Finite Group Databasebeta

← Group #13178317

Character table — Group #13178317

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222222244444444444444444444444444444888888888888888888888888888888888888181818181818363636363636363636363636363636363636363636727272727272
order1222333666666666333334446666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212122244444444444446612121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11-1-1-1-111-1-1-1-111-1-111-1-1-1-11-11-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-11-1-1-1-1-111-1-1-1-111-1-111-1-1-11-11-1-1
χ51111111111111111111111-1-111111111111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111-11-1-1-1-11-1111111-1-111-1-11-1-1-11-1
χ61111111111111111111111-1-111111111111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1111-1-1-1-111-1-1-1-1-11111-1
χ71111111111111111111111-1-111111111111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-1-11-1-111-1-1-1-1-1-11111-11-11
χ81111111111111111111111-1-111111111111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-1-111111111-1-11-1-11
χ9111111111111111111111-11-1111111111111111-1-111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-11-11-1-1-111111111-1-1-1-1-11-1-1-11
χ10111111111111111111111-11-1111111111111111-1-111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-11-1-111111-1-1-1-1-1-111-1-11-111-11
χ11111111111111111111111-11-1111111111111111-1-111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11-111-111-1-111-1-1111111-1-1-111-1
χ12111111111111111111111-11-1111111111111111-1-111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111-11-11-1-1-1-1-1-111-1-1-1-111111-11-1
χ13111111111111111111111-1-11111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-11-11111111-1-1-1-111-1-111-1-1
χ14111111111111111111111-1-11111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-11-111-1-1-1-111111111-1-1-1-1
χ15111111111111111111111-1-11111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-1-111-1-1-1-111-1-1-111-111
χ16111111111111111111111-1-11111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-11-1-11-1-1-1-11111-1-1-1-11-1-1111
χ17222222-1-1-1222222-12-1-1-1-12222-1-1-1-12-1-1-1-12-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1220000002220000-1-100000000-1-10000-1-1
χ18222222-1-1-1222222-12-1-1-1-12222-1-1-1-12-1-1-1-12-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2000000-2-2-20000110000000011000011
χ19222222-1-1-1222222-12-1-1-1-12-2-22-1-1-1-12-1-1-1-12-1-1-1-122-2-211-112-2-2-2-2-21111111122-1-1-1-1-1-1-1-1-2-211111111220000002-2-20000-1-100000000110000-11
χ20222222-1-1-1222222-12-1-1-1-12-2-22-1-1-1-12-1-1-1-12-1-1-1-122-2-211-112-2-2-2-2-21111111122-1-1-1-1-1-1-1-1-2-211111111-2-2000000-22200001100000000-1-100001-1
χ21222222-1-1-1222222-12-1-1-1-1-22-22-1-1-1-12-1-1-1-12-1-1-1-1-2-222111-1-22-2-2-2-211111111-2-21111111122-1-1-1-1-1-1-1-122000000-22-20000-1-1000000001100001-1
χ22222222-1-1-1222222-12-1-1-1-1-22-22-1-1-1-12-1-1-1-12-1-1-1-1-2-222111-1-22-2-2-2-211111111-2-21111111122-1-1-1-1-1-1-1-1-2-20000002-2200001100000000-1-10000-11
χ23222222-1-1-1222222-12-1-1-1-1-2-222-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-2-1-111-2-22222-1-1-1-1-1-1-1-1-2-211111111-2-21111111122000000-2-220000-1-100000000-1-1000011
χ24222222-1-1-1222222-12-1-1-1-1-2-222-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-2-1-111-2-22222-1-1-1-1-1-1-1-1-2-211111111-2-211111111-2-200000022-200001100000000110000-1-1
χ2522222-12222-12-12-12-12-1-1-1222-12-1-1-1-12-1-1-1-12-1-1-122-1-12222-122-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100220020000220000-1-100-1-10000-10-1000
χ2622222-12222-12-12-12-12-1-1-1222-12-1-1-1-12-1-1-1-12-1-1-122-1-12222-122-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-200-20000-2-200001100110000101000
χ2722222-12222-12-12-12-12-1-1-12-2-2-12-1-1-1-12-1-1-1-12-1-1-12211-2-22-2-1-2-2111-2-2111111-1-122-1-1-1-1-1-111-2-211111100220020000-2-20000-1-100110000-101000
χ2822222-12222-12-12-12-12-1-1-12-2-2-12-1-1-1-12-1-1-1-12-1-1-12211-2-22-2-1-2-2111-2-2111111-1-122-1-1-1-1-1-111-2-211111100-2-200-200002200001100-1-1000010-1000
χ2922222-12222-12-12-12-12-1-1-1-22-2-12-1-1-1-12-1-1-1-12-1-1-1-2-2-1-1-2-2-2212-2111-2-211111111-2-2111111-1-122-1-1-1-1-1-1002200-200002-20000-1-100-1-10000101000
χ3022222-12222-12-12-12-12-1-1-1-22-2-12-1-1-1-12-1-1-1-12-1-1-1-2-2-1-1-2-2-2212-2111-2-211111111-2-2111111-1-122-1-1-1-1-1-100-2-20020000-2200001100110000-10-1000
χ3122222-12222-12-12-12-12-1-1-1-2-22-12-1-1-1-12-1-1-1-12-1-1-1-2-21122-2-21-22-1-1-122-1-1-1-1-1-111-2-211111111-2-2111111002200-20000-220000-1-10011000010-1000
χ3222222-12222-12-12-12-12-1-1-1-2-22-12-1-1-1-12-1-1-1-12-1-1-1-2-21122-2-21-22-1-1-122-1-1-1-1-1-111-2-211111111-2-211111100-2-200200002-200001100-1-10000-101000
χ332222-12222-12-12-122-1-12-1-1222-1-12-1-1-1-12-1-1-1-12-1-1-1-12222222-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000220200000220000-1-100-1-1000-10-100
χ342222-12222-12-12-122-1-12-1-1222-1-12-1-1-1-12-1-1-1-12-1-1-1-12222222-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000-2-20-200000-2-2000011001100010100
χ352222-12222-12-12-122-1-12-1-12-2-2-1-12-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-22-2211-21111-2-21111-1-1-1-122-1-1-1-11111-2-211110000220-2000002-20000-1-100-1-100010100
χ362222-12222-12-12-122-1-12-1-12-2-2-1-12-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-22-2211-21111-2-21111-1-1-1-122-1-1-1-11111-2-211110000-2-20200000-220000110011000-10-100
χ372222-12222-12-12-122-1-12-1-1-22-2-1-12-1-1-1-12-1-1-1-12-1-11122-2-2-22-2-11-21111-2-211111111-2-21111-1-1-1-122-1-1-1-10000220200000-2-20000-1-10011000-10100
χ382222-12222-12-12-122-1-12-1-1-22-2-1-12-1-1-1-12-1-1-1-12-1-11122-2-2-22-2-11-21111-2-211111111-2-21111-1-1-1-122-1-1-1-10000-2-20-2000002200001100-1-100010-100
χ392222-12222-12-12-122-1-12-1-1-2-22-1-12-1-1-1-12-1-1-1-12-1-111-2-222-2-2-21-12-1-1-1-122-1-1-1-11111-2-211111111-2-211110000220-200000-220000-1-1001100010-100
χ402222-12222-12-12-122-1-12-1-1-2-22-1-12-1-1-1-12-1-1-1-12-1-111-2-222-2-2-21-12-1-1-1-122-1-1-1-11111-2-211111111-2-211110000-2-202000002-200001100-1-1000-10100
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
χ4544444-2-2-2-24-24-24-2-2-2-2111444-2-2111-2-2111-2-211144-2-2-2-2-2-2-244-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000
χ4644444-2-2-2-24-24-24-2-2-2-21114-4-4-2-2111-2-2111-2-2111442222-22-2-4-422222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000
χ4744444-2-2-2-24-24-24-2-2-2-2111-44-4-2-2111-2-2111-2-2111-4-4-2-2222-224-422222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000
χ4844444-2-2-2-24-24-24-2-2-2-2111-4-44-2-2111-2-2111-2-2111-4-422-2-2222-44-2-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000
χ494444-24-2-2-2-24-24-24-2-21-211444-21-211-21-211-21-211-2-244-2-2-2-24-2-24-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000
χ504444-24-2-2-2-24-24-24-2-21-2114-4-4-21-211-21-211-21-211-2-2-4-422-22422-422-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000
χ514444-24-2-2-2-24-24-24-2-21-211-44-4-21-211-21-211-21-2112244222-2-4-22-422-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000
χ524444-24-2-2-2-24-24-24-2-21-211-4-44-21-211-21-211-21-21122-4-4-2-222-42-24-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000
χ534444-2-2444-2-2-2-2-2-241-2-2114441-2-2111-2-2111-2-211-2-2-2-24444-2-2-2-211-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000
χ544444-2-2444-2-2-2-2-2-241-2-2114-4-41-2-2111-2-2111-2-211-2-222-4-44-4-2222-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000
χ554444-2-2444-2-2-2-2-2-241-2-211-44-41-2-2111-2-2111-2-21122-2-2-4-4-442-222-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000
χ564444-2-2444-2-2-2-2-2-241-2-211-4-441-2-2111-2-2111-2-211222244-4-422-2-211-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000
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+3i32-2-22222-22-2222-1-1-1-1-1-11+3i321+3i321−3i321−3i32111111−1−3i32−1−3i32−1+3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32000000000000000000000000000000000
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+3i3222-2-2222-22-222-1-1-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32111111−1−3i32−1−3i32−1+3i32−1+3i32000000000000000000000000000000000
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+3i322222-2-22222-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32000000000000000000000000000000000
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+3i32−1−3i32-2-22222-22-2222-1-1-1-1-1-11−3i321−3i321+3i321+3i32111111−1+3i32−1+3i32−1−3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32000000000000000000000000000000000
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+3i32−1−3i3222-2-2222-22-222-1-1-1-1-1-11−3i321−3i321+3i321+3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32111111−1+3i32−1+3i32−1−3i32−1−3i32000000000000000000000000000000000
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+3i32−1−3i322222-2-22222-2-2111111−1+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
χ6544-4-444-2-2244-4-4-4-424-2-2-2-20004-2-2-2-2-42222-422220000000000000000000000000000000000000000004-40000000000000-220000000000000000
χ6644-4-444-2-2244-4-4-4-424-2-2-2-20004-2-2-2-2-42222-42222000000000000000000000000000000000000000000-4400000000000002-20000000000000000
χ6744-4-44-244-44-2-42-42-4-24-2-2-2000-24-2-2-22-42222-4222000000000000000000000000000000000000000000004-40000000000000-2200000000000000
χ6844-4-44-244-44-2-42-42-4-24-2-2-2000-24-2-2-22-42222-422200000000000000000000000000000000000000000000-4400000000000002-200000000000000
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χ784-4-44444-4-4-4-4-4-444444444000-4-4-4-4-444444-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ794-4-4444-222-4-4-4-444-24-2-2-2-2000-422224-2-2-2-2-422220000−2i32i300000000−2i32i3−2i32i3−2i32i3−2i32i300000000000000000000000000000000000000000000000000000
χ804-4-4444-222-4-4-4-444-24-2-2-2-2000-422224-2-2-2-2-4222200002i3−2i3000000002i3−2i32i3−2i32i3−2i32i3−2i300000000000000000000000000000000000000000000000000000
χ814-4-444-24-4-4-42-424-24-24-2-2-20002-4222-24-2-2-22-42220023−23000000000000000000000000000023−230023−2323−2323−23000000000000000000000000000000000
χ824-4-444-24-4-4-42-424-24-24-2-2-20002-4222-24-2-2-22-422200−23230000000000000000000000000000−232300−2323−2323−2323000000000000000000000000000000000
χ834-4-444-2-222-42-424-2-2-2-211100022-1-1-1-2-211122-1-1-10023−23−2i32i300000000−2i32i3i3−i3i3−i3i3−i300003i−3i3i−3i3i−3i23−2300−33−33−33000000000000000000000000000000000
χ844-4-444-2-222-42-424-2-2-2-211100022-1-1-1-2-211122-1-1-10023−232i3−2i3000000002i3−2i3−i3i3−i3i3−i3i30000−3i3i−3i3i−3i3i23−2300−33−33−33000000000000000000000000000000000
χ854-4-444-2-222-42-424-2-2-2-211100022-1-1-1-2-211122-1-1-100−2323−2i32i300000000−2i32i3i3−i3i3−i3i3−i30000−3i3i−3i3i−3i3i−2323003−33−33−3000000000000000000000000000000000
χ864-4-444-2-222-42-424-2-2-2-211100022-1-1-1-2-211122-1-1-100−23232i3−2i3000000002i3−2i3−i3i3−i3i3−i3i300003i−3i3i−3i3i−3i−2323003−33−33−3000000000000000000000000000000000
χ874-4-44-244-4-42-42-4-244-2-24-2-200022-422-2-24-2-222-42223−230000000000000000000023−2323−230023−23−23230000000000000000000000000000000000000000000
χ884-4-44-244-4-42-42-4-244-2-24-2-200022-422-2-24-2-222-422−232300000000000000000000−2323−232300−232323−230000000000000000000000000000000000000000000
χ894-4-44-24-2222-42-4-24-2-21-2110002-12-1-1-21-2112-12-1-123−2300−2i32i300000000i3−i3−2i32i3i3−i3i3−i323−23−3300−333−3003i−3i003i−3i−3i3i000000000000000000000000000000000
χ904-4-44-24-2222-42-4-24-2-21-2110002-12-1-1-21-2112-12-1-123−23002i3−2i300000000−i3i32i3−2i3−i3i3−i3i323−23−3300−333−300−3i3i00−3i3i3i−3i000000000000000000000000000000000
χ914-4-44-24-2222-42-4-24-2-21-2110002-12-1-1-21-2112-12-1-1−232300−2i32i300000000i3−i3−2i32i3i3−i3i3−i3−23233−3003−3−3300−3i3i00−3i3i3i−3i000000000000000000000000000000000
χ924-4-44-24-2222-42-4-24-2-21-2110002-12-1-1-21-2112-12-1-1−2323002i3−2i300000000−i3i32i3−2i3−i3i3−i3i3−23233−3003−3−33003i−3i003i−3i−3i3i000000000000000000000000000000000
χ934-4-44-2-24-4-42222-2-241-2-211000-122-1-11-2-211-122-1-123−2323−23000000003-300003-3-33−3323−2300−333−3−330023−23−33−33000000000000000000000000000000000
χ944-4-44-2-24-4-42222-2-241-2-211000-122-1-11-2-211-122-1-123−23−232300000000-330000-333-3−3323−2300−333−33−300−23233−33−3000000000000000000000000000000000
χ954-4-44-2-24-4-42222-2-241-2-211000-122-1-11-2-211-122-1-1−232323−2300000000-330000-333-33−3−2323003−3−33−330023−23−33−33000000000000000000000000000000000
χ964-4-44-2-24-4-42222-2-241-2-211000-122-1-11-2-211-122-1-1−2323−2323000000003-300003-3-333−3−2323003−3−333−300−23233−33−3000000000000000000000000000000000
χ974-4-44-2-2-2222222-2-2-2111−1−3i32−1+3i32000-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i3223−2323−23−2i32i30000003-3i3−i3i3−i3−3−i323+i323−i32−3+i32−33−333i−3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−333i−3i−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000000000000000000
χ984-4-44-2-2-2222222-2-2-2111−1−3i32−1+3i32000-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i3223−23−23232i3−2i3000000-33−i3i3−i3i33+i32−3−i32−3+i323−i32−33−333i−3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ113−3−3i3i3−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000000000000000000000000000
χ994-4-44-2-2-2222222-2-2-2111−1−3i32−1+3i32000-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32−232323−232i3−2i3000000-33−i3i3−i3i33+i32−3−i32−3+i323−i323−33−3−3i3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11−333i−3i−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000000000000000000
χ1004-4-44-2-2-2222222-2-2-2111−1−3i32−1+3i32000-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32−2323−2323−2i32i30000003-3i3−i3i3−i3−3−i323+i323−i32−3+i323−33−3−3i3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ113−3−3i3i3−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000000000000000000000000000
χ1014-4-44-2-2-2222222-2-2-2111−1+3i32−1−3i32000-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i3223−2323−232i3−2i30000003-3−i3i3−i3i3−3+i323−i323+i32−3−i32−33−33−3i3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11−33−3i3i−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000000000000000000000
χ1024-4-44-2-2-2222222-2-2-2111−1+3i32−1−3i32000-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i3223−23−2323−2i32i3000000-33i3−i3i3−i33−i32−3+i32−3−i323+i32−33−33−3i3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ113−33i−3i3−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000000000000000000000
χ1034-4-44-2-2-2222222-2-2-2111−1+3i32−1−3i32000-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32−232323−23−2i32i3000000-33i3−i3i3−i33−i32−3+i32−3−i323+i323−33−33i−3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−33−3i3i−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000000000000000000000
χ1044-4-44-2-2-2222222-2-2-2111−1+3i32−1−3i32000-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32−2323−23232i3−2i30000003-3−i3i3−i3i3−3+i323−i323+i32−3−i323−33−33i−3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ113−33i−3i3−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000000000000000000000
χ10588-8-88-4-4-448-4-84-844-4-4222000-4-422244-2-2-244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-48-4-44-484-84-84-42-422000-42-4224-24-2-24-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-488-8-4-44444-82-4-4220002-4-422-244-2-2-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
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
χ1108-88-88-4-44-4-848-4-844-4-422200044-2-2-244-2-2-2-4-4222000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-48-44-44-8-484-84-42-4220004-24-2-24-24-2-2-42-422000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-48-8844-4-444-82-4-422000-244-2-2-244-2-22-4-422000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-44-444-4-4444222−1−3i3−1+3i3000-2-2-21+3i31−3i3-2-2-21+3i31−3i3222−1−3i3−1+3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-44-444-4-4444222−1+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.