Finite Group Databasebeta

← Group #13178277

Character table — Group #13178277

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222222244444444444444444444444444444888888888888888888888888888888888888181818181818363636363636363636363636363636363636363636727272727272
order1222333666666666233333446666666666666666612121212666666666666121212121212121212121212121212121212121212121212444444444444444121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-11-1-1-111-1-111-1-1-1-1-1-11-1-11-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11-1-1-11-11-1-1-1-111-1-111-1-1-1-1-11-1-11-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-11-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1-11
χ51111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1-1-1-11-111-1-1-1-1111111-11-11-1-1
χ61111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-11-11-111111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11-1-11-1-1-1-11111-1-1-1-1111-1-11
χ81111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-1-11111-1-111111-1-1-11-1
χ91111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-11-1-1-111-1-11111-1-11111-1-11-11-1-1-1
χ101111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-111-11111-1-1-1-1-1-1-1-11111-1-111
χ111111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-1111111-1-111-1-1-11-11
χ121111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-111-1-1-11111-1
χ131111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-111-1-1-1111-1-1111111-1-1-1-1-1-111
χ141111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-11-1-111-1111111-1-1-1-111-111-1-1-1
χ151111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-111-111-11-1-1-1-1-1-1-111-1-1111-1111-1
χ161111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-11-1-111-11-1-111-1-1-1-111-1-111-11-11
χ17222222-12222-1-12-1222-1-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-122-1-12-122-1-1-1-1-1-1-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1220000002202000-1-100-1-1000000-100-100
χ18222222-12222-1-12-1222-1-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-122-1-12-122-1-1-1-1-1-1-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2000000-2-20-2000110011000000100100
χ19222222-12222-1-12-1222-1-1-1-1-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-2-2112-122-1-1-1-1-1-1-1-1-21-2-2-2-211111111-2-211111111220000002-20-2000-1-10011000000100-100
χ20222222-12222-1-12-1222-1-1-1-1-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-2-2112-122-1-1-1-1-1-1-1-1-21-2-2-2-211111111-2-211111111-2-2000000-22020001100-1-1000000-100100
χ21222222-12222-1-12-12-22-1-1-1-12-2-2-22-1-1-1-122-1-1-1-1-1-1-1-12211-21-2-2111111112-1-2-222-1-1-1-1-1-1-1-1-2-21111111122000000-2-202000-1-10011000000-100100
χ22222222-12222-1-12-12-22-1-1-1-12-2-2-22-1-1-1-122-1-1-1-1-1-1-1-12211-21-2-2111111112-1-2-222-1-1-1-1-1-1-1-1-2-211111111-2-2000000220-20001100-1-1000000100-100
χ23222222-12222-1-12-12-22-1-1-1-1-22-2-22-1-1-1-122-1-1-1-1-1-1-1-1-2-2-1-1-21-2-211111111-2122-2-21111111122-1-1-1-1-1-1-1-122000000-220-2000-1-100-1-1000000100100
χ24222222-12222-1-12-12-22-1-1-1-1-22-2-22-1-1-1-122-1-1-1-1-1-1-1-1-2-2-1-1-21-2-211111111-2122-2-21111111122-1-1-1-1-1-1-1-1-2-20000002-202000110011000000-100-100
χ2522222-1222-1-122-1222-12-1-1-12222-12-1-1-1-1-122-1-1-1-1-1-1-1-122-12-1-122-1-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100220020002020000-1-100-1-100000-100-10
χ2622222-1222-1-122-1222-12-1-1-12222-12-1-1-1-1-122-1-1-1-1-1-1-1-122-12-1-122-1-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-200-2000-20-200001100110000010010
χ2722222-1222-1-122-1222-12-1-1-1-2-222-12-1-1-1-1-122-1-1-1-1-1-111-2-2-12-1-122-1-1-1-1-1-1-2-21-211-2-211111111-2-21111110022002000-20-200001100-1-100000-10010
χ2822222-1222-1-122-1222-12-1-1-1-2-222-12-1-1-1-1-122-1-1-1-1-1-111-2-2-12-1-122-1-1-1-1-1-1-2-21-211-2-211111111-2-211111100-2-200-20002020000-1-1001100000100-10
χ2922222-1222-1-122-122-2-12-1-1-12-2-2-2-12-1-1-1-1-122-1-1-1-1-1-1-1-1-2-21-211-2-2111111221-2-1-122-1-1-1-1-1-111-2-2111111002200-2000-2020000-1-100-1-10000010010
χ3022222-1222-1-122-122-2-12-1-1-12-2-2-2-12-1-1-1-1-122-1-1-1-1-1-1-1-1-2-21-211-2-2111111221-2-1-122-1-1-1-1-1-111-2-211111100-2-200200020-2000011001100000-100-10
χ3122222-1222-1-122-122-2-12-1-1-1-22-2-2-12-1-1-1-1-122-1-1-1-1-1-111221-211-2-2111111-2-2-1211-2-2111111-1-122-1-1-1-1-1-1002200-200020-200001100-1-100000100-10
χ3222222-1222-1-122-122-2-12-1-1-1-22-2-2-12-1-1-1-1-122-1-1-1-1-1-111221-211-2-2111111-2-2-1211-2-2111111-1-122-1-1-1-1-1-100-2-2002000-2020000-1-1001100000-10010
χ332222-122-1-1222222-12-1-12-1-122-1-1-1-12-1-1-1-1-1-122-1-1-1-1222222-1-1-1-122-1-1-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100002202000002200000000-1-1-1-100-100-1
χ342222-122-1-1222222-12-1-12-1-122-1-1-1-12-1-1-1-1-1-122-1-1-1-1222222-1-1-1-122-1-1-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000-2-20-200000-2-2000000001111001001
χ352222-122-1-1222222-12-1-12-1-1-2-2-1-1-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-222-1-1-1-122-1-1-1-11-2-211111-2-211111111-2-211110000220-2000002-200000000-1-1-1-1001001
χ362222-122-1-1222222-12-1-12-1-1-2-2-1-1-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-222-1-1-1-122-1-1-1-11-2-211111-2-211111111-2-211110000-2-20200000-2200000000111100-100-1
χ372222-122-1-1222222-1-2-1-12-1-12-211-1-12-1-1-1-1-1-122-1-1-1-122-2-2-2-21111-2-21111-12-21-1-1-1-122-1-1-1-11111-2-211110000220200000-2-200000000-1-11100-1001
χ382222-122-1-1222222-1-2-1-12-1-12-211-1-12-1-1-1-1-1-122-1-1-1-122-2-2-2-21111-2-21111-12-21-1-1-1-122-1-1-1-11111-2-211110000-2-20-200000220000000011-1-100100-1
χ392222-122-1-1222222-1-2-1-12-1-1-2211-1-12-1-1-1-1-1-122-1-1-1-1-2-222-2-21111-2-211111-22-11111-2-21111-1-1-1-122-1-1-1-10000220-200000-2200000000-1-11100100-1
χ402222-122-1-1222222-1-2-1-12-1-1-2211-1-12-1-1-1-1-1-122-1-1-1-1-2-222-2-21111-2-211111-22-11111-2-21111-1-1-1-122-1-1-1-10000-2-202000002-20000000011-1-100-1001
χ412-2-22222-2-22-22-2-2-220222220000-2-2-2-2-22-22-22-222-2-200000000000000000000000000000000000000002i−2i2i−2i2-20000000002i−2i00002i−2i2-200000000
χ422-2-22222-2-22-22-2-2-220222220000-2-2-2-2-22-22-22-222-2-200000000000000000000000000000000000000002i−2i−2i2i-220000000002i−2i0000−2i2i-2200000000
χ432-2-22222-2-22-22-2-2-220222220000-2-2-2-2-22-22-22-222-2-20000000000000000000000000000000000000000−2i2i2i−2i-22000000000−2i2i00002i−2i-2200000000
χ442-2-22222-2-22-22-2-2-220222220000-2-2-2-2-22-22-22-222-2-20000000000000000000000000000000000000000−2i2i−2i2i2-2000000000−2i2i0000−2i2i2-200000000
χ4544444-2-244-2-2-2-2-2-244-2-21114444-2-2111-2-2-2-2111111-2-2-2-2-2-2-2-2-2-21111114-2-24-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000
χ4644444-2-244-2-2-2-2-2-244-2-2111-4-444-2-2111-2-2-2-21111112222-2-2-2-2-2-2111111-422-42222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000
χ4744444-2-244-2-2-2-2-2-24-4-2-21114-4-4-4-2-2111-2-2-2-2111111-2-222222222-1-1-1-1-1-14-22-4-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000
χ4844444-2-244-2-2-2-2-2-24-4-2-2111-44-4-4-2-2111-2-2-2-211111122-2-2222222-1-1-1-1-1-1-42-242222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000
χ494444-24-2-2-244-2-24-2-24-21-21144-2-2-21-211-2-211-2-2111144-2-24-2-2-211-2-21111-2-24-2-2-211-2-21111-2-211-2-21111000000000000000000000000000000000
χ504444-24-2-2-244-2-24-2-24-21-211-4-4-2-2-21-211-2-211-2-21111-4-4224-2-2-211-2-2111122-4222-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000
χ514444-24-2-2-244-2-24-2-2-4-21-2114-422-21-211-2-211-2-211114422-4222-1-122-1-1-1-1-2-2-42-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000
χ524444-24-2-2-244-2-24-2-2-4-21-211-4422-21-211-2-211-2-21111-4-4-2-2-4222-1-122-1-1-1-1224-222-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000
χ534444-2-24-2-2-2-244-24-241-2-21144-2-21-2-21111-2-2-2-21111-2-244-2411-2-2-2-21111-24-2-211-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000
χ544444-2-24-2-2-2-244-24-241-2-211-4-4-2-21-2-21111-2-2-2-2111122-4-4-2411-2-2-2-211112-422-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000
χ554444-2-24-2-2-2-244-24-2-41-2-2114-4221-2-21111-2-2-2-21111-2-2-4-42-4-1-12222-1-1-1-1-242211-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000
χ564444-2-24-2-2-2-244-24-2-41-2-211-44221-2-21111-2-2-2-2111122442-4-1-12222-1-1-1-12-4-2-2-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000
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+3i321−3i321−3i32-2-222111111−1−3i32−1−3i32−1+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+3i321−3i321−3i3222-2-2-1-1-1-1-1-11+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+3i32-2-222111111−1+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+3i3222-2-2-1-1-1-1-1-11−3i321−3i321+3i321+3i32111111−1+3i32−1+3i32−1−3i32−1−3i32000000000000000000000000000000000
χ6544-4-4444-44-44-44-4-4-40444440000-4-4-4-4-4-44-44-44-4-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ6644-4-444-2-44-442-2-42-404-2-2-2-20000-42222-442-22-222-2-20000000000000000000000000000000000000000000000000000000000023−23000000000000
χ6744-4-444-2-44-442-2-42-404-2-2-2-20000-42222-442-22-222-2-200000000000000000000000000000000000000000000000000000000000−2323000000000000
χ6844-4-44-24-442-2-442-4-40-24-2-2-200002-42222-2-442-222-2-200000000000000000000000000000000000000000000000000000000023−2300000000000000
χ6944-4-44-24-442-2-442-4-40-24-2-2-200002-42222-2-442-222-2-2000000000000000000000000000000000000000000000000000000000−232300000000000000
χ7044-4-4-2442-2-44-44-4-420-2-24-2-2000022-4222-22-2-4422-2-20000000000000000000000000000000000000000000000000000000000000000023−23000000
χ7144-4-4-2442-2-44-44-4-420-2-24-2-2000022-4222-22-2-4422-2-200000000000000000000000000000000000000000000000000000000000000000−2323000000
χ724-44-44444-4-4-4-4-444-4044444000044444-4-4-4-4-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000
χ734-44-444-24-4-4-4224-2-404-2-2-2-200004-2-2-2-2-4-4222222220023−23000000000000000000000000000023−2323−2323−2323−23000000000000000000000000000000000
χ744-44-444-24-4-4-4224-2-404-2-2-2-200004-2-2-2-2-4-42222222200−23230000000000000000000000000000−2323−2323−2323−2323000000000000000000000000000000000
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χ764-44-44-244-422-4-4-24-40-24-2-2-20000-24-2-2-222-4-4222222−2323000000000000000000−232300−2323−2323−23230000000000000000000000000000000000000000000
χ774-44-44-2-24-42222-2-2-40-2-21110000-2-21112222-1-1-1-1-1-123−2323−230000003-33-33-3000023−2300−33−33−330023−23−33−33−33000000000000000000000000000000000
χ784-44-44-2-24-42222-2-2-40-2-21110000-2-21112222-1-1-1-1-1-123−23−2323000000-33-33-33000023−2300−33−33−3300−23233−33−33−3000000000000000000000000000000000
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χ814-44-4-244-22-4-4-4-44420-2-24-2-200−2i32i3-2-24-2-22222-4-42222000000−2i32i3−2i32i300−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000000
χ824-44-4-244-22-4-4-4-44420-2-24-2-2002i3−2i3-2-24-2-22222-4-422220000002i3−2i32i3−2i3002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000000
χ834-44-4-24-2-22-4-4224-220-21-21100−2i32i3-21-21122-1-122-1-1-1-10023−2300−2i32i3i3−i300i3−i3−i3i30000003i−3i003i−3i−3i3i00−3323−23−33−33000000000000000000000000000000000
χ844-44-4-24-2-22-4-4224-220-21-21100−2i32i3-21-21122-1-122-1-1-1-100−232300−2i32i3i3−i300i3−i3−i3i3000000−3i3i00−3i3i3i−3i003−3−23233−33−3000000000000000000000000000000000
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χ864-44-4-24-2-22-4-4224-220-21-211002i3−2i3-21-21122-1-122-1-1-1-100−2323002i3−2i3−i3i300−i3i3i3−i30000003i−3i003i−3i−3i3i003−3−23233−33−3000000000000000000000000000000000
χ874-44-4-2-24-2222-4-4-24201-2-21100−2i32i31-2-211-1-12222-1-1-1-123−230000i3−i3−2i32i300i3−i3−i3i30000−330023−23−33−333i−3i00003i−3i−3i3i000000000000000000000000000000000
χ884-44-4-2-24-2222-4-4-24201-2-21100−2i32i31-2-211-1-12222-1-1-1-1−23230000i3−i3−2i32i300i3−i3−i3i300003−300−23233−33−3−3i3i0000−3i3i3i−3i000000000000000000000000000000000
χ894-44-4-2-24-2222-4-4-24201-2-211002i3−2i31-2-211-1-12222-1-1-1-123−230000−i3i32i3−2i300−i3i3i3−i30000−330023−23−33−33−3i3i0000−3i3i3i−3i000000000000000000000000000000000
χ904-44-4-2-24-2222-4-4-24201-2-211002i3−2i31-2-211-1-12222-1-1-1-1−23230000−i3i32i3−2i300−i3i3i3−i300003−300−23233−33−33i−3i00003i−3i−3i3i000000000000000000000000000000000
χ914-44-4-2-2-2-222222-2-220111−1−3i32−1+3i3200−2i32i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i3223−2323−2300i3−i3i3−i33-3−3−i323+i32−3+i323−i320000−333i−3i−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ113i−3i−33−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000000000000000000
χ924-44-4-2-2-2-222222-2-220111−1−3i32−1+3i3200−2i32i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32−2323−232300i3−i3i3−i33-3−3−i323+i32−3+i323−i3200003−3−3i3i3−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11−3i3i3−33−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000000000000000000000000000
χ934-44-4-2-2-2-222222-2-220111−1−3i32−1+3i32002i3−2i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i3223−23−232300−i3i3−i3i3-333+i32−3−i323−i32−3+i320000−333i−3i−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−3i3i3−33−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000000000000000000000000000
χ944-44-4-2-2-2-222222-2-220111−1−3i32−1+3i32002i3−2i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32−232323−2300−i3i3−i3i3-333+i32−3−i323−i32−3+i3200003−3−3i3i3−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ113i−3i−33−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000000000000000000
χ954-44-4-2-2-2-222222-2-220111−1+3i32−1−3i3200−2i32i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i3223−23−232300i3−i3i3−i3-333−i32−3+i323+i32−3−i320000−33−3i3i−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ113i−3i3−33−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000000000000000000000
χ964-44-4-2-2-2-222222-2-220111−1+3i32−1−3i3200−2i32i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32−232323−2300i3−i3i3−i3-333−i32−3+i323+i32−3−i3200003−33i−3i3−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−3i3i−33−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000000000000000000000
χ974-44-4-2-2-2-222222-2-220111−1+3i32−1−3i32002i3−2i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i3223−2323−2300−i3i3−i3i33-3−3+i323−i32−3−i323+i320000−33−3i3i−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11−3i3i−33−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000000000000000000000
χ984-44-4-2-2-2-222222-2-220111−1+3i32−1−3i32002i3−2i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32−2323−232300−i3i3−i3i33-3−3+i323−i32−3−i323+i3200003−33i−3i3−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ113i−3i3−33−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000000000000000000000
χ994-4-4444-2-4-44-4-22-42404-2-2-2-20000-422224-4-22-22-2-22200000000000000000000000000000000000000004i−4i0000000000000−2i2i0000000000000000
χ1004-4-4444-2-4-44-4-22-42404-2-2-2-20000-422224-4-22-22-2-2220000000000000000000000000000000000000000−4i4i00000000000002i−2i0000000000000000
χ1014-4-444-24-4-4-224-42-440-24-2-2-200002-4222-224-4-22-2-2220000000000000000000000000000000000000000004i−4i00000000000000000−2i2i0000000000
χ1024-4-444-24-4-4-224-42-440-24-2-2-200002-4222-224-4-22-2-222000000000000000000000000000000000000000000−4i4i000000000000000002i−2i0000000000
χ1034-4-44-244224-44-4-4-4-20-2-24-2-2000022-422-22-224-4-2-222000000000000000000000000000000000000000000004-400000000000000000-2200000000
χ1044-4-44-244224-44-4-4-4-20-2-24-2-2000022-422-22-224-4-2-22200000000000000000000000000000000000000000000-44000000000000000002-200000000
χ10588-8-88-4-4-884-44-444-80-4-4222000044-2-2-24-44-4-22-2-2220000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-48-44-4-884-4-8440-42-42200004-24-2-24-4-224-4-2-2220000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-484-44-4-884-8402-4-4220000-244-2-2-224-44-4-2-2220000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-44-44-44-44440222−1−3i3−1+3i30000-2-2-21+3i31−3i3-22-22-221+3i31−3i3−1−3i3−1+3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-44-44-44-44440222−1+3i3−1−3i30000-2-2-21−3i31+3i3-22-22-221−3i31+3i3−1+3i3−1−3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-4-4-8-8-44-444480-4-4222000044-2-2-2-44-442-222-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-4448-8-44-84-40-42-42200004-24-2-2-442-2-4422-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-4844-448-84-8-402-4-4220000-244-2-22-2-44-4422-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-444-44-4444-40222−1−3i3−1+3i30000-2-2-21+3i31−3i32-22-22-2−1−3i3−1+3i31+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-444-44-4444-40222−1+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.