Finite Group Databasebeta

← Group #13178216

Character table — Group #13178216

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222222244444444444444444444444444444888888888888888888888888888888888888181818181818363636363636363636363636363636363636363636727272727272
order12223336666666662333334466666666666666666121212126666666666661212121212121212121212121212121212121212121212124444442244444441212121212121212121212126612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11-1-11-1-11-1-111-1-1-1-111-1-1-1-11-1-1-11-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-11-1-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1-11
χ51111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-11-1-11-1-1-111-1-11111111-1-11-1-1
χ61111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-111-11-111111-1-1-1-1-1-1-1-1-11-1111
χ71111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-1-11-1-1-1-11111-1-1-1-1111-1-11
χ81111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1111-111-1-111-1-11111-1-11-11-1
χ91111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1111111-111-1-1-11-1-11111-1-11111-1-1-111-1-1-1
χ101111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-1-111-1-111-1-1-1-1-1-1111-11-111
χ111111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-11111-1-111-1-1-11-11
χ121111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-1-111-1-111-1-111-111-1
χ131111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-11-11-1-11-1-111111111-1-1-1-1-1-111
χ141111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1111-1111111-1-1-1-11111-1-1-1-1
χ151111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-11111-1-11-1-1-1-1-1-1-111-1-111-11111-1
χ161111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-11-11-11-1111-1-1-1-1-1-111-1-11-111-11
χ17222222-122-1-1222-1222-1-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-1-1-1222-122-1-1-1-1-1-1-1-1222-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1002200200200200-1-10000-1-10000-1000-10
χ18222222-122-1-1222-1222-1-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-1-1-1222-122-1-1-1-1-1-1-1-1222-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-200-200-200-200110000110000100010
χ19222222-122-1-1222-1222-1-1-1-1-2-2222-1-1-1-122-1-1-1-1-1-1-1-111-2-22-122-1-1-1-1-1-1-1-1-2-2-21-2-211111111-2-211111111002200200-200-200110000-1-10000-100010
χ20222222-122-1-1222-1222-1-1-1-1-2-2222-1-1-1-122-1-1-1-1-1-1-1-111-2-22-122-1-1-1-1-1-1-1-1-2-2-21-2-211111111-2-21111111100-2-200-200200200-1-100001100001000-10
χ21222222-122-1-1222-12-22-1-1-1-12-2-2-22-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-21-2-2111111112-22122-1-1-1-1-1-1-1-1-2-211111111002200-200-200200-1-10000-1-10000100010
χ22222222-122-1-1222-12-22-1-1-1-12-2-2-22-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-21-2-2111111112-22122-1-1-1-1-1-1-1-1-2-21111111100-2-200200200-200110000110000-1000-10
χ23222222-122-1-1222-12-22-1-1-1-1-22-2-22-1-1-1-122-1-1-1-1-1-1-1-11122-21-2-211111111-22-2-1-2-21111111122-1-1-1-1-1-1-1-1002200-200200-200110000-1-100001000-10
χ24222222-122-1-1222-12-22-1-1-1-1-22-2-22-1-1-1-122-1-1-1-1-1-1-1-11122-21-2-211111111-22-2-1-2-21111111122-1-1-1-1-1-1-1-100-2-200200-200200-1-10000110000-100010
χ2522222-12-1-1222222-12-12-1-1-122-1-1-12-1-1-1-1-122-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100002202000002200000000-1-1-1-10-1000-1
χ2622222-12-1-1222222-12-12-1-1-122-1-1-12-1-1-1-1-122-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-20-200000-2-2000000001111010001
χ2722222-12-1-1222222-12-12-1-1-1-2-2-1-1-12-1-1-1-1-122-1-1-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-111-2-211-2-211111111-2-21111110000220-2000002-200000000-1-1-1-1010001
χ2822222-12-1-1222222-12-12-1-1-1-2-2-1-1-12-1-1-1-1-122-1-1-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-111-2-211-2-211111111-2-21111110000-2-20200000-220000000011110-1000-1
χ2922222-12-1-1222222-1-2-12-1-1-12-211-12-1-1-1-1-122-1-1-1-1-1-122-2-2-2-211-2-2111111-112-2-1-122-1-1-1-1-1-111-2-21111110000220200000-2-200000000-1-1110-10001
χ3022222-12-1-1222222-1-2-12-1-1-12-211-12-1-1-1-1-122-1-1-1-1-1-122-2-2-2-211-2-2111111-112-2-1-122-1-1-1-1-1-111-2-21111110000-2-20-200000220000000011-1-101000-1
χ3122222-12-1-1222222-1-2-12-1-1-1-2211-12-1-1-1-1-122-1-1-1-1-1-1-2-222-2-211-2-21111111-1-2211-2-2111111-1-122-1-1-1-1-1-10000220-200000-2200000000-1-11101000-1
χ3222222-12-1-1222222-1-2-12-1-1-1-2211-12-1-1-1-1-122-1-1-1-1-1-1-2-222-2-211-2-21111111-1-2211-2-2111111-1-122-1-1-1-1-1-10000-2-202000002-20000000011-1-10-10001
χ332222-1222222-1-1-1222-1-12-1-12222-1-12-1-1-1-1-1-122-1-1-1-122-1-1-12-1-1-1-122-1-1-1-122-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122000000202200000-1-1-1-100000000-1-100
χ342222-1222222-1-1-1222-1-12-1-12222-1-12-1-1-1-1-1-122-1-1-1-122-1-1-12-1-1-1-122-1-1-1-122-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2000000-20-2-2000001111000000001100
χ352222-1222222-1-1-1222-1-12-1-1-2-222-1-12-1-1-1-1-1-122-1-1-1-1-2-211-12-1-1-1-122-1-1-1-1-2-21-21111-2-211111111-2-2111122000000-202-200000-1-111000000001-100
χ362222-1222222-1-1-1222-1-12-1-1-2-222-1-12-1-1-1-1-1-122-1-1-1-1-2-211-12-1-1-1-122-1-1-1-1-2-21-21111-2-211111111-2-21111-2-200000020-220000011-1-100000000-1100
χ372222-1222222-1-1-122-2-1-12-1-12-2-2-2-1-12-1-1-1-1-1-122-1-1-1-122111-21111-2-211112-2-1-2-1-1-1-122-1-1-1-11111-2-211112200000020-2-200000-1-11100000000-1100
χ382222-1222222-1-1-122-2-1-12-1-12-2-2-2-1-12-1-1-1-1-1-122-1-1-1-122111-21111-2-211112-2-1-2-1-1-1-122-1-1-1-11111-2-21111-2-2000000-20220000011-1-1000000001-100
χ392222-1222222-1-1-122-2-1-12-1-1-22-2-2-1-12-1-1-1-1-1-122-1-1-1-1-2-2-1-11-21111-2-21111-22121111-2-21111-1-1-1-122-1-1-1-122000000-20-2200000-1-1-1-1000000001100
χ402222-1222222-1-1-122-2-1-12-1-1-22-2-2-1-12-1-1-1-1-1-122-1-1-1-1-2-2-1-11-21111-2-21111-22121111-2-21111-1-1-1-122-1-1-1-1-2-2000000202-200000111100000000-1-100
χ412-22-22222-2-2-22-2-22-20222220000-2-2-2-2-22-22-22-222-2-200000000000000000000000000000000000000002i−2i2-22i−2i000000000002i−2i002-22i−2i00000000
χ422-22-22222-2-2-22-2-22-20222220000-2-2-2-2-22-22-22-222-2-200000000000000000000000000000000000000002i−2i-22−2i2i000000000002i−2i00-22−2i2i00000000
χ432-22-22222-2-2-22-2-22-20222220000-2-2-2-2-22-22-22-222-2-20000000000000000000000000000000000000000−2i2i2-2−2i2i00000000000−2i2i002-2−2i2i00000000
χ442-22-22222-2-2-22-2-22-20222220000-2-2-2-2-22-22-22-222-2-20000000000000000000000000000000000000000−2i2i-222i−2i00000000000−2i2i00-222i−2i00000000
χ4544444-2-2-2-2-2-2444-2-24-2-211144-2-2-2-2111-2-2-2-2111111-2-2444-2-2-2-2-2111111-2-24-2-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000
χ4644444-2-2-2-2-2-2444-2-24-2-2111-4-4-2-2-2-2111-2-2-2-211111122-4-44-2-2-2-2-211111122-422222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000
χ4744444-2-2-2-2-2-2444-2-2-4-2-21114-422-2-2111-2-2-2-2111111-2-2-4-4-422222-1-1-1-1-1-1-2242-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000
χ4844444-2-2-2-2-2-2444-2-2-4-2-2111-4422-2-2111-2-2-2-21111112244-422222-1-1-1-1-1-12-2-4-22222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000
χ494444-24-244-2-2-2-2-2-244-21-2114444-21-211-2-211-2-21111-2-2-2-2-2-2-2-211-2-2111144-2-2-2-211-2-21111-2-211-2-21111000000000000000000000000000000000
χ504444-24-244-2-2-2-2-2-244-21-211-4-444-21-211-2-211-2-211112222-2-2-2-211-2-21111-4-42222-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000
χ514444-24-244-2-2-2-2-2-24-4-21-2114-4-4-4-21-211-2-211-2-21111-2-2222222-1-122-1-1-1-14-4-22-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000
χ524444-24-244-2-2-2-2-2-24-4-21-211-44-4-4-21-211-2-211-2-2111122-2-22222-1-122-1-1-1-1-442-222-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000
χ534444-2-24-2-244-2-2-24-241-2-21144-2-21-2-21111-2-2-2-2111144-2-2-2411-2-2-2-21111-2-2-2411-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000
χ544444-2-24-2-244-2-2-24-241-2-211-4-4-2-21-2-21111-2-2-2-21111-4-422-2411-2-2-2-21111222-4-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000
χ554444-2-24-2-244-2-2-24-2-41-2-2114-4221-2-21111-2-2-2-2111144222-4-1-12222-1-1-1-1-22-2-411-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000
χ564444-2-24-2-244-2-2-24-2-41-2-211-44221-2-21111-2-2-2-21111-4-4-2-22-4-1-12222-1-1-1-12-224-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000
χ574444-2-2-2-2-2-2-2-2-2-2-2-24111−1−3i32−1+3i3244-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-2-2-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32000000000000000000000000000000000
χ584444-2-2-2-2-2-2-2-2-2-2-2-24111−1−3i32−1+3i32-4-4-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i322222-2-2111111−1−3i32−1−3i32−1+3i32−1+3i322222-1-1-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32000000000000000000000000000000000
χ594444-2-2-2-2-2-2-2-2-2-2-2-24111−1+3i32−1−3i3244-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-2-2-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32000000000000000000000000000000000
χ604444-2-2-2-2-2-2-2-2-2-2-2-24111−1+3i32−1−3i32-4-4-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i322222-2-2111111−1+3i32−1+3i32−1−3i32−1−3i322222-1-1-1-1-1-11−3i321−3i321+3i321+3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32000000000000000000000000000000000
χ614444-2-2-2-2-2-2-2-2-2-2-2-2-4111−1−3i32−1+3i324-422111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-2-22222-1-1-1-1-1-11+3i321+3i321−3i321−3i32-22-22111111−1−3i32−1−3i32−1+3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32000000000000000000000000000000000
χ624444-2-2-2-2-2-2-2-2-2-2-2-2-4111−1−3i32−1+3i32-4422111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i3222-2-222-1-1-1-1-1-11+3i321+3i321−3i321−3i322-22-2-1-1-1-1-1-11+3i321+3i321−3i321−3i32111111−1−3i32−1−3i32−1+3i32−1+3i32000000000000000000000000000000000
χ634444-2-2-2-2-2-2-2-2-2-2-2-2-4111−1+3i32−1−3i324-422111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-2-22222-1-1-1-1-1-11−3i321−3i321+3i321+3i32-22-22111111−1+3i32−1+3i32−1−3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32000000000000000000000000000000000
χ644444-2-2-2-2-2-2-2-2-2-2-2-2-4111−1+3i32−1−3i32-4422111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i3222-2-222-1-1-1-1-1-11−3i321−3i321+3i321+3i322-22-2-1-1-1-1-1-11−3i321−3i321+3i321+3i32111111−1+3i32−1+3i32−1−3i32−1−3i32000000000000000000000000000000000
χ6544-4-4444-444-4-44-4-4-40444440000-4-4-4-4-4-44-44-44-4-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ6644-4-444-2-44-22-44-42-404-2-2-2-20000-42222-442-22-222-2-2000000000000000000000000000000000000000000000000000000023−230000000000000000
χ6744-4-444-2-44-22-44-42-404-2-2-2-20000-42222-442-22-222-2-20000000000000000000000000000000000000000000000000000000−23230000000000000000
χ6844-4-44-242-24-4-44-4-420-24-2-2-200002-42222-2-442-222-2-20000000000000000000000000000000000000000000000000000000000000000023−23000000
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χ7044-4-4-244-444-42-22-4-40-2-24-2-2000022-4222-22-2-4422-2-20000000000000000000000000000000000000000000000000000000000023−23000000000000
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χ724-44-444-24-4224-4-4-2-404-2-2-2-20000-422224-4-22-22-2-2220000000000000000000000000000000000000000004-400000000000000000-220000000000
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χ774-44-4-2444-4-4-4-2224-40-2-24-2-2000022-422-22-224-4-2-2220000000000000000000000000000000000000000−4i4i0000000000000002i−2i00000000000000
χ784-4-44444-4-4-44-4-44-44044444000044444-4-4-4-4-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000
χ794-4-4444-2-4-42-2-4-442404-2-2-2-200004-2-2-2-2-4-42222222223−230000000000000000000023−2323−2323−2323−230000000000000000000000000000000000000000000
χ804-4-4444-2-4-42-2-4-442404-2-2-2-200004-2-2-2-2-4-422222222−232300000000000000000000−2323−2323−2323−23230000000000000000000000000000000000000000000
χ814-4-444-2422-44-4-44-4-20-24-2-2-200−2i32i3-24-2-2-222-4-4222222000000−2i32i300−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000000000000000000000000
χ824-4-444-2422-44-4-44-4-20-24-2-2-2002i3−2i3-24-2-2-222-4-42222220000002i3−2i3002i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000
χ834-4-444-2-2222-2-4-442-20-2-211100−2i32i3-2-21112222-1-1-1-1-1-123−230000−2i32i300i3−i3i3−i3i3−i300000023−23−33−33−3300003i−3i3i−3i3i−3i000000000000000000000000000000000
χ844-4-444-2-2222-2-4-442-20-2-211100−2i32i3-2-21112222-1-1-1-1-1-1−23230000−2i32i300i3−i3i3−i3i3−i3000000−23233−33−33−30000−3i3i−3i3i−3i3i000000000000000000000000000000000
χ854-4-444-2-2222-2-4-442-20-2-2111002i3−2i3-2-21112222-1-1-1-1-1-123−2300002i3−2i300−i3i3−i3i3−i3i300000023−23−33−33−330000−3i3i−3i3i−3i3i000000000000000000000000000000000
χ864-4-444-2-2222-2-4-442-20-2-2111002i3−2i3-2-21112222-1-1-1-1-1-1−232300002i3−2i300−i3i3−i3i3−i3i3000000−23233−33−33−300003i−3i3i−3i3i−3i000000000000000000000000000000000
χ874-4-44-244-4-4-4422-2-440-2-24-2-20000-2-24-2-22222-4-422220023−230000000000000000000000000023−2323−230023−23−2323000000000000000000000000000000000
χ884-4-44-244-4-4-4422-2-440-2-24-2-20000-2-24-2-22222-4-4222200−232300000000000000000000000000−2323−232300−232323−23000000000000000000000000000000000
χ894-4-44-24-2-4-42-222-2240-21-2110000-21-21122-1-122-1-1-1-123−2323−2300003-3003-3-33000000−3323−23−33−3323−23−3300−333−3000000000000000000000000000000000
χ904-4-44-24-2-4-42-222-2240-21-2110000-21-21122-1-122-1-1-1-123−23−23230000-3300-333-3000000−3323−23−33−33−23233−3003−3−33000000000000000000000000000000000
χ914-4-44-24-2-4-42-222-2240-21-2110000-21-21122-1-122-1-1-1-1−232323−230000-3300-333-30000003−3−23233−33−323−23−3300−333−3000000000000000000000000000000000
χ924-4-44-24-2-4-42-222-2240-21-2110000-21-21122-1-122-1-1-1-1−2323−232300003-3003-3-330000003−3−23233−33−3−23233−3003−3−33000000000000000000000000000000000
χ934-4-44-2-2422-4422-2-4-201-2-21100−2i32i31-2-211-1-12222-1-1-1-10023−2300i3−i300−2i32i3i3−i3i3−i300003i−3i00003i−3i−3i3i−3323−2300−333−3000000000000000000000000000000000
χ944-4-44-2-2422-4422-2-4-201-2-21100−2i32i31-2-211-1-12222-1-1-1-100−232300i3−i300−2i32i3i3−i3i3−i30000−3i3i0000−3i3i3i−3i3−3−2323003−3−33000000000000000000000000000000000
χ954-4-44-2-2422-4422-2-4-201-2-211002i3−2i31-2-211-1-12222-1-1-1-10023−2300−i3i3002i3−2i3−i3i3−i3i30000−3i3i0000−3i3i3i−3i−3323−2300−333−3000000000000000000000000000000000
χ964-4-44-2-2422-4422-2-4-201-2-211002i3−2i31-2-211-1-12222-1-1-1-100−232300−i3i3002i3−2i3−i3i3−i3i300003i−3i00003i−3i−3i3i3−3−2323003−3−33000000000000000000000000000000000
χ974-4-44-2-2-2222-222-22-20111−1−3i32−1+3i3200−2i32i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i3223−2323−2300i3−i33-3i3−i3−3−i323+i323−i32−3+i3200003i−3i−33−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−33−333i−3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11000000000000000000000000000000000
χ984-4-44-2-2-2222-222-22-20111−1−3i32−1+3i3200−2i32i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32−2323−232300i3−i33-3i3−i3−3−i323+i323−i32−3+i320000−3i3i3−33−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ113−33−3−3i3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000000000000000000
χ994-4-44-2-2-2222-222-22-20111−1−3i32−1+3i32002i3−2i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i3223−23−232300−i3i3-33−i3i33+i32−3−i32−3+i323−i3200003i−3i−33−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ113−33−3−3i3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000000000000000000
χ1004-4-44-2-2-2222-222-22-20111−1−3i32−1+3i32002i3−2i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32−232323−2300−i3i3-33−i3i33+i32−3−i32−3+i323−i320000−3i3i3−33−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11−33−333i−3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11000000000000000000000000000000000
χ1014-4-44-2-2-2222-222-22-20111−1+3i32−1−3i3200−2i32i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i3223−23−232300i3−i3-33i3−i33−i32−3+i32−3−i323+i320000−3i3i−33−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ113−33−33i−3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000000000000000000000
χ1024-4-44-2-2-2222-222-22-20111−1+3i32−1−3i3200−2i32i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32−232323−2300i3−i3-33i3−i33−i32−3+i32−3−i323+i3200003i−3i3−33−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−33−33−3i3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000000000000000000000
χ1034-4-44-2-2-2222-222-22-20111−1+3i32−1−3i32002i3−2i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i3223−2323−2300−i3i33-3−i3i3−3+i323−i323+i32−3−i320000−3i3i−33−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11−33−33−3i3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000000000000000000000
χ1044-4-44-2-2-2222-222-22-20111−1+3i32−1−3i32002i3−2i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32−2323−232300−i3i33-3−i3i3−3+i323−i323+i32−3−i3200003i−3i3−33−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ113−33−33i−3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000000000000000000000
χ10588-8-88-4-44-4-44-88-8440-4-4222000044-2-2-24-44-4-22-2-2220000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-48-4-88-444-444-80-42-42200004-24-2-24-4-224-4-2-2220000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-484-48-84-44-8402-4-4220000-244-2-2-224-44-4-2-2220000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-44-4-444-44440222−1−3i3−1+3i30000-2-2-21+3i31−3i3-22-22-221+3i31−3i3−1−3i3−1+3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-44-4-444-44440222−1+3i3−1−3i30000-2-2-21−3i31+3i3-22-22-221−3i31+3i3−1+3i3−1−3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-88-4-4-44448-8-8-440-4-4222000044-2-2-2-44-442-222-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-48-48-844-444-4-80-42-42200004-24-2-2-442-2-4422-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-48-44-8-8-4448402-4-4220000-244-2-22-2-44-4422-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-4-4444-444-440222−1−3i3−1+3i30000-2-2-21+3i31−3i32-22-22-2−1−3i3−1+3i31+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-4-4444-444-440222−1+3i3−1−3i30000-2-2-21−3i31+3i32-22-22-2−1+3i3−1−3i31−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000

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