Finite Group Databasebeta

← Group #13178330

Character table — Group #13178330

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222222244444444444444444444444444444444888888888888888888888888888888888899991818181818181818181818181818363636363636363636363636363636363636363672727272
order12223334466666666633333446666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212222244444444446666444444121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-111
χ511111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ611111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-111
χ811111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1
χ91111111-1-1111111111111111-1111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111-11-11-1-1-1111111-1-1-1-1-1-11-11-1
χ101111111-1-1111111111111111-1111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111-1-11-11-1-1-1-1-1-111-1-11111-11-11
χ111111111-1-1111111111111111-1111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-111-1-111111-1-1-1-111-1-1111-1-11
χ121111111-1-1111111111111111-1111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-111-111-1-111-1-11111-1-1-111-1
χ131111111-1-111111111111111-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-11111-11-11-11-1-11111-1-111-1-1-1-1-11-11
χ141111111-1-111111111111111-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111-111-11-1-1-1-1-1-1-1-1-11111111-11-1
χ151111111-1-111111111111111-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-11-1-111-11111-1-111-1-1-1-111-111-1
χ161111111-1-111111111111111-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-11-11-1-1111-1-11111-1-111-1-11-1-11
χ17222222-122-122-122-1222-1-1-1-1222-1-1-1-12-1-1-1-12-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222200000000-1-1-1-1220000-1-10000-1-1-1-100000000
χ18222222-122-122-122-1222-1-1-1-1222-1-1-1-12-1-1-1-12-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2000000001111-2-20000110000111100000000
χ19222222-122-122-122-1222-1-1-1-1-2-22-1-1-1-12-1-1-1-12-1-1-1-12222-1-11111-2-2-2-222-1-1-1-1-1-1-1-1-2-211111111-2-21111111122222200000000-1-1-1-1-2-20000-1-10000111100000000
χ20222222-122-122-122-1222-1-1-1-1-2-22-1-1-1-12-1-1-1-12-1-1-1-12222-1-11111-2-2-2-222-1-1-1-1-1-1-1-1-2-211111111-2-211111111-2-2-2-2-2-2000000001111220000110000-1-1-1-100000000
χ21222222-1-2-2-122-122-1222-1-1-1-12-22-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-211-1-11122-2-2-2-21111111122-1-1-1-1-1-1-1-1-2-2111111112222-2-200000000-1-1-1-12-20000110000-1-11100000000
χ22222222-1-2-2-122-122-1222-1-1-1-12-22-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-211-1-11122-2-2-2-21111111122-1-1-1-1-1-1-1-1-2-211111111-2-2-2-222000000001111-220000-1-1000011-1-100000000
χ23222222-1-2-2-122-122-1222-1-1-1-1-222-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-21111-1-1-2-222-2-211111111-2-21111111122-1-1-1-1-1-1-1-12222-2-200000000-1-1-1-1-22000011000011-1-100000000
χ24222222-1-2-2-122-122-1222-1-1-1-1-222-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-21111-1-1-2-222-2-211111111-2-21111111122-1-1-1-1-1-1-1-1-2-2-2-2220000000011112-20000-1-10000-1-11100000000
χ2522222-122222-122-122-1-12-1-1-122-12-1-1-1-12-1-1-1-12-1-1-122-1-12222222-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000022002200000000220000-1-1000000-1-100-1-1
χ2622222-122222-122-122-1-12-1-1-122-12-1-1-1-12-1-1-1-12-1-1-122-1-12222222-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000-2-200-2-200000000-2-2000011000000110011
χ2722222-122222-122-122-1-12-1-1-1-2-2-12-1-1-1-12-1-1-1-12-1-1-122-1-122-2-2-2-2-21-21-1-122-1-1-1-1-1-111-2-211111111-2-21111110000000022002200000000-2-20000-1-1000000-1-10011
χ2822222-122222-122-122-1-12-1-1-1-2-2-12-1-1-1-12-1-1-1-12-1-1-122-1-122-2-2-2-2-21-21-1-122-1-1-1-1-1-111-2-211111111-2-211111100000000-2-200-2-200000000220000110000001100-1-1
χ2922222-12-2-222-122-122-1-12-1-1-12-2-12-1-1-1-12-1-1-1-12-1-1-1-2-211-2-222-2-22-1-2111-2-2111111-1-122-1-1-1-1-1-111-2-2111111000000002200-2-2000000002-20000-1-10000001100-11
χ3022222-12-2-222-122-122-1-12-1-1-12-2-12-1-1-1-12-1-1-1-12-1-1-1-2-211-2-222-2-22-1-2111-2-2111111-1-122-1-1-1-1-1-111-2-211111100000000-2-2002200000000-22000011000000-1-1001-1
χ3122222-12-2-222-122-122-1-12-1-1-1-22-12-1-1-1-12-1-1-1-12-1-1-1-2-211-2-2-2-222-212-111-2-211111111-2-2111111-1-122-1-1-1-1-1-1000000002200-2-200000000-220000-1-100000011001-1
χ3222222-12-2-222-122-122-1-12-1-1-1-22-12-1-1-1-12-1-1-1-12-1-1-1-2-211-2-2-2-222-212-111-2-211111111-2-2111111-1-122-1-1-1-1-1-100000000-2-20022000000002-2000011000000-1-100-11
χ332222-122222-122-122-12-1-12-1-122-1-12-1-1-1-12-1-1-1-12-1-1-1-122222222-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100000022002200000000220000-1-1000000-1-100-1-100
χ342222-122222-122-122-12-1-12-1-122-1-12-1-1-1-12-1-1-1-12-1-1-1-122222222-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000000-2-200-2-200000000-2-200001100000011001100
χ352222-122222-122-122-12-1-12-1-1-2-2-1-12-1-1-1-12-1-1-1-12-1-1-1-12222-2-2-2-21-21-2-1-1-1-122-1-1-1-11111-2-211111111-2-2111100000022002200000000-2-20000-1-1000000-1-1001100
χ362222-122222-122-122-12-1-12-1-1-2-2-1-12-1-1-1-12-1-1-1-12-1-1-1-12222-2-2-2-21-21-2-1-1-1-122-1-1-1-11111-2-211111111-2-21111000000-2-200-2-200000000220000110000001100-1-100
χ372222-122-2-22-122-122-12-1-12-1-12-2-1-12-1-1-1-12-1-1-1-12-1-111-2-2-2-222-2-2-121-21111-2-21111-1-1-1-122-1-1-1-11111-2-211110000002200-2-2000000002-20000-1-10000001100-1100
χ382222-122-2-22-122-122-12-1-12-1-12-2-1-12-1-1-1-12-1-1-1-12-1-111-2-2-2-222-2-2-121-21111-2-21111-1-1-1-122-1-1-1-11111-2-21111000000-2-2002200000000-22000011000000-1-1001-100
χ392222-122-2-22-122-122-12-1-12-1-1-22-1-12-1-1-1-12-1-1-1-12-1-111-2-2-2-2-2-2221-2-121111-2-211111111-2-21111-1-1-1-122-1-1-1-10000002200-2-200000000-220000-1-100000011001-100
χ402222-122-2-22-122-122-12-1-12-1-1-22-1-12-1-1-1-12-1-1-1-12-1-111-2-2-2-2-2-2221-2-121111-2-211111111-2-21111-1-1-1-122-1-1-1-1000000-2-20022000000002-2000011000000-1-100-1100
χ4122-2-22222-2-2222-2-2-2-2-22222200-2-2-2-2-222222-2-2-2-2-22-22-22-2000000002-22-22-222-2-20000000000000000000022-2-22-20000000022-2-20000002-20000000000000000
χ4222-2-22222-2-2222-2-2-2-2-22222200-2-2-2-2-222222-2-2-2-2-22-22-22-2000000002-22-22-222-2-200000000000000000000-2-222-2200000000-2-222000000-220000000000000000
χ4322-2-2222-22-2222-2-2-2-2-22222200-2-2-2-2-222222-2-2-2-2-2-22-22-2200000000-22-22-22-2-2220000000000000000000022-2-2-220000000022-2-2000000-220000000000000000
χ4422-2-2222-22-2222-2-2-2-2-22222200-2-2-2-2-222222-2-2-2-2-2-22-22-2200000000-22-22-22-2-22200000000000000000000-2-2222-200000000-2-2220000002-20000000000000000
χ4522-2-222-12-2122-1-2-21-2-22-1-1-1-100-211112-1-1-1-1-211112-22-2-113−33−300002-2-11-11-1-111003−33−333−3−3003−33−333−3−322-2-22-200000000-1-111000000-1100003−33−300000000
χ4622-2-222-12-2122-1-2-21-2-22-1-1-1-100-211112-1-1-1-1-211112-22-2-113−33−300002-2-11-11-1-111003−33−333−3−3003−33−333−3−3-2-222-220000000011-1-10000001-10000−33−3300000000
χ4722-2-222-12-2122-1-2-21-2-22-1-1-1-100-211112-1-1-1-1-211112-22-2-11−33−3300002-2-11-11-1-11100−33−33−3−33300−33−33−3−33322-2-22-200000000-1-111000000-110000−33−3300000000
χ4822-2-222-12-2122-1-2-21-2-22-1-1-1-100-211112-1-1-1-1-211112-22-2-11−33−3300002-2-11-11-1-11100−33−33−3−33300−33−33−3−333-2-222-220000000011-1-10000001-100003−33−300000000
χ4922-2-222-1-22122-1-2-21-2-22-1-1-1-100-211112-1-1-1-1-21111-22-221-13−3−330000-221-11-111-1-1003−33−333−3−300−33−33−3−33322-2-2-2200000000-1-1110000001-100003−3−3300000000
χ5022-2-222-1-22122-1-2-21-2-22-1-1-1-100-211112-1-1-1-1-21111-22-221-13−3−330000-221-11-111-1-1003−33−333−3−300−33−33−3−333-2-2222-20000000011-1-1000000-110000−333−300000000
χ5122-2-222-1-22122-1-2-21-2-22-1-1-1-100-211112-1-1-1-1-21111-22-221-1−333−30000-221-11-111-1-100−33−33−3−333003−33−333−3−322-2-2-2200000000-1-1110000001-10000−333−300000000
χ5222-2-222-1-22122-1-2-21-2-22-1-1-1-100-211112-1-1-1-1-21111-22-221-1−333−30000-221-11-111-1-100−33−33−3−333003−33−333−3−3-2-2222-20000000011-1-1000000-1100003−3−3300000000
χ532-22-222200-2-2-2-2222-2-22222200-2-2-2-2-2-2-2-2-2-222222000000000000000000000000000000000000000000002-22-20000002i−2i2i−2i2-22-200000000000000002i−2i2i−2i0000
χ542-22-222200-2-2-2-2222-2-22222200-2-2-2-2-2-2-2-2-2-222222000000000000000000000000000000000000000000002-22-2000000−2i2i−2i2i2-22-20000000000000000−2i2i−2i2i0000
χ552-22-222200-2-2-2-2222-2-22222200-2-2-2-2-2-2-2-2-2-22222200000000000000000000000000000000000000000000-22-220000002i−2i−2i2i-22-2200000000000000002i−2i−2i2i0000
χ562-22-222200-2-2-2-2222-2-22222200-2-2-2-2-2-2-2-2-2-22222200000000000000000000000000000000000000000000-22-22000000−2i2i2i−2i-22-220000000000000000−2i2i2i−2i0000
χ572-2-22222002-2-2-2-2-2-222222220022222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000002-2-22002i−2i2i−2i00002-2-22000000002i−2i2i−2i000000000000
χ582-2-22222002-2-2-2-2-2-222222220022222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000002-2-2200−2i2i−2i2i00002-2-2200000000−2i2i−2i2i000000000000
χ592-2-22222002-2-2-2-2-2-222222220022222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000-222-2002i−2i−2i2i0000-222-2000000002i−2i−2i2i000000000000
χ602-2-22222002-2-2-2-2-2-222222220022222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000-222-200−2i2i2i−2i0000-222-200000000−2i2i2i−2i000000000000
χ6144444-2-244-24-2-24-2-24-2-2-211144-2-2111-2-2111-2-211144-2-2-2-2-2-2-2-24-24-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000000
χ6244444-2-244-24-2-24-2-24-2-2-2111-4-4-2-2111-2-2111-2-211144-2-2-2-22222-42-42-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6344444-2-2-4-4-24-2-24-2-24-2-2-21114-4-2-2111-2-2111-2-2111-4-42222-2-2224-2-422222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6444444-2-2-4-4-24-2-24-2-24-2-2-2111-44-2-2111-2-2111-2-2111-4-4222222-2-2-424-22222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000000
χ654444-24-244-2-24-2-24-2-24-21-21144-21-211-21-211-21-211-2-244-2-2-2-2-2-2-24-24-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000000
χ664444-24-244-2-24-2-24-2-24-21-211-4-4-21-211-21-211-21-211-2-244-2-222222-42-4-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ674444-24-2-4-4-2-24-2-24-2-24-21-2114-4-21-211-21-211-21-21122-4-422-2-222-242-422-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ684444-24-2-4-4-2-24-2-24-2-24-21-211-44-21-211-21-211-21-21122-4-42222-2-22-4-2422-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000000
χ694444-2-24444-2-24-2-24-2-21-2-211441-2-2111-2-2111-2-211-2-2-2-2444444-2-2-2-211-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000000
χ704444-2-24444-2-24-2-24-2-21-2-211-4-41-2-2111-2-2111-2-211-2-2-2-244-4-4-4-4222211-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ714444-2-24-4-44-2-24-2-24-2-21-2-2114-41-2-2111-2-2111-2-2112222-4-444-4-4-2-222-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ724444-2-24-4-44-2-24-2-24-2-21-2-211-441-2-2111-2-2111-2-2112222-4-4-4-44422-2-2-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000000
χ734444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3244111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000000
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χ784444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-44111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i3222222222-2-222-2-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000000
χ794444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i324-4111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i32222222-2-222-2-222-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000000
χ804444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-44111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i3222222222-2-222-2-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000000
χ8144-4-44-244-4-44-24-42-4-42-24-2-2-2002-4222-24-2-2-22-42224-4-224-400000000-224-4-22-2-22200000000000000000000000000000000000000000000000000000000000000
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χ8544-4-44-2-2-4424-2-2-422-42-2-21110022-1-1-1-2-211122-1-1-1-442-22-223−23−232300002-22-2-11-1-1110023−23−33−3−33300−23233−333−3−3000000000000000000000000000000000000000000
χ8644-4-44-2-2-4424-2-2-422-42-2-21110022-1-1-1-2-211122-1-1-1-442-22-2−232323−2300002-22-2-11-1-11100−23233−333−3−30023−23−33−3−333000000000000000000000000000000000000000000
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χ9044-4-4-24-24-42-24-22-422-4-21-211002-12-1-1-21-2112-12-1-1-224-4-22−2323−23230000-221-1-2211-1-1003−3−232333−3−3003−3−232333−3−3000000000000000000000000000000000000000000
χ9144-4-4-24-2-442-24-22-422-4-21-211002-12-1-1-21-2112-12-1-12-2-442-223−23−232300002-2-112-2-1-11100−3323−23−3−333003−3−232333−3−3000000000000000000000000000000000000000000
χ9244-4-4-24-2-442-24-22-422-4-21-211002-12-1-1-21-2112-12-1-12-2-442-2−232323−2300002-2-112-2-1-111003−3−232333−3−300−3323−23−3−333000000000000000000000000000000000000000000
χ9344-4-4-2-244-4-4-2-2422-4221-2-21100-122-1-11-2-211-122-1-1-22-224-4000000001-1-22-2211-1-13i−3i00003i−3i−3i3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000000000
χ9444-4-4-2-244-4-4-2-2422-4221-2-21100-122-1-11-2-211-122-1-1-22-224-4000000001-1-22-2211-1-1−3i3i0000−3i3i3i−3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000000000
χ9544-4-4-2-24-44-4-2-2422-4221-2-21100-122-1-11-2-211-122-1-12-22-2-4400000000-112-22-2-1-1113i−3i00003i−3i−3i3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000000000
χ9644-4-4-2-24-44-4-2-2422-4221-2-21100-122-1-11-2-211-122-1-12-22-2-4400000000-112-22-2-1-111−3i3i0000−3i3i3i−3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000000000
χ9744-4-4-2-2-24-42-2-2-222222111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32-22-22-2223−2323−2300001-11-11-1−1−3i32−1+3i321+3i321−3i323i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ113i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000000
χ9844-4-4-2-2-24-42-2-2-222222111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32-22-22-22−2323−232300001-11-11-1−1−3i32−1+3i321+3i321−3i32−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000000
χ9944-4-4-2-2-24-42-2-2-222222111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32-22-22-2223−2323−2300001-11-11-1−1+3i32−1−3i321−3i321+3i32−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000000
χ10044-4-4-2-2-24-42-2-2-222222111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32-22-22-22−2323−232300001-11-11-1−1+3i32−1−3i321−3i321+3i323i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ113i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000000
χ10144-4-4-2-2-2-442-2-2-222222111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i322-22-22-223−23−23230000-11-11-111+3i321−3i32−1−3i32−1+3i323i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000000
χ10244-4-4-2-2-2-442-2-2-222222111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i322-22-22-2−232323−230000-11-11-111+3i321−3i32−1−3i32−1+3i32−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ113i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000000
χ10344-4-4-2-2-2-442-2-2-222222111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i322-22-22-223−23−23230000-11-11-111−3i321+3i32−1+3i32−1−3i32−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ113i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000000
χ10444-4-4-2-2-2-442-2-2-222222111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i322-22-22-2−232323−230000-11-11-111−3i321+3i32−1+3i32−1−3i323i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000000
χ1054-44-444-2002-4-4244-2-4-44-2-2-2-200-42222-422224-2-2-2-2000000000000000000000000000000000000000000004-44-40000000000-22-22000000000000000000000000
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χ1208-88-8-4-4-4004444-4-4-444222−1−3i3−1+3i300-2-2-21+3i31−3i3-2-2-21+3i31−3i3222−1−3i3−1+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-8-4-4-4004444-4-4-444222−1+3i3−1−3i300-2-2-21−3i31+3i3-2-2-21−3i31+3i3222−1+3i3−1−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-888-4-400-4-844-8448-4-4-422200-4-422244-2-2-244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1258-8-88-4-4-400-4444444-4-4222−1−3i3−1+3i300222−1−3i3−1+3i3-2-2-21+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-4-4-400-4444444-4-4222−1+3i3−1−3i300222−1+3i3−1−3i3-2-2-21−3i31+3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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