000000000000000000000000
χ71444-2-2-2-4-4-2-2-222111−1+3i32−1−3i32-2-2-2111−1+3i32−1−3i324i−4i222-1-1-1-1-1-11−3i321−3i321+3i321+3i3222−2i−2i2i2i111−1+3i32−1−3i32-1-1-11−3i321+3i32−2iii−2iiiii2ζ7−ζ11−ζ7+2ζ112ζ7−ζ11−ζ7+2ζ112i−i−i2i−i−i−i−i−2ζ7+ζ11ζ7−2ζ11−2ζ7+ζ11ζ7−2ζ11000000000000000000000000000000000
χ72444-2-2-2-4-4-2-2-222111−1+3i32−1−3i32-2-2-2111−1+3i32−1−3i32−4i4i222-1-1-1-1-1-11−3i321−3i321+3i321+3i32222i2i−2i−2i111−1+3i32−1−3i32-1-1-11−3i321+3i322i−i−i2i−i−i−i−i−2ζ7+ζ11ζ7−2ζ11−2ζ7+ζ11ζ7−2ζ11−2iii−2iiiii2ζ7−ζ11−ζ7+2ζ112ζ7−ζ11−ζ7+2ζ11000000000000000000000000000000000
χ7344-444-24-44-24444-2-2-2-2-4-424-2-2-2-200-44-244-2-2-2-2-2-2-2-2-420000-42222-42222000000000000000000000000000000000000000000000000000000000
χ7444-444-2-444-24-4-44-2-2-2-2-4-424-2-2-2-2004-42-4-4222222224-20000-422224-2-2-2-2000000000000000000000000000000000000000000000000000000000
χ7544-44-244-4-24444-24-2-2-2-42-4-24-2-2-200-4-24-2-244-2-2-2-2-2-22-400002-42222-4222000000000000000000000000000000000000000000000000000000000
χ7644-44-24-44-244-4-4-24-2-2-2-42-4-24-2-2-20042-422-4-4222222-2400002-4222-24-2-2-2000000000000000000000000000000000000000000000000000000000
χ7744-44-2-24-4-2-2444-2-2111-422-2-211100-4-2-2-2-2-2-211111122000022-1-1-122-1-1-10000003-33-3-330000003-33-3-33000000000000000000000000000000000
χ7844-44-2-24-4-2-2444-2-2111-422-2-211100-4-2-2-2-2-2-211111122000022-1-1-122-1-1-1000000-33-333-3000000-33-333-3000000000000000000000000000000000
χ7944-44-2-2-44-2-24-4-4-2-2111-422-2-2111004222222-1-1-1-1-1-1-2-2000022-1-1-1-2-21110000003i−3i3i−3i−3i3i000000−3i3i−3i3i3i−3i000000000000000000000000000000000
χ8044-44-2-2-44-2-24-4-4-2-2111-422-2-2111004222222-1-1-1-1-1-1-2-2000022-1-1-1-2-2111000000−3i3i−3i3i3i−3i0000003i−3i3i−3i−3i3i000000000000000000000000000000000
χ8144-4-24-24-44-2-2-2-2-21-2112-42-21-2110024-2-2-211-2-21111-42−2i32i3−2i32i32-12-1-12-12-1-10−2i32i30i3−i300i3i3−i3−i30−2i32i30i3−i300i3i3−i3−i3000000000000000000000000000000000
χ8244-4-24-24-44-2-2-2-2-21-2112-42-21-2110024-2-2-211-2-21111-422i3−2i32i3−2i32-12-1-12-12-1-102i3−2i30−i3i300−i3−i3i3i302i3−2i30−i3i300−i3−i3i3i3000000000000000000000000000000000
χ8344-4-24-2-444-2-222-21-2112-42-21-21100-2-4222-1-122-1-1-1-14-223−23−23232-12-1-1-21-211023−230−3300−3−3330−232303−30033−3−3000000000000000000000000000000000
χ8444-4-24-2-444-2-222-21-2112-42-21-21100-2-4222-1-122-1-1-1-14-2−232323−232-12-1-1-21-2110−232303−30033−3−3023−230−3300−3−333000000000000000000000000000000000
χ8544-4-2-244-4-24-2-2-21-2-21122-41-2-211002-2411-2-2-2-211112-4−2i32i3−2i32i3-122-1-1-122-1-10i3−i30−2i32i300i3i3−i3−i30i3−i30−2i32i300i3i3−i3−i3000000000000000000000000000000000
χ8644-4-2-244-4-24-2-2-21-2-21122-41-2-211002-2411-2-2-2-211112-42i3−2i32i3−2i3-122-1-1-122-1-10−i3i302i3−2i300−i3−i3i3i30−i3i302i3−2i300−i3−i3i3i3000000000000000000000000000000000
χ8744-4-2-24-44-24-2221-2-21122-41-2-21100-22-4-1-12222-1-1-1-1-2423−23−2323-122-1-11-2-2110−33023−2300−3−33303−30−23230033−3−3000000000000000000000000000000000
χ8844-4-2-24-44-24-2221-2-21122-41-2-21100-22-4-1-12222-1-1-1-1-24−232323−23-122-1-11-2-21103−30−23230033−3−30−33023−2300−3−333000000000000000000000000000000000
χ8944-4-2-2-24-4-2-2-2-2-2111−1−3i32−1+3i32222111−1−3i32−1+3i32002-2-2111111−1−3i32−1−3i32−1+3i32−1+3i3222−2i32i3−2i32i3-1-1-11+3i321−3i32-1-1-11+3i321−3i320i3−i30i3−i33-3−3−i323−i323+i32−3+i320i3−i30i3−i33-3−3−i323−i323+i32−3+i32000000000000000000000000000000000
χ9044-4-2-2-24-4-2-2-2-2-2111−1−3i32−1+3i32222111−1−3i32−1+3i32002-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32222i3−2i32i3−2i3-1-1-11+3i321−3i32-1-1-11+3i321−3i320−i3i30−i3i3-333+i32−3+i32−3−i323−i320−i3i30−i3i3-333+i32−3+i32−3−i323−i32000000000000000000000000000000000
χ9144-4-2-2-24-4-2-2-2-2-2111−1+3i32−1−3i32222111−1+3i32−1−3i32002-2-2111111−1+3i32−1+3i32−1−3i32−1−3i3222−2i32i3−2i32i3-1-1-11−3i321+3i32-1-1-11−3i321+3i320i3−i30i3−i3-333−i32−3−i32−3+i323+i320i3−i30i3−i3-333−i32−3−i32−3+i323+i32000000000000000000000000000000000
χ9244-4-2-2-24-4-2-2-2-2-2111−1+3i32−1−3i32222111−1+3i32−1−3i32002-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32222i3−2i32i3−2i3-1-1-11−3i321+3i32-1-1-11−3i321+3i320−i3i30−i3i33-3−3+i323+i323−i32−3−i320−i3i30−i3i33-3−3+i323+i323−i32−3−i32000000000000000000000000000000000
χ9344-4-2-2-2-44-2-2-222111−1−3i32−1+3i32222111−1−3i32−1+3i3200-222-1-1-1-1-1-11+3i321+3i321−3i321−3i32-2-223−23−2323-1-1-11+3i321−3i32111−1−3i32−1+3i320−330−333i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ1103−303−3−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000
χ9444-4-2-2-2-44-2-2-222111−1−3i32−1+3i32222111−1−3i32−1+3i3200-222-1-1-1-1-1-11+3i321+3i321−3i321−3i32-2-2−232323−23-1-1-11+3i321−3i32111−1−3i32−1+3i3203−303−3−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ110−330−333i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000
χ9544-4-2-2-2-44-2-2-222111−1+3i32−1−3i32222111−1+3i32−1−3i3200-222-1-1-1-1-1-11−3i321−3i321+3i321+3i32-2-223−23−2323-1-1-11−3i321+3i32111−1+3i32−1−3i320−330−33−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ1103−303−33i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000
χ9644-4-2-2-2-44-2-2-222111−1+3i32−1−3i32222111−1+3i32−1−3i3200-222-1-1-1-1-1-11−3i321−3i321+3i321+3i32-2-2−232323−23-1-1-11−3i321+3i32111−1+3i32−1−3i3203−303−33i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ110−330−33−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000
χ974-4044400-4-4-40044444000-4-4-4-4-400000000000000000000000000000000000000000000000000000004-40004-400000000000000000000000000
χ984-4044400-4-4-40044444000-4-4-4-4-40000000000000000000000000000000000000000000000000000000-44000-4400000000000000000000000000
χ994-40-24400-4-4223−23-2-24-2-200022-4220000023−2323−230023−2323−2300000000000000000000000000000000000000004-4000-2223−23000000000000000000000000
χ1004-40-24400-4-4223−23-2-24-2-200022-4220000023−2323−230023−2323−230000000000000000000000000000000000000000-440002-2−2323000000000000000000000000
χ1014-40-24400-4-42−2323-2-24-2-200022-42200000−2323−232300−2323−232300000000000000000000000000000000000000004-4000-22−2323000000000000000000000000
χ1024-40-24400-4-42−2323-2-24-2-200022-42200000−2323−232300−2323−23230000000000000000000000000000000000000000-440002-223−23000000000000000000000000
χ1038-8088-400-84-8008-4-4-4-4000-844440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-808-48004-8-800-48-4-4-40004-84440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-808-4-40044-800-4-422200044-2-2-20000000006i−6i6i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-808-4-40044-800-4-422200044-2-2-2000000000−6i6i−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-80-48-400-84443−43-42-4220004-24-2-20000043−43−232300−2323−23230000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-80-48-400-844−4343-42-4220004-24-2-200000−434323−230023−2323−230000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-80-4-48004-8443−432-4-422000-244-2-200000−232343−4300−2323−23230000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-80-4-48004-84−43432-4-422000-244-2-20000023−23−43430023−2323−230000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-80-4-4-40044443−43222−1−3i3−1+3i3000-2-2-21+3i31−3i300000−2323−23236i−6i2ζ7+4ζ11−2ζ7−4ζ11−4ζ7−2ζ114ζ7+2ζ110000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-80-4-4-40044443−43222−1+3i3−1−3i3000-2-2-21−3i31+3i300000−2323−2323−6i6i−4ζ7−2ζ114ζ7+2ζ112ζ7+4ζ11−2ζ7−4ζ110000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-80-4-4-400444−4343222−1−3i3−1+3i3000-2-2-21+3i31−3i30000023−2323−23−6i6i−2ζ7−4ζ112ζ7+4ζ114ζ7+2ζ11−4ζ7−2ζ110000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-80-4-4-400444−4343222−1+3i3−1−3i3000-2-2-21−3i31+3i30000023−2323−236i−6i4ζ7+2ζ11−4ζ7−2ζ11−2ζ7−4ζ112ζ7+4ζ110000000000000000000000000000000000000000000000000000000000000000000000000

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