Finite Group Databasebeta

← Group #13178338

Character table — Group #13178338

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222222244444444444444444444444444444888888888888888888888888888888888888181818181818363636363636363636363636363636363636363636727272727272
order12223336666666663333344466666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121244444424444444412121212121212121212121261212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-1-1-111
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11-1-1-1-1-1-111-1-111-1-111-1-1-1-11-11-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1111-1-1-1-1-111-1-1-1-1-1-111-1-1-11-11-1-1
χ51111111111111111111111-1-1111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-11-1-11-1-11-111111111-1-1-1-1-11-1-11-1
χ61111111111111111111111-1-1111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1111-1-1-11-1-1-1-111-1-111-1-11-1111-1
χ71111111111111111111111-1-1111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1111-1-1-111-1-1111111-1-1-11-11
χ81111111111111111111111-1-1111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1111-1-1-1-1-1-1-1-111111-1-11
χ9111111111111111111111-11-1111111111111111-1-1-1-1111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-11-1-11-1-1-1111111-1-111-1-11-1-1-1-11
χ10111111111111111111111-11-1111111111111111-1-1-1-1111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-11-11-111-1-1-1-11111-1-1-1-1-1111-11
χ11111111111111111111111-11-1111111111111111-1-1-1-1111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-111-11-1-1-1-111-1-1-1-1-1-11111-111-1
χ12111111111111111111111-11-1111111111111111-1-1-1-1111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11-11-111111-1-1-1-1111111-1-11-11-1
χ13111111111111111111111-1-1111111111111111111-1-1-1-1-11-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1-11-11111111-1-1-1-111-1-111-1-1
χ14111111111111111111111-1-1111111111111111111-1-1-1-1-11-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-111-1-1-1-1-11111111111-1-1-1-1
χ15111111111111111111111-1-1111111111111111111-1-1-1-1-11-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-111-1-11-1-111-1-1-1-111-1-1-111-111
χ16111111111111111111111-1-1111111111111111111-1-1-1-1-11-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-11-111-1-1-1-111-1-1-1-11-1-1111
χ17222222-12-12-122-1222-1-1-1-12222-1-1-1-12-1-1-1-12-1-1-1-122-1-122-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100220020000002200-1-100-1-10000-10-1000
χ18222222-12-12-122-1222-1-1-1-12222-1-1-1-12-1-1-1-12-1-1-1-122-1-122-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-200-2000000-2-2001100110000101000
χ19222222-12-12-122-1222-1-1-1-12-2-22-1-1-1-12-1-1-1-12-1-1-1-1-2-2-1-1-2-21122-2-2-2-21111111122-1-1-1-1-1-1-1-1-2-211111111002200-20000002-200-1-100-1-10000101000
χ20222222-12-12-122-1222-1-1-1-12-2-22-1-1-1-12-1-1-1-12-1-1-1-1-2-2-1-1-2-21122-2-2-2-21111111122-1-1-1-1-1-1-1-1-2-21111111100-2-2002000000-22001100110000-10-1000
χ21222222-12-12-122-1222-1-1-1-1-22-22-1-1-1-12-1-1-1-12-1-1-1-1-2-21122-11-2-22-2-2-211111111-2-21111111122-1-1-1-1-1-1-1-10022002000000-2-200-1-100110000-101000
χ22222222-12-12-122-1222-1-1-1-1-22-22-1-1-1-12-1-1-1-12-1-1-1-1-2-21122-11-2-22-2-2-211111111-2-21111111122-1-1-1-1-1-1-1-100-2-200-200000022001100-1-1000010-1000
χ23222222-12-12-122-1222-1-1-1-1-2-222-1-1-1-12-1-1-1-12-1-1-1-12211-2-21-1-2-2-2222-1-1-1-1-1-1-1-1-2-211111111-2-211111111002200-2000000-2200-1-10011000010-1000
χ24222222-12-12-122-1222-1-1-1-1-2-222-1-1-1-12-1-1-1-12-1-1-1-12211-2-21-1-2-2-2222-1-1-1-1-1-1-1-1-2-211111111-2-21111111100-2-20020000002-2001100-1-10000-101000
χ2522222-1222-122-12-12-12-1-1-1222-12-1-1-1-12-1-1-1-12-1-1-12222-1-1222-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000022022200000-1-1000000-1-1000-10-100
χ2622222-1222-122-12-12-12-1-1-1222-12-1-1-1-12-1-1-1-12-1-1-12222-1-1222-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-20-2-2-200000110000001100010100
χ2722222-1222-122-12-12-12-1-1-12-2-2-12-1-1-1-12-1-1-1-12-1-1-1-2-22211-2-22-1-2111-2-2111111-1-122-1-1-1-1-1-111-2-211111100002202-2-200000-1-100000011000-10100
χ2822222-1222-122-12-12-12-1-1-12-2-2-12-1-1-1-12-1-1-1-12-1-1-1-2-22211-2-22-1-2111-2-2111111-1-122-1-1-1-1-1-111-2-21111110000-2-20-2220000011000000-1-100010-100
χ2922222-1222-122-12-12-12-1-1-1-22-2-12-1-1-1-12-1-1-1-12-1-1-1-2-2-2-2-1-12-2-212111-2-211111111-2-2111111-1-122-1-1-1-1-1-10000220-22-200000-1-1000000-1-100010100
χ3022222-1222-122-12-12-12-1-1-1-22-2-12-1-1-1-12-1-1-1-12-1-1-1-2-2-2-2-1-12-2-212111-2-211111111-2-2111111-1-122-1-1-1-1-1-10000-2-202-22000001100000011000-10-100
χ3122222-1222-122-12-12-12-1-1-1-2-22-12-1-1-1-12-1-1-1-12-1-1-122-2-211-22-21-2-1-1-122-1-1-1-1-1-111-2-211111111-2-21111110000220-2-2200000-1-10000001100010-100
χ3222222-1222-122-12-12-12-1-1-1-2-22-12-1-1-1-12-1-1-1-12-1-1-122-2-211-22-21-2-1-1-122-1-1-1-1-1-111-2-211111111-2-21111110000-2-2022-20000011000000-1-1000-10100
χ332222-122-1222-1222-1-1-12-1-1222-1-12-1-1-1-12-1-1-1-12-1-1-1-1222222-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12200000000222000000-1-10000-1-10000-1-1
χ342222-122-1222-1222-1-1-12-1-1222-1-12-1-1-1-12-1-1-1-12-1-1-1-1222222-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-200000000-2-2-200000011000011000011
χ352222-122-1222-1222-1-1-12-1-12-2-2-1-12-1-1-1-12-1-1-1-12-1-11122-2-2-2-2-121-21111-2-21111-1-1-1-122-1-1-1-11111-2-2111122000000002-2-2000000-1-10000110000-11
χ362222-122-1222-1222-1-1-12-1-12-2-2-1-12-1-1-1-12-1-1-1-12-1-11122-2-2-2-2-121-21111-2-21111-1-1-1-122-1-1-1-11111-2-21111-2-200000000-222000000110000-1-100001-1
χ372222-122-1222-1222-1-1-12-1-1-22-2-1-12-1-1-1-12-1-1-1-12-1-111-2-2222-21-2-1-21111-2-211111111-2-21111-1-1-1-122-1-1-1-12200000000-22-2000000-1-100001100001-1
χ382222-122-1222-1222-1-1-12-1-1-22-2-1-12-1-1-1-12-1-1-1-12-1-111-2-2222-21-2-1-21111-2-211111111-2-21111-1-1-1-122-1-1-1-1-2-2000000002-22000000110000-1-10000-11
χ392222-122-1222-1222-1-1-12-1-1-2-22-1-12-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-2-221-212-1-1-1-122-1-1-1-11111-2-211111111-2-211112200000000-2-22000000-1-10000-1-1000011
χ402222-122-1222-1222-1-1-12-1-1-2-22-1-12-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-2-221-212-1-1-1-122-1-1-1-11111-2-211111111-2-21111-2-20000000022-2000000110000110000-1-1
χ412-2-22222-2-22-2-2-22-222222200022222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000002i−2i2i−2i2-20000000002-22i−2i2i−2i000000000000
χ422-2-22222-2-22-2-2-22-222222200022222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000002i−2i−2i2i-22000000000-22−2i2i2i−2i000000000000
χ432-2-22222-2-22-2-2-22-222222200022222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000−2i2i2i−2i-22000000000-222i−2i−2i2i000000000000
χ442-2-22222-2-22-2-2-22-222222200022222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000−2i2i−2i2i2-20000000002-2−2i2i−2i2i000000000000
χ4544444-2-24-2-2-24-2-2-24-2-2111444-2-2111-2-2111-2-211144-2-2-2-2-2-24-24-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000
χ4644444-2-24-2-2-24-2-2-24-2-21114-4-4-2-2111-2-2111-2-2111-4-4-2-222224-2-422222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000
χ4744444-2-24-2-2-24-2-2-24-2-2111-44-4-2-2111-2-2111-2-2111-4-422-2-2-22-42422222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000
χ4844444-2-24-2-2-24-2-2-24-2-2111-4-44-2-2111-2-2111-2-21114422222-2-42-4-2-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000
χ494444-24-2-2-24-2-24-24-2-21-211444-21-211-21-211-21-211-2-2-2-244-2-2-24-24-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000
χ504444-24-2-2-24-2-24-24-2-21-2114-4-4-21-211-21-211-21-21122-2-2-4-422-242-422-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000
χ514444-24-2-2-24-2-24-24-2-21-211-44-4-21-211-21-211-21-211222244-222-4-2-422-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000
χ524444-24-2-2-24-2-24-24-2-21-211-4-44-21-211-21-211-21-211-2-222-4-42-22-424-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000
χ534444-2-24-24-24-2-24-2-21-2-2114441-2-2111-2-2111-2-211-2-244-2-244-2-2-2-211-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000
χ544444-2-24-24-24-2-24-2-21-2-2114-4-41-2-2111-2-2111-2-211224422-4-4-2-222-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000
χ554444-2-24-24-24-2-24-2-21-2-211-44-41-2-2111-2-2111-2-21122-4-4-2-24-422-22-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000
χ564444-2-24-24-24-2-24-2-21-2-211-4-441-2-2111-2-2111-2-211-2-2-4-422-44222-211-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000
χ574444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32444111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32000000000000000000000000000000000
χ584444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i324-4-4111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i3222-2-22222-2-222-1-1-1-1-1-11+3i321+3i321−3i321−3i32111111−1−3i32−1−3i32−1+3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32000000000000000000000000000000000
χ594444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-44-4111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i322222-2-2-2222-22-1-1-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32111111−1−3i32−1−3i32−1+3i32−1+3i32000000000000000000000000000000000
χ604444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-4-44111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i32-2-222222-2222-2111111−1−3i32−1−3i32−1+3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32000000000000000000000000000000000
χ614444-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32444111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32000000000000000000000000000000000
χ624444-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i324-4-4111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i3222-2-22222-2-222-1-1-1-1-1-11−3i321−3i321+3i321+3i32111111−1+3i32−1+3i32−1−3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32000000000000000000000000000000000
χ634444-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-44-4111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i322222-2-2-2222-22-1-1-1-1-1-11−3i321−3i321+3i321+3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32111111−1+3i32−1+3i32−1−3i32−1−3i32000000000000000000000000000000000
χ644444-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-4-44111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i32-2-222222-2222-2111111−1+3i32−1+3i32−1−3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32000000000000000000000000000000000
χ6544-4-4444-44-4-444-4-4-444444000-4-4-4-4-4-4-4-4-4-444444000000000000000000000000000000000000000000000000000000000000000000000000000
χ6644-4-444-2-4-2-42442-4-44-2-2-2-2000-42222-422224-2-2-2-200000000000000000000000000000000000000000000000000000000000000023−230000000000
χ6744-4-444-2-4-2-42442-4-44-2-2-2-2000-42222-422224-2-2-2-2000000000000000000000000000000000000000000000000000000000000000−23230000000000
χ6844-4-44-24-442-44-2-42-4-24-2-2-20002-42222-4222-24-2-2-20000000000000000000000000000000000000000000000000000000000000000023−2300000000
χ6944-4-44-24-442-44-2-42-4-24-2-2-20002-42222-4222-24-2-2-200000000000000000000000000000000000000000000000000000000000000000−232300000000
χ7044-4-4-24424-4-4-24-4-42-2-24-2-200022-42222-422-2-24-2-2000000000000000000000000000000000000000000000000000000000000000000023−23000000
χ7144-4-4-24424-4-4-24-4-42-2-24-2-200022-42222-422-2-24-2-20000000000000000000000000000000000000000000000000000000000000000000−2323000000
χ724-44-44444-4-44-4-4-44-444444000-4-4-4-4-444444-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ734-44-444-242-4-2-4-424-44-2-2-2-2000-422224-2-2-2-2-422220023−230000000000000000000023−2323−2323−2323−230000000000000000000000000000000000000000000
χ744-44-444-242-4-2-4-424-44-2-2-2-2000-422224-2-2-2-2-4222200−232300000000000000000000−2323−2323−2323−23230000000000000000000000000000000000000000000
χ754-44-44-244-424-42-4-2-4-24-2-2-20002-4222-24-2-2-22-4222000023−230000000000000000000000000023−230023−2323−2323−23000000000000000000000000000000000
χ764-44-44-244-424-42-4-2-4-24-2-2-20002-4222-24-2-2-22-42220000−232300000000000000000000000000−232300−2323−2323−2323000000000000000000000000000000000
χ774-44-44-2-2422-2-422-2-4-2-211100022-1-1-1-2-211122-1-1-10023−2323−2300000000003-33-33-30023−23−33−33−3323−2300−33−33−33000000000000000000000000000000000
χ784-44-44-2-2422-2-422-2-4-2-211100022-1-1-1-2-211122-1-1-10023−23−23230000000000-33-33-330023−23−33−33−33−2323003−33−33−3000000000000000000000000000000000
χ794-44-44-2-2422-2-422-2-4-2-211100022-1-1-1-2-211122-1-1-100−232323−230000000000-33-33-3300−23233−33−33−323−2300−33−33−33000000000000000000000000000000000
χ804-44-44-2-2422-2-422-2-4-2-211100022-1-1-1-2-211122-1-1-100−2323−232300000000003-33-33-300−23233−33−33−3−2323003−33−33−3000000000000000000000000000000000
χ814-44-4-244-2-4-442-4-442-2-24-2-200022-422-2-24-2-222-422−2i32i30000000000−2i32i3−2i32i300−2i32i32i3−2i300000000000000000000000000000000000000000000000000000
χ824-44-4-244-2-4-442-4-442-2-24-2-200022-422-2-24-2-222-4222i3−2i300000000002i3−2i32i3−2i3002i3−2i3−2i32i300000000000000000000000000000000000000000000000000000
χ834-44-4-24-2-22-4-22-4242-21-2110002-12-1-1-21-2112-12-1-1−2i32i323−2300000000−2i32i3i3−i300i3−i3−i3i300−3323−23−33−33003i−3i003i−3i−3i3i000000000000000000000000000000000
χ844-44-4-24-2-22-4-22-4242-21-2110002-12-1-1-21-2112-12-1-1−2i32i3−232300000000−2i32i3i3−i300i3−i3−i3i3003−3−23233−33−300−3i3i00−3i3i3i−3i000000000000000000000000000000000
χ854-44-4-24-2-22-4-22-4242-21-2110002-12-1-1-21-2112-12-1-12i3−2i323−23000000002i3−2i3−i3i300−i3i3i3−i300−3323−23−33−3300−3i3i00−3i3i3i−3i000000000000000000000000000000000
χ864-44-4-24-2-22-4-22-4242-21-2110002-12-1-1-21-2112-12-1-12i3−2i3−2323000000002i3−2i3−i3i300−i3i3i3−i3003−3−23233−33−3003i−3i003i−3i−3i3i000000000000000000000000000000000
χ874-44-4-2-24-2-42422-4-221-2-211000-122-1-11-2-211-122-1-1−2i32i30023−23000000i3−i3−2i32i300i3−i3−i3i33i−3i00003i−3i−3i3i−330023−23−33−33000000000000000000000000000000000
χ884-44-4-2-24-2-42422-4-221-2-211000-122-1-11-2-211-122-1-1−2i32i300−2323000000i3−i3−2i32i300i3−i3−i3i3−3i3i0000−3i3i3i−3i3−300−23233−33−3000000000000000000000000000000000
χ894-44-4-2-24-2-42422-4-221-2-211000-122-1-11-2-211-122-1-12i3−2i30023−23000000−i3i32i3−2i300−i3i3i3−i3−3i3i0000−3i3i3i−3i−330023−23−33−33000000000000000000000000000000000
χ904-44-4-2-24-2-42422-4-221-2-211000-122-1-11-2-211-122-1-12i3−2i300−2323000000−i3i32i3−2i300−i3i3i3−i33i−3i00003i−3i−3i3i3−300−23233−33−3000000000000000000000000000000000
χ914-44-4-2-2-2-222-2222-22111−1−3i32−1+3i32000-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32−2i32i323−2323−23000000i3−i3i3−i33-3−3−i323+i32−3+i323−i323i−3i−33−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−333i−3i−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000000000000000000
χ924-44-4-2-2-2-222-2222-22111−1−3i32−1+3i32000-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32−2i32i3−2323−2323000000i3−i3i3−i33-3−3−i323+i32−3+i323−i32−3i3i3−33−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ113−3−3i3i3−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000000000000000000000000000
χ934-44-4-2-2-2-222-2222-22111−1−3i32−1+3i32000-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i322i3−2i323−23−2323000000−i3i3−i3i3-333+i32−3−i323−i32−3+i323i−3i−33−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ113−3−3i3i3−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000000000000000000000000000
χ944-44-4-2-2-2-222-2222-22111−1−3i32−1+3i32000-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i322i3−2i3−232323−23000000−i3i3−i3i3-333+i32−3−i323−i32−3+i32−3i3i3−33−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11−333i−3i−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000000000000000000000000000
χ954-44-4-2-2-2-222-2222-22111−1+3i32−1−3i32000-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32−2i32i323−23−2323000000i3−i3i3−i3-333−i32−3+i323+i32−3−i32−3i3i−33−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ113−33i−3i3−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000000000000000000000
χ964-44-4-2-2-2-222-2222-22111−1+3i32−1−3i32000-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32−2i32i3−232323−23000000i3−i3i3−i3-333−i32−3+i323+i32−3−i323i−3i3−33−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−33−3i3i−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000000000000000000000
χ974-44-4-2-2-2-222-2222-22111−1+3i32−1−3i32000-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i322i3−2i323−2323−23000000−i3i3−i3i33-3−3+i323−i32−3−i323+i32−3i3i−33−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11−33−3i3i−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000000000000000000000
χ984-44-4-2-2-2-222-2222-22111−1+3i32−1−3i32000-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i322i3−2i3−2323−2323000000−i3i3−i3i33-3−3+i323−i32−3−i323+i323i−3i3−33−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ113−33i−3i3−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000000000000000000000
χ994-4-4444-2-4242-4-4-2-444-2-2-2-20004-2-2-2-2-42222-42222000000000000000000000000000000000000000000004i−4i0000000000000−2i2i00000000000000
χ1004-4-4444-2-4242-4-4-2-444-2-2-2-20004-2-2-2-2-42222-4222200000000000000000000000000000000000000000000−4i4i00000000000002i−2i00000000000000
χ1014-4-444-24-4-4-2-4-42424-24-2-2-2000-24-2-2-22-42222-422200000000000000000000000000000000000000000000004-4000000000-220000000000000000
χ1024-4-444-24-4-4-2-4-42424-24-2-2-2000-24-2-2-22-42222-42220000000000000000000000000000000000000000000000-440000000002-20000000000000000
χ1034-4-44-2442-44-42-44-4-2-2-24-2-2000-2-24-2-222-42222-4220000000000000000000000000000000000000000004i−4i00000000000000000−2i2i000000000000
χ1044-4-44-2442-44-42-44-4-2-2-24-2-2000-2-24-2-222-42222-422000000000000000000000000000000000000000000−4i4i000000000000000002i−2i000000000000
χ10588-8-88-4-4-8-4448-444-8-4-422200044-2-2-244-2-2-2-4-4222000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-48-44-4-84-484-84-42-4220004-24-2-24-24-2-2-42-422000000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-48484-8-4-4-8442-4-422000-244-2-2-244-2-22-4-422000000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-44-444-4-4444222−1−3i3−1+3i3000-2-2-21+3i31−3i3-2-2-21+3i31−3i3222−1−3i3−1+3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-44-444-4-4444222−1+3i3−1−3i3000-2-2-21−3i31+3i3-2-2-21−3i31+3i3222−1+3i3−1−3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-4-4-84-44-84-448-4-4222000-4-422244-2-2-244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-444844-8-4-8-4-42-422000-42-4224-24-2-24-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-484-8-4-84484-42-4-4220002-4-422-244-2-2-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-444-4444-44-4222−1−3i3−1+3i3000222−1−3i3−1+3i3-2-2-21+3i31−3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-444-4444-44-4222−1+3i3−1−3i3000222−1+3i3−1−3i3-2-2-21−3i31+3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000

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