Finite Group Databasebeta

← Group #13178252

Character table — Group #13178252

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222222244444444444444444444444444444888888888888888888888888888888888888181818181818363636363636363636363636363636363636363636727272727272
order122233366666666623333344666666666666666661212121266666666666612121212121212121212121212121212121212121212121222444422244444466666612121212121261212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-11-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11-11-11-1-111-1-1-1-1-1-1-1-111-1-11-1-11
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-1
χ51111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1111111-1-111-1-11-11-1
χ61111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1111-1-1-11111111-1-111-1-1-1-1-11-11
χ71111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11-111-11-1-1-1-1-1-1-1-111111111-1-1
χ81111111111111111111111-1-111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-11-111-1-1-1-111-1-1-1-111-1-111
χ91111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-11-1-11-1-1-11-1-111-1-11111111-1-1-1-11
χ101111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111-11111-1-1-1-1-1-1-1-11-1111-1
χ111111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1111-11-1-1-1-1-111-1-1-1-111-11-1111
χ121111111111111111-1111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-111-1111-1-1111111-1-1-111-1-1-1
χ131111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-11-1-1-11111-1-111-1-111-11-11-1-1
χ141111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-111-1-1-111-111
χ151111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1111-1-1-1-11111-1-111-1-111111-1-1-11-1
χ161111111111111111-111111-11-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-111-11-1-1-1-1-1-11111-1-1-1-11-111-11
χ17222222-12-1-12-1222222-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122000022000200000-1-1-1-1000000-1-10000
χ18222222-12-1-12-1222222-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-20000-2-2000-2000001111000000110000
χ19222222-12-1-12-1222222-1-1-1-1-2-2-1-12-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-211-2-2-211111111-2-2111111112200002-2000-200000-1-1-1-1000000110000
χ20222222-12-1-12-1222222-1-1-1-1-2-2-1-12-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-211-2-2-211111111-2-211111111-2-20000-220002000001111000000-1-10000
χ21222222-12-1-12-12222-22-1-1-1-12-2112-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2-2-2111111112-11-222-1-1-1-1-1-1-1-1-2-211111111220000-22000-200000-1-111000000-110000
χ22222222-12-1-12-12222-22-1-1-1-12-2112-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2-2-2111111112-11-222-1-1-1-1-1-1-1-1-2-211111111-2-200002-200020000011-1-10000001-10000
χ23222222-12-1-12-12222-22-1-1-1-1-22112-1-1-1-122-1-1-1-1-1-1-1-1-2-222-2-2-2-211111111-21-12-2-21111111122-1-1-1-1-1-1-1-1220000-2-2000200000-1-1110000001-10000
χ24222222-12-1-12-12222-22-1-1-1-1-22112-1-1-1-122-1-1-1-1-1-1-1-1-2-222-2-2-2-211111111-21-12-2-21111111122-1-1-1-1-1-1-1-1-2-2000022000-20000011-1-1000000-110000
χ2522222-12-122-12222-12-12-1-1-12222-12-1-1-1-1-122-1-1-1-1-1-122-1-12-1-1-122-1-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1002200002020200-1-100000000-1-100-100-1
χ2622222-12-122-12222-12-12-1-1-12222-12-1-1-1-1-122-1-1-1-1-1-122-1-12-1-1-122-1-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-20000-20-20-200110000000011001001
χ2722222-12-122-12222-12-12-1-1-1-2-222-12-1-1-1-1-122-1-1-1-1-1-1-2-2112-1-1-122-1-1-1-1-1-11-2-2-211-2-211111111-2-211111100220000-20-202001100000000-1-100-1001
χ2822222-12-122-12222-12-12-1-1-1-2-222-12-1-1-1-1-122-1-1-1-1-1-1-2-2112-1-1-122-1-1-1-1-1-11-2-2-211-2-211111111-2-211111100-2-200002020-200-1-1000000001100100-1
χ2922222-12-122-12222-1-2-12-1-1-12-2-2-2-12-1-1-1-1-122-1-1-1-1-1-12211-2111-2-2111111-12-2-2-1-122-1-1-1-1-1-111-2-211111100220000-2020-2001100000000-1-100100-1
χ3022222-12-122-12222-1-2-12-1-1-12-2-2-2-12-1-1-1-1-122-1-1-1-1-1-12211-2111-2-2111111-12-2-2-1-122-1-1-1-1-1-111-2-211111100-2-2000020-20200-1-1000000001100-1001
χ3122222-12-122-12222-1-2-12-1-1-1-22-2-2-12-1-1-1-1-122-1-1-1-1-1-1-2-2-1-1-2111-2-21111111-22211-2-2111111-1-122-1-1-1-1-1-10022000020-20-200-1-100000000-1-1001001
χ3222222-12-122-12222-1-2-12-1-1-1-22-2-2-12-1-1-1-1-122-1-1-1-1-1-1-2-2-1-1-2111-2-21111111-22211-2-2111111-1-122-1-1-1-1-1-100-2-20000-202020011000000001100-100-1
χ332222-12222222-1-1-122-1-12-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-1-122-12-1-1-1-122-1-1-1-1222-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000022000200022000000-1-1-1-100000-1-10
χ342222-12222222-1-1-122-1-12-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-1-122-12-1-1-1-122-1-1-1-1222-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000-2-2000-2000-2-2000000111100000110
χ352222-12222222-1-1-122-1-12-1-1-2-222-1-12-1-1-1-1-1-122-1-1-1-111-2-2-12-1-1-1-122-1-1-1-1-2-2-211111-2-211111111-2-21111000022000-20002-2000000-1-111000001-10
χ362222-12222222-1-1-122-1-12-1-1-2-222-1-12-1-1-1-1-1-122-1-1-1-111-2-2-12-1-1-1-122-1-1-1-1-2-2-211111-2-211111111-2-211110000-2-20002000-2200000011-1-100000-110
χ372222-12222222-1-1-12-2-1-12-1-12-2-2-2-1-12-1-1-1-1-1-122-1-1-1-1-1-1-2-21-21111-2-2111122-21-1-1-1-122-1-1-1-11111-2-21111000022000-2000-22000000-1-1-1-100000110
χ382222-12222222-1-1-12-2-1-12-1-12-2-2-2-1-12-1-1-1-1-1-122-1-1-1-1-1-1-2-21-21111-2-2111122-21-1-1-1-122-1-1-1-11111-2-211110000-2-200020002-2000000111100000-1-10
χ392222-12222222-1-1-12-2-1-12-1-1-22-2-2-1-12-1-1-1-1-1-122-1-1-1-111221-21111-2-21111-2-22-11111-2-21111-1-1-1-122-1-1-1-10000220002000-2-2000000-1-11100000-110
χ402222-12222222-1-1-12-2-1-12-1-1-22-2-2-1-12-1-1-1-1-1-122-1-1-1-111221-21111-2-21111-2-22-11111-2-21111-1-1-1-122-1-1-1-10000-2-2000-20002200000011-1-1000001-10
χ4122-2-222222-2-2-22-2-2-20222220000-2-2-2-2-22-22-22-222-2-200000000000000000000000000000000000000002-22i−2i2i−2i000000000002-2002i−2i002i−2i000000
χ4222-2-222222-2-2-22-2-2-20222220000-2-2-2-2-22-22-22-222-2-200000000000000000000000000000000000000002-2−2i2i−2i2i000000000002-200−2i2i00−2i2i000000
χ4322-2-222222-2-2-22-2-2-20222220000-2-2-2-2-22-22-22-222-2-20000000000000000000000000000000000000000-222i−2i−2i2i00000000000-2200−2i2i002i−2i000000
χ4422-2-222222-2-2-22-2-2-20222220000-2-2-2-2-22-22-22-222-2-20000000000000000000000000000000000000000-22−2i2i2i−2i00000000000-22002i−2i00−2i2i000000
χ4544444-2-2-2-2-2-2-2444-24-2-211144-2-2-2-2111-2-2-2-211111144-2-24-2-2-2-2-2111111-2-2-24-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000
χ4644444-2-2-2-2-2-2-2444-24-2-2111-4-4-2-2-2-2111-2-2-2-2111111-4-4224-2-2-2-2-2111111222-42222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000
χ4744444-2-2-2-2-2-2-2444-2-4-2-21114-422-2-2111-2-2-2-21111114422-422222-1-1-1-1-1-1-2-22-4-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000
χ4844444-2-2-2-2-2-2-2444-2-4-2-2111-4422-2-2111-2-2-2-2111111-4-4-2-2-422222-1-1-1-1-1-122-242222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000
χ494444-24-24-2-24-2-2-2-244-21-21144-2-2-21-211-2-211-2-21111-2-244-24-2-211-2-211114-2-2-2-2-211-2-21111-2-211-2-21111000000000000000000000000000000000
χ504444-24-24-2-24-2-2-2-244-21-211-4-4-2-2-21-211-2-211-2-2111122-4-4-24-2-211-2-21111-422222-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000
χ514444-24-24-2-24-2-2-2-24-4-21-2114-422-21-211-2-211-2-21111-2-2-4-42-422-1-122-1-1-1-14-222-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000
χ524444-24-24-2-24-2-2-2-24-4-21-211-4422-21-211-2-211-2-2111122442-422-1-122-1-1-1-1-42-2-222-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000
χ534444-2-24-244-24-2-2-2-241-2-21144441-2-21111-2-2-2-21111-2-2-2-2-2-211-2-2-2-21111-244-211-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000
χ544444-2-24-244-24-2-2-2-241-2-211-4-4441-2-21111-2-2-2-211112222-2-211-2-2-2-211112-4-42-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000
χ554444-2-24-244-24-2-2-2-2-41-2-2114-4-4-41-2-21111-2-2-2-21111-2-22222-1-12222-1-1-1-1-24-4211-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000
χ564444-2-24-244-24-2-2-2-2-41-2-211-44-4-41-2-21111-2-2-2-2111122-2-222-1-12222-1-1-1-12-44-2-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000
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
χ6544-4-444-24-22-424-4-4-404-2-2-2-20000-422224-4-22-22-2-22200000000000000000000000000000000000000004-4000000000000000-2200000000000000
χ6644-4-444-24-22-424-4-4-404-2-2-2-20000-422224-4-22-22-2-2220000000000000000000000000000000000000000-440000000000000002-200000000000000
χ6744-4-44-24-24-42-44-4-420-24-2-2-200002-4222-224-4-22-2-2220000000000000000000000000000000000000000004i−4i000000000000000000000−2i2i000000
χ6844-4-44-24-24-42-44-4-420-24-2-2-200002-4222-224-4-22-2-222000000000000000000000000000000000000000000−4i4i0000000000000000000002i−2i000000
χ6944-4-4-24444-4-4-4-222-40-2-24-2-2000022-422-22-224-4-2-222000000000000000000000000000000000000000000004i−4i000000000000000−2i2i0000000000
χ7044-4-4-24444-4-4-4-222-40-2-24-2-2000022-422-22-224-4-2-22200000000000000000000000000000000000000000000−4i4i0000000000000002i−2i0000000000
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χ724-44-444-2-42-2-42-44-4404-2-2-2-20000-42222-442-22-222-2-200000000000000000000000000000000000000000000000000000000000−2i32i3000000000000
χ734-44-444-2-42-2-42-44-4404-2-2-2-20000-42222-442-22-222-2-2000000000000000000000000000000000000000000000000000000000002i3−2i3000000000000
χ744-44-44-242-442-4-44-4-20-24-2-2-200002-42222-2-442-222-2-20000000000000000000000000000000000000000000000000000000−2i32i30000000000000000
χ754-44-44-242-442-4-44-4-20-24-2-2-200002-42222-2-442-222-2-200000000000000000000000000000000000000000000000000000002i3−2i30000000000000000
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χ774-44-4-244-4-44-4-42-2240-2-24-2-2000022-4222-22-2-4422-2-2000000000000000000000000000000000000000000000000000000000000000−232300000000
χ784-4-44444-4-4-444-4-44-4044444000044444-4-4-4-4-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000
χ794-4-4444-2-4224-2-4-44-404-2-2-2-200−2i32i34-2-2-2-2-4-42222222200000000−2i32i3−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000000000000000000000000
χ804-4-4444-2-4224-2-4-44-404-2-2-2-2002i3−2i34-2-2-2-2-4-422222222000000002i3−2i32i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000
χ814-4-444-242-4-4-24-4-4420-24-2-2-20000-24-2-2-222-4-42222220023−230000000000000000000000000023−230023−2323−2323−23000000000000000000000000000000000
χ824-4-444-242-4-4-24-4-4420-24-2-2-20000-24-2-2-222-4-422222200−232300000000000000000000000000−232300−2323−2323−2323000000000000000000000000000000000
χ834-4-444-2-2222-2-2-4-4420-2-211100−2i32i3-2-21112222-1-1-1-1-1-10023−230000−2i32i3i3−i3i3−i3i3−i3000000003i−3i3i−3i3i−3i23−2300−33−33−33000000000000000000000000000000000
χ844-4-444-2-2222-2-2-4-4420-2-211100−2i32i3-2-21112222-1-1-1-1-1-100−23230000−2i32i3i3−i3i3−i3i3−i300000000−3i3i−3i3i−3i3i−2323003−33−33−3000000000000000000000000000000000
χ854-4-444-2-2222-2-2-4-4420-2-2111002i3−2i3-2-21112222-1-1-1-1-1-10023−2300002i3−2i3−i3i3−i3i3−i3i300000000−3i3i−3i3i−3i3i23−2300−33−33−33000000000000000000000000000000000
χ864-4-444-2-2222-2-2-4-4420-2-2111002i3−2i3-2-21112222-1-1-1-1-1-100−232300002i3−2i3−i3i3−i3i3−i3i3000000003i−3i3i−3i3i−3i−2323003−33−33−3000000000000000000000000000000000
χ874-4-44-244-4-4-44422-2-40-2-24-2-20000-2-24-2-22222-4-4222223−2300000000000000000023−2323−230023−23−23230000000000000000000000000000000000000000000
χ884-4-44-244-4-4-44422-2-40-2-24-2-20000-2-24-2-22222-4-42222−2323000000000000000000−2323−232300−232323−230000000000000000000000000000000000000000000
χ894-4-44-24-2-4224-222-2-40-21-21100−2i32i3-21-21122-1-122-1-1-1-123−23000000i3−i3−2i32i3i3−i3i3−i3000023−23−3300−333−3003i−3i003i−3i−3i3i000000000000000000000000000000000
χ904-4-44-24-2-4224-222-2-40-21-21100−2i32i3-21-21122-1-122-1-1-1-1−2323000000i3−i3−2i32i3i3−i3i3−i30000−23233−3003−3−3300−3i3i00−3i3i3i−3i000000000000000000000000000000000
χ914-4-44-24-2-4224-222-2-40-21-211002i3−2i3-21-21122-1-122-1-1-1-123−23000000−i3i32i3−2i3−i3i3−i3i3000023−23−3300−333−300−3i3i00−3i3i3i−3i000000000000000000000000000000000
χ924-4-44-24-2-4224-222-2-40-21-211002i3−2i3-21-21122-1-122-1-1-1-1−2323000000−i3i32i3−2i3−i3i3−i3i30000−23233−3003−3−33003i−3i003i−3i−3i3i000000000000000000000000000000000
χ934-4-44-2-242-4-4-2422-2201-2-21100001-2-211-1-12222-1-1-1-123−2323−23003-300003-3-330000−3323−2300−333−3−330023−23−33−33000000000000000000000000000000000
χ944-4-44-2-242-4-4-2422-2201-2-21100001-2-211-1-12222-1-1-1-123−23−232300-330000-333-30000−3323−2300−333−33−300−23233−33−3000000000000000000000000000000000
χ954-4-44-2-242-4-4-2422-2201-2-21100001-2-211-1-12222-1-1-1-1−232323−2300-330000-333-300003−3−2323003−3−33−330023−23−33−33000000000000000000000000000000000
χ964-4-44-2-242-4-4-2422-2201-2-21100001-2-211-1-12222-1-1-1-1−2323−2323003-300003-3-3300003−3−2323003−3−333−300−23233−33−3000000000000000000000000000000000
χ974-4-44-2-2-2222-2-222-220111−1−3i32−1+3i3200−2i32i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i3223−2323−23003-3i3−i3i3−i3−3−i323+i323−i32−3+i320000−33−333i−3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−333i−3i−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000000000000000000
χ984-4-44-2-2-2222-2-222-220111−1−3i32−1+3i3200−2i32i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32−2323−2323003-3i3−i3i3−i3−3−i323+i323−i32−3+i3200003−33−3−3i3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ113−3−3i3i3−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000000000000000000000000000
χ994-4-44-2-2-2222-2-222-220111−1−3i32−1+3i32002i3−2i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i3223−23−232300-33−i3i3−i3i33+i32−3−i32−3+i323−i320000−33−333i−3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ113−3−3i3i3−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000000000000000000000000000
χ1004-4-44-2-2-2222-2-222-220111−1−3i32−1+3i32002i3−2i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32−232323−2300-33−i3i3−i3i33+i32−3−i32−3+i323−i3200003−33−3−3i3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11−333i−3i−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000000000000000000
χ1014-4-44-2-2-2222-2-222-220111−1+3i32−1−3i3200−2i32i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i3223−23−232300-33i3−i3i3−i33−i32−3+i32−3−i323+i320000−33−33−3i3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ113−33i−3i3−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000000000000000000000
χ1024-4-44-2-2-2222-2-222-220111−1+3i32−1−3i3200−2i32i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32−232323−2300-33i3−i3i3−i33−i32−3+i32−3−i323+i3200003−33−33i−3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−33−3i3i−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000000000000000000000
χ1034-4-44-2-2-2222-2-222-220111−1+3i32−1−3i32002i3−2i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i3223−2323−23003-3−i3i3−i3i3−3+i323−i323+i32−3−i320000−33−33−3i3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11−33−3i3i−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000000000000000000000
χ1044-4-44-2-2-2222-2-222-220111−1+3i32−1−3i32002i3−2i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32−2323−2323003-3−i3i3−i3i3−3+i323−i323+i32−3−i3200003−33−33i−3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ113−33i−3i3−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000000000000000000000
χ10588-8-88-4-4-4-44448-8-840-4-4222000044-2-2-2-44-442-222-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-48-48-44-84-444-80-42-42200004-24-2-2-442-2-4422-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-48-48-84-8-444402-4-4220000-244-2-22-2-44-4422-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-4-4-4444-44440222−1−3i3−1+3i30000-2-2-21+3i31−3i32-22-22-2−1−3i3−1+3i31+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-4-4-4444-44440222−1+3i3−1−3i30000-2-2-21−3i31+3i32-22-22-2−1+3i3−1−3i31−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-88-4-444-444-88-8-40-4-4222000044-2-2-24-44-4-22-2-2220000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-48-4-84-4-844-4480-42-42200004-24-2-24-4-224-4-2-2220000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-484-884-84-44-402-4-4220000-244-2-2-224-44-4-2-2220000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-444-4444-44-40222−1−3i3−1+3i30000-2-2-21+3i31−3i3-22-22-221+3i31−3i3−1−3i3−1+3i30000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-444-4444-44-40222−1+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.