Finite Group Databasebeta

← Group #13178316

Character table — Group #13178316

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222222244444444444444444444444444444888888888888888888888888888888888888181818181818363636363636363636363636363636363636363636727272727272
order1222333666666666333334446666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212122244444444444446612121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-111-1-11-1-11-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-111-1-11-1-1-1-1-111-1-111-1-1-1-1-111-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1111-1-1-1-111-1-1-1-111-1-1-1-111
χ51111111111111111111111-1-111111111111111111-1-1-1-11-11-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11-1-11-1-1111111-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-111111111111111111-1-1-1-11-11-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11-11111-1-1-1-111-1-1-1-1-11-1111
χ71111111111111111111111-1-111111111111111111-1-1-1-11-11-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-1-111-1-111-1-1-1-111-1-11-11-111
χ81111111111111111111111-1-111111111111111111-1-1-1-11-11-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1111-1-1-1-1-1-11111111111-1-1-1-1
χ9111111111111111111111-11-1111111111111111-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111-11-1-1-1-11-111111111-1-1-1-11-1-1-11-1
χ10111111111111111111111-11-1111111111111111-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-111-1111-1-1-1-1-1-1-1-111111-1-11
χ11111111111111111111111-11-1111111111111111-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-11-11-1-111-1-1111111-1-1-11-11
χ12111111111111111111111-11-1111111111111111-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1111-11-1-1-1-1-111-1-111-1-1-11111-1
χ13111111111111111111111-1-11111111111111111-1-1-1-111-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-11111111-1-111-1-1-11-1-1-11
χ14111111111111111111111-1-11111111111111111-1-1-1-111-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-11-111-111-1-1-1-1111111-1-11-11-1
χ15111111111111111111111-1-11111111111111111-1-1-1-111-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11-1-11-1111-1-1-111-1-1-1-1-1-11111-111-1
χ16111111111111111111111-1-11111111111111111-1-1-1-111-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-11-1-1-1-11111-1-1-1-11-111-11
χ17222222-1-1222-122-122-1-1-1-12222-1-1-1-12-1-1-1-12-1-1-1-12222-1-1-122-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1220000200220000-1-1000000-1-100-100-100
χ18222222-1-1222-122-122-1-1-1-12222-1-1-1-12-1-1-1-12-1-1-1-12222-1-1-122-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-20000-200-2-20000110000001100100100
χ19222222-1-1222-122-122-1-1-1-12-2-22-1-1-1-12-1-1-1-12-1-1-1-122-2-211-1-221-2-222-1-1-1-1-1-1-1-1-2-211111111-2-211111111220000-2002-20000-1-10000001100100-100
χ20222222-1-1222-122-122-1-1-1-12-2-22-1-1-1-12-1-1-1-12-1-1-1-122-2-211-1-221-2-222-1-1-1-1-1-1-1-1-2-211111111-2-211111111-2-20000200-22000011000000-1-100-100100
χ21222222-1-1222-122-122-1-1-1-1-22-22-1-1-1-12-1-1-1-12-1-1-1-1-2-222111-2-2-12-2-2-21111111122-1-1-1-1-1-1-1-1-2-211111111220000200-2-20000-1-10000001100-100100
χ22222222-1-1222-122-122-1-1-1-1-22-22-1-1-1-12-1-1-1-12-1-1-1-1-2-222111-2-2-12-2-2-21111111122-1-1-1-1-1-1-1-1-2-211111111-2-20000-20022000011000000-1-100100-100
χ23222222-1-1222-122-122-1-1-1-1-2-222-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-2-1-112-21-22-2-211111111-2-21111111122-1-1-1-1-1-1-1-1220000-200-220000-1-1000000-1-100100100
χ24222222-1-1222-122-122-1-1-1-1-2-222-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-2-1-112-21-22-2-211111111-2-21111111122-1-1-1-1-1-1-1-1-2-200002002-20000110000001100-100-100
χ2522222-12222-12-1-122-12-1-1-1222-12-1-1-1-12-1-1-1-12-1-1-122-1-1222-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100220002200200000-1-100-1-100000-1-1000
χ2622222-12222-12-1-122-12-1-1-1222-12-1-1-1-12-1-1-1-12-1-1-122-1-1222-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-2000-2-200-2000001100110000011000
χ2722222-12222-12-1-122-12-1-1-12-2-2-12-1-1-1-12-1-1-1-12-1-1-12211-2-221-1-2-2-2-1-122-1-1-1-1-1-111-2-211111111-2-211111100220002-200-200000-1-10011000001-1000
χ2822222-12222-12-1-122-12-1-1-12-2-2-12-1-1-1-12-1-1-1-12-1-1-12211-2-221-1-2-2-2-1-122-1-1-1-1-1-111-2-211111111-2-211111100-2-2000-22002000001100-1-100000-11000
χ2922222-12222-12-1-122-12-1-1-1-22-2-12-1-1-1-12-1-1-1-12-1-1-1-2-2-1-1-2-2-21122-211-2-2111111-1-122-1-1-1-1-1-111-2-21111110022000-2200-200000-1-100-1-10000011000
χ3022222-12222-12-1-122-12-1-1-1-22-2-12-1-1-1-12-1-1-1-12-1-1-1-2-2-1-1-2-2-21122-211-2-2111111-1-122-1-1-1-1-1-111-2-211111100-2-20002-20020000011001100000-1-1000
χ3122222-12222-12-1-122-12-1-1-1-2-22-12-1-1-1-12-1-1-1-12-1-1-1-2-21122-2-11-2-2211-2-211111111-2-2111111-1-122-1-1-1-1-1-10022000-2-200200000-1-1001100000-11000
χ3222222-12222-12-1-122-12-1-1-1-2-22-12-1-1-1-12-1-1-1-12-1-1-1-2-21122-2-11-2-2211-2-211111111-2-2111111-1-122-1-1-1-1-1-100-2-20002200-2000001100-1-1000001-1000
χ332222-1222-1-122222-1-1-12-1-1222-1-12-1-1-1-12-1-1-1-12-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000220000002220000-1-10000-1-10000-1-1
χ342222-1222-1-122222-1-1-12-1-1222-1-12-1-1-1-12-1-1-1-12-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000-2-2000000-2-2-2000011000011000011
χ352222-1222-1-122222-1-1-12-1-12-2-2-1-12-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-22-22-211-1-1-1-122-1-1-1-11111-2-211111111-2-211110000220000002-2-20000-1-10000-1-1000011
χ362222-1222-1-122222-1-1-12-1-12-2-2-1-12-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-22-22-211-1-1-1-122-1-1-1-11111-2-211111111-2-211110000-2-2000000-2220000110000110000-1-1
χ372222-1222-1-122222-1-1-12-1-1-22-2-1-12-1-1-1-12-1-1-1-12-1-11122-2-2-2-2-22-111111-2-21111-1-1-1-122-1-1-1-11111-2-21111000022000000-22-20000-1-10000110000-11
χ382222-1222-1-122222-1-1-12-1-1-22-2-1-12-1-1-1-12-1-1-1-12-1-11122-2-2-2-2-22-111111-2-21111-1-1-1-122-1-1-1-11111-2-211110000-2-20000002-220000110000-1-100001-1
χ392222-1222-1-122222-1-1-12-1-1-2-22-1-12-1-1-1-12-1-1-1-12-1-111-2-222-22-2-21-11111-2-211111111-2-21111-1-1-1-122-1-1-1-1000022000000-2-220000-1-100001100001-1
χ402222-1222-1-122222-1-1-12-1-1-2-22-1-12-1-1-1-12-1-1-1-12-1-111-2-222-22-2-21-11111-2-211111111-2-21111-1-1-1-122-1-1-1-10000-2-200000022-20000110000-1-10000-11
χ4122-2-22222-222-2-2-2-2-22222200022222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000002-22-22-20000000002-22-22-2000000000000
χ4222-2-22222-222-2-2-2-2-22222200022222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000002-2-22-220000000002-2-22-22000000000000
χ4322-2-22222-222-2-2-2-2-22222200022222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000-222-2-22000000000-222-2-22000000000000
χ4422-2-22222-222-2-2-2-2-22222200022222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000-22-222-2000000000-22-222-2000000000000
χ4544444-2-2-244-2-2-2-2-24-2-2111444-2-2111-2-2111-2-211144-2-2-2-2-2-2-2-244-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000
χ4644444-2-2-244-2-2-2-2-24-2-21114-4-4-2-2111-2-2111-2-2111442222-22-22-4-4-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000
χ4744444-2-2-244-2-2-2-2-24-2-2111-44-4-2-2111-2-2111-2-2111-4-4-2-222222-24-42222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000
χ4844444-2-2-244-2-2-2-2-24-2-2111-4-44-2-2111-2-2111-2-2111-4-422-2-22-222-442222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000
χ494444-24-2-2-2-24-244-2-2-21-211444-21-211-21-211-21-211-2-244-2-2-244-2-2-2-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000
χ504444-24-2-2-2-24-244-2-2-21-2114-4-4-21-211-21-211-21-211-2-2-4-422-2-44222-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000
χ514444-24-2-2-2-24-244-2-2-21-211-44-4-21-211-21-211-21-2112244222-4-4-2-2222-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000
χ524444-24-2-2-2-24-244-2-2-21-211-4-44-21-211-21-211-21-21122-4-4-2-224-422-222-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000
χ534444-2-244-2-2-24-2-24-21-2-2114441-2-2111-2-2111-2-211-2-2-2-2444-2-24-2-211-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000
χ544444-2-244-2-2-24-2-24-21-2-2114-4-41-2-2111-2-2111-2-211-2-222-4-442-2-42211-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000
χ554444-2-244-2-2-24-2-24-21-2-211-44-41-2-2111-2-2111-2-21122-2-2-4-4-4224-22-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000
χ564444-2-244-2-2-24-2-24-21-2-211-4-441-2-2111-2-2111-2-211222244-4-22-42-2-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000
χ574444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32444111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32000000000000000000000000000000000
χ584444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i324-4-4111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i32-2-22222-22-2222111111−1−3i32−1−3i32−1+3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32000000000000000000000000000000000
χ594444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-44-4111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i3222-2-222222-2-22-1-1-1-1-1-11+3i321+3i321−3i321−3i32111111−1−3i32−1−3i32−1+3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32000000000000000000000000000000000
χ604444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-4-44111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i322222-2-22-2222-2-1-1-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32111111−1−3i32−1−3i32−1+3i32−1+3i32000000000000000000000000000000000
χ614444-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32444111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32000000000000000000000000000000000
χ624444-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i324-4-4111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i32-2-22222-22-2222111111−1+3i32−1+3i32−1−3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32000000000000000000000000000000000
χ634444-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-44-4111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i3222-2-222222-2-22-1-1-1-1-1-11−3i321−3i321+3i321+3i32111111−1+3i32−1+3i32−1−3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32000000000000000000000000000000000
χ644444-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-4-44111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i322222-2-22-2222-2-1-1-1-1-1-11−3i321−3i321+3i321+3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32111111−1+3i32−1+3i32−1−3i32−1−3i32000000000000000000000000000000000
χ6544-4-444-2-2-4442-4-42-44-2-2-2-20004-2-2-2-2-42222-422220000000000000000000000000000000000000000004-40000000000000-220000000000000000
χ6644-4-444-2-2-4442-4-42-44-2-2-2-20004-2-2-2-2-42222-42222000000000000000000000000000000000000000000-4400000000000002-20000000000000000
χ6744-4-44-244-44-2-422-4-4-24-2-2-2000-24-2-2-22-42222-4222000000000000000000000000000000000000000000004-40000000000000-2200000000000000
χ6844-4-44-244-44-2-422-4-4-24-2-2-2000-24-2-2-22-42222-422200000000000000000000000000000000000000000000-4400000000000002-200000000000000
χ6944-4-4-24442-24-4-4-4-42-2-24-2-2000-2-24-2-222-42222-42200000000000000000000000000000000000000000000004-40000000000000-22000000000000
χ7044-4-4-24442-24-4-4-4-42-2-24-2-2000-2-24-2-222-42222-4220000000000000000000000000000000000000000000000-4400000000000002-2000000000000
χ714-44-4444-44-4-44-44-4-444444000-4-4-4-4-444444-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000
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χ734-44-444-224-4-4-2-442-44-2-2-2-2000-422224-2-2-2-2-422220000−23230000000000000000000000000000−2323−2323−2323−2323000000000000000000000000000000000
χ744-44-44-24-44-4242-2-4-4-24-2-2-20002-4222-24-2-2-22-42220023−2300000000000000000023−230023−2323−2323−230000000000000000000000000000000000000000000
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χ764-44-44-2-224-42-22-22-4-2-211100022-1-1-1-2-211122-1-1-10023−2323−2300000000003-33-33-323−2300−33−33−330023−23−33−33−33000000000000000000000000000000000
χ774-44-44-2-224-42-22-22-4-2-211100022-1-1-1-2-211122-1-1-10023−23−23230000000000-33-33-3323−2300−33−33−3300−23233−33−33−3000000000000000000000000000000000
χ784-44-44-2-224-42-22-22-4-2-211100022-1-1-1-2-211122-1-1-100−232323−230000000000-33-33-33−2323003−33−33−30023−23−33−33−33000000000000000000000000000000000
χ794-44-44-2-224-42-22-22-4-2-211100022-1-1-1-2-211122-1-1-100−2323−232300000000003-33-33-3−2323003−33−33−300−23233−33−33−3000000000000000000000000000000000
χ804-44-4-244-4-22-44-44-42-2-24-2-200022-422-2-24-2-222-422−2i32i30000000000−2i32i3−2i32i300−2i32i32i3−2i300000000000000000000000000000000000000000000000000000
χ814-44-4-244-4-22-44-44-42-2-24-2-200022-422-2-24-2-222-4222i3−2i300000000002i3−2i32i3−2i3002i3−2i3−2i32i300000000000000000000000000000000000000000000000000000
χ824-44-4-24-22-22-4-2-4422-21-2110002-12-1-1-21-2112-12-1-1−2i32i30023−23000000−2i32i3i3−i300i3−i3−i3i3003i−3i003i−3i−3i3i00−3323−23−33−33000000000000000000000000000000000
χ834-44-4-24-22-22-4-2-4422-21-2110002-12-1-1-21-2112-12-1-1−2i32i300−2323000000−2i32i3i3−i300i3−i3−i3i300−3i3i00−3i3i3i−3i003−3−23233−33−3000000000000000000000000000000000
χ844-44-4-24-22-22-4-2-4422-21-2110002-12-1-1-21-2112-12-1-12i3−2i30023−230000002i3−2i3−i3i300−i3i3i3−i300−3i3i00−3i3i3i−3i00−3323−23−33−33000000000000000000000000000000000
χ854-44-4-24-22-22-4-2-4422-21-2110002-12-1-1-21-2112-12-1-12i3−2i300−23230000002i3−2i3−i3i300−i3i3i3−i3003i−3i003i−3i−3i3i003−3−23233−33−3000000000000000000000000000000000
χ864-44-4-2-24-4-22242-2-421-2-211000-122-1-11-2-211-122-1-1−2i32i323−2300000000i3−i3−2i32i300i3−i3−i3i3−330023−23−33−333i−3i00003i−3i−3i3i000000000000000000000000000000000
χ874-44-4-2-24-4-22242-2-421-2-211000-122-1-11-2-211-122-1-1−2i32i3−232300000000i3−i3−2i32i300i3−i3−i3i33−300−23233−33−3−3i3i0000−3i3i3i−3i000000000000000000000000000000000
χ884-44-4-2-24-4-22242-2-421-2-211000-122-1-11-2-211-122-1-12i3−2i323−2300000000−i3i32i3−2i300−i3i3i3−i3−330023−23−33−33−3i3i0000−3i3i3i−3i000000000000000000000000000000000
χ894-44-4-2-24-4-22242-2-421-2-211000-122-1-11-2-211-122-1-12i3−2i3−232300000000−i3i32i3−2i300−i3i3i3−i33−300−23233−33−33i−3i00003i−3i−3i3i000000000000000000000000000000000
χ904-44-4-2-2-22-222-22-222111−1−3i32−1+3i32000-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32−2i32i323−2323−23000000i3−i3i3−i33-3−3−i323+i32−3+i323−i32−333i−3i−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ113i−3i−33−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000000000000000000
χ914-44-4-2-2-22-222-22-222111−1−3i32−1+3i32000-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32−2i32i3−2323−2323000000i3−i3i3−i33-3−3−i323+i32−3+i323−i323−3−3i3i3−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11−3i3i3−33−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000000000000000000000000000
χ924-44-4-2-2-22-222-22-222111−1−3i32−1+3i32000-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i322i3−2i323−23−2323000000−i3i3−i3i3-333+i32−3−i323−i32−3+i32−333i−3i−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−3i3i3−33−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000000000000000000000000000
χ934-44-4-2-2-22-222-22-222111−1−3i32−1+3i32000-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i322i3−2i3−232323−23000000−i3i3−i3i3-333+i32−3−i323−i32−3+i323−3−3i3i3−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ113i−3i−33−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000000000000000000
χ944-44-4-2-2-22-222-22-222111−1+3i32−1−3i32000-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32−2i32i323−23−2323000000i3−i3i3−i3-333−i32−3+i323+i32−3−i32−33−3i3i−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ113i−3i3−33−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000000000000000000000
χ954-44-4-2-2-22-222-22-222111−1+3i32−1−3i32000-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32−2i32i3−232323−23000000i3−i3i3−i3-333−i32−3+i323+i32−3−i323−33i−3i3−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−3i3i−33−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000000000000000000000
χ964-44-4-2-2-22-222-22-222111−1+3i32−1−3i32000-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i322i3−2i323−2323−23000000−i3i3−i3i33-3−3+i323−i32−3−i323+i32−33−3i3i−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11−3i3i−33−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000000000000000000000
χ974-44-4-2-2-22-222-22-222111−1+3i32−1−3i32000-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i322i3−2i3−2323−2323000000−i3i3−i3i33-3−3+i323−i32−3−i323+i323−33i−3i3−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ113i−3i3−33−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000000000000000000000
χ984-4-44444-4-4-4-4-44-44444444000-4-4-4-4-4-4-4-4-4-444444000000000000000000000000000000000000000000000000000000000000000000000000000
χ994-4-4444-22-4-4-424-4-244-2-2-2-2000-42222-422224-2-2-2-200000000000000000000000000000000000000000000000000000000000000000−2i32i300000000
χ1004-4-4444-22-4-4-424-4-244-2-2-2-2000-42222-422224-2-2-2-2000000000000000000000000000000000000000000000000000000000000000002i3−2i300000000
χ1014-4-444-24-4-4-42-4-2244-24-2-2-20002-42222-4222-24-2-2-200000000000000000000000000000000000000000000000000000000000000023−230000000000
χ1024-4-444-24-4-4-42-4-2244-24-2-2-20002-42222-4222-24-2-2-2000000000000000000000000000000000000000000000000000000000000000−23230000000000
χ1034-4-44-244-422-4-44-44-2-2-24-2-200022-42222-422-2-24-2-20000000000000000000000000000000000000000000000000000000000000000000−2i32i3000000
χ1044-4-44-244-422-4-44-44-2-2-24-2-200022-42222-422-2-24-2-200000000000000000000000000000000000000000000000000000000000000000002i3−2i3000000
χ10588-8-88-4-4-4-88-44444-8-4-4222000-4-422244-2-2-244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-48-4-44-484-8-844-42-422000-42-4224-24-2-24-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4884-4-4-844-842-4-4220002-4-422-244-2-2-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-4-44-4-444444222−1−3i3−1+3i3000222−1−3i3−1+3i3-2-2-21+3i31−3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-4-44-4-444444222−1+3i3−1−3i3000222−1+3i3−1−3i3-2-2-21−3i31+3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-4-44-8-844-44-48-4-422200044-2-2-244-2-2-2-4-4222000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-4444-848-8-4-4-42-4220004-24-2-24-24-2-2-42-422000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-48-8444-8-448-42-4-422000-244-2-2-244-2-22-4-422000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-444444-44-4-4222−1−3i3−1+3i3000-2-2-21+3i31−3i3-2-2-21+3i31−3i3222−1−3i3−1+3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-444444-44-4-4222−1+3i3−1−3i3000-2-2-21−3i31+3i3-2-2-21−3i31+3i3222−1+3i3−1−3i3000000000000000000000000000000000000000000000000000000000000000000000000000

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