Finite Group Databasebeta

← Group #10592228

Character table — Group #10592228

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222444444444444444412121212121212121111222222222222224444444444444444121212121212121211112222222222222244444444444444441212121212121212
order122222344446661212121266888812122424242424242424222244443666663121212126661212121266242424241212242424242424242466661212121236666631212121266612121212662424242412122424242424242424666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-111-1-111111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-111111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-111111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111-1-111-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-111-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-111-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111
χ71111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111
χ81111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-11111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-11111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1
χ911-1-11-1111-1-1-1-1111-1-11-1i−ii−i1-1ii−i−iii−i−i1-11-1i−ii−i11-1-11-1111-1-1-1-1111-1-11-1i−ii−i1-1ii−i−iii−i−i1-11-1i−ii−i11-1-11-1111-1-1-1-1111-1-11-1i−ii−i1-1ii−i−iii−i−i1-11-1i−ii−i
χ1011-1-11-1111-1-1-1-1111-1-11-1i−ii−i1-1ii−i−iii−i−i-11-11−ii−ii11-1-11-1111-1-1-1-1111-1-11-1i−ii−i1-1ii−i−iii−i−i-11-11−ii−ii11-1-11-1111-1-1-1-1111-1-11-1i−ii−i1-1ii−i−iii−i−i-11-11−ii−ii
χ1111-1-11-1111-1-1-1-1111-1-11-1−ii−ii1-1−i−iii−i−iii1-11-1−ii−ii11-1-11-1111-1-1-1-1111-1-11-1−ii−ii1-1−i−iii−i−iii1-11-1−ii−ii11-1-11-1111-1-1-1-1111-1-11-1−ii−ii1-1−i−iii−i−iii1-11-1−ii−ii
χ1211-1-11-1111-1-1-1-1111-1-11-1−ii−ii1-1−i−iii−i−iii-11-11i−ii−i11-1-11-1111-1-1-1-1111-1-11-1−ii−ii1-1−i−iii−i−iii-11-11i−ii−i11-1-11-1111-1-1-1-1111-1-11-1−ii−ii1-1−i−iii−i−iii-11-11i−ii−i
χ1311-1-1-1111-11-1-1-1111-1-1-11i−i−ii-11ii−i−i−i−iii1-1-11i−i−ii11-1-1-1111-11-1-1-1111-1-1-11i−i−ii-11ii−i−i−i−iii1-1-11i−i−ii11-1-1-1111-11-1-1-1111-1-1-11i−i−ii-11ii−i−i−i−iii1-1-11i−i−ii
χ1411-1-1-1111-11-1-1-1111-1-1-11i−i−ii-11ii−i−i−i−iii-111-1−iii−i11-1-1-1111-11-1-1-1111-1-1-11i−i−ii-11ii−i−i−i−iii-111-1−iii−i11-1-1-1111-11-1-1-1111-1-1-11i−i−ii-11ii−i−i−i−iii-111-1−iii−i
χ1511-1-1-1111-11-1-1-1111-1-1-11−iii−i-11−i−iiiii−i−i1-1-11−iii−i11-1-1-1111-11-1-1-1111-1-1-11−iii−i-11−i−iiiii−i−i1-1-11−iii−i11-1-1-1111-11-1-1-1111-1-1-11−iii−i-11−i−iiiii−i−i1-1-11−iii−i
χ1611-1-1-1111-11-1-1-1111-1-1-11−iii−i-11−i−iiiii−i−i-111-1i−i−ii11-1-1-1111-11-1-1-1111-1-1-11−iii−i-11−i−iiiii−i−i-111-1i−i−ii11-1-1-1111-11-1-1-1111-1-1-11−iii−i-11−i−iiiii−i−i-111-1i−i−ii
χ172222222-2-2-2-2222-2-2-2-2220000-2-200000000000000002222222-2-2-2-2222-2-2-2-2220000-2-200000000000000002222222-2-2-2-2222-2-2-2-2220000-2-20000000000000000
χ18222222-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-100000000222222-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-100000000222222-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-100000000
χ19222222-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-11111111100000000222222-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-11111111100000000222222-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-11111111100000000
χ20222222-1-2-2-2-2-1-1-11111-1-10000113−33−33−33−300000000222222-1-2-2-2-2-1-1-11111-1-10000113−33−33−33−300000000222222-1-2-2-2-2-1-1-11111-1-10000113−33−33−33−300000000
χ21222222-1-2-2-2-2-1-1-11111-1-1000011−33−33−33−3300000000222222-1-2-2-2-2-1-1-11111-1-1000011−33−33−33−3300000000222222-1-2-2-2-2-1-1-11111-1-1000011−33−33−33−3300000000
χ222222-2-22-222-2222-2-2-2-2-2-200002200000000000000002222-2-22-222-2222-2-2-2-2-2-200002200000000000000002222-2-22-222-2222-2-2-2-2-2-20000220000000000000000
χ232222-2-2-12-2-22-1-1-1-1-1-1-11122-2-211-1-1-1-11111000000002222-2-2-12-2-22-1-1-1-1-1-1-11122-2-211-1-1-1-11111000000002222-2-2-12-2-22-1-1-1-1-1-1-11122-2-211-1-1-1-1111100000000
χ242222-2-2-12-2-22-1-1-1-1-1-1-111-2-222111111-1-1-1-1000000002222-2-2-12-2-22-1-1-1-1-1-1-111-2-222111111-1-1-1-1000000002222-2-2-12-2-22-1-1-1-1-1-1-111-2-222111111-1-1-1-100000000
χ252222-2-2-1-222-2-1-1-11111110000-1-13−33−3−33−33000000002222-2-2-1-222-2-1-1-11111110000-1-13−33−3−33−33000000002222-2-2-1-222-2-1-1-11111110000-1-13−33−3−33−3300000000
χ262222-2-2-1-222-2-1-1-11111110000-1-1−33−333−33−3000000002222-2-2-1-222-2-1-1-11111110000-1-1−33−333−33−3000000002222-2-2-1-222-2-1-1-11111110000-1-1−33−333−33−300000000
χ2722-2-22-22-2-222-2-22-2-2222-20000-22000000000000000022-2-22-22-2-222-2-22-2-2222-20000-22000000000000000022-2-22-22-2-222-2-22-2-2222-20000-220000000000000000
χ2822-2-22-2-122-2-211-1-1-111-112i−2i2i−2i-11−i−iii−i−iii0000000022-2-22-2-122-2-211-1-1-111-112i−2i2i−2i-11−i−iii−i−iii0000000022-2-22-2-122-2-211-1-1-111-112i−2i2i−2i-11−i−iii−i−iii00000000
χ2922-2-22-2-122-2-211-1-1-111-11−2i2i−2i2i-11ii−i−iii−i−i0000000022-2-22-2-122-2-211-1-1-111-11−2i2i−2i2i-11ii−i−iii−i−i0000000022-2-22-2-122-2-211-1-1-111-11−2i2i−2i2i-11ii−i−iii−i−i00000000
χ3022-2-22-2-1-2-22211-111-1-1-1100001-1−i3i3i3−i3−i3i3i3−i30000000022-2-22-2-1-2-22211-111-1-1-1100001-1−i3i3i3−i3−i3i3i3−i30000000022-2-22-2-1-2-22211-111-1-1-1100001-1−i3i3i3−i3−i3i3i3−i300000000
χ3122-2-22-2-1-2-22211-111-1-1-1100001-1i3−i3−i3i3i3−i3−i3i30000000022-2-22-2-1-2-22211-111-1-1-1100001-1i3−i3−i3i3i3−i3−i3i30000000022-2-22-2-1-2-22211-111-1-1-1100001-1i3−i3−i3i3i3−i3−i3i300000000
χ3222-2-2-222-22-22-2-22-2-222-2200002-2000000000000000022-2-2-222-22-22-2-22-2-222-2200002-2000000000000000022-2-2-222-22-22-2-22-2-222-2200002-20000000000000000
χ3322-2-2-22-12-22-211-1-1-1111-12i−2i−2i2i1-1−i−iiiii−i−i0000000022-2-2-22-12-22-211-1-1-1111-12i−2i−2i2i1-1−i−iiiii−i−i0000000022-2-2-22-12-22-211-1-1-1111-12i−2i−2i2i1-1−i−iiiii−i−i00000000
χ3422-2-2-22-12-22-211-1-1-1111-1−2i2i2i−2i1-1ii−i−i−i−iii0000000022-2-2-22-12-22-211-1-1-1111-1−2i2i2i−2i1-1ii−i−i−i−iii0000000022-2-2-22-12-22-211-1-1-1111-1−2i2i2i−2i1-1ii−i−i−i−iii00000000
χ3522-2-2-22-1-22-2211-111-1-11-10000-11−i3i3i3−i3i3−i3−i3i30000000022-2-2-22-1-22-2211-111-1-11-10000-11−i3i3i3−i3i3−i3−i3i30000000022-2-2-22-1-22-2211-111-1-11-10000-11−i3i3i3−i3i3−i3−i3i300000000
χ3622-2-2-22-1-22-2211-111-1-11-10000-11i3−i3−i3i3−i3i3i3−i30000000022-2-2-22-1-22-2211-111-1-11-10000-11i3−i3−i3i3−i3i3i3−i30000000022-2-2-22-1-22-2211-111-1-11-10000-11i3−i3−i3i3−i3i3i3−i300000000
χ374-44-400400004-4-400000000000000000000000000004-44-400400004-4-400000000000000000000000000004-44-400400004-4-40000000000000000000000000000
χ384-44-400-20000-22223−2323−230000000000000000000000004-44-400-20000-22223−2323−230000000000000000000000004-44-400-20000-22223−2323−23000000000000000000000000
χ394-44-400-20000-222−2323−23230000000000000000000000004-44-400-20000-222−2323−23230000000000000000000000004-44-400-20000-222−2323−2323000000000000000000000000
χ404-4-440040000-44-400000000000000000000000000004-4-440040000-44-400000000000000000000000000004-4-440040000-44-40000000000000000000000000000
χ414-4-4400-200002-2223−23−23230000000000000000000000004-4-4400-200002-2223−23−23230000000000000000000000004-4-4400-200002-2223−23−2323000000000000000000000000
χ424-4-4400-200002-22−232323−230000000000000000000000004-4-4400-200002-22−232323−230000000000000000000000004-4-4400-200002-22−232323−23000000000000000000000000
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
χ441111111111111111111111111111111111-1-1-1-1-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+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−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+i321+i321+i321+i321+i32
χ4511111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ4611111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111−1+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+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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ471111-1-111-1-111111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ481111-1-111-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ491111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ501111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ5111-1-11-1111-1-1-1-1111-1-11-1i−ii−i1-1ii−i−iii−i−i1-11-1i−ii−i−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11
χ5211-1-11-1111-1-1-1-1111-1-11-1i−ii−i1-1ii−i−iii−i−i-11-11−ii−ii−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11
χ5311-1-11-1111-1-1-1-1111-1-11-1−ii−ii1-1−i−iii−i−iii1-11-1−ii−ii−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11
χ5411-1-11-1111-1-1-1-1111-1-11-1−ii−ii1-1−i−iii−i−iii-11-11i−ii−i−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11
χ5511-1-1-1111-11-1-1-1111-1-1-11i−i−ii-11ii−i−i−i−iii1-1-11i−i−ii−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11
χ5611-1-1-1111-11-1-1-1111-1-1-11i−i−ii-11ii−i−i−i−iii-111-1−iii−i−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11
χ5711-1-1-1111-11-1-1-1111-1-1-11−iii−i-11−i−iiiii−i−i1-1-11−iii−i−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11
χ5811-1-1-1111-11-1-1-1111-1-1-11−iii−i-11−i−iiiii−i−i-111-1i−i−ii−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ11
χ592222222-2-2-2-2222-2-2-2-2220000-2-20000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i300001−i31−i30000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i300001+i31+i30000000000000000
χ60222222-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000
χ61222222-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-11111111100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000
χ62222222-1-2-2-2-2-1-1-11111-1-10000113−33−33−33−300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i320000−1+i32−1+i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ1100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i320000−1−i32−1−i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ1100000000
χ63222222-1-2-2-2-2-1-1-11111-1-1000011−33−33−33−3300000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i320000−1+i32−1+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ1100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i320000−1−i32−1−i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ1100000000
χ642222-2-22-222-2222-2-2-2-2-2-20000220000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i30000−1+i3−1+i30000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i30000−1−i3−1−i30000000000000000
χ652222-2-2-12-2-22-1-1-1-1-1-1-11122-2-211-1-1-1-1111100000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i31−i31−i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i3−1+i31−i31−i3−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i31+i31+i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i3−1−i31+i31+i3−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000
χ662222-2-2-12-2-22-1-1-1-1-1-1-111-2-222111111-1-1-1-100000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i31−i31−i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i31+i31+i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200000000
χ672222-2-2-1-222-2-1-1-11111110000-1-13−33−3−33−3300000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i3−1+i3−1+i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200001−i321−i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ1100000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i3−1−i3−1−i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200001+i321+i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ1100000000
χ682222-2-2-1-222-2-1-1-11111110000-1-1−33−333−33−300000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i321−i3−1+i3−1+i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200001−i321−i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ1100000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i321+i3−1−i3−1−i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200001+i321+i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ1100000000
χ6922-2-22-22-2-222-2-22-2-2222-20000-220000000000000000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i300001−i3−1+i30000000000000000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i300001+i3−1−i30000000000000000
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χ1012222222-2-2-2-2222-2-2-2-2220000-2-20000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i300001+i31+i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i300001−i31−i30000000000000000
χ102222222-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000
χ103222222-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-11111111100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000
χ104222222-1-2-2-2-2-1-1-11111-1-10000113−33−33−33−300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i320000−1−i32−1−i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ1100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i320000−1+i32−1+i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ1100000000
χ105222222-1-2-2-2-2-1-1-11111-1-1000011−33−33−33−3300000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i320000−1−i32−1−i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ1100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i320000−1+i32−1+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ1100000000
χ1062222-2-22-222-2222-2-2-2-2-2-20000220000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i30000−1−i3−1−i30000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i30000−1+i3−1+i30000000000000000
χ1072222-2-2-12-2-22-1-1-1-1-1-1-11122-2-211-1-1-1-1111100000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i31+i31+i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i3−1−i31+i31+i3−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i31−i31−i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i3−1+i31−i31−i3−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000
χ1082222-2-2-12-2-22-1-1-1-1-1-1-111-2-222111111-1-1-1-100000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i32−1−i31+i31+i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i32−1+i31−i31−i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200000000
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χ1244-4-440040000-44-40000000000000000000000000000−2−2i32+2i32+2i3−2−2i300−2−2i300002+2i3−2−2i32+2i30000000000000000000000000000−2+2i32−2i32−2i3−2+2i300−2+2i300002−2i3−2+2i32−2i30000000000000000000000000000
χ1254-4-4400-200002-2223−23−2323000000000000000000000000−2−2i32+2i32+2i3−2−2i3001+i30000−1−i31+i3−1−i34ζ7+2ζ11−4ζ7−2ζ11−4ζ7−2ζ114ζ7+2ζ11000000000000000000000000−2+2i32−2i32−2i3−2+2i3001−i30000−1+i31−i3−1+i3−2ζ7−4ζ112ζ7+4ζ112ζ7+4ζ11−2ζ7−4ζ11000000000000000000000000
χ1264-4-4400-200002-22−232323−23000000000000000000000000−2−2i32+2i32+2i3−2−2i3001+i30000−1−i31+i3−1−i3−4ζ7−2ζ114ζ7+2ζ114ζ7+2ζ11−4ζ7−2ζ11000000000000000000000000−2+2i32−2i32−2i3−2+2i3001−i30000−1+i31−i3−1+i32ζ7+4ζ11−2ζ7−4ζ11−2ζ7−4ζ112ζ7+4ζ11000000000000000000000000

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