Finite Group Databasebeta

← Group #13178251

Character table — Group #13178251

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222244444444444444444444444444444888888888888888888888888888888888888181818181818181818181818363636363636363636363636363636363636727272727272
order122233366666666623333344666666666666666661212121266666666666612121212121212121212121212121212121212121212121222444444444422444466121212121212121212126612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-11-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-11
χ51111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-11-11-111-1-111-1-11111-1-11-11-1
χ61111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1111-1111-1-1-1-111-1-1-1-11-111-11
χ71111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111
χ81111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-11-1-1-1-111-1-1111111-11-11-1-1
χ91111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11-11-1-1111111-1-111-1-11-1-11-1-1
χ101111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1111111-1-111-1-111-1-1-1-111
χ111111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-111-11-1-1-1-111-1-1-1-111-1111-11
χ121111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-11-1-1-1-1-1-1-11111-1-1111-11-1
χ131111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-11-1-1-1-1111-1-1111111-1-1-11-1-1-11
χ141111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-111-111-1-1-1-1-1-1-1-11111-111-1
χ151111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-111-111-1-1-1-1-1111111-1-1111-11-1-1-1
χ161111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111
χ17222222-1-12222-1-12222-1-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-1-1-1222-122-1-1-1-1-1-1-1-1222-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222200000000202000-1-1-1-1000000000-1-1000
χ18222222-1-12222-1-12222-1-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-1-1-1222-122-1-1-1-1-1-1-1-1222-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-200000000-20-2000111100000000011000
χ19222222-1-12222-1-12222-1-1-1-1-2-2222-1-1-1-122-1-1-1-1-1-1-1-111-2-22-122-1-1-1-1-1-1-1-1-2-2-21-2-211111111-2-21111111122-2-200000000-202000-1-1110000000001-1000
χ20222222-1-12222-1-12222-1-1-1-1-2-2222-1-1-1-122-1-1-1-1-1-1-1-111-2-22-122-1-1-1-1-1-1-1-1-2-2-21-2-211111111-2-211111111-2-2220000000020-200011-1-1000000000-11000
χ21222222-1-12222-1-122-22-1-1-1-12-2-2-22-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-21-2-2111111112-22122-1-1-1-1-1-1-1-1-2-211111111222200000000-20-2000-1-1-1-100000000011000
χ22222222-1-12222-1-122-22-1-1-1-12-2-2-22-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-21-2-2111111112-22122-1-1-1-1-1-1-1-1-2-211111111-2-2-2-2000000002020001111000000000-1-1000
χ23222222-1-12222-1-122-22-1-1-1-1-22-2-22-1-1-1-122-1-1-1-1-1-1-1-11122-21-2-211111111-22-2-1-2-21111111122-1-1-1-1-1-1-1-122-2-20000000020-2000-1-111000000000-11000
χ24222222-1-12222-1-122-22-1-1-1-1-22-2-22-1-1-1-122-1-1-1-1-1-1-1-11122-21-2-211111111-22-2-1-2-21111111122-1-1-1-1-1-1-1-1-2-22200000000-20200011-1-10000000001-1000
χ2522222-122-1-122222-12-12-1-1-122-1-1-12-1-1-1-1-122-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000222202000200000000-1-1-1-1-10000-1
χ2622222-122-1-122222-12-12-1-1-122-1-1-12-1-1-1-1-122-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000-2-2-2-20-2000-2000000001111100001
χ2722222-122-1-122222-12-12-1-1-1-2-2-1-1-12-1-1-1-1-122-1-1-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-111-2-211-2-211111111-2-21111110000000022220-2000-200000000-1-1-1-1100001
χ2822222-122-1-122222-12-12-1-1-1-2-2-1-1-12-1-1-1-1-122-1-1-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-111-2-211-2-211111111-2-211111100000000-2-2-2-2020002000000001111-10000-1
χ2922222-122-1-122222-1-2-12-1-1-12-211-12-1-1-1-1-122-1-1-1-1-1-122-2-2-2-211-2-2111111-112-2-1-122-1-1-1-1-1-111-2-21111110000000022-2-202000-200000000-1-111-100001
χ3022222-122-1-122222-1-2-12-1-1-12-211-12-1-1-1-1-122-1-1-1-1-1-122-2-2-2-211-2-2111111-112-2-1-122-1-1-1-1-1-111-2-211111100000000-2-2220-200020000000011-1-110000-1
χ3122222-122-1-122222-1-2-12-1-1-1-2211-12-1-1-1-1-122-1-1-1-1-1-1-2-222-2-211-2-21111111-1-2211-2-2111111-1-122-1-1-1-1-1-10000000022-2-20-2000200000000-1-11110000-1
χ3222222-122-1-122222-1-2-12-1-1-1-2211-12-1-1-1-1-122-1-1-1-1-1-1-2-222-2-211-2-21111111-1-2211-2-2111111-1-122-1-1-1-1-1-100000000-2-22202000-20000000011-1-1-100001
χ332222-122222-1-122-122-1-12-1-12222-1-12-1-1-1-1-1-122-1-1-1-122-1-1-12-1-1-1-122-1-1-1-122-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000222200000002200000-1-1-1-10000000-1-10
χ342222-122222-1-122-122-1-12-1-12222-1-12-1-1-1-1-1-122-1-1-1-122-1-1-12-1-1-1-122-1-1-1-122-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000-2-2-2-20000000-2-20000011110000000110
χ352222-122222-1-122-122-1-12-1-1-2-222-1-12-1-1-1-1-1-122-1-1-1-1-2-211-12-1-1-1-122-1-1-1-1-2-21-21111-2-211111111-2-21111000022-2-20000000-2200000-1-11100000001-10
χ362222-122222-1-122-122-1-12-1-1-2-222-1-12-1-1-1-1-1-122-1-1-1-1-2-211-12-1-1-1-122-1-1-1-1-2-21-21111-2-211111111-2-211110000-2-22200000002-20000011-1-10000000-110
χ372222-122222-1-122-12-2-1-12-1-12-2-2-2-1-12-1-1-1-1-1-122-1-1-1-122111-21111-2-211112-2-1-2-1-1-1-122-1-1-1-11111-2-21111000022-2-200000002-200000-1-1110000000-110
χ382222-122222-1-122-12-2-1-12-1-12-2-2-2-1-12-1-1-1-1-1-122-1-1-1-122111-21111-2-211112-2-1-2-1-1-1-122-1-1-1-11111-2-211110000-2-2220000000-220000011-1-100000001-10
χ392222-122222-1-122-12-2-1-12-1-1-22-2-2-1-12-1-1-1-1-1-122-1-1-1-1-2-2-1-11-21111-2-21111-22121111-2-21111-1-1-1-122-1-1-1-1000022220000000-2-200000-1-1-1-10000000110
χ402222-122222-1-122-12-2-1-12-1-1-22-2-2-1-12-1-1-1-1-1-122-1-1-1-1-2-2-1-11-21111-2-21111-22121111-2-21111-1-1-1-122-1-1-1-10000-2-2-2-20000000220000011110000000-1-10
χ4122-2-2222-22-22-22-2-2-20222220000-2-2-2-2-22-22-22-222-2-20000000000000000000000000000000000000000002-2002i−2i002i−2i000000002-2002i−2i002i−2i000000
χ4222-2-2222-22-22-22-2-2-20222220000-2-2-2-2-22-22-22-222-2-20000000000000000000000000000000000000000002-200−2i2i00−2i2i000000002-200−2i2i00−2i2i000000
χ4322-2-2222-22-22-22-2-2-20222220000-2-2-2-2-22-22-22-222-2-2000000000000000000000000000000000000000000-22002i−2i00−2i2i00000000-22002i−2i00−2i2i000000
χ4422-2-2222-22-22-22-2-2-20222220000-2-2-2-2-22-22-22-222-2-2000000000000000000000000000000000000000000-2200−2i2i002i−2i00000000-2200−2i2i002i−2i000000
χ452-22-2222-2-22-22-22-2-20222220000-2-2-2-2-2-22-22-22-2-22200000000000000000000000000000000000000002-2002i−2i002i−2i000000002-2002i−2i002i−2i00000000
χ462-22-2222-2-22-22-22-2-20222220000-2-2-2-2-2-22-22-22-2-22200000000000000000000000000000000000000002-200−2i2i00−2i2i000000002-200−2i2i00−2i2i00000000
χ472-22-2222-2-22-22-22-2-20222220000-2-2-2-2-2-22-22-22-2-2220000000000000000000000000000000000000000-22002i−2i00−2i2i00000000-22002i−2i00−2i2i00000000
χ482-22-2222-2-22-22-22-2-20222220000-2-2-2-2-2-22-22-22-2-2220000000000000000000000000000000000000000-2200−2i2i002i−2i00000000-2200−2i2i002i−2i00000000
χ4944444-2-2-2-2-244-2-24-24-2-211144-2-2-2-2111-2-2-2-2111111-2-2444-2-2-2-2-2111111-2-24-2-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000
χ5044444-2-2-2-2-244-2-24-24-2-2111-4-4-2-2-2-2111-2-2-2-211111122-4-44-2-2-2-2-211111122-422222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000
χ5144444-2-2-2-2-244-2-24-2-4-2-21114-422-2-2111-2-2-2-2111111-2-2-4-4-422222-1-1-1-1-1-1-2242-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000
χ5244444-2-2-2-2-244-2-24-2-4-2-2111-4422-2-2111-2-2-2-21111112244-422222-1-1-1-1-1-12-2-4-22222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000
χ534444-24-2-244-2-2-2-2-244-21-2114444-21-211-2-211-2-21111-2-2-2-2-2-2-2-211-2-2111144-2-2-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000
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χ564444-24-2-244-2-2-2-2-24-4-21-211-44-4-4-21-211-2-211-2-2111122-2-22222-1-122-1-1-1-1-442-222-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000
χ574444-2-244-2-2-2-244-2-241-2-21144-2-21-2-21111-2-2-2-2111144-2-2-2411-2-2-2-21111-2-2-2411-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000
χ584444-2-244-2-2-2-244-2-241-2-211-4-4-2-21-2-21111-2-2-2-21111-4-422-2411-2-2-2-21111222-4-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ594444-2-244-2-2-2-244-2-2-41-2-2114-4221-2-21111-2-2-2-2111144222-4-1-12222-1-1-1-1-22-2-411-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000
χ604444-2-244-2-2-2-244-2-2-41-2-211-44221-2-21111-2-2-2-21111-4-4-2-22-4-1-12222-1-1-1-12-224-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000
χ614444-2-2-2-2-2-2-2-2-2-2-2-24111−1−3i32−1+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+3i32000000000000000000000000000000000000
χ624444-2-2-2-2-2-2-2-2-2-2-2-24111−1−3i32−1+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+3i321−3i321−3i32000000000000000000000000000000000000
χ634444-2-2-2-2-2-2-2-2-2-2-2-24111−1+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+3i32−1−3i32−1−3i32000000000000000000000000000000000000
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χ654444-2-2-2-2-2-2-2-2-2-2-2-2-4111−1−3i32−1+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+3i321−3i321−3i32000000000000000000000000000000000000
χ664444-2-2-2-2-2-2-2-2-2-2-2-2-4111−1−3i32−1+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+3i32000000000000000000000000000000000000
χ674444-2-2-2-2-2-2-2-2-2-2-2-2-4111−1+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+3i32000000000000000000000000000000000000
χ684444-2-2-2-2-2-2-2-2-2-2-2-2-4111−1+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+3i32−1−3i32−1−3i32000000000000000000000000000000000000
χ6944-4-444-224-44-4-22-4-404-2-2-2-20000-422224-4-22-22-2-2220000000000000000000000000000000000000000004-40000000000000000-2200000000000000
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χ854-4-444-24422-4-4-4-44-20-24-2-2-2002i3−2i3-24-2-2-222-4-42222220000002i3−2i3002i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000000
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χ894-4-444-2-2-222-4-4224-20-2-2111002i3−2i3-2-21112222-1-1-1-1-1-1−232300002i3−2i300−i3i3−i3i3−i3i3000000−23233−33−33−300003i−3i3i−3i3i−3i000000000000000000000000000000000000
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χ924-4-44-24-2-2-4-42222-240-21-2110000-21-21122-1-122-1-1-1-123−2323−2300003-3003-3-33000000−3323−23−33−3323−23−3300−333−3000000000000000000000000000000000000
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χ944-4-44-24-2-2-4-42222-240-21-2110000-21-21122-1-122-1-1-1-1−232323−230000-3300-333-30000003−3−23233−33−323−23−3300−333−3000000000000000000000000000000000000
χ954-4-44-24-2-2-4-42222-240-21-2110000-21-21122-1-122-1-1-1-1−2323−232300003-3003-3-330000003−3−23233−33−3−23233−3003−3−33000000000000000000000000000000000000
χ964-4-44-2-2442222-4-4-2-201-2-21100−2i32i31-2-211-1-12222-1-1-1-10023−2300i3−i300−2i32i3i3−i3i3−i300003i−3i00003i−3i−3i3i−3323−2300−333−3000000000000000000000000000000000000
χ974-4-44-2-2442222-4-4-2-201-2-21100−2i32i31-2-211-1-12222-1-1-1-100−232300i3−i300−2i32i3i3−i3i3−i30000−3i3i0000−3i3i3i−3i3−3−2323003−3−33000000000000000000000000000000000000
χ984-4-44-2-2442222-4-4-2-201-2-211002i3−2i31-2-211-1-12222-1-1-1-10023−2300−i3i3002i3−2i3−i3i3−i3i30000−3i3i0000−3i3i3i−3i−3323−2300−333−3000000000000000000000000000000000000
χ994-4-44-2-2442222-4-4-2-201-2-211002i3−2i31-2-211-1-12222-1-1-1-100−232300−i3i3002i3−2i3−i3i3−i3i300003i−3i00003i−3i−3i3i3−3−2323003−3−33000000000000000000000000000000000000
χ1004-4-44-2-2-2-2222222-2-20111−1−3i32−1+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−ζ11000000000000000000000000000000000000
χ1014-4-44-2-2-2-2222222-2-20111−1−3i32−1+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+ζ11000000000000000000000000000000000000
χ1024-4-44-2-2-2-2222222-2-20111−1−3i32−1+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+ζ11000000000000000000000000000000000000
χ1034-4-44-2-2-2-2222222-2-20111−1−3i32−1+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−ζ11000000000000000000000000000000000000
χ1044-4-44-2-2-2-2222222-2-20111−1+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−ζ7−2ζ11000000000000000000000000000000000000
χ1054-4-44-2-2-2-2222222-2-20111−1+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+2ζ11000000000000000000000000000000000000
χ1064-4-44-2-2-2-2222222-2-20111−1+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+2ζ11000000000000000000000000000000000000
χ1074-4-44-2-2-2-2222222-2-20111−1+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−ζ7−2ζ11000000000000000000000000000000000000
χ10888-8-88-4-44-448-8-44-840-4-4222000044-2-2-2-44-442-222-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-48-448-8-44-444-80-42-42200004-24-2-2-442-2-4422-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-48-8-44-448-84402-4-4220000-244-2-22-2-44-4422-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-44-44-44-44440222−1−3i3−1+3i30000-2-2-21+3i31−3i32-22-22-2−1−3i3−1+3i31+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-4-4-44-44-44-44440222−1+3i3−1−3i30000-2-2-21−3i31+3i32-22-22-2−1+3i3−1−3i31−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-88-4-444-4-884-4-840-4-4222000044-2-2-24-44-4-22-2-2220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-48-44-884-44-44-80-42-42200004-24-2-24-4-224-4-2-2220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8-4-48-84-44-4-884402-4-4220000-244-2-2-224-44-4-2-2220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8-4-4-444-44-44-4440222−1−3i3−1+3i30000-2-2-21+3i31−3i3-22-22-221+3i31−3i3−1−3i3−1+3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-8-4-4-444-44-44-4440222−1+3i3−1−3i30000-2-2-21−3i31+3i3-22-22-221−3i31+3i3−1+3i3−1−3i30000000000000000000000000000000000000000000000000000000000000000000000000000

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