Finite Group Databasebeta

← Group #13170735

Character table — Group #13170735

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222333344444444444444444444466666666666688888888888881212121212121212121212121212121212121212121212121212121818181818182424242424242424242436363636363636363636363636545472108
order122233366666666644443334666666666121212121212121222221212121212121212366612121212121212121224466666666661212121212121212121212121212224444666666612121244466121212121212121244122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-111111111111111111111111-1-1-1111111-1-11111-1-111111111-1-111-1-11-1-11111-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111111111-11111-1-1-1-1-1-11111111111111111-1-1-1-111-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1111111-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1
χ611111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-111-1-11111-11-1-111-1-111-1-1-1-111
χ711111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-111-1-1-1-111-1-111-1-111
χ811111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11-1-1-1-11111111-11111-1-1-1-11111-1-1
χ91111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-111111111111111-111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-1-1-11-1
χ101111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-11-1-1-1-11111-1-1-1-111-11
χ111111111111111111-1-1-1-1111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111-1-1111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1111-11-1-1-1-1-1-1-1111111-11
χ121111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1
χ131111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-1-111-11111-1-1-1-111-1-1-11
χ141111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-111-1-1111-111-1-1-1-111-1-111111-1
χ151111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-111-1-1111111-1-1-1-1-1-11111-1-111-1-1111-1-111-1-1-11-11-1-111-1-111-1-1111-1
χ161111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-111111111111-1-1-1-111111-1-1-111-1-11111-1-1-1-1-11
χ17222222-12-12-12-122200002-1-12-1-1-12-1-122-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1202222222-1-1-1-100002200000000220000-1-1-1-1-1-1-1-1-1-1002-1-10000000000-10
χ18222222-12-12-12-122200002-1-12-1-1-12-1-122-12222222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-120-2-2-22222-1-1110000-2-200000000-2-20000-111-1-1-1-111100-211000000000010
χ19222222-12-12-12-122200002-1-12-1-1-12-1-122-122222222-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-20222-2-2-2-211-1-100002200000000-2-200001-1-11111-1-1-100-211000000000010
χ20222222-12-12-12-122200002-1-12-1-1-12-1-122-122222222-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-20-2-2-2-2-2-2-211110000-2-2000000002200001111111111002-1-10000000000-10
χ21222222-12-12-12-122200002-1-1-2-1-1-12-1-122-1-2-2-2-2-2-2-2-2222200000000-1-1-1-1111111111-20-22222-2-2-1-1-1-10000-2-2000000002200001-1-1-1-11111100-2-1-1000000000010
χ22222222-12-12-12-122200002-1-1-2-1-1-12-1-122-1-2-2-2-2-2-2-2-222-2-200000000-1-1-1-1111111111-202-2-222-2-2-1-11100002200000000-2-20000111-1-111-1-1-1002110000000000-10
χ23222222-12-12-12-122200002-1-1-2-1-1-12-1-122-1-2-2-2-2-2-2-2-2-2-22200000000-1-1-1-111111111120-222-2-22211-1-10000-2-200000000-2-20000-1-1-111-1-1111002110000000000-10
χ24222222-12-12-12-122200002-1-1-2-1-1-12-1-122-1-2-2-2-2-2-2-2-2-2-2-2-200000000-1-1-1-1111111111202-2-2-2-222111100002200000000220000-11111-1-1-1-1-100-2-1-1000000000010
χ2522222-12-12-122222-12222-12-122-1-1-12-1-1-12-1-122-1-1-1-122002222-1-1-1-1-1-1-1-1222-1-1-1-1-1-122000-1-1-1-12200-1-12200-1-1-1-1-1-1-1-1002200200-1-1-1-1000020000000-1-1-1-10000
χ2622222-12-12-122222-12222-12-122-1-1-12-1-1-12-1-122-1-1-1-1-2-2002222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-220001111-2-200-1-12200-1-1-1-1-1-1-1-100-2-200-20011110000-2000000011110000
χ2722222-12-12-122222-12222-12-1-22-1-1-12-1-1-1211-2-2111122002222-1-1-1-1-1-1-1-1-2-2-2111111-2-2000-1-111220011-2-200-1-1-1-11111002200-200-1-1110000-20000000-1-1110000
χ2822222-12-12-122222-12222-12-1-22-1-1-12-1-1-1211-2-21111-2-2002222-1-1-1-1-1-1-1-1-2-2-21111112-200011-1-1-2-20011-2-200-1-1-1-1111100-2-20020011-1-100002000000011-1-10000
χ2922222-12-12-122222-1-2-2-2-2-12-122-1-1-12-1-1-12-1-122-1-1-1-12200-2-2-2-21111-1-1-1-1222-1-1-1-1-1-12-2000-1-1-1-1220011-2-2001111111100-2-200200-1-1-1-10000-2000000011110000
χ3022222-12-12-122222-1-2-2-2-2-12-122-1-1-12-1-1-12-1-122-1-1-1-1-2-200-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-2-20001111-2-20011-2-20011111111002200-2001111000020000000-1-1-1-10000
χ3122222-12-12-122222-1-2-2-2-2-12-1-22-1-1-12-1-1-1211-2-211112200-2-2-2-21111-1-1-1-1-2-2-2111111-22000-1-1112200-1-122001111-1-1-1-100-2-200-200-1-11100002000000011-1-10000
χ3222222-12-12-122222-1-2-2-2-2-12-1-22-1-1-12-1-1-1211-2-21111-2-200-2-2-2-21111-1-1-1-1-2-2-21111112200011-1-1-2-200-1-122001111-1-1-1-100220020011-1-10000-20000000-1-1110000
χ332222-1222222-12-1-122222-1-122-122-1-12-1-1-122-1-1-1-1-1-10022-1-1-1-12222-1-1-1-12-1-122-1-1-1-1022-1-10000002222-1-1-1-1-1-1-1-1-1-1-1-10000220-1-100002-1-120000-1-1-1-100000000
χ342222-1222222-12-1-122222-1-122-122-1-12-1-1-122-1-1-1-1-1-100-2-2-1-1-1-12222-1-1-1-12-1-122-1-1-1-102-211000000-2-222-1-111-1-1-1-1-1-1-1-10000-2-20110000-211-20000111100000000
χ352222-1222222-12-1-122222-1-12-2-122-1-12-1-1-1-2-21111110022-1-1-1-12222-1-1-1-1-211-2-211110-2-2-1-100000022-2-21111-1-1-1-111110000220-1-10000-211-2000011-1-100000000
χ362222-1222222-12-1-122222-1-12-2-122-1-12-1-1-1-2-211111100-2-2-1-1-1-12222-1-1-1-1-211-2-211110-2211000000-2-2-2-211-1-1-1-1-1-111110000-2-201100002-1-120000-1-11100000000
χ372222-1222222-12-1-12-2-2-2-2-1-122-122-1-12-1-1-122-1-1-1-1-1-100221111-2-2-2-2-1-1-1-12-1-122-1-1-1-10-22-1-100000022-2-211-1-1111111110000-2-20-1-100002-1-1-20000111100000000
χ382222-1222222-12-1-12-2-2-2-2-1-122-122-1-12-1-1-122-1-1-1-1-1-100-2-21111-2-2-2-2-1-1-1-12-1-122-1-1-1-10-2-211000000-2-2-2-21111111111110000220110000-21120000-1-1-1-100000000
χ392222-1222222-12-1-12-2-2-2-2-1-12-2-122-1-12-1-1-1-2-211111100221111-2-2-2-2-1-1-1-1-211-2-2111102-2-1-10000002222-1-1111111-1-1-1-10000-2-20-1-10000-21120000-1-11100000000
χ402222-1222222-12-1-12-2-2-2-2-1-12-2-122-1-12-1-1-1-2-211111100-2-21111-2-2-2-2-1-1-1-1-211-2-2111102211000000-2-222-1-1-1-11111-1-1-1-100002201100002-1-1-2000011-1-100000000
χ4122-2-2222-2-2222-2-2-2-22i2i−2i−2i2220-22-2-2-2-22-220000000000002i2i−2i−2i2i2i−2i−2i22-2-200000000000000000000000000002i2i−2i−2i00002-2000000000000000002-2000000002i−2i00
χ4222-2-2222-2-2222-2-2-2-22i2i−2i−2i2220-22-2-2-2-22-220000000000002i2i−2i−2i2i2i−2i−2i22-2-200000000000000000000000000002i2i−2i−2i0000-2200000000000000000-2200000000−2i2i00
χ4322-2-2222-2-2222-2-2-2-2−2i−2i2i2i2220-22-2-2-2-22-22000000000000−2i−2i2i2i−2i−2i2i2i22-2-20000000000000000000000000000−2i−2i2i2i00002-2000000000000000002-200000000−2i2i00
χ4422-2-2222-2-2222-2-2-2-2−2i−2i2i2i2220-22-2-2-2-22-22000000000000−2i−2i2i2i−2i−2i2i2i22-2-20000000000000000000000000000−2i−2i2i2i0000-2200000000000000000-22000000002i−2i00
χ452-22-222222-2-2-2-22-2-22i−2i2i−2i2220-2-2-2222-2-2-2000000002-2002i−2i2i−2i2i−2i2i−2i2-2-22000000000000002-2002-2000000002i−2i2i−2i0000002i−2i000002-2000000000000002i−2i000000
χ462-22-222222-2-2-2-22-2-22i−2i2i−2i2220-2-2-2222-2-2-200000000-22002i−2i2i−2i2i−2i2i−2i2-2-2200000000000000-2200-22000000002i−2i2i−2i000000−2i2i00000-2200000000000000−2i2i000000
χ472-22-222222-2-2-2-22-2-2−2i2i−2i2i2220-2-2-2222-2-2-2000000002-200−2i2i−2i2i−2i2i−2i2i2-2-22000000000000002-2002-200000000−2i2i−2i2i000000−2i2i000002-200000000000000−2i2i000000
χ482-22-222222-2-2-2-22-2-2−2i2i−2i2i2220-2-2-2222-2-2-200000000-2200−2i2i−2i2i−2i2i−2i2i2-2-2200000000000000-2200-2200000000−2i2i−2i2i0000002i−2i00000-22000000000000002i−2i000000
χ492-22-22-12-121-2-2-22-212i−2i2i−2i-12-10-211-12-111-2−i3i300−i3−i3i3i32-2002i−2i2i−2i−ii−ii-111-1000−i3i3−i3−i3i3i300000-11−i3i32-2003−30000−ii−ii33−3−3002i−2i00000-11−i3i3000000000000−ii3−30000
χ502-22-22-12-121-2-2-22-212i−2i2i−2i-12-10-211-12-111-2−i3i300−i3−i3i3i3-22002i−2i2i−2i−ii−ii-111-1000−i3i3−i3−i3i3i3000001-1i3−i3-22003−30000−ii−ii33−3−300−2i2i000001-1i3−i3000000000000i−i−330000
χ512-22-22-12-121-2-2-22-212i−2i2i−2i-12-10-211-12-111-2i3−i300i3i3−i3−i32-2002i−2i2i−2i−ii−ii-111-1000i3−i3i3i3−i3−i300000-11i3−i32-200−330000−ii−ii−3−333002i−2i00000-11i3−i3000000000000−ii−330000
χ522-22-22-12-121-2-2-22-212i−2i2i−2i-12-10-211-12-111-2i3−i300i3i3−i3−i3-22002i−2i2i−2i−ii−ii-111-1000i3−i3i3i3−i3−i3000001-1−i3i3-2200−330000−ii−ii−3−33300−2i2i000001-1−i3i3000000000000i−i3−30000
χ532-22-22-12-121-2-2-22-21−2i2i−2i2i-12-10-211-12-111-2−i3i300−i3−i3i3i32-200−2i2i−2i2ii−ii−i-111-1000−i3i3−i3−i3i3i300000-11−i3i32-200−330000i−ii−i−3−33300−2i2i00000-11−i3i3000000000000i−i−330000
χ542-22-22-12-121-2-2-22-21−2i2i−2i2i-12-10-211-12-111-2−i3i300−i3−i3i3i3-2200−2i2i−2i2ii−ii−i-111-1000−i3i3−i3−i3i3i3000001-1i3−i3-2200−330000i−ii−i−3−333002i−2i000001-1i3−i3000000000000−ii3−30000
χ552-22-22-12-121-2-2-22-21−2i2i−2i2i-12-10-211-12-111-2i3−i300i3i3−i3−i32-200−2i2i−2i2ii−ii−i-111-1000i3−i3i3i3−i3−i300000-11i3−i32-2003−30000i−ii−i33−3−300−2i2i00000-11i3−i3000000000000i−i3−30000
χ562-22-22-12-121-2-2-22-21−2i2i−2i2i-12-10-211-12-111-2i3−i300i3i3−i3−i3-2200−2i2i−2i2ii−ii−i-111-1000i3−i3i3i3−i3−i3000001-1−i3i3-22003−30000i−ii−i33−3−3002i−2i000001-1−i3i3000000000000−ii−330000
χ572-2-22222-2-2-2-2-22-2222-2-2222202-22-2-2-2-22-200000000002-22-2-222-2-222-22-20000000000002-20000002-20000002-2-22000000002-202-2000000000000002-200000000
χ582-2-22222-2-2-2-2-22-2222-2-2222202-22-2-2-2-22-20000000000-222-2-222-2-222-22-2000000000000-22000000-220000002-2-2200000000-220-2200000000000000-2200000000
χ592-2-22222-2-2-2-2-22-222-222-222202-22-2-2-2-22-200000000002-2-222-2-222-22-22-20000000000002-20000002-2000000-222-200000000-2202-200000000000000-2200000000
χ602-2-22222-2-2-2-2-22-222-222-222202-22-2-2-2-22-20000000000-22-222-2-222-22-22-2000000000000-22000000-22000000-222-2000000002-20-22000000000000002-200000000
χ612-2-22-122-2-2-2-2121-122-2-22-1-120-1-2211-21-11003−33−33−3002-2-111-12-2-22-11-1103−3003−33−3000-110000002-2003−33−3-111-13−33−300002-20-11000003−3000003−3-1100000000
χ622-2-22-122-2-2-2-2121-122-2-22-1-120-1-2211-21-11003−33−33−300-22-111-12-2-22-11-1103−3003−33−30001-1000000-22003−3−33-111-13−33−30000-2201-100000−3300000−331-100000000
χ632-2-22-122-2-2-2-2121-122-2-22-1-120-1-2211-21-1100−33−33−33002-2-111-12-2-22-11-110−3300−33−33000-110000002-200−33−33-111-1−33−3300002-20-1100000−3300000−33-1100000000
χ642-2-22-122-2-2-2-2121-122-2-22-1-120-1-2211-21-1100−33−33−3300-22-111-12-2-22-11-110−3300−33−330001-1000000-2200−333−3-111-1−33−330000-2201-1000003−3000003−31-100000000
χ652-2-22-122-2-2-2-2121-12-222-2-1-120-1-2211-21-11003−33−33−3002-21-1-11-222-2-11-1103−3003−33−3000-110000002-200−333−31-1-11−33−330000-220-11000003−300000−331-100000000
χ662-2-22-122-2-2-2-2121-12-222-2-1-120-1-2211-21-11003−33−33−300-221-1-11-222-2-11-1103−3003−33−30001-1000000-2200−33−331-1-11−33−3300002-201-100000−33000003−3-1100000000
χ672-2-22-122-2-2-2-2121-12-222-2-1-120-1-2211-21-1100−33−33−33002-21-1-11-222-2-11-110−3300−33−33000-110000002-2003−3−331-1-113−33−30000-220-1100000−33000003−31-100000000
χ682-2-22-122-2-2-2-2121-12-222-2-1-120-1-2211-21-1100−33−33−3300-221-1-11-222-2-11-110−3300−33−330001-1000000-22003−33−31-1-113−33−300002-201-1000003−300000−33-1100000000
χ6944444-2-2-2-2-2-24-244-20000-2-214-211-2-21-2-2-2-2-244-2-2-2-24400000000001111-2-2-211111140000-2-2-2-2-2-20000000000000000000000-200111100000000000000000000
χ7044444-2-2-2-2-2-24-244-20000-2-214-211-2-21-2-2-2-2-244-2-2-2-2-4-400000000001111-2-2-2111111-400002222220000000000000000000000200-1-1-1-100000000000000000000
χ7144444-2-2-2-2-2-24-244-20000-2-21-4-211-2-21-2-2-222-4-422224400000000001111222-1-1-1-1-1-1-40000-2-222-2-2000000000000000000000020011-1-100000000000000000000
χ7244444-2-2-2-2-2-24-244-20000-2-21-4-211-2-21-2-2-222-4-42222-4-400000000001111222-1-1-1-1-1-14000022-2-2220000000000000000000000-200-1-11100000000000000000000
χ734444-24-24-24-2-2-2-2-240000-21-241-2-2-21-2-2-2144-2-2-2-2-2-20044000000001111-211-2-21111004-2-2000000-2-20000-2-2000000000000000110000-21100000000000000000
χ744444-24-24-24-2-2-2-2-240000-21-241-2-2-21-2-2-2144-2-2-2-2-2-200-4-4000000001111-211-2-2111100-42200000022000022000000000000000-1-100002-1-100000000000000000
χ754444-24-24-24-2-2-2-2-240000-21-2-41-2-2-21-2-2-21-4-422222200440000000011112-1-122-1-1-1-100-4-2-2000000-2-20000220000000000000001100002-1-100000000000000000
χ764444-24-24-24-2-2-2-2-240000-21-2-41-2-2-21-2-2-21-4-422222200-4-40000000011112-1-122-1-1-1-100422000000220000-2-2000000000000000-1-10000-21100000000000000000
χ774444-2-24-24-24-24-2-2-244441-2-24-2-2-21-2-211-2-2-2-2-211110000-2-2-2-2-2-2-2-211114-2-2-2-211110400000000000-2-2-2-20011111111000000000000000000000000000000000
χ784444-2-24-24-24-24-2-2-244441-2-2-4-2-2-21-2-211-22222-1-1-1-10000-2-2-2-2-2-2-2-21111-42222-1-1-1-10-4000000000002222001111-1-1-1-1000000000000000000000000000000000
χ794444-2-24-24-24-24-2-2-2-4-4-4-41-2-24-2-2-21-2-211-2-2-2-2-2111100002222222211114-2-2-2-211110-400000000000222200-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ804444-2-24-24-24-24-2-2-2-4-4-4-41-2-2-4-2-2-21-2-211-22222-1-1-1-10000222222221111-42222-1-1-1-10400000000000-2-2-2-200-1-1-1-11111000000000000000000000000000000000
χ8144-4-444-2-424-242-4-4-400004-2-202-22-4224-4-200000000000000000000-2-2220000000000000000000000000000000000004-400000000000000000-22000000000000
χ8244-4-444-2-424-242-4-4-400004-2-202-22-4224-4-200000000000000000000-2-222000000000000000000000000000000000000-44000000000000000002-2000000000000
χ8344-4-44-242-4-244-4-4-424i4i−4i−4i-24-20-4-222-42-2240000000000004i4i−4i−4i−2i−2i2i2i-2-2220000000000000000000000000000−2i−2i2i2i0000000000000000000000000000000000000
χ8444-4-44-242-4-244-4-4-42−4i−4i4i4i-24-20-4-222-42-224000000000000−4i−4i4i4i2i2i−2i−2i-2-22200000000000000000000000000002i2i−2i−2i0000000000000000000000000000000000000
χ8544-4-4-244-4-444-2-422-44i4i−4i−4i-2-24024-422-4-22-2000000000000−2i−2i2i2i4i4i−4i−4i-2-2220000000000000000000000000000−2i−2i2i2i0000000000000000000000000000000000000
χ8644-4-4-244-4-444-2-422-4−4i−4i4i4i-2-24024-422-4-22-20000000000002i2i−2i−2i−4i−4i4i4i-2-22200000000000000000000000000002i2i−2i−2i0000000000000000000000000000000000000
χ8744-4-4-2-242-4-24-2-42224i4i−4i−4i1-2-202-22-1221-1-200003i−3i−3i3i0000−2i−2i2i2i−2i−2i2i2i11-1-1000003i−3i−3i3i0000000000000000000ii−i−i-333-3000000000000000000000000000000000
χ8844-4-4-2-242-4-24-2-42224i4i−4i−4i1-2-202-22-1221-1-20000−3i3i3i−3i0000−2i−2i2i2i−2i−2i2i2i11-1-100000−3i3i3i−3i0000000000000000000ii−i−i3-3-33000000000000000000000000000000000
χ8944-4-4-2-242-4-24-2-4222−4i−4i4i4i1-2-202-22-1221-1-200003i−3i−3i3i00002i2i−2i−2i2i2i−2i−2i11-1-1000003i−3i−3i3i0000000000000000000−i−iii3-3-33000000000000000000000000000000000
χ9044-4-4-2-242-4-24-2-4222−4i−4i4i4i1-2-202-22-1221-1-20000−3i3i3i−3i00002i2i−2i−2i2i2i−2i−2i11-1-100000−3i3i3i−3i0000000000000000000−i−iii-333-3000000000000000000000000000000000
χ914-44-444-24-2-42-424-4-400004-2-202224-2-2-4-42000000004-40000000000-222-2000000000000004-400-220000000000000000000000000-220000000000000000000000
χ924-44-444-24-2-42-424-4-400004-2-202224-2-2-4-4200000000-440000000000-222-200000000000000-44002-200000000000000000000000002-20000000000000000000000
χ934-44-44-2-2-2-222-424-420000-2-2102-1-1-2-21222−2i32i300−2i3−2i32i32i34-400000000001-1-11000i3−i3i3i3−i3−i300000-22−2i32i3-2200000000000000000000000001-1i3−i300000000000000000000
χ944-44-44-2-2-2-222-424-420000-2-2102-1-1-2-21222−2i32i300−2i3−2i32i32i3-4400000000001-1-11000i3−i3i3i3−i3−i3000002-22i3−2i32-20000000000000000000000000-11−i3i300000000000000000000
χ954-44-44-2-2-2-222-424-420000-2-2102-1-1-2-212222i3−2i3002i32i3−2i3−2i34-400000000001-1-11000−i3i3−i3−i3i3i300000-222i3−2i3-2200000000000000000000000001-1−i3i300000000000000000000
χ964-44-44-2-2-2-222-424-420000-2-2102-1-1-2-212222i3−2i3002i32i3−2i3−2i3-4400000000001-1-11000−i3i3−i3−i3i3i3000002-2−2i32i32-20000000000000000000000000-11i3−i300000000000000000000
χ974-44-4-24444-4-42-4-22-44i−4i4i−4i-2-2402-4-4-2-24222000000000000−2i2i−2i2i4i−4i4i−4i-222-20000000000000000000000000000−2i2i−2i2i0000000000000000000000000000000000000
χ984-44-4-24444-4-42-4-22-4−4i4i−4i4i-2-2402-4-4-2-242220000000000002i−2i2i−2i−4i4i−4i4i-222-200000000000000000000000000002i−2i2i−2i0000000000000000000000000000000000000
χ994-44-4-2-24-242-42-4-2224i−4i4i−4i1-2-202221-2-2-1-12−2i32i300i3i3−i3−i30000−2i2i−2i2i−2i2i−2i2i1-1-11000−2i32i3i3i3−i3−i3000000000000023−230000i−ii−i−3−333000000000000000000000000000000000
χ1004-44-4-2-24-242-42-4-2224i−4i4i−4i1-2-202221-2-2-1-122i3−2i300−i3−i3i3i30000−2i2i−2i2i−2i2i−2i2i1-1-110002i3−2i3−i3−i3i3i30000000000000−23230000i−ii−i33−3−3000000000000000000000000000000000
χ1014-44-4-2-24-242-42-4-222−4i4i−4i4i1-2-202221-2-2-1-12−2i32i300i3i3−i3−i300002i−2i2i−2i2i−2i2i−2i1-1-11000−2i32i3i3i3−i3−i30000000000000−23230000−ii−ii33−3−3000000000000000000000000000000000
χ1024-44-4-2-24-242-42-4-222−4i4i−4i4i1-2-202221-2-2-1-122i3−2i300−i3−i3i3i300002i−2i2i−2i2i−2i2i−2i1-1-110002i3−2i3−i3−i3i3i3000000000000023−230000−ii−ii−3−333000000000000000000000000000000000
χ1034-4-4444-2-42-42-4-2-44400004-2-20-22-2-422-44200000000004-400000000-22-220000000000004-4000000-22000000000000000000000-22000000000000000000000000
χ1044-4-4444-2-42-42-4-2-44400004-2-20-22-2-422-4420000000000-4400000000-22-22000000000000-440000002-20000000000000000000002-2000000000000000000000000
χ1054-4-444-242-42-4-44-44-24-4-44-24-2042-22-422-2-40000000000004-4-44-222-2-22-220000000000000000000000000000-222-20000000000000000000000000000000000000
χ1064-4-444-242-42-4-44-44-2-444-4-24-2042-22-422-2-4000000000000-444-42-2-22-22-2200000000000000000000000000002-2-220000000000000000000000000000000000000
χ1074-4-44-24-2-42-422-22-240000-21-2012-22-122-2-10023−2323−2323−23004-4000000001-11-10−3300−33−33000-22000000-22000023−230000000000000001-100000−3300000000000000000
χ1084-4-44-24-2-42-422-22-240000-21-2012-22-122-2-10023−2323−2323−2300-44000000001-11-10−3300−33−330002-20000002-20000−2323000000000000000-11000003−300000000000000000
χ1094-4-44-24-2-42-422-22-240000-21-2012-22-122-2-100−2323−2323−2323004-4000000001-11-103−3003−33−3000-22000000-220000−23230000000000000001-1000003−300000000000000000
χ1104-4-44-24-2-42-422-22-240000-21-2012-22-122-2-100−2323−2323−232300-44000000001-11-103−3003−33−30002-20000002-2000023−23000000000000000-1100000−3300000000000000000
χ1114-4-44-2-242-42-4242-2-24-4-441-2-20-22-2-122-1120023−23−33−330000-222-2-222-21-11-1023−2300−33−3300000000000000023−23001-1-11−33−33000000000000000000000000000000000
χ1124-4-44-2-242-42-4242-2-24-4-441-2-20-22-2-122-11200−23233−33−30000-222-2-222-21-11-10−2323003−33−3000000000000000−2323001-1-113−33−3000000000000000000000000000000000
χ1134-4-44-2-242-42-4242-2-2-444-41-2-20-22-2-122-1120023−23−33−3300002-2-222-2-221-11-1023−2300−33−33000000000000000−232300-111-13−33−3000000000000000000000000000000000
χ1144-4-44-2-242-42-4242-2-2-444-41-2-20-22-2-122-11200−23233−33−300002-2-222-2-221-11-10−2323003−33−300000000000000023−2300-111-1−33−33000000000000000000000000000000000
χ1158888-4-4-4-4-4-4-4-4-4-4-4-400002228222222222-4-4-4-42222000000000000-1-1-1-1-42222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ1168888-4-4-4-4-4-4-4-4-4-4-4-40000222-82222222224444-2-2-2-2000000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000000
χ11788-8-88-4-444-4-484-8-840000-4-42042-244-2-44-40000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-48-4-848-4-4444-80000-42-40-2-444-24-4420000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ11988-8-8-4-4-444-4-4-4444400002220-22-2-2-2-22-2200006i−6i−6i6i000000000000-1-11100000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000000
χ12088-8-8-4-4-444-4-4-4444400002220-22-2-2-2-22-220000−6i6i6i−6i000000000000-1-111000003i−3i−3i3i000000000000000000000000000000000000000000000000000000000000
χ1218-88-8-48-48-4-8444-44-80000-42-40-244-42-444-2000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-8-4-4-4-4-44444-44400002220-2-2-2222-2-2-2−4i34i3002i32i3−2i3−2i3000000000000-111-10002i3−2i3−i3−i3i3i3000000000000000000000000000000000000000000000000000000000000
χ1238-88-8-4-4-4-4-44444-44400002220-2-2-2222-2-2-24i3−4i300−2i3−2i32i32i3000000000000-111-1000−2i32i3i3i3−i3−i3000000000000000000000000000000000000000000000000000000000000
χ1248-8-888-4-44444-8-4-88-40000-4-420-4-2244-24-44000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-88-4-4-444444-44-4-4000022202-22-2-2-2-22-20043−43−2323−2323000000000000-11-110−2323003−33−3000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-4-4-444444-44-4-4000022202-22-2-2-2-22-200−434323−2323−23000000000000-11-11023−2300−33−33000000000000000000000000000000000000000000000000000000000000

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