Finite Group Databasebeta

← Group #13178685

Character table — Group #13178685

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181818181818181836363636363636363636363636363636363636363672727272
order1222223336666666662333334666666666666666666666661212666666666666666666666612121212121212121212121244444444441212121222444441212121212121212121212121212661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11-11-1-11-1-1-11111-1-1-1-1-1-1-1-11-11-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-11-1-11-1-1-1-1-1-11111-1-1-1-1-11-11
χ5111111111111111111-111111-111-1-11111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-11-11-11-1111111-1-1-1-111-1-1-11-11
χ6111111111111111111-111111-111-1-11111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-11-1-1-1111-1-1-1-1111111-1-11-11-1
χ7111111111111111111-111111-111-1-11111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-111111111-1-111-1-1-1-1
χ8111111111111111111-111111-111-1-11111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ91111-1-1111111111111111111-1-1-111-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1-111-111111-1-111-1-1-1-1111-1-11
χ101111-1-1111111111111111111-1-1-111-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-111-111-111-1-111-1-111-1-111-111-1
χ111111-1-1111111111111111111-1-1-111-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1
χ121111-1-1111111111111111111-1-1-111-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-111-1-1-1-11111-1-111-1-1-1-111
χ131111-1-1111111111111-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111111111-1-111-1-1-11111-1-1-1-111-1-1-1-1-1-111
χ141111-1-1111111111111-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1111111-1-1-11111-1-11111-1-1-1-1-1-111-1-1
χ151111-1-1111111111111-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-111-11-11-1-111-1-111-1-11111-111-1
χ161111-1-1111111111111-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-11-1-1111-1-1-1-1-111-1-11111111-1-11
χ1722222222-12-1222-12-1222-1-1-1-12222222-1-122-1-1-1-1-1-1-1-12-1-1-1-1222-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1000000002200000202002000000-1-1-1-100000-10-1
χ1822222222-12-1222-12-1222-1-1-1-12222222-1-122-1-1-1-1-1-1-1-12-1-1-1-1222-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-100000000-2-200000-20-200-2000000111100000101
χ1922222222-12-1222-12-12-22-1-1-1-1-222-2-222-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2122-1-1-1-1-1-1-1-1-2-211111111-21-2-211111111000000002200000-20-2002000000-1-1-1-100000101
χ2022222222-12-1222-12-12-22-1-1-1-1-222-2-222-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2122-1-1-1-1-1-1-1-1-2-211111111-21-2-21111111100000000-2-20000020200-2000000111100000-10-1
χ212222222-12-1222-12-1222-12-1-1-122222-1-122-1-122-1-1-1-1-1-1-12-1-1-122-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-100000022000000202002000-1-1-1-100000000-10-10
χ222222222-12-1222-12-1222-12-1-1-122222-1-122-1-122-1-1-1-1-1-1-12-1-1-122-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1000000-2-2000000-20-200-20001111000000001010
χ232222222-12-1222-12-122-2-12-1-1-1-222-2-2-1-122-1-122-1-1-1-1-1-1-12-1-1-1-2-21-2-1-122-1-1-1-1-1-111-2-21111111-211-2-211111100000022000000-20-2002000-1-1-1-1000000001010
χ242222222-12-1222-12-122-2-12-1-1-1-222-2-2-1-122-1-122-1-1-1-1-1-1-12-1-1-1-2-21-2-1-122-1-1-1-1-1-111-2-21111111-211-2-2111111000000-2-200000020200-2000111100000000-10-10
χ25222222-12222-1-12222-12-1-12-1-12-1-1-1-12222-1-1-1-122-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12222220000-1-1-1-10000200-1-100000000-1-1-1-10000
χ26222222-12222-1-12222-12-1-12-1-12-1-1-1-12222-1-1-1-122-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-2-2000011110000-200110000000011110000
χ27222222-12222-1-12222-1-2-1-12-1-1-2-1-1112222-1-1-1-122-1-1-1-1-1-12-1-111-2-2-1-1-1-122-1-1-1-11111-2-21111-2-21111-2-211112222-2-2000011110000-200-1-100000000-1-1110000
χ28222222-12222-1-12222-1-2-1-12-1-1-2-1-1112222-1-1-1-122-1-1-1-1-1-12-1-111-2-2-1-1-1-122-1-1-1-11111-2-21111-2-21111-2-21111-2-2-2-2220000-1-1-1-10000200110000000011-1-10000
χ292222-2-222-12-1222-12-1222-1-1-1-1-2-2-222-2-21122-1-1-1-1-1-1-1-12-1-1-1-1-2-22-1-2-21111111122-1-1-1-1-1-1-1-1-21-2-21111111100000000220000020-200-200000011-1-100000-101
χ302222-2-222-12-1222-12-1222-1-1-1-1-2-2-222-2-21122-1-1-1-1-1-1-1-12-1-1-1-1-2-22-1-2-21111111122-1-1-1-1-1-1-1-1-21-2-21111111100000000-2-200000-202002000000-1-1110000010-1
χ312222-2-222-12-1222-12-12-22-1-1-1-12-2-2-2-2-2-21122-1-1-1-1-1-1-1-12-1-1-1-122-21-2-211111111-2-2111111112-122-1-1-1-1-1-1-1-1000000002200000-20200-200000011-1-10000010-1
χ322222-2-222-12-1222-12-12-22-1-1-1-12-2-2-2-2-2-21122-1-1-1-1-1-1-1-12-1-1-1-122-21-2-211111111-2-2111111112-122-1-1-1-1-1-1-1-100000000-2-20000020-2002000000-1-11100000-101
χ332222-2-22-12-1222-12-1222-12-1-1-1-2-2-22211-2-2-1-122-1-1-1-1-1-1-12-1-1-1-2-2-1211-2-2111111-1-122-1-1-1-1-1-11-211-2-21111110000002200000020-200-2000-1-11100000000-1010
χ342222-2-22-12-1222-12-1222-12-1-1-1-2-2-22211-2-2-1-122-1-1-1-1-1-1-12-1-1-1-2-2-1211-2-2111111-1-122-1-1-1-1-1-11-211-2-2111111000000-2-2000000-20200200011-1-10000000010-10
χ352222-2-22-12-1222-12-122-2-12-1-1-12-2-2-2-211-2-2-1-122-1-1-1-1-1-1-12-1-1-1221-211-2-211111111-2-2111111-12-1-122-1-1-1-1-1-100000022000000-20200-2000-1-1110000000010-10
χ362222-2-22-12-1222-12-122-2-12-1-1-12-2-2-2-211-2-2-1-122-1-1-1-1-1-1-12-1-1-1221-211-2-211111111-2-2111111-12-1-122-1-1-1-1-1-1000000-2-200000020-200200011-1-100000000-1010
χ372222-2-2-12222-1-12222-12-1-12-1-1-211-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-111221111-2-21111-1-1-1-122-1-1-1-1-2-21111-2-2111122-2-2-2-2000011110000200-1-10000000011-1-10000
χ382222-2-2-12222-1-12222-12-1-12-1-1-211-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-111221111-2-21111-1-1-1-122-1-1-1-1-2-21111-2-21111-2-222220000-1-1-1-10000-2001100000000-1-1110000
χ392222-2-2-12222-1-12222-1-2-1-12-1-121111-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1-1-2-21111-2-211111111-2-2111122-1-1-1-122-1-1-1-122-2-2220000-1-1-1-10000-200-1-10000000011110000
χ402222-2-2-12222-1-12222-1-2-1-12-1-121111-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1-1-2-21111-2-211111111-2-2111122-1-1-1-122-1-1-1-1-2-222-2-20000111100002001100000000-1-1-1-10000
χ412-22-22-2222-2-22-222-2-2-202222202-2002-22-2-2-2-2-2-2-2-2-2-2-22222200002-22-22-222-2-200000000000000000000002i−2i2i−2i000000000000000002i−2i000000002i−2i000000
χ422-22-22-2222-2-22-222-2-2-202222202-2002-22-2-2-2-2-2-2-2-2-2-2-22222200002-22-22-222-2-20000000000000000000000−2i2i−2i2i00000000000000000−2i2i00000000−2i2i000000
χ432-22-22-2-122-2-2-1122-2-210-1-12-1-10-11−i3i32-22-21111-2-21111-1-12-1-1−i3i300-11-112-2-1-111−i3i3−i3i300−i3−i3i3i300−i3i3−i3i300−i3−i3i3i32i−2i2i−2i00000033−3−30000000−ii00000000−ii3−30000
χ442-22-22-2-122-2-2-1122-2-210-1-12-1-10-11−i3i32-22-21111-2-21111-1-12-1-1−i3i300-11-112-2-1-111−i3i3−i3i300−i3−i3i3i300−i3i3−i3i300−i3−i3i3i3−2i2i−2i2i000000−3−3330000000i−i00000000i−i−330000
χ452-22-22-2-122-2-2-1122-2-210-1-12-1-10-11i3−i32-22-21111-2-21111-1-12-1-1i3−i300-11-112-2-1-111i3−i3i3−i300i3i3−i3−i300i3−i3i3−i300i3i3−i3−i32i−2i2i−2i000000−3−3330000000−ii00000000−ii−330000
χ462-22-22-2-122-2-2-1122-2-210-1-12-1-10-11i3−i32-22-21111-2-21111-1-12-1-1i3−i300-11-112-2-1-111i3−i3i3−i300i3i3−i3−i300i3−i3i3−i300i3i3−i3−i3−2i2i−2i2i00000033−3−30000000i−i00000000i−i3−30000
χ472-22-2-22222-2-22-222-2-2-20222220-2200-22-22-2-2-2-2-2-2-2-2-2-2222220000-22-22-22-2-22200000000000000000000002i−2i−2i2i000000000000000002i−2i00000000−2i2i000000
χ482-22-2-22222-2-22-222-2-2-20222220-2200-22-22-2-2-2-2-2-2-2-2-2-2222220000-22-22-22-2-2220000000000000000000000−2i2i2i−2i00000000000000000−2i2i000000002i−2i000000
χ492-22-2-22-122-2-2-1122-2-210-1-12-1-101-1−i3i3-22-221111-2-21111-1-12-1-1i3−i3001-11-1-2211-1-1−i3i3−i3i300−i3−i3i3i300i3−i3i3−i300i3i3−i3−i32i−2i−2i2i000000−3−3330000000−ii00000000i−i3−30000
χ502-22-2-22-122-2-2-1122-2-210-1-12-1-101-1−i3i3-22-221111-2-21111-1-12-1-1i3−i3001-11-1-2211-1-1−i3i3−i3i300−i3−i3i3i300i3−i3i3−i300i3i3−i3−i3−2i2i2i−2i00000033−3−30000000i−i00000000−ii−330000
χ512-22-2-22-122-2-2-1122-2-210-1-12-1-101-1i3−i3-22-221111-2-21111-1-12-1-1−i3i3001-11-1-2211-1-1i3−i3i3−i300i3i3−i3−i300−i3i3−i3i300−i3−i3i3i32i−2i−2i2i00000033−3−30000000−ii00000000i−i−330000
χ522-22-2-22-122-2-2-1122-2-210-1-12-1-101-1i3−i3-22-221111-2-21111-1-12-1-1−i3i3001-11-1-2211-1-1i3−i3i3−i300i3i3−i3−i300−i3i3−i3i300−i3−i3i3i3−2i2i2i−2i000000−3−3330000000i−i00000000−ii3−30000
χ532-2-2200222-2-2-2-2-2-22220222220000000002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000002-22-22-22-22-20000000002-200002-200000000
χ542-2-2200222-2-2-2-2-2-22220222220000000002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000002-2-22-222-22-2000000000-220000-2200000000
χ552-2-2200222-2-2-2-2-2-22220222220000000002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000-222-2-22-22-220000000002-20000-2200000000
χ562-2-2200222-2-2-2-2-2-22220222220000000002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000-22-222-2-22-22000000000-2200002-200000000
χ574444444-2-2-2-244-2-2-2-244-2-211144444-2-2-2-2-2-2-2-2111111-2-211144-2-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2-2-2111111000000000000000000000000000000000000000
χ584444444-2-2-2-244-2-2-2-24-4-2-2111-444-4-4-2-2-2-2-2-2-2-2111111-2-2111-4-422-2-2-2-21111112222-1-1-1-1-1-1222222-1-1-1-1-1-1000000000000000000000000000000000000000
χ59444444-24-24-2-2-24-24-2-24-21-2114-2-2-2-244-2-2-2-211-2-21111-21-211-2-24-2-2-211-2-21111-2-211-2-211114-2-2-211-2-21111000000000000000000000000000000000000000
χ60444444-24-24-2-2-24-24-2-2-4-21-211-4-2-22244-2-2-2-211-2-21111-21-21122-42-2-211-2-2111122-1-122-1-1-1-1-4222-1-122-1-1-1-1000000000000000000000000000000000000000
χ61444444-2-24-24-2-2-24-24-241-2-2114-2-2-2-2-2-24411-2-2-2-211111-2-211-2-2-2411-2-2-2-2111111-2-2-2-21111-2411-2-2-2-21111000000000000000000000000000000000000000
χ62444444-2-24-24-2-2-24-24-2-41-2-211-4-2-222-2-24411-2-2-2-211111-2-211222-411-2-2-2-21111-1-12222-1-1-1-12-4-1-12222-1-1-1-1000000000000000000000000000000000000000
χ63444444-2-2-2-2-2-2-2-2-2-2-2-24111−1−3i32−1+3i324-2-2-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000
χ64444444-2-2-2-2-2-2-2-2-2-2-2-24111−1+3i32−1−3i324-2-2-2-2-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000
χ65444444-2-2-2-2-2-2-2-2-2-2-2-2-4111−1−3i32−1+3i32-4-2-222-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i322222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i3222-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000
χ66444444-2-2-2-2-2-2-2-2-2-2-2-2-4111−1+3i32−1−3i32-4-2-222-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i322222111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i3222-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000
χ674444-4-44-2-2-2-244-2-2-2-244-2-2111-4-4-4442222-2-2-2-2111111-2-2111-4-4-2-22222-1-1-1-1-1-1-2-2-2-2111111222222-1-1-1-1-1-1000000000000000000000000000000000000000
χ684444-4-44-2-2-2-244-2-2-2-24-4-2-21114-4-4-4-42222-2-2-2-2111111-2-211144222222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2111111000000000000000000000000000000000000000
χ694444-4-4-24-24-2-2-24-24-2-24-21-211-422-2-2-4-422-2-211-2-21111-21-211224-222-1-122-1-1-1-1-2-211-2-21111-4222-1-122-1-1-1-1000000000000000000000000000000000000000
χ704444-4-4-24-24-2-2-24-24-2-2-4-21-21142222-4-422-2-211-2-21111-21-211-2-2-4222-1-122-1-1-1-122-1-122-1-1-1-14-2-2-211-2-21111000000000000000000000000000000000000000
χ714444-4-4-2-24-24-2-2-24-24-241-2-211-422-2-222-4-411-2-2-2-211111-2-21122-24-1-12222-1-1-1-111-2-2-2-211112-4-1-12222-1-1-1-1000000000000000000000000000000000000000
χ724444-4-4-2-24-24-2-2-24-24-2-41-2-2114222222-4-411-2-2-2-211111-2-211-2-22-4-1-12222-1-1-1-1-1-12222-1-1-1-1-2411-2-2-2-21111000000000000000000000000000000000000000
χ734444-4-4-2-2-2-2-2-2-2-2-2-2-2-24111−1−3i32−1+3i32-422-2-22222111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i3222-2-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i3222-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000
χ744444-4-4-2-2-2-2-2-2-2-2-2-2-2-24111−1+3i32−1−3i32-422-2-22222111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i3222-2-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i3222-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000
χ754444-4-4-2-2-2-2-2-2-2-2-2-2-2-2-4111−1−3i32−1+3i32422222222111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-222-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000
χ764444-4-4-2-2-2-2-2-2-2-2-2-2-2-2-4111−1+3i32−1−3i32422222222111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-222-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000
χ7744-4-40044444-44-4-4-4-4-4044444000000000-44-44-44-4-444-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ7844-4-40044-24-2-44-42-42-404-2-2-2-2000000000-442-22-222-2-2-4222200000000000000000000000000000000000000000000000000000000000000023−230000000000
χ7944-4-40044-24-2-44-42-42-404-2-2-2-2000000000-442-22-222-2-2-42222000000000000000000000000000000000000000000000000000000000000000−23230000000000
χ8044-4-4004-24-24-442-42-4-40-24-2-2-20000000002-2-442-222-2-22-4222000000000000000000000000000000000000000000000000000000000000023−23000000000000
χ8144-4-4004-24-24-442-42-4-40-24-2-2-20000000002-2-442-222-2-22-42220000000000000000000000000000000000000000000000000000000000000−2323000000000000
χ8244-4-400-244442-2-4-4-4-420-2-24-2-20000000002-22-2-4422-2-222-422000000000000000000000000000000000000000000000023−23−23230000000000000000000000000
χ8344-4-400-244442-2-4-4-4-420-2-24-2-20000000002-22-2-4422-2-222-4220000000000000000000000000000000000000000000000−232323−230000000000000000000000000
χ844-44-44-444-2-424-44-2-42-404-2-2-2-204-4004-4-22-4-4222222224-2-2-2-200004-4-22-22-2-2220000000000000000000000000000000000000000000000000000000000000
χ854-44-44-44-242-44-4-242-4-40-24-2-2-204-400-224-422-4-4222222-24-2-2-20000-224-4-22-2-2220000000000000000000000000000000000000000000000000000000000000
χ864-44-44-44-2-2224-4-2-222-40-2-211104-400-22-222222-1-1-1-1-1-1-2-21110000-22-221-111-1-100003-33-3-330000003-33-3-33000000000000000000000000000000000000000
χ874-44-44-44-2-2224-4-2-222-40-2-211104-400-22-222222-1-1-1-1-1-1-2-21110000-22-221-111-1-10000-33-333-3000000-33-333-3000000000000000000000000000000000000000
χ884-44-44-4-24-2-42-224-2-4220-21-2110-22−2i32i34-4-2222-1-122-1-1-1-1-21-211−2i32i300-221-1-2211-1-1−2i32i3i3−i300i3i3−i3−i300−2i32i3i3−i300i3i3−i3−i3000000000000000000000000000000000000000
χ894-44-44-4-24-2-42-224-2-4220-21-2110-222i3−2i34-4-2222-1-122-1-1-1-1-21-2112i3−2i300-221-1-2211-1-12i3−2i3−i3i300−i3−i3i3i3002i3−2i3−i3i300−i3−i3i3i3000000000000000000000000000000000000000
χ904-44-44-4-2-242-4-22-242-4201-2-2110-22−2i32i3-224-4-1-12222-1-1-1-11-2-211−2i32i3001-1-22-2211-1-1i3−i3−2i32i300i3i3−i3−i300i3−i3−2i32i300i3i3−i3−i3000000000000000000000000000000000000000
χ914-44-44-4-2-242-4-22-242-4201-2-2110-222i3−2i3-224-4-1-12222-1-1-1-11-2-2112i3−2i3001-1-22-2211-1-1−i3i32i3−2i300−i3−i3i3i300−i3i32i3−2i300−i3−i3i3i3000000000000000000000000000000000000000
χ924-44-44-4-2-2-222-22-2-22220111−1−3i32−1+3i320-22−2i32i3-22-22-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32−2i32i3001-11-11-1−1−3i32−1+3i321+3i321−3i32i3−i3i3−i33-3−3−i323−i323+i32−3+i3200i3−i3i3−i33-3−3−i323−i323+i32−3+i32000000000000000000000000000000000000000
χ934-44-44-4-2-2-222-22-2-22220111−1−3i32−1+3i320-222i3−2i3-22-22-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322i3−2i3001-11-11-1−1−3i32−1+3i321+3i321−3i32−i3i3−i3i3-333+i32−3+i32−3−i323−i3200−i3i3−i3i3-333+i32−3+i32−3−i323−i32000000000000000000000000000000000000000
χ944-44-44-4-2-2-222-22-2-22220111−1+3i32−1−3i320-22−2i32i3-22-22-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32−2i32i3001-11-11-1−1+3i32−1−3i321−3i321+3i32i3−i3i3−i3-333−i32−3−i32−3+i323+i3200i3−i3i3−i3-333−i32−3−i32−3+i323+i32000000000000000000000000000000000000000
χ954-44-44-4-2-2-222-22-2-22220111−1+3i32−1−3i320-222i3−2i3-22-22-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322i3−2i3001-11-11-1−1+3i32−1−3i321−3i321+3i32−i3i3−i3i33-3−3+i323+i323−i32−3−i3200−i3i3−i3i33-3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000
χ964-44-4-4444-2-424-44-2-42-404-2-2-2-20-4400-442-2-4-4222222224-2-2-2-20000-442-22-222-2-20000000000000000000000000000000000000000000000000000000000000
χ974-44-4-444-242-44-4-242-4-40-24-2-2-20-44002-2-4422-4-4222222-24-2-2-200002-2-442-222-2-20000000000000000000000000000000000000000000000000000000000000
χ984-44-4-444-2-2224-4-2-222-40-2-21110-44002-22-22222-1-1-1-1-1-1-2-211100002-22-2-11-1-11100003-33-3-33000000-33-333-3000000000000000000000000000000000000000
χ994-44-4-444-2-2224-4-2-222-40-2-21110-44002-22-22222-1-1-1-1-1-1-2-211100002-22-2-11-1-1110000-33-333-30000003-33-3-33000000000000000000000000000000000000000
χ1004-44-4-44-24-2-42-224-2-4220-21-21102-2−2i32i3-442-222-1-122-1-1-1-1-21-2112i3−2i3002-2-112-2-1-111−2i32i3i3−i300i3i3−i3−i3002i3−2i3−i3i300−i3−i3i3i3000000000000000000000000000000000000000
χ1014-44-4-44-24-2-42-224-2-4220-21-21102-22i3−2i3-442-222-1-122-1-1-1-1-21-211−2i32i3002-2-112-2-1-1112i3−2i3−i3i300−i3−i3i3i300−2i32i3i3−i300i3i3−i3−i3000000000000000000000000000000000000000
χ1024-44-4-44-2-242-4-22-242-4201-2-21102-2−2i32i32-2-44-1-12222-1-1-1-11-2-2112i3−2i300-112-22-2-1-111i3−i3−2i32i300i3i3−i3−i300−i3i32i3−2i300−i3−i3i3i3000000000000000000000000000000000000000
χ1034-44-4-44-2-242-4-22-242-4201-2-21102-22i3−2i32-2-44-1-12222-1-1-1-11-2-211−2i32i300-112-22-2-1-111−i3i32i3−2i300−i3−i3i3i300i3−i3−2i32i300i3i3−i3−i3000000000000000000000000000000000000000
χ1044-44-4-44-2-2-222-22-2-22220111−1−3i32−1+3i3202-2−2i32i32-22-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322i3−2i300-11-11-111+3i321−3i32−1−3i32−1+3i32i3−i3i3−i33-3−3−i323−i323+i32−3+i3200−i3i3−i3i3-333+i32−3+i32−3−i323−i32000000000000000000000000000000000000000
χ1054-44-4-44-2-2-222-22-2-22220111−1−3i32−1+3i3202-22i3−2i32-22-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32−2i32i300-11-11-111+3i321−3i32−1−3i32−1+3i32−i3i3−i3i3-333+i32−3+i32−3−i323−i3200i3−i3i3−i33-3−3−i323−i323+i32−3+i32000000000000000000000000000000000000000
χ1064-44-4-44-2-2-222-22-2-22220111−1+3i32−1−3i3202-2−2i32i32-22-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322i3−2i300-11-11-111−3i321+3i32−1+3i32−1−3i32i3−i3i3−i3-333−i32−3−i32−3+i323+i3200−i3i3−i3i33-3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000
χ1074-44-4-44-2-2-222-22-2-22220111−1+3i32−1−3i3202-22i3−2i32-22-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32−2i32i300-11-11-111−3i321+3i32−1+3i32−1−3i32−i3i3−i3i33-3−3+i323+i323−i32−3−i3200i3−i3i3−i3-333−i32−3−i32−3+i323+i32000000000000000000000000000000000000000
χ1084-4-440044-2-42-4-4-424-2404-2-2-2-20000000004-4-22-22-2-222-42222000000000000000000000000000000000000000000004-40000000000000000000-2200000000
χ1094-4-440044-2-42-4-4-424-2404-2-2-2-20000000004-4-22-22-2-222-4222200000000000000000000000000000000000000000000-4400000000000000000002-200000000
χ1104-4-44004-242-4-4-42-4-2440-24-2-2-2000000000-224-4-22-2-2222-42220000000000000000000000000000000000000000004-4000000000000000-2200000000000000
χ1114-4-44004-242-4-4-42-4-2440-24-2-2-2000000000-224-4-22-2-2222-4222000000000000000000000000000000000000000000-440000000000000002-200000000000000
χ1124-4-4400-244-4-422-4-444-20-2-24-2-2000000000-22-224-4-2-22222-42200000000000000000000000000000000000000004-40000-22-220000000000000000000000000
χ1134-4-4400-244-4-422-4-444-20-2-24-2-2000000000-22-224-4-2-22222-4220000000000000000000000000000000000000000-4400002-22-20000000000000000000000000
χ11488-8-8008-4-4-4-4-884444-80-4-42220000000004-44-4-22-2-22244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-800-48-48-44-4-84-8440-42-4220000000004-4-224-4-2-2224-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ11688-8-800-4-48-484-44-84-8402-4-422000000000-224-44-4-2-222-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ11788-8-800-4-4-4-4-44-4444440222−1−3i3−1+3i3000000000-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-800-4-4-4-4-44-4444440222−1+3i3−1−3i3000000000-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88008-4-444-8-844-4-480-4-4222000000000-44-442-222-2-244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-8800-48-4-8444-848-4-40-42-422000000000-442-2-4422-2-24-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-8800-4-484-8444-8-48-402-4-4220000000002-2-44-4422-2-2-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-8800-4-4-4444444-4-4-40222−1−3i3−1+3i30000000002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-8800-4-4-4444444-4-4-40222−1+3i3−1−3i30000000002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000

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