Finite Group Databasebeta

← Group #13178665

Character table — Group #13178665

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181836363636363636363636363636363636363636363636363672727272
order12223334466666666622333336666666666666666666121212121212666666666666666666666666121212121212121212122244666622224444446666666612121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-111-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1
χ6111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ7111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1111-111-1-11111-1-111-1-1-1-111
χ8111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1111-1-1-11-1-1111111-1-1-1-11111-1-1
χ91111111-1-11111111111-11111111-1-1111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-11-11-11-1-1111-1-111-1-1-1-1-1-1111-11-1
χ101111111-1-11111111111-11111111-1-1111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-11-11-111-1-1-11111-1-1-1-111-1-1-11-11
χ111111111-1-11111111111-11111111-1-1111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-11-1-11111-1-11111-1-1-1-11-1-11
χ121111111-1-11111111111-11111111-1-1111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-111-111-1-1-1-1-1-111111111-111-1
χ131111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-11-11-1111-1-1-1-111-1-1-1-111-11-11
χ141111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-11-111-11-11-1-1-111-1-111-1-111-1-11-11-1
χ151111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-111-1-1-1111111-1-111-1-1-1-1-111-1
χ161111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-11-1-1111-1-1-1-111-1-11111111-1-11
χ17222222-12222-1-122-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12222-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-122000000000000-1-1-1-1-1-100000000
χ18222222-12222-1-122-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12222-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-21111-2-200000000000011111100000000
χ19222222-12222-1-122-122-2-22-1-1-1-1111122-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-2-2-2-2-2-211111111-2-21111111122-1-1-1-1-1-1-1-12222-1-1-1-1-2-20000000000001111-1-100000000
χ20222222-12222-1-122-122-2-22-1-1-1-1111122-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-2-2-2-2-2-211111111-2-21111111122-1-1-1-1-1-1-1-1-2-2-2-2111122000000000000-1-1-1-11100000000
χ21222222-1-2-222-1-122-1222-22-1-1-1-1-1-11122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-21122-2-222-1-1-1-1-1-1-1-1-2-211111111-2-21111111122-2-2-1-1-1-12-2000000000000-1-1111100000000
χ22222222-1-2-222-1-122-1222-22-1-1-1-1-1-11122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-21122-2-222-1-1-1-1-1-1-1-1-2-211111111-2-211111111-2-2221111-2200000000000011-1-1-1-100000000
χ23222222-1-2-222-1-122-122-222-1-1-1-111-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-211-2-222-2-21111111122-1-1-1-1-1-1-1-1-2-21111111122-2-2-1-1-1-1-2200000000000011-1-11100000000
χ24222222-1-2-222-1-122-122-222-1-1-1-111-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-211-2-222-2-21111111122-1-1-1-1-1-1-1-1-2-211111111-2-22211112-2000000000000-1-111-1-100000000
χ2522222-12222-1222-122-122-12-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-122-1-1222-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000000200220200-1-100000000-1-100-1-1
χ2622222-12222-1222-122-122-12-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-122-1-1222-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000000-200-2-20-2001100000000110011
χ2722222-12222-1222-122-1-2-2-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-122-1-122-21-2111-2-211111111-2-2111111-1-122-1-1-1-1-1-100000000000200-2-20200-1-100000000-1-10011
χ2822222-12222-1222-122-1-2-2-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-122-1-122-21-2111-2-211111111-2-2111111-1-122-1-1-1-1-1-100000000000-200220-20011000000001100-1-1
χ2922222-12-2-22-1222-122-12-2-12-1-1-122-2-2-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-22-1-21-1-122-1-1-1-1-1-111-2-211111111-2-211111100000000000200-220-200-1-10000000011001-1
χ3022222-12-2-22-1222-122-12-2-12-1-1-122-2-2-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-22-1-21-1-122-1-1-1-1-1-111-2-211111111-2-211111100000000000-2002-202001100000000-1-100-11
χ3122222-12-2-22-1222-122-1-22-12-1-1-1-2-222-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-2-212-111-2-2111111-1-122-1-1-1-1-1-111-2-2111111000000000002002-20-200-1-1000000001100-11
χ3222222-12-2-22-1222-122-1-22-12-1-1-1-2-222-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-2-212-111-2-2111111-1-122-1-1-1-1-1-111-2-211111100000000000-200-2202001100000000-1-1001-1
χ332222-12222-1222-122-1222-1-12-1-12222-1-1-1-122-1-1-1-1-1-12-1-1-1-12222-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000000000020220020-1-100000000-1-100-1-100
χ342222-12222-1222-122-1222-1-12-1-12222-1-1-1-122-1-1-1-1-1-12-1-1-1-12222-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000000000-20-2-200-20110000000011001100
χ352222-12222-1222-122-12-2-2-1-12-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1-122221-21-21111-2-211111111-2-21111-1-1-1-122-1-1-1-1000000000020-2-20020-1-100000000-1-1001100
χ362222-12222-1222-122-12-2-2-1-12-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1-122221-21-21111-2-211111111-2-21111-1-1-1-122-1-1-1-10000000000-202200-2011000000001100-1-100
χ372222-122-2-2-1222-122-122-2-1-12-1-122-2-2-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-2-121-2-1-1-1-122-1-1-1-11111-2-211111111-2-211110000000000202-200-20-1-1000000001100-1100
χ382222-122-2-2-1222-122-122-2-1-12-1-122-2-2-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-2-121-2-1-1-1-122-1-1-1-11111-2-211111111-2-211110000000000-20-2200201100000000-1-1001-100
χ392222-122-2-2-1222-122-12-22-1-12-1-1-2-222-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-21-2-121111-2-21111-1-1-1-122-1-1-1-11111-2-21111000000000020-2200-20-1-10000000011001-100
χ402222-122-2-2-1222-122-12-22-1-12-1-1-2-222-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-21-2-121111-2-21111-1-1-1-122-1-1-1-11111-2-211110000000000-202-200201100000000-1-100-1100
χ412-2-222222-2-2-2-2-2222-2-200222220000-2-2-2-2-2-2-2-2-2-2222222-22-22-20000000000000000000000002-22-22-222-2-22-22-222-2-20000000000000000002-200000000
χ422-2-222222-2-2-2-2-2222-2-200222220000-2-2-2-2-2-2-2-2-2-2222222-22-22-20000000000000000000000002-22-22-222-2-2-22-22-2-222000000000000000000-2200000000
χ432-2-22222-22-2-2-2-2222-2-200222220000-2-2-2-2-2-2-2-2-2-222222-22-22-22000000000000000000000000-22-22-22-2-2222-2-2222-2-2000000000000000000-2200000000
χ442-2-22222-22-2-2-2-2222-2-200222220000-2-2-2-2-2-2-2-2-2-222222-22-22-22000000000000000000000000-22-22-22-2-222-222-2-2-2220000000000000000002-200000000
χ452-2-2222-12-2-2-21122-1-2-2002-1-1-1-1−i3i3−i3i3-2-2111111112-1-1-1-12-22-2-11000000−i3i3−i3i3−i3−i3i3i300−i3i3−i3i3−i3−i3i3i32-2-11-11-1-1112-22-2-1-11100000000000000−i3i3−i3i3-1100000000
χ462-2-2222-12-2-2-21122-1-2-2002-1-1-1-1−i3i3−i3i3-2-2111111112-1-1-1-12-22-2-11000000−i3i3−i3i3−i3−i3i3i300−i3i3−i3i3−i3−i3i3i32-2-11-11-1-111-22-2211-1-100000000000000i3−i3i3−i31-100000000
χ472-2-2222-12-2-2-21122-1-2-2002-1-1-1-1i3−i3i3−i3-2-2111111112-1-1-1-12-22-2-11000000i3−i3i3−i3i3i3−i3−i300i3−i3i3−i3i3i3−i3−i32-2-11-11-1-1112-22-2-1-11100000000000000i3−i3i3−i3-1100000000
χ482-2-2222-12-2-2-21122-1-2-2002-1-1-1-1i3−i3i3−i3-2-2111111112-1-1-1-12-22-2-11000000i3−i3i3−i3i3i3−i3−i300i3−i3i3−i3i3i3−i3−i32-2-11-11-1-111-22-2211-1-100000000000000−i3i3−i3i31-100000000
χ492-2-2222-1-22-2-21122-1-2-2002-1-1-1-1−i3i3i3−i3-2-2111111112-1-1-1-1-22-221-1000000−i3i3−i3i3−i3−i3i3i300i3−i3i3−i3i3i3−i3−i3-221-11-111-1-12-2-22-1-11100000000000000−i3i3i3−i31-100000000
χ502-2-2222-1-22-2-21122-1-2-2002-1-1-1-1−i3i3i3−i3-2-2111111112-1-1-1-1-22-221-1000000−i3i3−i3i3−i3−i3i3i300i3−i3i3−i3i3i3−i3−i3-221-11-111-1-1-222-211-1-100000000000000i3−i3−i3i3-1100000000
χ512-2-2222-1-22-2-21122-1-2-2002-1-1-1-1i3−i3−i3i3-2-2111111112-1-1-1-1-22-221-1000000i3−i3i3−i3i3i3−i3−i300−i3i3−i3i3−i3−i3i3i3-221-11-111-1-12-2-22-1-11100000000000000i3−i3−i3i31-100000000
χ522-2-2222-1-22-2-21122-1-2-2002-1-1-1-1i3−i3−i3i3-2-2111111112-1-1-1-1-22-221-1000000i3−i3i3−i3i3i3−i3−i300−i3i3−i3i3−i3−i3i3i3-221-11-111-1-1-222-211-1-100000000000000−i3i3i3−i3-1100000000
χ5344444-2-2444-2-2-24-2-24-244-2-2111-2-2-2-2-2-2-2-2111111-2-211144-2-2-2-24-24-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000
χ5444444-2-2444-2-2-24-2-24-2-4-4-2-21112222-2-2-2-2111111-2-211144-2-2-2-2-42-422222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000
χ5544444-2-2-4-44-2-2-24-2-24-24-4-2-2111-2-222-2-2-2-2111111-2-2111-4-422224-2-42-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000
χ5644444-2-2-4-44-2-2-24-2-24-2-44-2-211122-2-2-2-2-2-2111111-2-2111-4-42222-424-22222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000
χ574444-24-244-24-2-2-24-2-2444-21-211-2-2-2-2-2-211-2-21111-21-211-2-244-2-2-24-24-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000
χ584444-24-244-24-2-2-24-2-24-4-4-21-2112222-2-211-2-21111-21-211-2-244-2-22-42-422-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000
χ594444-24-2-4-4-24-2-2-24-2-244-4-21-211-2-222-2-211-2-21111-21-21122-4-422-242-4-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000
χ604444-24-2-4-4-24-2-2-24-2-24-44-21-21122-2-2-2-211-2-21111-21-21122-4-4222-4-2422-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000
χ614444-2-2444-2-244-2-24-2-2441-2-211444411-2-2-2-211111-2-211-2-2-2-244-2-2-2-211-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000
χ624444-2-2444-2-244-2-24-2-2-4-41-2-211-4-4-4-411-2-2-2-211111-2-211-2-2-2-2442222-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000
χ634444-2-24-4-4-2-244-2-24-2-24-41-2-21144-4-411-2-2-2-211111-2-2112222-4-4-2-22211-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ644444-2-24-4-4-2-244-2-24-2-2-441-2-211-4-44411-2-2-2-211111-2-2112222-4-422-2-2-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000
χ654444-2-2-244-2-2-2-2-2-2-2-2-244111−1−3i32−1+3i32-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000
χ664444-2-2-244-2-2-2-2-2-2-2-2-244111−1+3i32−1−3i32-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000
χ674444-2-2-244-2-2-2-2-2-2-2-2-2-4-4111−1−3i32−1+3i322222111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-22222-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000
χ684444-2-2-244-2-2-2-2-2-2-2-2-2-4-4111−1+3i32−1−3i322222111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-22222-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000
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χ7344-4-4444004-44-4-4-4-4-44004444400004-44-44-44-44-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ7444-4-444-2004-4-22-4-42-44004-2-2-2-200004-4-22-22-22-22-4222200000000000000000000000000000000000000000000−2i32i3−2i32i30000000000000000000000000000
χ7544-4-444-2004-4-22-4-42-44004-2-2-2-200004-4-22-22-22-22-42222000000000000000000000000000000000000000000002i3−2i32i3−2i30000000000000000000000000000
χ7644-4-44-2400424-4-42-4-4-200-24-2-2-20000-224-4-22-22-222-4222000000000000000000000000000000000000000000000000000000000000−2i32i300000000000000
χ7744-4-44-2400424-4-42-4-4-200-24-2-2-20000-224-4-22-22-222-42220000000000000000000000000000000000000000000000000000000000002i3−2i300000000000000
χ7844-4-4-24400-2-44-42-4-42400-2-24-2-20000-22-224-4-22-2222-4220000000000000000000000000000000000000000000000000000000000000000000023−23000000
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χ834-44-44-2400-4-2-44-42-44200-24-2-2-200002-2-442-22-22-22-4222000000000000000000000000000000000000000000000000000000000000000000000023−230000
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χ864-44-4-2440024-442-4-4-2-400-2-24-2-200002-22-2-442-22-222-42200000000000000000000000000000000000000000000000000000000002i3−2i30000000000000000
χ874-4-444-244-4-42-4-44-24-4200-24-2-2-2000022-4-4222222-24-2-2-24-4-224-4000000000000000000000000-224-4-22-2-222000000000000000000000000000000000000
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χ894-4-444-2-24-4-42224-2-2-4200-2-2111−2i32i3−2i32i32222-1-1-1-1-1-1-2-21114-4-22-22000000−2i32i3i3−i3i3i3−i3−i300−2i32i3i3−i3i3i3−i3−i3-22-221-111-1-1000000000000000000000000000000000000
χ904-4-444-2-24-4-42224-2-2-4200-2-21112i3−2i32i3−2i32222-1-1-1-1-1-1-2-21114-4-22-220000002i3−2i3−i3i3−i3−i3i3i3002i3−2i3−i3i3−i3−i3i3i3-22-221-111-1-1000000000000000000000000000000000000
χ914-4-444-2-2-44-42224-2-2-4200-2-2111−2i32i32i3−2i32222-1-1-1-1-1-1-2-2111-442-22-2000000−2i32i3i3−i3i3i3−i3−i3002i3−2i3−i3i3−i3−i3i3i32-22-2-11-1-111000000000000000000000000000000000000
χ924-4-444-2-2-44-42224-2-2-4200-2-21112i3−2i3−2i32i32222-1-1-1-1-1-1-2-2111-442-22-20000002i3−2i3−i3i3−i3−i3i3i300−2i32i3i3−i3i3i3−i3−i32-22-2-11-1-111000000000000000000000000000000000000
χ934-4-44-2444-42-4-4-4-2442-400-2-24-2-200002222-4-42222-2-24-2-2-224-44-4000000000000000000000000-22-224-4-2-222000000000000000000000000000000000000
χ944-4-44-244-442-4-4-4-2442-400-2-24-2-200002222-4-42222-2-24-2-22-2-44-440000000000000000000000002-22-2-4422-2-2000000000000000000000000000000000000
χ954-4-44-24-24-42-422-24-22-400-21-211−2i32i3−2i32i322-1-122-1-1-1-1-21-211-224-4-22000000i3−i3−2i32i3i3i3−i3−i300i3−i3−2i32i3i3i3−i3−i3-221-1-2211-1-1000000000000000000000000000000000000
χ964-4-44-24-24-42-422-24-22-400-21-2112i3−2i32i3−2i322-1-122-1-1-1-1-21-211-224-4-22000000−i3i32i3−2i3−i3−i3i3i300−i3i32i3−2i3−i3−i3i3i3-221-1-2211-1-1000000000000000000000000000000000000
χ974-4-44-24-2-442-422-24-22-400-21-211−2i32i32i3−2i322-1-122-1-1-1-1-21-2112-2-442-2000000i3−i3−2i32i3i3i3−i3−i300−i3i32i3−2i3−i3−i3i3i32-2-112-2-1-111000000000000000000000000000000000000
χ984-4-44-24-2-442-422-24-22-400-21-2112i3−2i3−2i32i322-1-122-1-1-1-1-21-2112-2-442-2000000−i3i32i3−2i3−i3−i3i3i300i3−i3−2i32i3i3i3−i3−i32-2-112-2-1-111000000000000000000000000000000000000
χ994-4-44-2-244-422-4-4-2-2422001-2-2110000-1-12222-1-1-1-11-2-211-22-224-400003-300003-3-333-300003-3-331-1-22-2211-1-1000000000000000000000000000000000000
χ1004-4-44-2-244-422-4-4-2-2422001-2-2110000-1-12222-1-1-1-11-2-211-22-224-40000-330000-333-3-330000-333-31-1-22-2211-1-1000000000000000000000000000000000000
χ1014-4-44-2-24-4422-4-4-2-2422001-2-2110000-1-12222-1-1-1-11-2-2112-22-2-4400003-300003-3-33-330000-333-3-112-22-2-1-111000000000000000000000000000000000000
χ1024-4-44-2-24-4422-4-4-2-2422001-2-2110000-1-12222-1-1-1-11-2-2112-22-2-440000-330000-333-33-300003-3-33-112-22-2-1-111000000000000000000000000000000000000
χ1034-4-44-2-2-24-42222-2-2-22200111−1−3i32−1+3i32−2i32i3−2i32i3-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i32-22-22-2200003-3i3−i3i3−i3−3−i323−i323+i32−3+i323-3i3−i3i3−i3−3−i323−i323+i32−3+i321-11-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000000
χ1044-4-44-2-2-24-42222-2-2-22200111−1−3i32−1+3i322i3−2i32i3−2i3-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i32-22-22-220000-33−i3i3−i3i33+i32−3+i32−3−i323−i32-33−i3i3−i3i33+i32−3+i32−3−i323−i321-11-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000000
χ1054-4-44-2-2-24-42222-2-2-22200111−1+3i32−1−3i32−2i32i3−2i32i3-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32-22-22-220000-33i3−i3i3−i33−i32−3−i32−3+i323+i32-33i3−i3i3−i33−i32−3−i32−3+i323+i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000000
χ1064-4-44-2-2-24-42222-2-2-22200111−1+3i32−1−3i322i3−2i32i3−2i3-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32-22-22-2200003-3−i3i3−i3i3−3+i323+i323−i32−3−i323-3−i3i3−i3i3−3+i323+i323−i32−3−i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000000
χ1074-4-44-2-2-2-442222-2-2-22200111−1−3i32−1+3i32−2i32i32i3−2i3-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i322-22-22-200003-3i3−i3i3−i3−3−i323−i323+i32−3+i32-33−i3i3−i3i33+i32−3+i32−3−i323−i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000000
χ1084-4-44-2-2-2-442222-2-2-22200111−1−3i32−1+3i322i3−2i3−2i32i3-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i322-22-22-20000-33−i3i3−i3i33+i32−3+i32−3−i323−i323-3i3−i3i3−i3−3−i323−i323+i32−3+i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000000
χ1094-4-44-2-2-2-442222-2-2-22200111−1+3i32−1−3i32−2i32i32i3−2i3-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i322-22-22-20000-33i3−i3i3−i33−i32−3−i32−3+i323+i323-3−i3i3−i3i3−3+i323+i323−i32−3−i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000000
χ1104-4-44-2-2-2-442222-2-2-22200111−1+3i32−1−3i322i3−2i3−2i32i3-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i322-22-22-200003-3−i3i3−i3i3−3+i323+i323−i32−3−i32-33i3−i3i3−i33−i32−3−i32−3+i323+i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000000
χ11188-8-88-4-40084-44-844-8-400-4-42220000-44-442-22-22-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-48-400-4-8-444-844800-42-4220000-442-2-442-22-24-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ11388-8-8-4-4800-448-844-84-4002-4-42200002-2-44-442-22-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ11488-8-8-4-4-400-44-444444-400222−1−3i3−1+3i300002-22-22-2−1−3i31+3i3−1+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8-4-4-400-44-444444-400222−1+3i3−1−3i300002-22-22-2−1+3i31−3i3−1−3i31+3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-88-4-400-8-44-4-8448400-4-422200004-44-4-22-22-2244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-8-48-400484-44-84-4-800-42-42200004-4-224-4-22-224-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-4-48004-4-8844-8-44002-4-4220000-224-44-4-22-22-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4-4004-44-4444-4400222−1−3i3−1+3i30000-22-22-221+3i3−1−3i31−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-4-4-4004-44-4444-4400222−1+3i3−1−3i30000-22-22-221−3i3−1+3i31+3i3−1−3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).