Finite Group Databasebeta

← Group #13178643

Character table — Group #13178643

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222222244444444444444444444444444444444888888888888888888888888888888888899991818181818181818181818181818363636363636363636363636363636363636363672727272
order12222233366666666623333346666666666666666666666612126666666666666666666666121212121212121212121212444444444444441212121224444412121212121212121212121212126121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11
χ5111111111111111111-111111-11111-1-111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ6111111111111111111-111111-11111-1-111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111
χ7111111111111111111-111111-11111-1-111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1111-1-11
χ8111111111111111111-111111-11111-1-111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-111-111-1
χ91111-1-1111111111111111111-1-1-1-1-111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111111-11-11-1-1-111-1-111-1-1-1-11111-1-1
χ101111-1-1111111111111111111-1-1-1-1-111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-111-1-11-1-1-1-111-1-111-1-111-1-111
χ111111-1-1111111111111111111-1-1-1-1-111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-11-111-111-1-11111-1-111-1-1-11-11
χ121111-1-1111111111111111111-1-1-1-1-111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11-111111-1-1-1-11111-1-11-11-1
χ131111-1-1111111111111-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-11111-11-11-111111-1-111-1-1-1-1-1-1-1-111
χ141111-1-1111111111111-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-11111111-1-111-111-1-111-1-111-1-1-1-111-1-1
χ151111-1-1111111111111-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-111-1-1-1-11-11-1-11-1-1-1-11111-1-111111-11-1
χ161111-1-1111111111111-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-111-11-1-1-111-1-1-1-1111111-11-11
χ1722222222-1-12222-1-12222-1-1-1-12222222-1-122-1-1-1-1-1-1-1-12-1-1-1-1222-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-100000000002222000022000000-1-1-1-100000000-100-1
χ1822222222-1-12222-1-12222-1-1-1-12222222-1-122-1-1-1-1-1-1-1-12-1-1-1-1222-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-10000000000-2-2-2-20000-2-20000001111000000001001
χ1922222222-1-12222-1-122-22-1-1-1-1-22222-2-2-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2122-1-1-1-1-1-1-1-1-2-2111111111-2-2-211111111000000000022220000-2-2000000-1-1-1-1000000001001
χ2022222222-1-12222-1-122-22-1-1-1-1-22222-2-2-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2122-1-1-1-1-1-1-1-1-2-2111111111-2-2-2111111110000000000-2-2-2-2000022000000111100000000-100-1
χ212222222-12222-1-122-122-12-1-1-1222-1-12222-1-122-1-1-1-1-1-1-12-1-1-122-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1000022220000000000000022000000-1-1-1-100000-1-10
χ222222222-12222-1-122-122-12-1-1-1222-1-12222-1-122-1-1-1-1-1-1-12-1-1-122-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-10000-2-2-2-200000000000000-2-2000000111100000110
χ232222222-12222-1-122-12-2-12-1-1-1-222-1-1-2-222-1-122-1-1-1-1-1-1-12-1-1-1-2-21-2-1-122-1-1-1-1-1-111-2-2111111-2111-2-21111110000222200000000000000-2-2000000-1-1-1-100000110
χ242222222-12222-1-122-12-2-12-1-1-1-222-1-1-2-222-1-122-1-1-1-1-1-1-12-1-1-1-2-21-2-1-122-1-1-1-1-1-111-2-2111111-2111-2-21111110000-2-2-2-20000000000000022000000111100000-1-10
χ25222222-1222-1-122222-12-1-12-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122220000220000-1-1-1-1002200-1-100000000-1-1-1-10000
χ26222222-1222-1-122222-12-1-12-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-20000-2-20000111100-2-200110000000011110000
χ27222222-1222-1-122222-1-2-1-12-1-1-2-1-1221122-1-1-1-122-1-1-1-1-1-12-1-111-2-2-1-1-1-122-1-1-1-11111-2-21111-2-21111-2-2111122220000220000-1-1-1-100-2-2001100000000-1-1110000
χ28222222-1222-1-122222-1-2-1-12-1-1-2-1-1221122-1-1-1-122-1-1-1-1-1-12-1-111-2-2-1-1-1-122-1-1-1-11111-2-21111-2-21111-2-21111-2-2-2-20000-2-200001111002200-1-10000000011-1-10000
χ292222-2-222-1-12222-1-12222-1-1-1-1-2-2-2-2-2221122-1-1-1-1-1-1-1-12-1-1-1-1-2-22-1-2-21111111122-1-1-1-1-1-1-1-11-2-2-211111111000000000022-2-200002-2000000-1-11100000000-1001
χ302222-2-222-1-12222-1-12222-1-1-1-1-2-2-2-2-2221122-1-1-1-1-1-1-1-12-1-1-1-1-2-22-1-2-21111111122-1-1-1-1-1-1-1-11-2-2-2111111110000000000-2-2220000-2200000011-1-100000000100-1
χ312222-2-222-1-12222-1-122-22-1-1-1-12-2-2-2-2-2-21122-1-1-1-1-1-1-1-12-1-1-1-122-21-2-211111111-2-211111111-1222-1-1-1-1-1-1-1-1000000000022-2-20000-22000000-1-11100000000100-1
χ322222-2-222-1-12222-1-122-22-1-1-1-12-2-2-2-2-2-21122-1-1-1-1-1-1-1-12-1-1-1-122-21-2-211111111-2-211111111-1222-1-1-1-1-1-1-1-10000000000-2-22200002-200000011-1-100000000-1001
χ332222-2-22-12222-1-122-122-12-1-1-1-2-2-21122-2-2-1-122-1-1-1-1-1-1-12-1-1-1-2-2-1211-2-2111111-1-122-1-1-1-1-1-1-2111-2-2111111000022-2-2000000000000002-2000000-1-11100000-110
χ342222-2-22-12222-1-122-122-12-1-1-1-2-2-21122-2-2-1-122-1-1-1-1-1-1-12-1-1-1-2-2-1211-2-2111111-1-122-1-1-1-1-1-1-2111-2-21111110000-2-22200000000000000-2200000011-1-1000001-10
χ352222-2-22-12222-1-122-12-2-12-1-1-12-2-211-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-1221-211-2-211111111-2-21111112-1-1-122-1-1-1-1-1-1000022-2-200000000000000-22000000-1-111000001-10
χ362222-2-22-12222-1-122-12-2-12-1-1-12-2-211-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-1221-211-2-211111111-2-21111112-1-1-122-1-1-1-1-1-10000-2-222000000000000002-200000011-1-100000-110
χ372222-2-2-1222-1-122222-12-1-12-1-1-211-2-2-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-111221111-2-21111-1-1-1-122-1-1-1-1-2-21111-2-2111122220000-2-20000-1-1-1-1002-200110000000011-1-10000
χ382222-2-2-1222-1-122222-12-1-12-1-1-211-2-2-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-111221111-2-21111-1-1-1-122-1-1-1-1-2-21111-2-21111-2-2-2-20000220000111100-2200-1-100000000-1-1110000
χ392222-2-2-1222-1-122222-1-2-1-12-1-1211-2-211-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1-1-2-21111-2-211111111-2-2111122-1-1-1-122-1-1-1-122220000-2-20000-1-1-1-100-2200-1-10000000011110000
χ402222-2-2-1222-1-122222-1-2-1-12-1-1211-2-211-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1-1-2-21111-2-211111111-2-2111122-1-1-1-122-1-1-1-1-2-2-2-200002200001111002-2001100000000-1-1-1-10000
χ4122-2-22-2222-22-2-2-22-22-202222202-22-2002-2-2-2-2-2-2-2-2-2-2-22222200002-22-22-222-2-200000000000000000000002i2i−2i−2i00002i−2i00002i2i−2i−2i00000000000000002i−2i000000
χ4222-2-22-2222-22-2-2-22-22-202222202-22-2002-2-2-2-2-2-2-2-2-2-2-22222200002-22-22-222-2-20000000000000000000000−2i−2i2i2i0000−2i2i0000−2i−2i2i2i0000000000000000−2i2i000000
χ4322-2-22-2-122-2-11-2-22-2210-1-12-1-10-112-2−i3i32-21111-2-21111-1-12-1-1−i3i300-11-112-2-1-111−i3i3−i3i300−i3−i3i3i300−i3i3−i3i300−i3−i3i3i32i2i−2i−2i00002i−2i0000−i−iii0000003−300000000−ii3−30000
χ4422-2-22-2-122-2-11-2-22-2210-1-12-1-10-112-2−i3i32-21111-2-21111-1-12-1-1−i3i300-11-112-2-1-111−i3i3−i3i300−i3−i3i3i300−i3i3−i3i300−i3−i3i3i3−2i−2i2i2i0000−2i2i0000ii−i−i000000−3300000000i−i−330000
χ4522-2-22-2-122-2-11-2-22-2210-1-12-1-10-112-2i3−i32-21111-2-21111-1-12-1-1i3−i300-11-112-2-1-111i3−i3i3−i300i3i3−i3−i300i3−i3i3−i300i3i3−i3−i32i2i−2i−2i00002i−2i0000−i−iii000000−3300000000−ii−330000
χ4622-2-22-2-122-2-11-2-22-2210-1-12-1-10-112-2i3−i32-21111-2-21111-1-12-1-1i3−i300-11-112-2-1-111i3−i3i3−i300i3i3−i3−i300i3−i3i3−i300i3i3−i3−i3−2i−2i2i2i0000−2i2i0000ii−i−i0000003−300000000i−i3−30000
χ4722-2-2-22222-22-2-2-22-22-20222220-22-2200-22-2-2-2-2-2-2-2-2-2-2222220000-22-22-22-2-22200000000000000000000002i2i−2i−2i0000−2i2i00002i2i−2i−2i0000000000000000−2i2i000000
χ4822-2-2-22222-22-2-2-22-22-20222220-22-2200-22-2-2-2-2-2-2-2-2-2-2222220000-22-22-22-2-2220000000000000000000000−2i−2i2i2i00002i−2i0000−2i−2i2i2i00000000000000002i−2i000000
χ4922-2-2-22-122-2-11-2-22-2210-1-12-1-101-1-22−i3i3-221111-2-21111-1-12-1-1i3−i3001-11-1-2211-1-1−i3i3−i3i300−i3−i3i3i300i3−i3i3−i300i3i3−i3−i32i2i−2i−2i0000−2i2i0000−i−iii000000−3300000000i−i3−30000
χ5022-2-2-22-122-2-11-2-22-2210-1-12-1-101-1-22−i3i3-221111-2-21111-1-12-1-1i3−i3001-11-1-2211-1-1−i3i3−i3i300−i3−i3i3i300i3−i3i3−i300i3i3−i3−i3−2i−2i2i2i00002i−2i0000ii−i−i0000003−300000000−ii−330000
χ5122-2-2-22-122-2-11-2-22-2210-1-12-1-101-1-22i3−i3-221111-2-21111-1-12-1-1−i3i3001-11-1-2211-1-1i3−i3i3−i300i3i3−i3−i300−i3i3−i3i300−i3−i3i3i32i2i−2i−2i0000−2i2i0000−i−iii0000003−300000000i−i−330000
χ5222-2-2-22-122-2-11-2-22-2210-1-12-1-101-1-22i3−i3-221111-2-21111-1-12-1-1−i3i3001-11-1-2211-1-1i3−i3i3−i300i3i3−i3−i300−i3i3−i3i300−i3−i3i3i3−2i−2i2i2i00002i−2i0000ii−i−i000000−3300000000−ii3−30000
χ532-22-2002222-2-22-2-2-2-220222220000000002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000002-22-2002i−2i00002i−2i2-22-200000000002i−2i002i−2i00000000
χ542-22-2002222-2-22-2-2-2-220222220000000002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000002-22-200−2i2i0000−2i2i2-22-20000000000−2i2i00−2i2i00000000
χ552-22-2002222-2-22-2-2-2-220222220000000002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000-22-22002i−2i0000−2i2i-22-220000000000−2i2i002i−2i00000000
χ562-22-2002222-2-22-2-2-2-220222220000000002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000-22-2200−2i2i00002i−2i-22-2200000000002i−2i00−2i2i00000000
χ572-2-2200222-2-22-22-22-2-2022222000000000-22-22-22-2-222-2-2-2-2-20000000000000000000000000000000000002i−2i−2i2i2i−2i00002-2002i−2i−2i2i000000002-2002i−2i0000000000
χ582-2-2200222-2-22-22-22-2-2022222000000000-22-22-22-2-222-2-2-2-2-20000000000000000000000000000000000002i−2i−2i2i−2i2i0000-22002i−2i−2i2i00000000-2200−2i2i0000000000
χ592-2-2200222-2-22-22-22-2-2022222000000000-22-22-22-2-222-2-2-2-2-2000000000000000000000000000000000000−2i2i2i−2i2i−2i0000-2200−2i2i2i−2i00000000-22002i−2i0000000000
χ602-2-2200222-2-22-22-22-2-2022222000000000-22-22-22-2-222-2-2-2-2-2000000000000000000000000000000000000−2i2i2i−2i−2i2i00002-200−2i2i2i−2i000000002-200−2i2i0000000000
χ614444444-2-2-244-2-2-2-2-244-2-2111444-2-244-2-2-2-2-2-2111111-2-211144-2-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2-2-2111111000000000000000000000000000000000000000000
χ624444444-2-2-244-2-2-2-2-24-4-2-2111-444-2-2-4-4-2-2-2-2-2-2111111-2-2111-4-422-2-2-2-21111112222-1-1-1-1-1-1222222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ63444444-24-2-2-2-244-2-24-24-21-2114-2-244-2-2-2-2-2-211-2-21111-21-211-2-24-2-2-211-2-21111-2-211-2-21111-24-2-211-2-21111000000000000000000000000000000000000000000
χ64444444-24-2-2-2-244-2-24-2-4-21-211-4-2-24422-2-2-2-211-2-21111-21-21122-42-2-211-2-2111122-1-122-1-1-1-12-422-1-122-1-1-1-1000000000000000000000000000000000000000000
χ65444444-2-244-2-2-2-244-2-241-2-2114-2-2-2-2-2-24411-2-2-2-211111-2-211-2-2-2411-2-2-2-2111111-2-2-2-211114-211-2-2-2-21111000000000000000000000000000000000000000000
χ66444444-2-244-2-2-2-244-2-2-41-2-211-4-2-2-2-2224411-2-2-2-211111-2-211222-411-2-2-2-21111-1-12222-1-1-1-1-42-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ67444444-2-2-2-2-2-2-2-2-2-2-2-24111−1−3i32−1+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+3i32000000000000000000000000000000000000000000
χ68444444-2-2-2-2-2-2-2-2-2-2-2-24111−1+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+3i32−1−3i32000000000000000000000000000000000000000000
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χ70444444-2-2-2-2-2-2-2-2-2-2-2-2-4111−1+3i32−1−3i32-4-2-2-2-222-2-2111111−1+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+3i32000000000000000000000000000000000000000000
χ714444-4-44-2-2-244-2-2-2-2-244-2-2111-4-4-4224422-2-2-2-2111111-2-2111-4-4-2-22222-1-1-1-1-1-1-2-2-2-2111111222222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ724444-4-44-2-2-244-2-2-2-2-24-4-2-21114-4-422-4-422-2-2-2-2111111-2-211144222222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2111111000000000000000000000000000000000000000000
χ734444-4-4-24-2-2-2-244-2-24-24-21-211-422-4-4-2-222-2-211-2-21111-21-211224-222-1-122-1-1-1-1-2-211-2-211112-422-1-122-1-1-1-1000000000000000000000000000000000000000000
χ744444-4-4-24-2-2-2-244-2-24-2-4-21-211422-4-42222-2-211-2-21111-21-211-2-2-4222-1-122-1-1-1-122-1-122-1-1-1-1-24-2-211-2-21111000000000000000000000000000000000000000000
χ754444-4-4-2-244-2-2-2-244-2-241-2-211-42222-2-2-4-411-2-2-2-211111-2-21122-24-1-12222-1-1-1-111-2-2-2-21111-42-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ764444-4-4-2-244-2-2-2-244-2-2-41-2-2114222222-4-411-2-2-2-211111-2-211-2-22-4-1-12222-1-1-1-1-1-12222-1-1-1-14-211-2-2-2-21111000000000000000000000000000000000000000000
χ774444-4-4-2-2-2-2-2-2-2-2-2-2-2-24111−1−3i32−1+3i32-42222-2-222111111−1−3i32−1+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+3i321−3i32000000000000000000000000000000000000000000
χ784444-4-4-2-2-2-2-2-2-2-2-2-2-2-24111−1+3i32−1−3i32-42222-2-222111111−1+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+3i32000000000000000000000000000000000000000000
χ794444-4-4-2-2-2-2-2-2-2-2-2-2-2-2-4111−1−3i32−1+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+3i32000000000000000000000000000000000000000000
χ804444-4-4-2-2-2-2-2-2-2-2-2-2-2-2-4111−1+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+3i32−1−3i32000000000000000000000000000000000000000000
χ8144-4-44-444-224-4-4-4-224-404-2-2-2-204-44-400-22-4-4222222224-2-2-2-200004-4-22-22-2-2220000000000000000000000000000000000000000000000000000000000000000
χ8244-4-44-44-24-44-4224-4-2-40-24-2-2-204-4-22004-422-4-4222222-24-2-2-20000-224-4-22-2-2220000000000000000000000000000000000000000000000000000000000000000
χ8344-4-44-44-2-224-422-22-2-40-2-211104-4-2200-222222-1-1-1-1-1-1-2-21110000-22-221-111-1-100003-33-3-330000003-33-3-33000000000000000000000000000000000000000000
χ8444-4-44-44-2-224-422-22-2-40-2-211104-4-2200-222222-1-1-1-1-1-1-2-21110000-22-221-111-1-10000-33-333-3000000-33-333-3000000000000000000000000000000000000000000
χ8544-4-44-4-24-22-22-4-4-22420-21-2110-224-4−2i32i3-2222-1-122-1-1-1-1-21-211−2i32i300-221-1-2211-1-1−2i32i3i3−i300i3i3−i3−i300−2i32i3i3−i300i3i3−i3−i3000000000000000000000000000000000000000000
χ8644-4-44-4-24-22-22-4-4-22420-21-2110-224-42i3−2i3-2222-1-122-1-1-1-1-21-2112i3−2i300-221-1-2211-1-12i3−2i3−i3i300−i3−i3i3i3002i3−2i3−i3i300−i3−i3i3i3000000000000000000000000000000000000000000
χ8744-4-44-4-2-24-4-22224-4-2201-2-2110-22-22−2i32i34-4-1-12222-1-1-1-11-2-211−2i32i3001-1-22-2211-1-1i3−i3−2i32i300i3i3−i3−i300i3−i3−2i32i300i3i3−i3−i3000000000000000000000000000000000000000000
χ8844-4-44-4-2-24-4-22224-4-2201-2-2110-22-222i3−2i34-4-1-12222-1-1-1-11-2-2112i3−2i3001-1-22-2211-1-1−i3i32i3−2i300−i3−i3i3i300−i3i32i3−2i300−i3−i3i3i3000000000000000000000000000000000000000000
χ8944-4-44-4-2-2-22-2222-22-220111−1−3i32−1+3i320-22-22−2i32i3-22-1-1-1-1-1-11+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+i32000000000000000000000000000000000000000000
χ9044-4-44-4-2-2-22-2222-22-220111−1−3i32−1+3i320-22-222i3−2i3-22-1-1-1-1-1-11+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−i32000000000000000000000000000000000000000000
χ9144-4-44-4-2-2-22-2222-22-220111−1+3i32−1−3i320-22-22−2i32i3-22-1-1-1-1-1-11−3i321+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+i32000000000000000000000000000000000000000000
χ9244-4-44-4-2-2-22-2222-22-220111−1+3i32−1−3i320-22-222i3−2i3-22-1-1-1-1-1-11−3i321+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−i32000000000000000000000000000000000000000000
χ9344-4-4-4444-224-4-4-4-224-404-2-2-2-20-44-44002-2-4-4222222224-2-2-2-20000-442-22-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ9444-4-4-444-24-44-4224-4-2-40-24-2-2-20-442-200-4422-4-4222222-24-2-2-200002-2-442-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ9544-4-4-444-2-224-422-22-2-40-2-21110-442-2002-22222-1-1-1-1-1-1-2-211100002-22-2-11-1-11100003-33-3-33000000-33-333-3000000000000000000000000000000000000000000
χ9644-4-4-444-2-224-422-22-2-40-2-21110-442-2002-22222-1-1-1-1-1-1-2-211100002-22-2-11-1-1110000-33-333-30000003-33-3-33000000000000000000000000000000000000000000
χ9744-4-4-44-24-22-22-4-4-22420-21-21102-2-44−2i32i32-222-1-122-1-1-1-1-21-2112i3−2i3002-2-112-2-1-111−2i32i3i3−i300i3i3−i3−i3002i3−2i3−i3i300−i3−i3i3i3000000000000000000000000000000000000000000
χ9844-4-4-44-24-22-22-4-4-22420-21-21102-2-442i3−2i32-222-1-122-1-1-1-1-21-211−2i32i3002-2-112-2-1-1112i3−2i3−i3i300−i3−i3i3i300−2i32i3i3−i300i3i3−i3−i3000000000000000000000000000000000000000000
χ9944-4-4-44-2-24-4-22224-4-2201-2-21102-22-2−2i32i3-44-1-12222-1-1-1-11-2-2112i3−2i300-112-22-2-1-111i3−i3−2i32i300i3i3−i3−i300−i3i32i3−2i300−i3−i3i3i3000000000000000000000000000000000000000000
χ10044-4-4-44-2-24-4-22224-4-2201-2-21102-22-22i3−2i3-44-1-12222-1-1-1-11-2-211−2i32i300-112-22-2-1-111−i3i32i3−2i300−i3−i3i3i300i3−i3−2i32i300i3i3−i3−i3000000000000000000000000000000000000000000
χ10144-4-4-44-2-2-22-2222-22-220111−1−3i32−1+3i3202-22-2−2i32i32-2-1-1-1-1-1-11+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−i32000000000000000000000000000000000000000000
χ10244-4-4-44-2-2-22-2222-22-220111−1−3i32−1+3i3202-22-22i3−2i32-2-1-1-1-1-1-11+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+i32000000000000000000000000000000000000000000
χ10344-4-4-44-2-2-22-2222-22-220111−1+3i32−1−3i3202-22-2−2i32i32-2-1-1-1-1-1-11−3i321+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−i32000000000000000000000000000000000000000000
χ10444-4-4-44-2-2-22-2222-22-220111−1+3i32−1−3i3202-22-22i3−2i32-2-1-1-1-1-1-11−3i321+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+i32000000000000000000000000000000000000000000
χ1054-44-40044-2-2-4-44-422-4404-2-2-2-20000000004-4-22-22-2-222-422220000000000000000000000000000000000000000000000004i−4i00000000000000−2i2i000000000000
χ1064-44-40044-2-2-4-44-422-4404-2-2-2-20000000004-4-22-22-2-222-42222000000000000000000000000000000000000000000000000−4i4i000000000000002i−2i000000000000
χ1074-44-4004-244-4-4-22-4-4240-24-2-2-2000000000-224-4-22-2-2222-42220000000000000000000000000000000000000000004i−4i000000000000000000000000−2i2i00000000
χ1084-44-4004-244-4-4-22-4-4240-24-2-2-2000000000-224-4-22-2-2222-4222000000000000000000000000000000000000000000−4i4i0000000000000000000000002i−2i00000000
χ1094-44-400-2444224-4-4-4-4-20-2-24-2-2000000000-22-224-4-2-22222-4220000000000000000000000000000000000004-44-40000000000-22-22000000000000000000000000
χ1104-44-400-2444224-4-4-4-4-20-2-24-2-2000000000-22-224-4-2-22222-422000000000000000000000000000000000000-44-4400000000002-22-2000000000000000000000000
χ1114-4-440044-22-44-442-2-4-404-2-2-2-2000000000-442-22-222-2-2-4222200000000000000000000000000000000000000000000004-400000000000000-2200000000000000
χ1124-4-440044-22-44-442-2-4-404-2-2-2-2000000000-442-22-222-2-2-422220000000000000000000000000000000000000000000000-44000000000000002-200000000000000
χ1134-4-44004-24-4-442-2-442-40-24-2-2-20000000002-2-442-222-2-22-422200000000000000000000000000000000000000004i−4i000000000000000000000000−2i2i0000000000
χ1144-4-44004-24-4-442-2-442-40-24-2-2-20000000002-2-442-222-2-22-42220000000000000000000000000000000000000000−4i4i0000000000000000000000002i−2i0000000000
χ1154-4-4400-244-42-2-44-44-420-2-24-2-20000000002-22-2-4422-2-222-4220000000000000000000000000000000000004i−4i−4i4i0000000000−2i2i2i−2i000000000000000000000000
χ1164-4-4400-244-42-2-44-44-420-2-24-2-20000000002-22-2-4422-2-222-422000000000000000000000000000000000000−4i4i4i−4i00000000002i−2i−2i2i000000000000000000000000
χ1178-88-8008-4-4-4-8-8-4444480-4-4222000000000-44-442-222-2-244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-800-48-4-4448-844-8-40-42-422000000000-442-2-4422-2-24-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-800-4-48844-44-8-84-402-4-4220000000002-2-44-4422-2-2-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-800-4-4-4-444-44444-40222−1−3i3−1+3i30000000002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-800-4-4-4-444-44444-40222−1+3i3−1−3i30000000002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88008-4-44-884-44-44-80-4-42220000000004-44-4-22-2-22244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-8800-48-444-4-884-4-840-42-4220000000004-4-224-4-2-2224-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-8-8800-4-48-84-44-4-884402-4-422000000000-224-44-4-2-222-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-8800-4-4-444-44-44-4440222−1−3i3−1+3i3000000000-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-8800-4-4-444-44-44-4440222−1+3i3−1−3i3000000000-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000

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