Finite Group Databasebeta

← Group #13178273

Character table — Group #13178273

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222222244444444444444444444444444444888888888888888888888888888888888888181818181818363636363636363636363636363636363636363636727272727272
order1222333666666666233333446666666666666666612121212666666666666121212121212121212121212121212121212121212121212444444224444444661212121212121212121261212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-11-1-1-1-1-111-1-111-1-1-1-1-11-1-11-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11-1-111-1-111-1-1-1-1-1-11-11-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-11-11
χ51111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-11-1-1-1-1-11111111111-1-1-1-1
χ61111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1111-1111-1-1-1-111-1-1-1-1-1111-11
χ71111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1111-1-1-11-1-11111-1-1-1-1-1-11-1-1111
χ81111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-111-11111-1-1-1-11111-1-11-11-1
χ91111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1111-1-1111111-1-1-1-1-1-111
χ101111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-11-111-1-1-1-1-1-1-111-1-1111-1111-1
χ111111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1111-11-1111111-1-1-1-111-11-11-1-1
χ121111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-111-11-1-111-1-1-1-111-1-1111-1-11
χ131111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-111-11-1-1-1-111111111-1-1-1-111-1-1
χ141111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-11-1-1-1111111-1-111-1-1111-1-1-1-11
χ151111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11-1-11111-1-1-1-111-1-1-1-111-111-111
χ161111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111-111-1-1-111-1-1-1-1-1-111-1-111-111-1
χ17222222-12-1222-1-12222-1-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-1-1-1222-122-1-1-1-1-1-1-1-122-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1002200220000200-1-100-1-1000000-10-1000
χ18222222-12-1222-1-12222-1-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-1-1-1222-122-1-1-1-1-1-1-1-122-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-200-2-20000-200110011000000101000
χ19222222-12-1222-1-12222-1-1-1-1-2-2222-1-1-1-122-1-1-1-1-1-1-1-111-2-22-122-1-1-1-1-1-1-1-1-2-21-2-2-211111111-2-2111111110022002-20000-2001100-1-1000000-101000
χ20222222-12-1222-1-12222-1-1-1-1-2-2222-1-1-1-122-1-1-1-1-1-1-1-111-2-22-122-1-1-1-1-1-1-1-1-2-21-2-2-211111111-2-21111111100-2-200-220000200-1-1001100000010-1000
χ21222222-12-1222-1-122-22-1-1-1-12-2-2-22-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-21-2-211111111221-222-1-1-1-1-1-1-1-1-2-211111111002200-220000-200-1-100-1-1000000101000
χ22222222-12-1222-1-122-22-1-1-1-12-2-2-22-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-21-2-211111111221-222-1-1-1-1-1-1-1-1-2-21111111100-2-2002-20000200110011000000-10-1000
χ23222222-12-1222-1-122-22-1-1-1-1-22-2-22-1-1-1-122-1-1-1-1-1-1-1-11122-21-2-211111111-2-2-12-2-21111111122-1-1-1-1-1-1-1-1002200-2-200002001100-1-100000010-1000
χ24222222-12-1222-1-122-22-1-1-1-1-22-2-22-1-1-1-122-1-1-1-1-1-1-1-11122-21-2-211111111-2-2-12-2-21111111122-1-1-1-1-1-1-1-100-2-200220000-200-1-10011000000-101000
χ2522222-12222-1-122-122-12-1-1-12222-12-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-122-1-1-1-1-1-12-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122000000220200000-1-100-1-100000-100-10
χ2622222-12222-1-122-122-12-1-1-12222-12-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-122-1-1-1-1-1-12-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2000000-2-20-2000001100110000010010
χ2722222-12222-1-122-122-12-1-1-1-2-222-12-1-1-1-1-122-1-1-1-1-1-1-2-211-12-1-122-1-1-1-1-1-1-21-2-211-2-211111111-2-211111122000000-2-202000001100-1-100000-10010
χ2822222-12222-1-122-122-12-1-1-1-2-222-12-1-1-1-1-122-1-1-1-1-1-1-2-211-12-1-122-1-1-1-1-1-1-21-2-211-2-211111111-2-2111111-2-2000000220-200000-1-1001100000100-10
χ2922222-12222-1-122-12-2-12-1-1-12-2-2-2-12-1-1-1-1-122-1-1-1-1-1-122111-211-2-21111112-1-2-2-1-122-1-1-1-1-1-111-2-2111111220000002-20-2000001100-1-100000100-10
χ3022222-12222-1-122-12-2-12-1-1-12-2-2-2-12-1-1-1-1-122-1-1-1-1-1-122111-211-2-21111112-1-2-2-1-122-1-1-1-1-1-111-2-2111111-2-2000000-220200000-1-1001100000-10010
χ3122222-12222-1-122-12-2-12-1-1-1-22-2-2-12-1-1-1-1-122-1-1-1-1-1-1-2-2-1-11-211-2-2111111-212211-2-2111111-1-122-1-1-1-1-1-122000000-220-200000-1-100-1-10000010010
χ3222222-12222-1-122-12-2-12-1-1-1-22-2-2-12-1-1-1-1-122-1-1-1-1-1-1-2-2-1-11-211-2-2111111-212211-2-2111111-1-122-1-1-1-1-1-1-2-20000002-2020000011001100000-100-10
χ332222-122-12-122222-12-1-12-1-122-1-1-1-12-1-1-1-1-1-122-1-1-1-1222222-1-1-1-122-1-1-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100002200002002200000000-1-1-1-1000-10-1
χ342222-122-12-122222-12-1-12-1-122-1-1-1-12-1-1-1-1-1-122-1-1-1-1222222-1-1-1-122-1-1-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000-2-20000-200-2-2000000001111000101
χ352222-122-12-122222-12-1-12-1-1-2-2-1-1-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-222-1-1-1-122-1-1-1-11-2-211111-2-211111111-2-211110000220000-2002-200000000-1-1-1-1000101
χ362222-122-12-122222-12-1-12-1-1-2-2-1-1-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-222-1-1-1-122-1-1-1-11-2-211111-2-211111111-2-211110000-2-20000200-22000000001111000-10-1
χ372222-122-12-122222-1-2-1-12-1-12-211-1-12-1-1-1-1-1-122-1-1-1-122-2-2-2-21111-2-21111-12-21-1-1-1-122-1-1-1-11111-2-211110000220000-200-2200000000-1-11100010-1
χ382222-122-12-122222-1-2-1-12-1-12-211-1-12-1-1-1-1-1-122-1-1-1-122-2-2-2-21111-2-21111-12-21-1-1-1-122-1-1-1-11111-2-211110000-2-200002002-20000000011-1-1000-101
χ392222-122-12-122222-1-2-1-12-1-1-2211-1-12-1-1-1-1-1-122-1-1-1-1-2-222-2-21111-2-211111-22-11111-2-21111-1-1-1-122-1-1-1-10000220000200-2-200000000-1-111000-101
χ402222-122-12-122222-1-2-1-12-1-1-2211-1-12-1-1-1-1-1-122-1-1-1-1-2-222-2-21111-2-211111-22-11111-2-21111-1-1-1-122-1-1-1-10000-2-20000-200220000000011-1-100010-1
χ412-22-2222-2-222-22-2-2-20222220000-2-2-2-2-22-22-22-222-2-200000000000000000000000000000000000000002i−2i2-22i−2i00000000000002-22i−2i2i−2i00000000
χ422-22-2222-2-222-22-2-2-20222220000-2-2-2-2-22-22-22-222-2-200000000000000000000000000000000000000002i−2i-22−2i2i0000000000000-222i−2i−2i2i00000000
χ432-22-2222-2-222-22-2-2-20222220000-2-2-2-2-22-22-22-222-2-20000000000000000000000000000000000000000−2i2i2-2−2i2i00000000000002-2−2i2i−2i2i00000000
χ442-22-2222-2-222-22-2-2-20222220000-2-2-2-2-22-22-22-222-2-20000000000000000000000000000000000000000−2i2i-222i−2i0000000000000-22−2i2i2i−2i00000000
χ4544444-2-24-24-2-2-2-2-244-2-21114444-2-2111-2-2-2-2111111-2-2-2-2-2-2-2-2-2-21111114-2-24-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000
χ4644444-2-24-24-2-2-2-2-244-2-2111-4-444-2-2111-2-2-2-21111112222-2-2-2-2-2-2111111-422-42222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000
χ4744444-2-24-24-2-2-2-2-24-4-2-21114-4-4-4-2-2111-2-2-2-2111111-2-222222222-1-1-1-1-1-14-22-4-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000
χ4844444-2-24-24-2-2-2-2-24-4-2-2111-44-4-4-2-2111-2-2-2-211111122-2-2222222-1-1-1-1-1-1-42-242222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000
χ494444-24-2-2-2-244-2-24-24-21-21144-2-2-21-211-2-211-2-21111-2-2444-2-2-211-2-21111-24-2-2-2-211-2-21111-2-211-2-21111000000000000000000000000000000000
χ504444-24-2-2-2-244-2-24-24-21-211-4-4-2-2-21-211-2-211-2-2111122-4-44-2-2-211-2-211112-42222-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000
χ514444-24-2-2-2-244-2-24-2-4-21-2114-422-21-211-2-211-2-21111-2-2-4-4-4222-1-122-1-1-1-1-2422-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000
χ524444-24-2-2-2-244-2-24-2-4-21-211-4422-21-211-2-211-2-211112244-4222-1-122-1-1-1-12-4-2-222-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000
χ534444-2-24-24-2-2-244-2-241-2-21144-2-21-2-21111-2-2-2-2111144-2-2-2411-2-2-2-21111-2-24-211-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000
χ544444-2-24-24-2-2-244-2-241-2-211-4-4-2-21-2-21111-2-2-2-21111-4-422-2411-2-2-2-2111122-42-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000
χ554444-2-24-24-2-2-244-2-2-41-2-2114-4221-2-21111-2-2-2-2111144222-4-1-12222-1-1-1-1-2-2-4211-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000
χ564444-2-24-24-2-2-244-2-2-41-2-211-44221-2-21111-2-2-2-21111-4-4-2-22-4-1-12222-1-1-1-1224-2-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000
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
χ6544-4-444444-4-4-4-4-44-4044444000044444-4-4-4-4-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000
χ6644-4-444-24-2-4-4-4224-404-2-2-2-200004-2-2-2-2-4-42222222223−230000000000000000000023−2323−2323−2323−230000000000000000000000000000000000000000000
χ6744-4-444-24-2-4-4-4224-404-2-2-2-200004-2-2-2-2-4-422222222−232300000000000000000000−2323−2323−2323−23230000000000000000000000000000000000000000000
χ6844-4-44-2444-422-4-4-2-40-24-2-2-20000-24-2-2-222-4-42222220023−230000000000000000000000000023−230023−2323−2323−23000000000000000000000000000000000
χ6944-4-44-2444-422-4-4-2-40-24-2-2-20000-24-2-2-222-4-422222200−232300000000000000000000000000−232300−2323−2323−2323000000000000000000000000000000000
χ7044-4-44-2-24-2-42222-2-40-2-21110000-2-21112222-1-1-1-1-1-123−2323−230000003-33-33-300000023−23−33−33−3323−2300−33−33−33000000000000000000000000000000000
χ7144-4-44-2-24-2-42222-2-40-2-21110000-2-21112222-1-1-1-1-1-123−23−2323000000-33-33-3300000023−23−33−33−33−2323003−33−33−3000000000000000000000000000000000
χ7244-4-44-2-24-2-42222-2-40-2-21110000-2-21112222-1-1-1-1-1-1−232323−23000000-33-33-33000000−23233−33−33−323−2300−33−33−33000000000000000000000000000000000
χ7344-4-44-2-24-2-42222-2-40-2-21110000-2-21112222-1-1-1-1-1-1−2323−23230000003-33-33-3000000−23233−33−33−3−2323003−33−33−3000000000000000000000000000000000
χ7444-4-4-244-242-4-4-4-4420-2-24-2-200−2i32i3-2-24-2-22222-4-42222000000−2i32i3−2i32i300−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000000
χ7544-4-4-244-242-4-4-4-4420-2-24-2-2002i3−2i3-2-24-2-22222-4-422220000002i3−2i32i3−2i3002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000000
χ7644-4-4-24-2-2-22-4-422420-21-21100−2i32i3-21-21122-1-122-1-1-1-123−230000−2i32i3i3−i300i3−i3−i3i3000000−3323−23−33−33003i−3i003i−3i−3i3i000000000000000000000000000000000
χ7744-4-4-24-2-2-22-4-422420-21-21100−2i32i3-21-21122-1-122-1-1-1-1−23230000−2i32i3i3−i300i3−i3−i3i30000003−3−23233−33−300−3i3i00−3i3i3i−3i000000000000000000000000000000000
χ7844-4-4-24-2-2-22-4-422420-21-211002i3−2i3-21-21122-1-122-1-1-1-123−2300002i3−2i3−i3i300−i3i3i3−i3000000−3323−23−33−3300−3i3i00−3i3i3i−3i000000000000000000000000000000000
χ7944-4-4-24-2-2-22-4-422420-21-211002i3−2i3-21-21122-1-122-1-1-1-1−232300002i3−2i3−i3i300−i3i3i3−i30000003−3−23233−33−3003i−3i003i−3i−3i3i000000000000000000000000000000000
χ8044-4-4-2-24-24222-4-4-2201-2-21100−2i32i31-2-211-1-12222-1-1-1-10023−2300i3−i3−2i32i300i3−i3−i3i300003i−3i00003i−3i−3i3i−330023−23−33−33000000000000000000000000000000000
χ8144-4-4-2-24-24222-4-4-2201-2-21100−2i32i31-2-211-1-12222-1-1-1-100−232300i3−i3−2i32i300i3−i3−i3i30000−3i3i0000−3i3i3i−3i3−300−23233−33−3000000000000000000000000000000000
χ8244-4-4-2-24-24222-4-4-2201-2-211002i3−2i31-2-211-1-12222-1-1-1-10023−2300−i3i32i3−2i300−i3i3i3−i30000−3i3i0000−3i3i3i−3i−330023−23−33−33000000000000000000000000000000000
χ8344-4-4-2-24-24222-4-4-2201-2-211002i3−2i31-2-211-1-12222-1-1-1-100−232300−i3i32i3−2i300−i3i3i3−i300003i−3i00003i−3i−3i3i3−300−23233−33−3000000000000000000000000000000000
χ8444-4-4-2-2-2-2-222222-220111−1−3i32−1+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−i3200003i−3i−33−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−333i−3i−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000000000000000000
χ8544-4-4-2-2-2-2-222222-220111−1−3i32−1+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−i320000−3i3i3−33−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ113−3−3i3i3−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000000000000000000000000000
χ8644-4-4-2-2-2-2-222222-220111−1−3i32−1+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+i3200003i−3i−33−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ113−3−3i3i3−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000000000000000000000000000
χ8744-4-4-2-2-2-2-222222-220111−1−3i32−1+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+i320000−3i3i3−33−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11−333i−3i−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000000000000000000
χ8844-4-4-2-2-2-2-222222-220111−1+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−i320000−3i3i−33−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ113−33i−3i3−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000000000000000000000
χ8944-4-4-2-2-2-2-222222-220111−1+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−i3200003i−3i3−33−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−33−3i3i−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000000000000000000000
χ9044-4-4-2-2-2-2-222222-220111−1+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+i320000−3i3i−33−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11−33−3i3i−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000000000000000000000
χ9144-4-4-2-2-2-2-222222-220111−1+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+i3200003i−3i3−33−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ113−33i−3i3−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000000000000000000000
χ924-44-444-2-4244-4-22-4-404-2-2-2-20000-422224-4-22-22-2-2220000000000000000000000000000000000000000004-4000000000000000-22000000000000
χ934-44-444-2-4244-4-22-4-404-2-2-2-20000-422224-4-22-22-2-222000000000000000000000000000000000000000000-440000000000000002-2000000000000
χ944-44-44-24-4-44-224-42-40-24-2-2-200002-4222-224-4-22-2-22200000000000000000000000000000000000000004i−4i0000000000000000000−2i2i0000000000
χ954-44-44-24-4-44-224-42-40-24-2-2-200002-4222-224-4-22-2-2220000000000000000000000000000000000000000−4i4i00000000000000000002i−2i0000000000
χ964-44-4-2442-4-24-44-4-420-2-24-2-2000022-422-22-224-4-2-222000000000000000000000000000000000000000000004i−4i00000000000000000−2i2i00000000
χ974-44-4-2442-4-24-44-4-420-2-24-2-2000022-422-22-224-4-2-22200000000000000000000000000000000000000000000−4i4i000000000000000002i−2i00000000
χ984-4-44444-4-4-4-44-44-440444440000-4-4-4-4-4-44-44-44-4-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ994-4-4444-2-42-4-442-2-4404-2-2-2-20000-42222-442-22-222-2-20000000000000000000000000000000000000000000000000000000−2i32i30000000000000000
χ1004-4-4444-2-42-4-442-2-4404-2-2-2-20000-42222-442-22-222-2-200000000000000000000000000000000000000000000000000000002i3−2i30000000000000000
χ1014-4-444-24-4-4-42-2-44240-24-2-2-200002-42222-2-442-222-2-200000000000000000000000000000000000000000000000000000000023−2300000000000000
χ1024-4-444-24-4-4-42-2-44240-24-2-2-200002-42222-2-442-222-2-2000000000000000000000000000000000000000000000000000000000−232300000000000000
χ1034-4-44-2442-42-44-44-4-20-2-24-2-2000022-4222-22-2-4422-2-200000000000000000000000000000000000000000000000000000000000000000−2i32i3000000
χ1044-4-44-2442-42-44-44-4-20-2-24-2-2000022-4222-22-2-4422-2-2000000000000000000000000000000000000000000000000000000000000000002i3−2i3000000
χ1058-88-88-4-4-848-44-444-80-4-4222000044-2-2-2-44-442-222-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-48-444-48-8-44-840-42-42200004-24-2-2-442-2-4422-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-484-8-4-448-84402-4-4220000-244-2-22-2-44-4422-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-444-4-44-44440222−1−3i3−1+3i30000-2-2-21+3i31−3i32-22-22-2−1−3i3−1+3i31+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-444-4-44-44440222−1+3i3−1−3i30000-2-2-21−3i31+3i32-22-22-2−1+3i3−1−3i31−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-4-4-84-84-44-4480-4-4222000044-2-2-24-44-4-22-2-2220000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-4444-884-4-8-40-42-42200004-24-2-24-4-224-4-2-2220000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-484-844-4-884-402-4-4220000-244-2-2-224-44-4-2-2220000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-44444-44-44-40222−1−3i3−1+3i30000-2-2-21+3i31−3i3-22-22-221+3i31−3i3−1−3i3−1+3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-44444-44-44-40222−1+3i3−1−3i30000-2-2-21−3i31+3i3-22-22-221−3i31+3i3−1+3i3−1−3i30000000000000000000000000000000000000000000000000000000000000000000000000

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