Finite Group Databasebeta

← Group #13178720

Character table — Group #13178720

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222222244444444444444444444444444444888888888888888888888888888888888888181818181818363636363636363636363636363636363636363636727272727272
order1222333666666666333334446666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212122244444444444446612121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111
χ51111111111111111111111-1-111111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-11-11111-1-111-1-111-1-11-11-1
χ61111111111111111111111-1-111111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-11-1111-1-111-1-11111-1-1-11-11
χ71111111111111111111111-1-111111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11-1-11-1-111-1-1-1-111-1-1111-1-11
χ81111111111111111111111-1-111111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-11111-1-1-1-111-111-1
χ9111111111111111111111-11-1111111111111111-1-111-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111-11-1-1-1-1-1111111111-1-1-1-11-1-1-1-11
χ10111111111111111111111-11-1111111111111111-1-111-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-11-1111-111-1-1-1-1-1-111-1-11-1111-1
χ11111111111111111111111-11-1111111111111111-1-111-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-11-1-1-11111-1-11111-11-1-11-1
χ12111111111111111111111-11-1111111111111111-1-111-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1111-11-1-1-1-1-1-111-1-111-1111-11
χ13111111111111111111111-1-11111111111111111-1-1-1-111-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-11-1-11-1-11111-1-11111-1-1-11-11-1-1
χ14111111111111111111111-1-11111111111111111-1-1-1-111-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-11-11111-1-111-1-1-1-1-1-1-111-111
χ15111111111111111111111-1-11111111111111111-1-1-1-111-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11-1-1-11-1111-1-111-1-1-1-1-1-1111-1-1111
χ16111111111111111111111-1-11111111111111111-1-1-1-111-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-11111-1-1-1-1-1-1-1111111111-11-1-1-1
χ17222222-1-12222-1-1222-1-1-1-122222-1-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1220000220020000-1-100000000-1-1-1-10000
χ18222222-1-12222-1-1222-1-1-1-122222-1-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-20000-2-200-20000110000000011110000
χ19222222-1-12222-1-1222-1-1-1-12-2-222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-2-2-2-21122-2-222-1-1-1-1-1-1-1-1-2-211111111-2-211111111220000-2-20020000-1-100000000-1-1110000
χ20222222-1-12222-1-1222-1-1-1-12-2-222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-2-2-2-21122-2-222-1-1-1-1-1-1-1-1-2-211111111-2-211111111-2-200002200-20000110000000011-1-10000
χ21222222-1-12222-1-1222-1-1-1-1-22-222-1-1-1-1-1-1-1-12-1-1-1-11122-2-2-11-2-22-2-2-21111111122-1-1-1-1-1-1-1-1-2-2111111112200002-200-20000-1-10000000011-110000
χ22222222-1-12222-1-1222-1-1-1-1-22-222-1-1-1-1-1-1-1-12-1-1-1-11122-2-2-11-2-22-2-2-21111111122-1-1-1-1-1-1-1-1-2-211111111-2-20000-2200200001100000000-1-11-10000
χ23222222-1-12222-1-1222-1-1-1-1-2-2222-1-1-1-1-1-1-1-12-1-1-1-111-2-2221-1-2-2-22-2-211111111-2-21111111122-1-1-1-1-1-1-1-1220000-2200-20000-1-100000000111-10000
χ24222222-1-12222-1-1222-1-1-1-1-2-2222-1-1-1-1-1-1-1-12-1-1-1-111-2-2221-1-2-2-22-2-211111111-2-21111111122-1-1-1-1-1-1-1-1-2-200002-200200001100000000-1-1-110000
χ2522222-12222-1-1222-1-12-1-1-1222-1-122-1-1-1-1-1-1-12-1-1-12222-1-1222-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000022000200022000000-1-1-1-1000000-1-1
χ2622222-12222-1-1222-1-12-1-1-1222-1-122-1-1-1-1-1-1-12-1-1-12222-1-1222-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-2000-2000-2-2000000111100000011
χ2722222-12222-1-1222-1-12-1-1-12-2-2-1-122-1-1-1-1-1-1-12-1-1-122-2-211-2-22-11-2-1-122-1-1-1-1-1-111-2-211111111-2-2111111000022000-20002-2000000-1-111000000-11
χ2822222-12222-1-1222-1-12-1-1-12-2-2-1-122-1-1-1-1-1-1-12-1-1-122-2-211-2-22-11-2-1-122-1-1-1-1-1-111-2-211111111-2-21111110000-2-20002000-2200000011-1-10000001-1
χ2922222-12222-1-1222-1-12-1-1-1-22-2-1-122-1-1-1-1-1-1-12-1-1-1-2-222112-2-21-1-211-2-2111111-1-122-1-1-1-1-1-111-2-2111111000022000-2000-22000000-1-1110000001-1
χ3022222-12222-1-1222-1-12-1-1-1-22-2-1-122-1-1-1-1-1-1-12-1-1-1-2-222112-2-21-1-211-2-2111111-1-122-1-1-1-1-1-111-2-21111110000-2-200020002-200000011-1-1000000-11
χ3122222-12222-1-1222-1-12-1-1-1-2-22-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-2-1-1-22-211211-2-211111111-2-2111111-1-122-1-1-1-1-1-10000220002000-2-2000000-1-1-1-100000011
χ3222222-12222-1-1222-1-12-1-1-1-2-22-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-2-1-1-22-211211-2-211111111-2-2111111-1-122-1-1-1-1-1-10000-2-2000-2000220000001111000000-1-1
χ332222-1222-1-12222-12-1-12-1-1222-1-1-1-122-1-1-1-1-1-12-1-122-1-12222-122-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100220000200220000-1-1-1-100000000-1-100
χ342222-1222-1-12222-12-1-12-1-1222-1-1-1-122-1-1-1-1-1-12-1-122-1-12222-122-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100-2-20000-200-2-200001111000000001100
χ352222-1222-1-12222-12-1-12-1-12-2-2-1-1-1-122-1-1-1-1-1-12-1-12211-2-2-2-2-12-21-1-1-1-122-1-1-1-11111-2-211111111-2-2111100220000-2002-20000-1-11100000000-1100
χ362222-1222-1-12222-12-1-12-1-12-2-2-1-1-1-122-1-1-1-1-1-12-1-12211-2-2-2-2-12-21-1-1-1-122-1-1-1-11111-2-211111111-2-2111100-2-20000200-22000011-1-1000000001-100
χ372222-1222-1-12222-12-1-12-1-1-22-2-1-1-1-122-1-1-1-1-1-12-1-1-2-2-1-1-2-22-21-2211111-2-21111-1-1-1-122-1-1-1-11111-2-2111100220000200-2-20000-1-1-1-1000000001100
χ382222-1222-1-12222-12-1-12-1-1-22-2-1-1-1-122-1-1-1-1-1-12-1-1-2-2-1-1-2-22-21-2211111-2-21111-1-1-1-122-1-1-1-11111-2-2111100-2-20000-200220000111100000000-1-100
χ392222-1222-1-12222-12-1-12-1-1-2-22-1-1-1-122-1-1-1-1-1-12-1-1-2-21122-221-2-2-11111-2-211111111-2-21111-1-1-1-122-1-1-1-100220000-200-220000-1-111000000001-100
χ402222-1222-1-12222-12-1-12-1-1-2-22-1-1-1-122-1-1-1-1-1-12-1-1-2-21122-221-2-2-11111-2-211111111-2-21111-1-1-1-122-1-1-1-100-2-200002002-2000011-1-100000000-1100
χ4122-2-222222-22-2-2-2-2-2222220002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000002-22-22-20000000002-22-2002-20000000000
χ4222-2-222222-22-2-2-2-2-2222220002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000002-2-22-220000000002-2-2200-220000000000
χ4322-2-222222-22-2-2-2-2-2222220002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000-222-2-22000000000-222-200-220000000000
χ4422-2-222222-22-2-2-2-2-2222220002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000-22-222-2000000000-22-22002-20000000000
χ4544444-2-2-244-2-2-2-24-2-2-2111444-2-2-2-2111111-2-2111-2-244-2-2-2-24-2-24-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000
χ4644444-2-2-244-2-2-2-24-2-2-21114-4-4-2-2-2-2111111-2-2111-2-2-4-422224-22-4-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000
χ4744444-2-2-244-2-2-2-24-2-2-2111-44-4-2-2-2-2111111-2-2111224422-22-42-2-42222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000
χ4844444-2-2-244-2-2-2-24-2-2-2111-4-44-2-2-2-2111111-2-211122-4-4-2-22-2-42242222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000
χ494444-24-2-2-2-244-2-2-24-21-211444-2-211-2-21111-21-211-2-2-2-244-2-2-244-2-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000
χ504444-24-2-2-2-244-2-2-24-21-2114-4-4-2-211-2-21111-21-211-2-222-4-422-24-42-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000
χ514444-24-2-2-2-244-2-2-24-21-211-44-4-2-211-2-21111-21-21122-2-2-4-4-222-44222-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000
χ524444-24-2-2-2-244-2-2-24-21-211-4-44-2-211-2-21111-21-2112222442-22-4-4-222-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000
χ534444-2-244-2-2-2-244-2-21-2-21144411-2-2-2-211111-2-21144-2-2-2-244-2-2-2-211-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000
χ544444-2-244-2-2-2-244-2-21-2-2114-4-411-2-2-2-211111-2-211442222-4-4-2-22211-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000
χ554444-2-244-2-2-2-244-2-21-2-211-44-411-2-2-2-211111-2-211-4-4-2-2224-422-22-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000
χ564444-2-244-2-2-2-244-2-21-2-211-4-4411-2-2-2-211111-2-211-4-422-2-2-44222-2-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000
χ574444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32444111111−1−3i32−1+3i32−1−3i32−1+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+3i324-4-4111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2222222-2-222111111−1−3i32−1−3i32−1+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+3i32-44-4111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i3222-2-222-2222-22-1-1-1-1-1-11+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+3i32-4-44111111−1−3i32−1+3i32−1−3i32−1+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+3i32−1−3i32444111111−1+3i32−1−3i32−1+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+3i32−1−3i324-4-4111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2222222-2-222111111−1+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+3i32−1−3i32-44-4111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i3222-2-222-2222-22-1-1-1-1-1-11−3i321−3i321+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+3i32−1−3i32-4-44111111−1+3i32−1−3i32−1+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
χ6544-4-444-2-24-44-422-4-44-2-2-2-20004-4-22-22-2-222-422220000000000000000000000000000000000000000004-40000000000000-220000000000000000
χ6644-4-444-2-24-44-422-4-44-2-2-2-20004-4-22-22-2-222-42222000000000000000000000000000000000000000000-4400000000000002-20000000000000000
χ6744-4-44-2444-4-22-4-4-42-24-2-2-2000-224-4-22-2-2222-422200000000000000000000000000000000000000000000004-4000000000000000-220000000000
χ6844-4-44-2444-4-22-4-4-42-24-2-2-2000-224-4-22-2-2222-42220000000000000000000000000000000000000000000000-440000000000000002-20000000000
χ6944-4-4-2444-224-4-4-42-4-2-24-2-2000-22-224-4-2-22222-422000000000000000000000000000000000000000000004-40000000000000-2200000000000000
χ7044-4-4-2444-224-4-4-42-4-2-24-2-2000-22-224-4-2-22222-42200000000000000000000000000000000000000000000-4400000000000002-200000000000000
χ714-44-4444-4-44-44-44-4-444444000-44-44-44-4-444-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000
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χ734-44-444-22-44-442-2-4-44-2-2-2-2000-442-22-222-2-2-422220000000000000000000000000000000000000000000000000000000000000000000−2323000000
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χ784-4-44444-4-4-4-4-44-44444444000-4-4-4-4-4-4-4-4-4-444444000000000000000000000000000000000000000000000000000000000000000000000000000
χ794-4-4444-22-4-4-4-4-22444-2-2-2-2000-4-4222222224-2-2-2-2−2i32i3000000000000−2i32i3−2i32i3−2i32i3−2i32i300000000000000000000000000000000000000000000000000000
χ804-4-4444-22-4-4-4-4-22444-2-2-2-2000-4-4222222224-2-2-2-22i3−2i30000000000002i3−2i32i3−2i32i3−2i32i3−2i300000000000000000000000000000000000000000000000000000
χ814-4-444-24-4-4-4224-44-2-24-2-2-200022-4-4222222-24-2-2-20000−2i32i300000000000000000000000000−2i32i300−2i32i3−2i32i3−2i32i3000000000000000000000000000000000
χ824-4-444-24-4-4-4224-44-2-24-2-2-200022-4-4222222-24-2-2-200002i3−2i3000000000000000000000000002i3−2i3002i3−2i32i3−2i32i3−2i3000000000000000000000000000000000
χ834-4-444-2-22-4-422-224-2-2-21110002222-1-1-1-1-1-1-2-2111−2i32i300−2i32i300000000−2i32i3i3−i3i3−i3i3−i300003-33-33-3−2i32i300i3−i3i3−i3i3−i3000000000000000000000000000000000
χ844-4-444-2-22-4-422-224-2-2-21110002222-1-1-1-1-1-1-2-2111−2i32i3002i3−2i300000000−2i32i3i3−i3i3−i3i3−i30000-33-33-332i3−2i300−i3i3−i3i3−i3i3000000000000000000000000000000000
χ854-4-444-2-22-4-422-224-2-2-21110002222-1-1-1-1-1-1-2-21112i3−2i300−2i32i3000000002i3−2i3−i3i3−i3i3−i3i30000-33-33-33−2i32i300i3−i3i3−i3i3−i3000000000000000000000000000000000
χ864-4-444-2-22-4-422-224-2-2-21110002222-1-1-1-1-1-1-2-21112i3−2i3002i3−2i3000000002i3−2i3−i3i3−i3i3−i3i300003-33-33-32i3−2i300−i3i3−i3i3−i3i3000000000000000000000000000000000
χ874-4-44-244-422-4-44-4-24-2-24-2-20002222-4-42222-2-24-2-200−2i32i3000000000000000000−2i32i3−2i32i300−2i32i32i3−2i30000000000000000000000000000000000000000000
χ884-4-44-244-422-4-44-4-24-2-24-2-20002222-4-42222-2-24-2-2002i3−2i30000000000000000002i3−2i32i3−2i3002i3−2i3−2i32i30000000000000000000000000000000000000000000
χ894-4-44-24-2222-4-4-22-24-21-21100022-1-122-1-1-1-1-21-211−2i32i3−2i32i30000000000i3−i3−2i32i3i3−i3i3−i3−2i32i3i3−i300i3−i3−i3i3003-3003-3-33000000000000000000000000000000000
χ904-4-44-24-2222-4-4-22-24-21-21100022-1-122-1-1-1-1-21-211−2i32i32i3−2i30000000000i3−i3−2i32i3i3−i3i3−i32i3−2i3−i3i300−i3i3i3−i300-3300-333-3000000000000000000000000000000000
χ914-4-44-24-2222-4-4-22-24-21-21100022-1-122-1-1-1-1-21-2112i3−2i3−2i32i30000000000−i3i32i3−2i3−i3i3−i3i3−2i32i3i3−i300i3−i3−i3i300-3300-333-3000000000000000000000000000000000
χ924-4-44-24-2222-4-4-22-24-21-21100022-1-122-1-1-1-1-21-2112i3−2i32i3−2i30000000000−i3i32i3−2i3−i3i3−i3i32i3−2i3−i3i300−i3i3i3−i3003-3003-3-33000000000000000000000000000000000
χ934-4-44-2-24-422224-4-2-21-2-211000-1-12222-1-1-1-11-2-21100−2i32i3−2i32i30000003-300003-3-33i3−i3−2i32i300i3−i3−i3i3i3−i300−2i32i3i3−i3i3−i3000000000000000000000000000000000
χ944-4-44-2-24-422224-4-2-21-2-211000-1-12222-1-1-1-11-2-21100−2i32i32i3−2i3000000-330000-333-3i3−i3−2i32i300i3−i3−i3i3−i3i3002i3−2i3−i3i3−i3i3000000000000000000000000000000000
χ954-4-44-2-24-422224-4-2-21-2-211000-1-12222-1-1-1-11-2-211002i3−2i3−2i32i3000000-330000-333-3−i3i32i3−2i300−i3i3i3−i3i3−i300−2i32i3i3−i3i3−i3000000000000000000000000000000000
χ964-4-44-2-24-422224-4-2-21-2-211000-1-12222-1-1-1-11-2-211002i3−2i32i3−2i30000003-300003-3-33−i3i32i3−2i300−i3i3i3−i3−i3i3002i3−2i3−i3i3−i3i3000000000000000000000000000000000
χ974-4-44-2-2-222222-22-2-2111−1−3i32−1+3i32000-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32−2i32i3−2i32i3−2i32i30000003-3i3−i3i3−i3−3−i323+i323−i32−3+i32i3−i3i3−i33-3−3−i323+i32−3+i323−i32i3−i33-3i3−i3−3−i323+i323−i32−3+i32000000000000000000000000000000000
χ984-4-44-2-2-222222-22-2-2111−1−3i32−1+3i32000-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32−2i32i32i3−2i32i3−2i30000003-3i3−i3i3−i3−3−i323+i323−i32−3+i32−i3i3−i3i3-333+i32−3−i323−i32−3+i32−i3i3-33−i3i33+i32−3−i32−3+i323−i32000000000000000000000000000000000
χ994-4-44-2-2-222222-22-2-2111−1−3i32−1+3i32000-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322i3−2i3−2i32i32i3−2i3000000-33−i3i3−i3i33+i32−3−i32−3+i323−i32i3−i3i3−i33-3−3−i323+i32−3+i323−i32−i3i3-33−i3i33+i32−3−i32−3+i323−i32000000000000000000000000000000000
χ1004-4-44-2-2-222222-22-2-2111−1−3i32−1+3i32000-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322i3−2i32i3−2i3−2i32i3000000-33−i3i3−i3i33+i32−3−i32−3+i323−i32−i3i3−i3i3-333+i32−3−i323−i32−3+i32i3−i33-3i3−i3−3−i323+i323−i32−3+i32000000000000000000000000000000000
χ1014-4-44-2-2-222222-22-2-2111−1+3i32−1−3i32000-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32−2i32i3−2i32i32i3−2i3000000-33i3−i3i3−i33−i32−3+i32−3−i323+i32i3−i3i3−i3-333−i32−3+i323+i32−3−i32−i3i33-3−i3i3−3+i323−i323+i32−3−i32000000000000000000000000000000000
χ1024-4-44-2-2-222222-22-2-2111−1+3i32−1−3i32000-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32−2i32i32i3−2i3−2i32i3000000-33i3−i3i3−i33−i32−3+i32−3−i323+i32−i3i3−i3i33-3−3+i323−i32−3−i323+i32i3−i3-33i3−i33−i32−3+i32−3−i323+i32000000000000000000000000000000000
χ1034-4-44-2-2-222222-22-2-2111−1+3i32−1−3i32000-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322i3−2i3−2i32i3−2i32i30000003-3−i3i3−i3i3−3+i323−i323+i32−3−i32i3−i3i3−i3-333−i32−3+i323+i32−3−i32i3−i3-33i3−i33−i32−3+i32−3−i323+i32000000000000000000000000000000000
χ1044-4-44-2-2-222222-22-2-2111−1+3i32−1−3i32000-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322i3−2i32i3−2i32i3−2i30000003-3−i3i3−i3i3−3+i323−i323+i32−3−i32−i3i3−i3i33-3−3+i323−i32−3−i323+i32−i3i33-3−i3i3−3+i323−i323+i32−3−i32000000000000000000000000000000000
χ10588-8-88-4-4-48-8-4444-84-4-4222000-44-442-222-2-244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-48-4-4-448-8444-8-42-422000-442-2-4422-2-24-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-488-44-44-8-8442-4-4220002-2-44-4422-2-2-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-4-4-44-444444222−1−3i3−1+3i30002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-4-4-44-444444222−1+3i3−1−3i30002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-88-4-44-884-44-4-84-4-42220004-44-4-22-2-22244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-48-444-4-884-44-8-42-4220004-4-224-4-2-2224-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-48-84-44-4-88442-4-422000-224-44-4-2-222-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-444-44-44-444222−1−3i3−1+3i3000-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-444-44-44-444222−1+3i3−1−3i3000-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).