Finite Group Databasebeta

← Group #13178715

Character table — Group #13178715

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181818181818181836363636363636363636363636363636363636363672727272
order1222333446666666663333344666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121222224444441212121222444446666666612121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1
χ511111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11111-1-111-1-1
χ611111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-1-111111111-1-1-1-1-1-111-1-111
χ711111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ811111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111
χ91111111-1-1111111111111111-1111111111111111-1-1-1-111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-11-11-1-1-111-1-1-1-111-1-1111-11-1
χ101111111-1-1111111111111111-1111111111111111-1-1-1-111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-111-11-111111-1-1-1-1-1-111-1-1-11-11
χ111111111-1-1111111111111111-1111111111111111-1-1-1-111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-111-1-1111111-1-1-1-1-111-1
χ121111111-1-1111111111111111-1111111111111111-1-1-1-111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-111-1-11-1-1-1-11111-1-111111-1-11
χ131111111-1-111111111111111-11111111111111111-1-1-1-1-1-111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111-11-1-111111-1-11111-1-1-1-11-1-11
χ141111111-1-111111111111111-11111111111111111-1-1-1-1-1-111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11-11-111-1-1-111-1-111-1-11111-111-1
χ151111111-1-111111111111111-11111111111111111-1-1-1-1-1-111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111111111-1-1-1-11-11-1-1-1-111-1-111-1-111-11-11
χ161111111-1-111111111111111-11111111111111111-1-1-1-1-1-111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-11111-1111-11-111-1-111-1-1-1-111-1-11-11-1
χ17222222-1222-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222002200-1-1-1-1200000000-1-1-1-1-1-10000000000
χ18222222-1222-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-200-2-2001111-2000000001111110000000000
χ19222222-1222-1-1222-1222-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-122-1-1111122-2-2-2-222-1-1-1-1-1-1-1-1-2-211111111-2-211111111222200-2-2001111-200000000-1-1-1-1110000000000
χ20222222-1222-1-1222-1222-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-122-1-1111122-2-2-2-222-1-1-1-1-1-1-1-1-2-211111111-2-211111111-2-2-2-2002200-1-1-1-12000000001111-1-10000000000
χ21222222-1-2-22-1-1222-1222-1-1-1-12-222-1-1-1-1-1-1-1-12-1-1-1-1-2-211-1-111-2-22-22-2-2-21111111122-1-1-1-1-1-1-1-1-2-21111111122-2-2002200-1-1-1-1-200000000-1-111110000000000
χ22222222-1-2-22-1-1222-1222-1-1-1-12-222-1-1-1-1-1-1-1-12-1-1-1-1-2-211-1-111-2-22-22-2-2-21111111122-1-1-1-1-1-1-1-1-2-211111111-2-22200-2-200111120000000011-1-1-1-10000000000
χ23222222-1-2-22-1-1222-1222-1-1-1-1-2222-1-1-1-1-1-1-1-12-1-1-1-1-2-21111-1-1-2-2-22-22-2-211111111-2-21111111122-1-1-1-1-1-1-1-122-2-200-2-2001111200000000-1-111-1-10000000000
χ24222222-1-2-22-1-1222-1222-1-1-1-1-2222-1-1-1-1-1-1-1-12-1-1-1-1-2-21111-1-1-2-2-22-22-2-211111111-2-21111111122-1-1-1-1-1-1-1-1-2-222002200-1-1-1-1-20000000011-1-1110000000000
χ2522222-1222-12222-12-12-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-1-1-122222222-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000002200000202200-1-10000000000-1-1-1-100
χ2622222-1222-12222-12-12-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-1-1-122222222-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000-2-200000-20-2-200110000000000111100
χ2722222-1222-12222-12-12-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-1-1-122-2-2-2-22211-2-2-1-122-1-1-1-1-1-111-2-211111111-2-211111100000000220000020-2-200-1-10000000000-1-11100
χ2822222-1222-12222-12-12-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-1-1-122-2-2-2-22211-2-2-1-122-1-1-1-1-1-111-2-211111111-2-211111100000000-2-200000-20220011000000000011-1-100
χ2922222-12-2-2-12222-12-12-12-1-1-12-2-1-122-1-1-1-1-1-1-12-1-1-111-2-222-2-2-2-2-112-211-2-2111111-1-122-1-1-1-1-1-111-2-2111111000000002200000-202-200110000000000-1-1-1100
χ3022222-12-2-2-12222-12-12-12-1-1-12-2-1-122-1-1-1-1-1-1-12-1-1-111-2-222-2-2-2-2-112-211-2-2111111-1-122-1-1-1-1-1-111-2-211111100000000-2-20000020-2200-1-10000000000111-100
χ3122222-12-2-2-12222-12-12-12-1-1-1-22-1-122-1-1-1-1-1-1-12-1-1-111-2-2-2-222-2-21-1-2211-2-211111111-2-2111111-1-122-1-1-1-1-1-1000000002200000-20-2200110000000000-1-11-100
χ3222222-12-2-2-12222-12-12-12-1-1-1-22-1-122-1-1-1-1-1-1-12-1-1-111-2-2-2-222-2-21-1-2211-2-211111111-2-2111111-1-122-1-1-1-1-1-100000000-2-200000202-200-1-1000000000011-1100
χ332222-12222222-1-1222-1-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-122222222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100002200000000002002200000000-1-1-1-10000-1-1
χ342222-12222222-1-1222-1-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-122222222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000-2-20000000000-200-2-2000000001111000011
χ352222-12222222-1-1222-1-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-12222-2-2-2-2-1-1-2-211-1-1-1-122-1-1-1-11111-2-211111111-2-211110000220000000000200-2-200000000-1-1-1-1000011
χ362222-12222222-1-1222-1-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-12222-2-2-2-2-1-1-2-211-1-1-1-122-1-1-1-11111-2-211111111-2-211110000-2-20000000000-200220000000011110000-1-1
χ372222-122-2-2222-1-1222-1-1-12-1-12-2-1-1-1-122-1-1-1-1-1-12-1-1-2-2-2-222-2-2112-2-111111-2-21111-1-1-1-122-1-1-1-11111-2-211110000220000000000-2002-200000000-1-1110000-11
χ382222-122-2-2222-1-1222-1-1-12-1-12-2-1-1-1-122-1-1-1-1-1-12-1-1-2-2-2-222-2-2112-2-111111-2-21111-1-1-1-122-1-1-1-11111-2-211110000-2-20000000000200-220000000011-1-100001-1
χ392222-122-2-2222-1-1222-1-1-12-1-1-22-1-1-1-122-1-1-1-1-1-12-1-1-2-2-2-2-2-22211-221-11111-2-211111111-2-21111-1-1-1-122-1-1-1-10000220000000000-200-2200000000-1-11100001-1
χ402222-122-2-2222-1-1222-1-1-12-1-1-22-1-1-1-122-1-1-1-1-1-12-1-1-2-2-2-2-2-22211-221-11111-2-211111111-2-21111-1-1-1-122-1-1-1-10000-2-200000000002002-20000000011-1-10000-11
χ412-22-222200-22-22-2-2-22-222222002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002-22i−2i2i−2i2i2i−2i−2i0000000000000002-2002i−2i0000
χ422-22-222200-22-22-2-2-22-222222002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002-2−2i2i−2i2i−2i−2i2i2i0000000000000002-200−2i2i0000
χ432-22-222200-22-22-2-2-22-222222002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000-222i−2i−2i2i2i2i−2i−2i000000000000000-2200−2i2i0000
χ442-22-222200-22-22-2-2-22-222222002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000-22−2i2i2i−2i−2i−2i2i2i000000000000000-22002i−2i0000
χ452-2-222222-2-2-2-2-2-222-222222200-2-2-2-2-2-2-2-2-2-2222222-22-200002-200002-22-22-222-2-2000000000000000000002-22-200000000000000000002-22-2000000000000
χ462-2-222222-2-2-2-2-2-222-222222200-2-2-2-2-2-2-2-2-2-2222222-22-200002-200002-22-22-222-2-200000000000000000000-22-220000000000000000000-22-22000000000000
χ472-2-22222-22-2-2-2-2-222-222222200-2-2-2-2-2-2-2-2-2-222222-22-220000-220000-22-22-22-2-222000000000000000000002-2-2200000000000000000002-2-22000000000000
χ482-2-22222-22-2-2-2-2-222-222222200-2-2-2-2-2-2-2-2-2-222222-22-220000-220000-22-22-22-2-22200000000000000000000-222-20000000000000000000-222-2000000000000
χ492-2-2222-12-2-211-2-22-1-222-1-1-1-100-2-2111111112-1-1-1-12-2-11−i3i3−i3i32-200002-2-11-11-1-11100−i3i3−i3i3−i3−i3i3i300−i3i3−i3i3−i3−i3i3i32-22-2000000−i3i3−i3i3000000000-11-11−i3i30000000000
χ502-2-2222-12-2-211-2-22-1-222-1-1-1-100-2-2111111112-1-1-1-12-2-11−i3i3−i3i32-200002-2-11-11-1-11100−i3i3−i3i3−i3−i3i3i300−i3i3−i3i3−i3−i3i3i3-22-22000000i3−i3i3−i30000000001-11-1i3−i30000000000
χ512-2-2222-12-2-211-2-22-1-222-1-1-1-100-2-2111111112-1-1-1-12-2-11i3−i3i3−i32-200002-2-11-11-1-11100i3−i3i3−i3i3i3−i3−i300i3−i3i3−i3i3i3−i3−i32-22-2000000i3−i3i3−i3000000000-11-11i3−i30000000000
χ522-2-2222-12-2-211-2-22-1-222-1-1-1-100-2-2111111112-1-1-1-12-2-11i3−i3i3−i32-200002-2-11-11-1-11100i3−i3i3−i3i3i3−i3−i300i3−i3i3−i3i3i3−i3−i3-22-22000000−i3i3−i3i30000000001-11-1−i3i30000000000
χ532-2-2222-1-22-211-2-22-1-222-1-1-1-100-2-2111111112-1-1-1-1-221-1−i3i3i3−i3-220000-221-11-111-1-100−i3i3−i3i3−i3−i3i3i300i3−i3i3−i3i3i3−i3−i32-2-22000000−i3i3−i3i3000000000-111-1i3−i30000000000
χ542-2-2222-1-22-211-2-22-1-222-1-1-1-100-2-2111111112-1-1-1-1-221-1−i3i3i3−i3-220000-221-11-111-1-100−i3i3−i3i3−i3−i3i3i300i3−i3i3−i3i3i3−i3−i3-222-2000000i3−i3i3−i30000000001-1-11−i3i30000000000
χ552-2-2222-1-22-211-2-22-1-222-1-1-1-100-2-2111111112-1-1-1-1-221-1i3−i3−i3i3-220000-221-11-111-1-100i3−i3i3−i3i3i3−i3−i300−i3i3−i3i3−i3−i3i3i32-2-22000000i3−i3i3−i3000000000-111-1−i3i30000000000
χ562-2-2222-1-22-211-2-22-1-222-1-1-1-100-2-2111111112-1-1-1-1-221-1i3−i3−i3i3-220000-221-11-111-1-100i3−i3i3−i3i3i3−i3−i300−i3i3−i3i3−i3−i3i3i3-222-2000000−i3i3−i3i30000000001-1-11i3−i30000000000
χ5744444-2-244-2-2-244-2-2-24-2-211144-2-2-2-2111111-2-2111-2-2-2-2-2-2-2-244-2-244-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000
χ5844444-2-244-2-2-244-2-2-24-2-2111-4-4-2-2-2-2111111-2-2111-2-2-2-222224422-4-4-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000
χ5944444-2-2-4-4-2-2-244-2-2-24-2-21114-4-2-2-2-2111111-2-21112222-2-222-4-4-224-42222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000
χ6044444-2-2-4-4-2-2-244-2-2-24-2-2111-44-2-2-2-2111111-2-2111222222-2-2-4-42-2-442222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000
χ614444-24-2444-2-2-2-24-24-2-21-21144-2-211-2-21111-21-21144-2-2-2-2-2-2-2-244-2-2-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000
χ624444-24-2444-2-2-2-24-24-2-21-211-4-4-2-211-2-21111-21-21144-2-22222-2-2-4-422-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000
χ634444-24-2-4-44-2-2-2-24-24-2-21-2114-4-2-211-2-21111-21-211-4-422-2-222224-4-2222-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000
χ644444-24-2-4-44-2-2-2-24-24-2-21-211-44-2-211-2-21111-21-211-4-42222-2-222-442-222-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000
χ654444-2-2444-244-2-2-24-2-21-2-2114411-2-2-2-211111-2-211-2-2444444-2-2-2-2-2-211-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000
χ664444-2-2444-244-2-2-24-2-21-2-211-4-411-2-2-2-211111-2-211-2-244-4-4-4-4-2-2222211-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000
χ674444-2-24-4-4-244-2-2-24-2-21-2-2114-411-2-2-2-211111-2-21122-4-444-4-422-22-22-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000
χ684444-2-24-4-4-244-2-2-24-2-21-2-211-4411-2-2-2-211111-2-21122-4-4-4-444222-22-2-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000
χ694444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3244111111−1−3i32−1+3i32−1−3i32−1+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+3i32000000000000000000000000000000000000000
χ704444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-4-4111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-22222-2-22222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000
χ714444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3244111111−1+3i32−1−3i32−1+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+3i32−1−3i32000000000000000000000000000000000000000
χ724444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-4-4111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-22222-2-22222111111−1+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+3i32000000000000000000000000000000000000000
χ734444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i324-4111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i322222-2-22222-22-22-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000
χ744444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-44111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32222222-2-2222-22-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000
χ754444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i324-4111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i322222-2-22222-22-22-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000
χ764444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-44111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32222222-2-2222-22-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000
χ7744-4-4444004-44-44-4-4-4-44444400-44-44-44-4-444-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ7844-4-444-20042-2-44-42-4-44-2-2-2-200-442-22-222-2-2-4222200000000000000000000000000000000000000000000000000000023−23−23230000000000000000000000000
χ7944-4-444-20042-2-44-42-4-44-2-2-2-200-442-22-222-2-2-42222000000000000000000000000000000000000000000000000000000−232323−230000000000000000000000000
χ8044-4-44-2400-2-44-442-42-4-24-2-2-2002-2-442-222-2-22-422200000000000000000000000000000000000000000000000000000000000000000−2i32i30000000000000000
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χ8244-4-4-244004-442-2-4-4-42-2-24-2-2002-22-2-4422-2-222-422000000000000000000000000000000000000000000000000000000000000000000000000000−2i32i3000000
χ8344-4-4-244004-442-2-4-4-42-2-24-2-2002-22-2-4422-2-222-4220000000000000000000000000000000000000000000000000000000000000000000000000002i3−2i3000000
χ844-44-444-200-4-224-4-424-44-2-2-2-2004-4-22-22-2-222-42222000000000000000000000000000000000000000000000000004i−4i00−2i−2i2i2i0000000000000000000000000
χ854-44-444-200-4-224-4-424-44-2-2-2-2004-4-22-22-2-222-4222200000000000000000000000000000000000000000000000000−4i4i002i2i−2i−2i0000000000000000000000000
χ864-44-44-240024-44-42-4-2-4-24-2-2-200-224-4-22-2-2222-422200000000000000000000000000000000000000000000000000004i−4i00000000000000000000000−2i2i0000
χ874-44-44-240024-44-42-4-2-4-24-2-2-200-224-4-22-2-2222-42220000000000000000000000000000000000000000000000000000−4i4i000000000000000000000002i−2i0000
χ884-44-4-24400-44-4-22-4-442-2-24-2-200-22-224-4-2-22222-4220000000000000000000000000000000000000000000000004-400000000000000000000000-2200000000
χ894-44-4-24400-44-4-22-4-442-2-24-2-200-22-224-4-2-22222-422000000000000000000000000000000000000000000000000-44000000000000000000000002-200000000
χ904-4-444-244-42-4-4-4-4-2424-24-2-2-20022-4-4222222-24-2-2-2-224-400004-40000-224-4-22-2-22200000000000000000000000000000000000000000000000000000000000
χ914-4-444-24-442-4-4-4-4-2424-24-2-2-20022-4-4222222-24-2-2-22-2-440000-4400002-2-442-222-2-200000000000000000000000000000000000000000000000000000000000
χ924-4-444-2-24-4222-4-4-2-224-2-2111002222-1-1-1-1-1-1-2-2111-22-22−2i32i3−2i32i34-40000-22-221-111-1-100−2i32i3i3−i3i3i3−i3−i300−2i32i3i3−i3i3i3−i3−i3000000000000000000000000000000000000000
χ934-4-444-2-24-4222-4-4-2-224-2-2111002222-1-1-1-1-1-1-2-2111-22-222i3−2i32i3−2i34-40000-22-221-111-1-1002i3−2i3−i3i3−i3−i3i3i3002i3−2i3−i3i3−i3−i3i3i3000000000000000000000000000000000000000
χ944-4-444-2-2-44222-4-4-2-224-2-2111002222-1-1-1-1-1-1-2-21112-22-2−2i32i32i3−2i3-4400002-22-2-11-1-11100−2i32i3i3−i3i3i3−i3−i3002i3−2i3−i3i3−i3−i3i3i3000000000000000000000000000000000000000
χ954-4-444-2-2-44222-4-4-2-224-2-2111002222-1-1-1-1-1-1-2-21112-22-22i3−2i3−2i32i3-4400002-22-2-11-1-111002i3−2i3−i3i3−i3−i3i3i300−2i32i3i3−i3i3i3−i3−i3000000000000000000000000000000000000000
χ964-4-44-2444-4-4-4-42244-4-2-2-24-2-2002222-4-42222-2-24-2-24-44-40000-220000-22-224-4-2-22200000000000000000000000000000000000000000000000000000000000
χ974-4-44-244-44-4-4-42244-4-2-2-24-2-2002222-4-42222-2-24-2-2-44-4400002-200002-22-2-4422-2-200000000000000000000000000000000000000000000000000000000000
χ984-4-44-24-24-4-422224-2-4-2-21-2110022-1-122-1-1-1-1-21-2114-4-22−2i32i3−2i32i3-220000-221-1-2211-1-100i3−i3−2i32i3i3i3−i3−i300i3−i3−2i32i3i3i3−i3−i3000000000000000000000000000000000000000
χ994-4-44-24-24-4-422224-2-4-2-21-2110022-1-122-1-1-1-1-21-2114-4-222i3−2i32i3−2i3-220000-221-1-2211-1-100−i3i32i3−2i3−i3−i3i3i300−i3i32i3−2i3−i3−i3i3i3000000000000000000000000000000000000000
χ1004-4-44-24-2-44-422224-2-4-2-21-2110022-1-122-1-1-1-1-21-211-442-2−2i32i32i3−2i32-200002-2-112-2-1-11100i3−i3−2i32i3i3i3−i3−i300−i3i32i3−2i3−i3−i3i3i3000000000000000000000000000000000000000
χ1014-4-44-24-2-44-422224-2-4-2-21-2110022-1-122-1-1-1-1-21-211-442-22i3−2i3−2i32i32-200002-2-112-2-1-11100−i3i32i3−2i3−i3−i3i3i300i3−i3−2i32i3i3i3−i3−i3000000000000000000000000000000000000000
χ1024-4-44-2-244-42-4-422-242-21-2-21100-1-12222-1-1-1-11-2-211-224-40000-2200001-1-22-2211-1-13-300003-3-333-300003-3-33000000000000000000000000000000000000000
χ1034-4-44-2-244-42-4-422-242-21-2-21100-1-12222-1-1-1-11-2-211-224-40000-2200001-1-22-2211-1-1-330000-333-3-330000-333-3000000000000000000000000000000000000000
χ1044-4-44-2-24-442-4-422-242-21-2-21100-1-12222-1-1-1-11-2-2112-2-4400002-20000-112-22-2-1-1113-300003-3-33-330000-333-3000000000000000000000000000000000000000
χ1054-4-44-2-24-442-4-422-242-21-2-21100-1-12222-1-1-1-11-2-2112-2-4400002-20000-112-22-2-1-111-330000-333-33-300003-3-33000000000000000000000000000000000000000
χ1064-4-44-2-2-24-422222-2-22-2111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-22−2i32i3−2i32i3-2200001-11-11-1−1−3i32−1+3i321+3i321−3i323-3i3−i3i3−i3−3−i323−i323+i32−3+i323-3i3−i3i3−i3−3−i323−i323+i32−3+i32000000000000000000000000000000000000000
χ1074-4-44-2-2-24-422222-2-22-2111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-222i3−2i32i3−2i3-2200001-11-11-1−1−3i32−1+3i321+3i321−3i32-33−i3i3−i3i33+i32−3+i32−3−i323−i32-33−i3i3−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000000000000000
χ1084-4-44-2-2-24-422222-2-22-2111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-22−2i32i3−2i32i3-2200001-11-11-1−1+3i32−1−3i321−3i321+3i32-33i3−i3i3−i33−i32−3−i32−3+i323+i32-33i3−i3i3−i33−i32−3−i32−3+i323+i32000000000000000000000000000000000000000
χ1094-4-44-2-2-24-422222-2-22-2111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-222i3−2i32i3−2i3-2200001-11-11-1−1+3i32−1−3i321−3i321+3i323-3−i3i3−i3i3−3+i323+i323−i32−3−i323-3−i3i3−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000
χ1104-4-44-2-2-2-4422222-2-22-2111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-2−2i32i32i3−2i32-20000-11-11-111+3i321−3i32−1−3i32−1+3i323-3i3−i3i3−i3−3−i323−i323+i32−3+i32-33−i3i3−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000000000000000
χ1114-4-44-2-2-2-4422222-2-22-2111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-22i3−2i3−2i32i32-20000-11-11-111+3i321−3i32−1−3i32−1+3i32-33−i3i3−i3i33+i32−3+i32−3−i323−i323-3i3−i3i3−i3−3−i323−i323+i32−3+i32000000000000000000000000000000000000000
χ1124-4-44-2-2-2-4422222-2-22-2111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-2−2i32i32i3−2i32-20000-11-11-111−3i321+3i32−1+3i32−1−3i32-33i3−i3i3−i33−i32−3−i32−3+i323+i323-3−i3i3−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000
χ1134-4-44-2-2-2-4422222-2-22-2111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-22i3−2i3−2i32i32-20000-11-11-111−3i321+3i32−1+3i32−1−3i323-3−i3i3−i3i3−3+i323+i323−i32−3−i32-33i3−i3i3−i33−i32−3−i32−3+i323+i32000000000000000000000000000000000000000
χ11488-8-88-4-400-44-4-88444-8-4-4222004-44-4-22-2-22244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8-48-40084-44-4-84-84-42-422004-4-224-4-2-2224-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11688-8-8-4-4800-4-884-44-8442-4-42200-224-44-4-2-222-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11788-8-8-4-4-400-44-44-44444222−1−3i3−1+3i300-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-4-4-400-44-44-44444222−1+3i3−1−3i300-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-88-4-4004-448-844-4-8-4-422200-44-442-222-2-244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-48-400-8-44-44-8484-42-42200-442-2-4422-2-24-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-8-4-480048-8-444-8-442-4-422002-2-44-4422-2-2-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-8-4-4-4004-44-4444-44222−1−3i3−1+3i3002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-8-4-4-4004-44-4444-44222−1+3i3−1−3i3002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000

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