Finite Group Databasebeta

← Group #13172170

Character table — Group #13172170

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222333344444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212181818182424242424242424242424243636363636363636363636363636363654545454
order122222333666666666444433366666666666666666664412121212121212123666666666662444661212121212121212121212121212121212124444666121212121212121212244466121212121212121212122222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111111-1-1-1-1111111111111-1-1-1-1111-1-1111-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-111-1-1-111111111-1-111111111-1-1-1-1-1-1-111-1-1-11111-111-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-111-1-1-11111-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-1111-1-1-1-111-1-1-1-11111
χ8111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ91111-1-11111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111111111-1-1-1-1111-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-11-11-1-111-1-11111-1-111-1-1
χ101111-1-11111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111111111-1-1-1-1111-1-1-1-11-11-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111-11-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-111
χ111111-1-11111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111111111-1-1-1-1111-1-1-1-1-11-11-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-11-111111-1-111-1-11111-1-1-1-1-1-111-1-111
χ121111-1-11111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1111-11-111-1-111-1-111-1-111-1-1
χ131111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-11-11-111-1-111-1-111-1-1-1-111
χ141111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-11-11111-1-11111-1-1-1-1-1-11111-1-111111-11-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1
χ151111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-11-11-1-11111-1-11111-1-1-1-11111-1-111-1-1-11-111111-1-1-1-111-1-1-1-11111-1-11111-1-1
χ161111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-11111-1-111-11-11-1-111-1-11111-1-1-1-111
χ1722222222-1-1-122222-1222222-1-12222-1-12-1-1-1-1-1-1-1-122-1-1222222-1-1-1-1-122-1-1-1-1-1-1-1-1-12002-1-1220000-1-1-1-1-1-1-1-1-1-1-1-100002-1-1002-1-100002002-1-10000-1-100000000
χ1822222222-1-1-122222-1222222-1-12222-1-12-1-1-1-1-1-1-1-122-1-1222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-200-211220000-1-111-1-1-1-1-1-1-1-10000-21100-2110000-200-21100001100000000
χ1922222222-1-1-122222-12-2-2-2-22-1-12222-1-12-1-1-1-1-1-1-1-122-1-1-2-2-2-2-2-21111-122-1-1-1-1-1-1-1-1-12002-1-1-2-2000011-1-11111111100002-1-1002-1-10000-200-21100001100000000
χ2022222222-1-1-122222-12-2-2-2-22-1-12222-1-12-1-1-1-1-1-1-1-122-1-1-2-2-2-2-2-21111-122-1-1-1-1-1-1-1-1-1-200-211-2-200001111111111110000-21100-21100002002-1-10000-1-100000000
χ212222222-1222-1-12222-10000-12-122-1-122-1222222-1-1-1-1-120000000000-1-1-1-1-1-1-1-1-1-1-1-12222220022220022000000002222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-10000
χ222222222-1222-1-12222-10000-12-122-1-122-1222222-1-1-1-1-120000000000-1-1-1-1-1-1-1-1-1-1-1-12-2-222200-2-2-2-2002200000000-2-2-2-2-1-1-111-1-1-1111100000000000011110000
χ232222222-1222-1-12222-10000-12-122-1-122-1222222-1-1-1-1-120000000000-1-1-1-1-1-1-1-1-1-1-1-1-222-2-2-200222200-2-200000000-2-2-2-2111-1-1111-1-1-1-100000000000011110000
χ242222222-1222-1-12222-10000-12-122-1-122-1222222-1-1-1-1-120000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200-2-2-2-200-2-2000000002222111111111111000000000000-1-1-1-10000
χ25222222-1222222-1-1-1222222-1-12-1-12222-1-1-1-1-1-1-122-1-12-122-1-1-1-12222-1-1-122-1-1-1-1-1-1-1022000-1-1-1-1-1-12200-1-1-1-1-1-1-1-1000000022000-1-1-1-1022000-1-1-1-10000000000
χ26222222-1222222-1-1-1222222-1-12-1-12222-1-1-1-1-1-1-122-1-12-122-1-1-1-12222-1-1-122-1-1-1-1-1-1-10-2-2000-1-111112200-1-1-1-1-1-1-1-10000000-2-200011110-2-200011110000000000
χ27222222-1222222-1-1-122-2-2-2-2-1-12-1-12222-1-1-1-1-1-1-122-1-12-1-2-21111-2-2-2-2-1-1-122-1-1-1-1-1-1-102200011-1-1-1-1-2-20011111111000000022000-1-1-1-10-2-200011110000000000
χ28222222-1222222-1-1-122-2-2-2-2-1-12-1-12222-1-1-1-1-1-1-122-1-12-1-2-21111-2-2-2-2-1-1-122-1-1-1-1-1-1-10-2-2000111111-2-200111111110000000-2-20001111022000-1-1-1-10000000000
χ292222-2-222-1-1-122222-1222222-1-1-2-2-2-2112-1-11111-1-122-1-1-2-22222-1-1-1-1-1-2-211-1-1-11111200-2-1-1-2-200001111-1-1-1-1111100002-1-100-2110000-2002110000-1-100000000
χ302222-2-222-1-1-122222-1222222-1-1-2-2-2-2112-1-11111-1-122-1-1-2-22222-1-1-1-1-1-2-211-1-1-11111-200211-2-2000011-1-1-1-1-1-111110000-211002-1-10000200-2-1-100001100000000
χ312222-2-222-1-1-122222-12-2-2-2-22-1-1-2-2-2-2112-1-11111-1-122-1-122-2-2-2-21111-1-2-211-1-1-11111200-2-1-1220000-1-1111111-1-1-1-100002-1-100-2110000200-2-1-100001100000000
χ322222-2-222-1-1-122222-12-2-2-2-22-1-1-2-2-2-2112-1-11111-1-122-1-122-2-2-2-21111-1-2-211-1-1-11111-200211220000-1-1-1-11111-1-1-1-10000-211002-1-10000-2002110000-1-100000000
χ332222-2-22-1222-1-12222-10000-12-1-2-211-2-2-122-2-2-2-2-1-1-1-1-120000000000-11111-1-1-1111122-2-2220022-2-200-2-20000000022-2-2-1-1-1-11111-1-111000000000000-1-1110000
χ342222-2-22-1222-1-12222-10000-12-1-2-211-2-2-122-2-2-2-2-1-1-1-1-120000000000-11111-1-1-111112-22-22200-2-22200-2-200000000-2-222-1-1-11-111111-1-100000000000011-1-10000
χ352222-2-22-1222-1-12222-10000-12-1-2-211-2-2-122-2-2-2-2-1-1-1-1-120000000000-11111-1-1-11111-22-22-2-20022-2-2002200000000-2-222111-11-1-1-1-1-11100000000000011-1-10000
χ362222-2-22-1222-1-12222-10000-12-1-2-211-2-2-122-2-2-2-2-1-1-1-1-120000000000-11111-1-1-11111-2-222-2-200-2-22200220000000022-2-21111-1-1-1-111-1-1000000000000-1-1110000
χ372222-2-2-1222222-1-1-1222222-1-1211-2-2-2-2-1-1-1111122-1-12-1-2-2-1-1-1-12222-111-2-2-1-1-1111102-200011-1-111-2-200-1-1-1-1111100000002-2000-1-11102-2000-1-1110000000000
χ382222-2-2-1222222-1-1-1222222-1-1211-2-2-2-2-1-1-1111122-1-12-1-2-2-1-1-1-12222-111-2-2-1-1-111110-220001111-1-1-2-200-1-1-1-111110000000-2200011-1-10-2200011-1-10000000000
χ392222-2-2-1222222-1-1-122-2-2-2-2-1-1211-2-2-2-2-1-1-1111122-1-12-1221111-2-2-2-2-111-2-2-1-1-1111102-2000-1-1-1-11122001111-1-1-1-100000002-2000-1-1110-2200011-1-10000000000
χ402222-2-2-1222222-1-1-122-2-2-2-2-1-1211-2-2-2-2-1-1-1111122-1-12-1221111-2-2-2-2-111-2-2-1-1-111110-22000-1-111-1-122001111-1-1-1-10000000-2200011-1-102-2000-1-1110000000000
χ4122-2-2002222-22-2-22-2-2-22i2i−2i−2i222000000-22-200002-22-2-2-2002i2i−2i−2i2i2i−2i−2i200002-2-2000000000000000000002i2i−2i−2i0000002i−2i000000000000000000000000002i−2i002-2
χ4222-2-2002222-22-2-22-2-2-22i2i−2i−2i222000000-22-200002-22-2-2-2002i2i−2i−2i2i2i−2i−2i200002-2-2000000000000000000002i2i−2i−2i000000−2i2i00000000000000000000000000−2i2i00-22
χ4322-2-2002222-22-2-22-2-2-2−2i−2i2i2i222000000-22-200002-22-2-2-200−2i−2i2i2i−2i−2i2i2i200002-2-200000000000000000000−2i−2i2i2i0000002i−2i000000000000000000000000002i−2i00-22
χ4422-2-2002222-22-2-22-2-2-2−2i−2i2i2i222000000-22-200002-22-2-2-200−2i−2i2i2i−2i−2i2i2i200002-2-200000000000000000000−2i−2i2i2i000000−2i2i00000000000000000000000000−2i2i002-2
χ452-22-200222-22-22-2-22-2-22i−2i2i−2i222000000-2-220000-22-22-2-2002i−2i2i−2i2i−2i2i−2i20000-22-2000000000000000000002i−2i2i−2i00002i−2i000000000000000000000000002i−2i002-200
χ462-22-200222-22-22-2-22-2-22i−2i2i−2i222000000-2-220000-22-22-2-2002i−2i2i−2i2i−2i2i−2i20000-22-2000000000000000000002i−2i2i−2i0000−2i2i00000000000000000000000000−2i2i00-2200
χ472-22-200222-22-22-2-22-2-2−2i2i−2i2i222000000-2-220000-22-22-2-200−2i2i−2i2i−2i2i−2i2i20000-22-200000000000000000000−2i2i−2i2i00002i−2i000000000000000000000000002i−2i00-2200
χ482-22-200222-22-22-2-22-2-2−2i2i−2i2i222000000-2-220000-22-22-2-200−2i2i−2i2i−2i2i−2i2i20000-22-200000000000000000000−2i2i−2i2i0000−2i2i00000000000000000000000000−2i2i002-200
χ492-2-222-2222-2-2-2-22-2-2222-2-222222-22-22-22-2-222-2-2-2-2-2-2222-22-2-222-2-2222-22-2-2-2222-2-20000002-200002-2002-2-2222-2-2000000000000000000000000000000000000
χ502-2-222-2222-2-2-2-22-2-222-222-22222-22-22-22-2-222-2-2-2-2-2-222-22-222-2-222-222-22-2-2-2222-2-2000000-220000-2200-222-2-2-222000000000000000000000000000000000000
χ512-2-222-222-111-2-22-2-2-122-2-222-1-12-22-2-11211-1-11111-2-2-1-12-22-2-22-111-1-12-2-1111-1-1-1110000−i3i32-20000-11−i3i3-111-1-1-11100000−i3i3000−i3i300000000−i3i30000−i3i300000000
χ522-2-222-222-111-2-22-2-2-122-2-222-1-12-22-2-11211-1-11111-2-2-1-12-22-2-22-111-1-12-2-1111-1-1-1110000i3−i32-20000-11i3−i3-111-1-1-11100000i3−i3000i3−i300000000i3−i30000i3−i300000000
χ532-2-222-222-111-2-22-2-2-12-222-22-1-12-22-2-11211-1-11111-2-2-1-1-22-222-21-1-11-12-2-1111-1-1-1110000−i3i3-2200001-1−i3i31-1-1111-1-100000−i3i3000−i3i300000000i3−i30000i3−i300000000
χ542-2-222-222-111-2-22-2-2-12-222-22-1-12-22-2-11211-1-11111-2-2-1-1-22-222-21-1-11-12-2-1111-1-1-1110000i3−i3-2200001-1i3−i31-1-1111-1-100000i3−i3000i3−i300000000−i3i30000−i3i300000000
χ552-2-222-2-122-2-2-2-2-111222-2-22-1-12-112-22-2-111-1-111-2-2112-12-2-111-12-2-22-1-112-211-1-1-111000000-113−33−32-200-111-1-1-1110000000000003−33−30000003−33−30000000000
χ562-2-222-2-122-2-2-2-2-111222-2-22-1-12-112-22-2-111-1-111-2-2112-12-2-111-12-2-22-1-112-211-1-1-111000000-11−33−332-200-111-1-1-111000000000000−33−33000000−33−330000000000
χ572-2-222-2-122-2-2-2-2-11122-222-2-1-12-112-22-2-111-1-111-2-2112-1-221-1-11-222-2-1-112-211-1-1-1110000001-13−33−3-22001-1-1111-1-10000000000003−33−3000000−33−330000000000
χ582-2-222-2-122-2-2-2-2-11122-222-2-1-12-112-22-2-111-1-111-2-2112-1-221-1-11-222-2-1-112-211-1-1-1110000001-1−33−33-22001-1-1111-1-1000000000000−33−330000003−33−30000000000
χ592-2-22-22222-2-2-2-22-2-2222-2-22222-22-22-222-2-2-2-222-2-2-2-222-222-2-222-2-222-22-22-2-22-2-222000000-220000-22002-2-22-2-222000000000000000000000000000000000000
χ602-2-22-22222-2-2-2-22-2-222-222-2222-22-22-222-2-2-2-222-2-2-2-2222-2-222-2-222-22-22-22-2-22-2-2220000002-200002-200-222-222-2-2000000000000000000000000000000000000
χ612-2-22-2222-111-2-22-2-2-122-2-222-1-1-22-221-121111-1-111-2-2-1-1-222-2-22-111-1-1-221-111-111-1-10000−i3i3-2200001-1i3−i3-111-111-1-100000−i3i3000i3−i300000000i3−i30000−i3i300000000
χ622-2-22-2222-111-2-22-2-2-122-2-222-1-1-22-221-121111-1-111-2-2-1-1-222-2-22-111-1-1-221-111-111-1-10000i3−i3-2200001-1−i3i3-111-111-1-100000i3−i3000−i3i300000000−i3i30000i3−i300000000
χ632-2-22-2222-111-2-22-2-2-12-222-22-1-1-22-221-121111-1-111-2-2-1-12-2-222-21-1-11-1-221-111-111-1-10000−i3i32-20000-11i3−i31-1-11-1-11100000−i3i3000i3−i300000000−i3i30000i3−i300000000
χ642-2-22-2222-111-2-22-2-2-12-222-22-1-1-22-221-121111-1-111-2-2-1-12-2-222-21-1-11-1-221-111-111-1-10000i3−i32-20000-11−i3i31-1-11-1-11100000i3−i3000−i3i300000000i3−i30000−i3i300000000
χ652-2-22-22-122-2-2-2-2-111222-2-22-1-121-1-22-22-11111-1-1-2-2112-1-22-111-12-2-22-11-1-2211-111-1-10000001-13−3−33-2200-111-111-1-10000000000003−3−330000003−3−330000000000
χ662-2-22-22-122-2-2-2-2-111222-2-22-1-121-1-22-22-11111-1-1-2-2112-1-22-111-12-2-22-11-1-2211-111-1-10000001-1−333−3-2200-111-111-1-1000000000000−333−3000000−333−30000000000
χ672-2-22-22-122-2-2-2-2-11122-222-2-1-121-1-22-22-11111-1-1-2-2112-12-21-1-11-222-2-11-1-2211-111-1-1000000-113−3−332-2001-1-11-1-1110000000000003−3−33000000−333−30000000000
χ682-2-22-22-122-2-2-2-2-11122-222-2-1-121-1-22-22-11111-1-1-2-2112-12-21-1-11-222-2-11-1-2211-111-1-1000000-11−333−32-2001-1-11-1-111000000000000−333−30000003−3−330000000000
χ694444444-2-2-2-2-2-2444-2-20000-2-2144-2-2-2-2-2-2-2-2-2-2-211-2-21-200000000001-2-21111111114004-2-200000000-2-2000000000000-21100-211000000000000000000000000
χ704444444-2-2-2-2-2-2444-2-20000-2-2144-2-2-2-2-2-2-2-2-2-2-211-2-21-200000000001-2-2111111111-400-42200000000220000000000002-1-1002-1-1000000000000000000000000
χ71444444-24-2-2-244-2-2-2-244444-21-2-2-244-2-2-2111111-2-2-2-2-2144-2-2-2-2-2-2-2-21-2-2-2-21111111000000-2-20000-2-20011111111000000000000000000000000000000000000
χ72444444-24-2-2-244-2-2-2-24-4-4-4-4-21-2-2-244-2-2-2111111-2-2-2-2-21-4-4222222221-2-2-2-211111110000002200002200-1-1-1-1-1-1-1-1000000000000000000000000000000000000
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χ1124-4-44-44-24-222-4-4-222-24-444-4-21-22-2-442-2-2-1-1-1-1112222-214-42-2-222-2-2212-22-2-1-11-1-111000000-220000-2200-111-111-1-1000000000000000000000000000000000000
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χ115888888-4-4-4-4-4-4-4-4-4-4-4-40000222-4-4-4-4-4-422222222222220000000000-12222-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ1168888-8-8-4-4-4-4-4-4-4-4-4-4-4-40000222444444222-2-2-2-22222220000000000-1-2-2-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).