Finite Group Databasebeta

← Group #13178670

Character table — Group #13178670

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size111122222222222222222244444444444444444444444444444444444444888888888888888888888888888888181818181818181818181818181818181818363636363636363636363636363636363636363636363636363636
order122222223334466666666633333666666666666666666666666666121212121212666666666666666666661212121212121212121222444466661212121212121212222444444666666121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1111-1-11111111111111111-1-111-1-111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-11-1-11-1-1-111-1-1-1-1-1-111-1-111-1-1
χ6111111-1-1111-1-11111111111111111-1-111-1-111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-111-11-1-111111-1-111-1-1-1-111-1-111
χ7111111-1-1111-1-11111111111111111-1-111-1-111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-11-11-1111-1-111-1-11111-1-1-1-111
χ8111111-1-1111-1-11111111111111111-1-111-1-111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-11-11-1111-1-1-1-1-1111111-1-11111-1-1
χ91111-1-111111-1-111111111111111-1-111-1-111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-11-1-1-11-1-11-1-1-1-111-1-1-1-1-1-111-1-111
χ101111-1-111111-1-111111111111111-1-111-1-111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11-111-1-11111-1-111-1-111-1-1
χ111111-1-111111-1-111111111111111-1-111-1-111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-11-1-1111-11111-1-1-1-111-1-11111-1-1
χ121111-1-111111-1-111111111111111-1-111-1-111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-11-11-1-111-1-1111111-1-1-1-111
χ131111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ141111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111
χ151111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-111-11-1-1-111-1-1111111-1-1-1-1-1-11111
χ161111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-111-1-1-1111111-1-1-1-11111-1-1-1-1
χ172222222222-12222-1-122-1222-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1220000-1-1-1-10000000022000020000-1-1-1-100-1-100000000
χ182222222222-12222-1-122-1222-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-20000111100000000-2-20000-200001111001100000000
χ19222222222-1222-1-1222222-1-12-1-1-12222-1-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100002200000000-1-1-1-1002000022-1-1000000000000-1-1-1-1
χ20222222222-1222-1-1222222-1-12-1-1-12222-1-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-200000000111100-20000-2-2110000000000001111
χ2122222222-122222222-1-12-12-1-12-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1-1-12-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10022000000-1-1-1-10000000222000000000-1-100-1-1-1-10000
χ2222222222-122222222-1-12-12-1-12-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1-1-12-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100-2-200000011110000000-2-2-2000000000110011110000
χ23222222-2-222-1-2-222-1-122-1222-1-1-1-122-2-222-2-2-1-11122-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-222-1-1-1-1-1-1-1-1-2-211111111-2-211111111220000-1-1-1-1000000002-20000-20000-1-111001100000000
χ24222222-2-222-1-2-222-1-122-1222-1-1-1-122-2-222-2-2-1-11122-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-222-1-1-1-1-1-1-1-1-2-211111111-2-211111111-2-20000111100000000-2200002000011-1-100-1-100000000
χ25222222-2-22-12-2-2-1-1222222-1-12-1-1-122-2-2-1-11122-2-2-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-211-1-122-1-1-1-1-1-111-2-211111111-2-211111100002200000000-1-1-1-100-200002-211000000000000-1-111
χ26222222-2-22-12-2-2-1-1222222-1-12-1-1-122-2-2-1-11122-2-2-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-211-1-122-1-1-1-1-1-111-2-211111111-2-21111110000-2-20000000011110020000-22-1-100000000000011-1-1
χ27222222-2-2-122-2-22222-1-12-12-1-12-1-1-1-11122-2-222-2-2-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-2-1-1-1-122-1-1-1-11111-2-211111111-2-211110022000000-1-1-1-10000000-22-20000000001100-1-1110000
χ28222222-2-2-122-2-22222-1-12-12-1-12-1-1-1-11122-2-222-2-2-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-2-1-1-1-122-1-1-1-11111-2-211111111-2-2111100-2-2000000111100000002-22000000000-1-10011-1-10000
χ292222-2-22222-1-2-222-1-122-1222-1-1-1-1-2-222-2-22211-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-2-2-21111111122-1-1-1-1-1-1-1-1-2-211111111220000-1-1-1-100000000-220000-2000011-1-1001100000000
χ302222-2-22222-1-2-222-1-122-1222-1-1-1-1-2-222-2-22211-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-2-2-21111111122-1-1-1-1-1-1-1-1-2-211111111-2-200001111000000002-2000020000-1-11100-1-100000000
χ312222-2-2222-12-2-2-1-1222222-1-12-1-1-1-2-22211-1-1-2-222-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-21111-2-2111111-1-122-1-1-1-1-1-111-2-211111100002200000000-1-1-1-100-20000-221100000000000011-1-1
χ322222-2-2222-12-2-2-1-1222222-1-12-1-1-1-2-22211-1-1-2-222-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-21111-2-2111111-1-122-1-1-1-1-1-111-2-21111110000-2-200000000111100200002-2-1-1000000000000-1-111
χ332222-2-222-122-2-22222-1-12-12-1-12-1-111-1-1-2-222-2-222-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-21111-2-21111-1-1-1-122-1-1-1-11111-2-211110022000000-1-1-1-10000000-2-22000000000110011-1-10000
χ342222-2-222-122-2-22222-1-12-12-1-12-1-111-1-1-2-222-2-222-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-21111-2-21111-1-1-1-122-1-1-1-11111-2-2111100-2-20000001111000000022-2000000000-1-100-1-1110000
χ352222-2-2-2-222-12222-1-122-1222-1-1-1-1-2-2-2-2-2-2-2-2111122-1-1-1-1-1-1-1-12-1-1-1-122-1-122-2-211111111-2-21111111122-1-1-1-1-1-1-1-1220000-1-1-1-100000000-2-2000020000111100-1-100000000
χ362222-2-2-2-222-12222-1-122-1222-1-1-1-1-2-2-2-2-2-2-2-2111122-1-1-1-1-1-1-1-12-1-1-1-122-1-122-2-211111111-2-21111111122-1-1-1-1-1-1-1-1-2-20000111100000000220000-20000-1-1-1-1001100000000
χ372222-2-2-2-22-1222-1-1222222-1-12-1-1-1-2-2-2-21111-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-12222-1-111-2-211111111-2-2111111-1-122-1-1-1-1-1-100002200000000-1-1-1-10020000-2-2-1-10000000000001111
χ382222-2-2-2-22-1222-1-1222222-1-12-1-1-1-2-2-2-21111-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-12222-1-111-2-211111111-2-2111111-1-122-1-1-1-1-1-10000-2-200000000111100-200002211000000000000-1-1-1-1
χ392222-2-2-2-2-122222222-1-12-12-1-12-1-11111-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1-122221111-2-211111111-2-21111-1-1-1-122-1-1-1-10022000000-1-1-1-100000002-2-2000000000-1-10011110000
χ402222-2-2-2-2-122222222-1-12-12-1-12-1-11111-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1-122221111-2-211111111-2-21111-1-1-1-122-1-1-1-100-2-200000011110000000-2220000000001100-1-1-1-10000
χ4122-2-20000222002-22-2-22-2-2-2222220000000000002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000002-22i−2i2i−2i22-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000
χ4222-2-20000222002-22-2-22-2-2-2222220000000000002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000002-2−2i2i−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000
χ4322-2-20000222002-22-2-22-2-2-2222220000000000002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000-222i−2i−2i2i-2-2222i2i−2i−2i−2i−2i2i2i000000000000000000000000000
χ4422-2-20000222002-22-2-22-2-2-2222220000000000002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000-22−2i2i2i−2i-2-222−2i−2i2i2i2i2i−2i−2i000000000000000000000000000
χ452-2-222-22-22222-2-2-2-2-22-22-22222222-22-22-22-22-22-2-2-2-2-2-2-2-2-2-2-2222222-22-22-22-22-22-222-2-22-22-22-222-2-22-22-22-222-2-2000000000000000000000000000000000000000000000
χ462-2-222-22-222-12-2-2-2112-2-1-222-1-1-1-12-22-22-22-2-11-11-2-2111111112-1-1-1-12-2-112-22-2-11-11-1-1112-2-11-11-1-1112-2-11-11-1-111000000−i3i3−i3i30000000000000000000−i3i3−i3i300−i3i300000000
χ472-2-222-22-222-12-2-2-2112-2-1-222-1-1-1-12-22-22-22-2-11-11-2-2111111112-1-1-1-12-2-112-22-2-11-11-1-1112-2-11-11-1-1112-2-11-11-1-111000000i3−i3i3−i30000000000000000000i3−i3i3−i300i3−i300000000
χ482-2-222-22-22-122-211-2-22-22-2-1-12-1-1-12-22-2-11-112-22-211-2-2111111-12-1-1-12-22-2-11-112-2-11-1-111-112-2-11-1-111-112-2-11-1-11100000000000000−i3i3−i3i3000000000−i3i3000000000000−i3i3−i3i3
χ492-2-222-22-22-122-211-2-22-22-2-1-12-1-1-12-22-2-11-112-22-211-2-2111111-12-1-1-12-22-2-11-112-2-11-1-111-112-2-11-1-111-112-2-11-1-11100000000000000i3−i3i3−i3000000000i3−i3000000000000i3−i3i3−i3
χ502-2-222-22-2-1222-2-2-2-2-2-11212-1-12-1-1-11-112-22-22-22-21111-2-21111-1-12-1-1-112-22-2-11-112-2-1-111-11-112-2-1-111-11-112-2-1-11100000000003−33−300000000000000000003−3003−33−30000
χ512-2-222-22-2-1222-2-2-2-2-2-11212-1-12-1-1-11-112-22-22-22-21111-2-21111-1-12-1-1-112-22-2-11-112-2-1-111-11-112-2-1-111-11-112-2-1-1110000000000−33−330000000000000000000−3300−33−330000
χ522-2-222-2-22222-22-2-2-2-22-22-22222222-2-222-2-222-2-22-2-2-2-2-2-2-2-2-2-222222-22-22-222-22-22-222-2-2-22-22-22-2-222-22-22-22-2-222000000000000000000000000000000000000000000000
χ532-2-222-2-2222-1-22-2-2112-2-1-222-1-1-1-12-2-222-2-22-111-1-2-2111111112-1-1-1-1-221-1-222-2-11-11-1-111-221-11-111-1-1-221-11-111-1-1000000−i3i3−i3i30000000000000000000−i3i3i3−i300i3−i300000000
χ542-2-222-2-2222-1-22-2-2112-2-1-222-1-1-1-12-2-222-2-22-111-1-2-2111111112-1-1-1-1-221-1-222-2-11-11-1-111-221-11-111-1-1-221-11-111-1-1000000i3−i3i3−i30000000000000000000i3−i3−i3i300−i3i300000000
χ552-2-222-2-222-12-2211-2-22-22-2-1-12-1-1-12-2-22-111-12-2-2211-2-2111111-12-1-1-1-22-221-1-112-2-11-1-1111-1-221-111-1-11-1-221-111-1-100000000000000−i3i3−i3i3000000000i3−i3000000000000−i3i3i3−i3
χ562-2-222-2-222-12-2211-2-22-22-2-1-12-1-1-12-2-22-111-12-2-2211-2-2111111-12-1-1-1-22-221-1-112-2-11-1-1111-1-221-111-1-11-1-221-111-1-100000000000000i3−i3i3−i3000000000−i3i3000000000000i3−i3−i3i3
χ572-2-222-2-22-122-22-2-2-2-2-11212-1-12-1-1-111-12-2-222-2-221111-2-21111-1-12-1-11-1-22-22-11-112-2-1-1111-11-1-2211-1-11-11-1-2211-1-100000000003−33−30000000000000000000−33003−3−330000
χ582-2-222-2-22-122-22-2-2-2-2-11212-1-12-1-1-111-12-2-222-2-221111-2-21111-1-12-1-11-1-22-22-11-112-2-1-1111-11-1-2211-1-11-11-1-2211-1-10000000000−33−3300000000000000000003−300−333−30000
χ592-2-22-222-2222-22-2-2-2-22-22-2222222-222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-222222-22-22-22-22-22-22-2-2222-22-22-222-2-2-22-22-22-2-222000000000000000000000000000000000000000000000
χ602-2-22-222-222-1-22-2-2112-2-1-222-1-1-1-1-222-2-222-21-1-11-2-2111111112-1-1-1-1-221-1-22-221-11-111-1-12-2-11-11-1-111-221-11-111-1-1000000−i3i3−i3i30000000000000000000i3−i3−i3i300i3−i300000000
χ612-2-22-222-222-1-22-2-2112-2-1-222-1-1-1-1-222-2-222-21-1-11-2-2111111112-1-1-1-1-221-1-22-221-11-111-1-12-2-11-11-1-111-221-11-111-1-1000000i3−i3i3−i30000000000000000000−i3i3i3−i300−i3i300000000
χ622-2-22-222-22-12-2211-2-22-22-2-1-12-1-1-1-222-21-1-11-222-211-2-2111111-12-1-1-1-22-221-11-1-221-111-1-1-112-2-11-1-1111-1-221-111-1-100000000000000−i3i3−i3i3000000000i3−i3000000000000i3−i3−i3i3
χ632-2-22-222-22-12-2211-2-22-22-2-1-12-1-1-1-222-21-1-11-222-211-2-2111111-12-1-1-1-22-221-11-1-221-111-1-1-112-2-11-1-1111-1-221-111-1-100000000000000i3−i3i3−i3000000000−i3i3000000000000−i3i3i3−i3
χ642-2-22-222-2-122-22-2-2-2-2-11212-1-12-1-11-1-11-222-2-222-21111-2-21111-1-12-1-11-1-22-221-11-1-2211-1-1-11-112-2-1-1111-11-1-2211-1-100000000003−33−30000000000000000000−3300−333−30000
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χ692-2-22-22-222-122-211-2-22-22-2-1-12-1-1-1-22-221-11-1-22-2211-2-2111111-12-1-1-12-22-2-111-1-221-111-1-11-1-221-111-1-1-112-2-11-1-11100000000000000−i3i3−i3i3000000000−i3i3000000000000i3−i3i3−i3
χ702-2-22-22-222-122-211-2-22-22-2-1-12-1-1-1-22-221-11-1-22-2211-2-2111111-12-1-1-12-22-2-111-1-221-111-1-11-1-221-111-1-1-112-2-11-1-11100000000000000i3−i3i3−i3000000000i3−i3000000000000−i3i3−i3i3
χ712-2-22-22-22-1222-2-2-2-2-2-11212-1-12-1-11-11-1-22-22-22-221111-2-21111-1-12-1-1-112-22-21-11-1-2211-1-11-11-1-2211-1-1-11-112-2-1-11100000000003−33−300000000000000000003−300−33−330000
χ722-2-22-22-22-1222-2-2-2-2-2-11212-1-12-1-11-11-1-22-22-22-221111-2-21111-1-12-1-1-112-22-21-11-1-2211-1-11-11-1-2211-1-1-11-112-2-1-1110000000000−33−330000000000000000000−33003−33−30000
χ73444444444-2-244-2-2-2-244-24-2-2-21114444-2-2-2-2-2-2-2-2-2-2-2-2111111-2-211144-2-2-2-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000000000
χ7444444444-24-24444-2-2-2-2-2-24-21-211-2-2-2-24444-2-2-2-2-2-211-2-21111-21-211-2-2-2-244-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000000000
χ7544444444-2-2444-2-244-2-24-2-21-2-211-2-2-2-2-2-2-2-2444411-2-2-2-211111-2-211-2-244-2-211-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000000000
χ7644444444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000000000
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χ78444444-4-44-2-2-4-4-2-2-2-244-24-2-2-211144-4-4-2-222-2-222-2-2-2-2111111-2-2111-4-42222-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000000000
χ79444444-4-4-24-2-4-444-2-2-2-2-2-24-21-211-2-22244-4-4-2-222-2-211-2-21111-21-2112222-4-4-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000000000
χ80444444-4-4-2-24-4-4-2-244-2-24-2-21-2-211-2-222-2-22244-4-411-2-2-2-211111-2-21122-4-42211-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000000000
χ81444444-4-4-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-2-222-2-222-2-222111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32222222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000000000
χ82444444-4-4-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-2-222-2-222-2-222111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32222222111111−1+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+3i32000000000000000000000000000000000000000000000
χ834444-4-4444-2-2-4-4-2-2-2-244-24-2-2-2111-4-44422-2-222-2-2-2-2-2-2111111-2-2111-4-422222222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000000000
χ844444-4-444-24-2-4-444-2-2-2-2-2-24-21-21122-2-2-4-44422-2-2-2-211-2-21111-21-2112222-4-422-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000000000
χ854444-4-444-2-24-4-4-2-244-2-24-2-21-2-21122-2-222-2-2-4-44411-2-2-2-211111-2-21122-4-422-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000000000
χ864444-4-444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3222-2-222-2-222-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32222222-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000000000
χ874444-4-444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3222-2-222-2-222-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32222222-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000000000
χ884444-4-4-4-44-2-244-2-2-2-244-24-2-2-2111-4-4-4-422222222-2-2-2-2111111-2-211144-2-2-2-22222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000000000
χ894444-4-4-4-4-24-24444-2-2-2-2-2-24-21-2112222-4-4-4-42222-2-211-2-21111-21-211-2-2-2-24422-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000000000
χ904444-4-4-4-4-2-2444-2-244-2-24-2-21-2-21122222222-4-4-4-411-2-2-2-211111-2-211-2-244-2-2-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000000000
χ914444-4-4-4-4-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32222222222222111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000000000
χ924444-4-4-4-4-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32222222222222111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000000000
χ9344-4-4000044-2004-4-22-442-4-44-2-2-2-20000000000004-4-22-22-2-222-422220000000000000000000000000000000000004-40000-2-22200000000000000000000000000000000000
χ9444-4-4000044-2004-4-22-442-4-44-2-2-2-20000000000004-4-22-22-2-222-42222000000000000000000000000000000000000-44000022-2-200000000000000000000000000000000000
χ9544-4-400004-2400-224-4-44-4-42-24-2-2-2000000000000-224-4-22-2-2222-422200000000000000000000000000000000000000004i−4i00000000−2i−2i2i2i000000000000000000000000000
χ9644-4-400004-2400-224-4-44-4-42-24-2-2-2000000000000-224-4-22-2-2222-42220000000000000000000000000000000000000000−4i4i000000002i2i−2i−2i000000000000000000000000000
χ9744-4-40000-244004-44-42-2-42-4-2-24-2-2000000000000-22-224-4-2-22222-422000000000000000000000000000000000000004i−4i000000−2i−2i2i2i0000000000000000000000000000000
χ9844-4-40000-244004-44-42-2-42-4-2-24-2-2000000000000-22-224-4-2-22222-42200000000000000000000000000000000000000−4i4i0000002i2i−2i−2i0000000000000000000000000000000
χ994-44-4000044400-44-44-4-4-44-444444000000000000-44-44-44-4-444-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-44-4000044-200-442-2-4-424-44-2-2-2-2000000000000-442-22-222-2-2-42222000000000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000000000000000
χ1014-44-4000044-200-442-2-4-424-44-2-2-2-2000000000000-442-22-222-2-2-422220000000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000000000000000
χ1024-44-400004-24002-2-44-4-4-442-24-2-2-20000000000002-2-442-222-2-22-42220000000000000000000000000000000000000000000000000023−23−2323000000000000000000000000000
χ1034-44-400004-24002-2-44-4-4-442-24-2-2-20000000000002-2-442-222-2-22-422200000000000000000000000000000000000000000000000000−232323−23000000000000000000000000000
χ1044-44-40000-24400-44-4422-4-2-4-2-24-2-20000000000002-22-2-4422-2-222-4220000000000000000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000000000
χ1054-44-40000-24400-44-4422-4-2-4-2-24-2-20000000000002-22-2-4422-2-222-42200000000000000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000000
χ1064-4-444-44-44-2-24-422224-4-2-4-2-2-21114-44-4-22-22-22-222222-1-1-1-1-1-1-2-21114-4-22-22-22-221-111-1-1-22-221-111-1-1-22-221-111-1-1000000000000000000000000000000000000000000000
χ1074-4-444-44-4-24-24-4-4-422-22-224-21-211-22-224-44-4-22-2222-1-122-1-1-1-1-21-211-22-224-4-221-1-2211-1-1-221-1-2211-1-1-221-1-2211-1-1000000000000000000000000000000000000000000000
χ1084-4-444-44-4-2-244-422-4-4-2242-21-2-211-22-22-22-224-44-4-1-12222-1-1-1-11-2-211-224-4-221-1-22-2211-1-11-1-22-2211-1-11-1-22-2211-1-1000000000000000000000000000000000000000000000
χ1094-4-444-44-4-2-2-24-42222-22-22-2111−1−3i32−1+3i32-22-22-22-22-22-22-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-22-221-11-11-1−1−3i32−1+3i321+3i321−3i321-11-11-1−1−3i32−1+3i321+3i321−3i321-11-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000000000000000
χ1104-4-444-44-4-2-2-24-42222-22-22-2111−1+3i32−1−3i32-22-22-22-22-22-22-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-22-221-11-11-1−1+3i32−1−3i321−3i321+3i321-11-11-1−1+3i32−1−3i321−3i321+3i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000000000000000
χ1114-4-444-4-444-2-2-4422224-4-2-4-2-2-21114-4-44-222-2-222-22222-1-1-1-1-1-1-2-2111-442-22-2-22-221-111-1-12-22-2-11-1-1112-22-2-11-1-111000000000000000000000000000000000000000000000
χ1124-4-444-4-44-24-2-44-4-422-22-224-21-211-222-24-4-44-222-222-1-122-1-1-1-1-21-2112-22-2-44-221-1-2211-1-12-2-112-2-1-1112-2-112-2-1-111000000000000000000000000000000000000000000000
χ1134-4-444-4-44-2-24-4422-4-4-2242-21-2-211-222-2-222-24-4-44-1-12222-1-1-1-11-2-2112-2-442-21-1-22-2211-1-1-112-22-2-1-111-112-22-2-1-111000000000000000000000000000000000000000000000
χ1144-4-444-4-44-2-2-2-442222-22-22-2111−1−3i32−1+3i32-222-2-222-2-222-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-22-21-11-11-1−1−3i32−1+3i321+3i321−3i32-11-11-111+3i321−3i32−1−3i32−1+3i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000000000000000
χ1154-4-444-4-44-2-2-2-442222-22-22-2111−1+3i32−1−3i32-222-2-222-2-222-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-22-21-11-11-1−1+3i32−1−3i321−3i321+3i32-11-11-111−3i321+3i32−1+3i32−1−3i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000000000000000
χ1164-4-44-444-44-2-2-4422224-4-2-4-2-2-2111-444-42-2-222-2-222222-1-1-1-1-1-1-2-2111-442-22-22-22-2-11-1-111-22-221-111-1-12-22-2-11-1-111000000000000000000000000000000000000000000000
χ1174-4-44-444-4-24-2-44-4-422-22-224-21-2112-2-22-444-42-2-2222-1-122-1-1-1-1-21-2112-22-2-442-2-112-2-1-111-221-1-2211-1-12-2-112-2-1-111000000000000000000000000000000000000000000000
χ1184-4-44-444-4-2-24-4422-4-4-2242-21-2-2112-2-222-2-22-444-4-1-12222-1-1-1-11-2-2112-2-442-2-112-22-2-1-1111-1-22-2211-1-1-112-22-2-1-111000000000000000000000000000000000000000000000
χ1194-4-44-444-4-2-2-2-442222-22-22-2111−1−3i32−1+3i322-2-222-2-222-2-22-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-22-2-11-11-111+3i321−3i32−1−3i32−1+3i321-11-11-1−1−3i32−1+3i321+3i321−3i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000000000000000
χ1204-4-44-444-4-2-2-2-442222-22-22-2111−1+3i32−1−3i322-2-222-2-222-2-22-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-22-2-11-11-111−3i321+3i32−1+3i32−1−3i321-11-11-1−1+3i32−1−3i321−3i321+3i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000000000000000
χ1214-4-44-44-444-2-24-422224-4-2-4-2-2-2111-44-442-22-22-22-22222-1-1-1-1-1-1-2-21114-4-22-222-22-2-11-1-1112-22-2-11-1-111-22-221-111-1-1000000000000000000000000000000000000000000000
χ1224-4-44-44-44-24-24-4-4-422-22-224-21-2112-22-2-44-442-22-222-1-122-1-1-1-1-21-211-22-224-42-2-112-2-1-1112-2-112-2-1-111-221-1-2211-1-1000000000000000000000000000000000000000000000
χ1234-4-44-44-44-2-244-422-4-4-2242-21-2-2112-22-22-22-2-44-44-1-12222-1-1-1-11-2-211-224-4-22-112-22-2-1-111-112-22-2-1-1111-1-22-2211-1-1000000000000000000000000000000000000000000000
χ1244-4-44-44-44-2-2-24-42222-22-22-2111−1−3i32−1+3i322-22-22-22-22-22-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-22-22-11-11-111+3i321−3i32−1−3i32−1+3i32-11-11-111+3i321−3i32−1−3i32−1+3i321-11-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000000000000000
χ1254-4-44-44-44-2-2-24-42222-22-22-2111−1+3i32−1−3i322-22-22-22-22-22-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-22-22-11-11-111−3i321+3i32−1+3i32−1−3i32-11-11-111−3i321+3i32−1+3i32−1−3i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000000000000000
χ12688-8-800008-4-400-44-44-884-84-4-4222000000000000-44-442-222-2-244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12788-8-80000-48-4008-8-444-444-8-42-422000000000000-442-2-4422-2-24-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12888-8-80000-4-4800-448-84-4-8442-4-4220000000000002-2-44-4422-2-2-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12988-8-80000-4-4-400-44-444-4444222−1−3i3−1+3i30000000000002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13088-8-80000-4-4-400-44-444-4444222−1+3i3−1−3i30000000000002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-88-800008-4-4004-44-4-8-8484-4-42220000000000004-44-4-22-2-22244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-88-80000-48-400-884-4444-4-8-42-4220000000000004-4-224-4-2-2224-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-88-80000-4-48004-4-8844-8-442-4-422000000000000-224-44-4-2-222-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-88-80000-4-4-4004-44-4444-44222−1−3i3−1+3i3000000000000-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-88-80000-4-4-4004-44-4444-44222−1+3i3−1−3i3000000000000-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000

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