Finite Group Databasebeta

← Group #13172362

Character table — Group #13172362

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222222222444444444444444444444444666666668888888888121212121212121212121212121212121212121212121212121212121212121212121212121224242424242436363636363636363636363636367272108108
order1222223336666666666666333666666666666666666666222266663666666666444466666666666666121212121212121212121212121212121212121212121212121222244466661212121261224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ91111-1-1111111-1-1-1-1111111111-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-111111-1-1111-1-1-1-11-11-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11-111-1-11-111-1-111-1-111-1-11-1-11
χ101111-1-1111111-1-1-1-1111111111-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-111111-1-1111-1-1-1-11-1-11-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111-111-1-1-11-11-11-1-11111-1-1-111-1
χ111111-1-1111111-1-1-1-1111111111-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-111111-1-1111-1-1-1-1-111-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-11-1-1111-1-1-11111-1-1-1-111-111-1
χ121111-1-1111111-1-1-1-1111111111-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-111111-1-1111-1-1-1-1-11-11-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-11-1-111-111-11-1-1-111-1-1111-1-11
χ131111-1-1111111-1-1-1-1111111111-1-1-1-1111-1-1-1-1111-1-1-1-1111-1-111-1-1-1-11-1-1111-1-1-1-11-11-111-1-111-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-11-111-1-1-111-11-1-1-111-1-1111-11-1
χ141111-1-1111111-1-1-1-1111111111-1-1-1-1111-1-1-1-1111-1-1-1-1111-1-111-1-1-1-11-1-1111-1-1-1-11-1-1111-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111111-111-1-11-1-1-11111-1-1-1-111-11-11
χ151111-1-1111111-1-1-1-1111111111-1-1-1-1111-1-1-1-1111-1-1-1-1111-1-111-1-1-1-11-1-1111-1-1-1-1-111-111-1-111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-11-1-111-11-11-11-1-11111-1-1-11-11
χ161111-1-1111111-1-1-1-1111111111-1-1-1-1111-1-1-1-1111-1-1-1-1111-1-111-1-1-1-11-1-1111-1-1-1-1-11-1111-1-111-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-11-1-1111-111-1-111-1-111-1-11-11-1
χ1722222222-12-1-1-1-1-1-122-12222-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-122-122222222-122-1-1-1-1-1-1-1002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222-1-1-1-1-1-1-1-1000000220000-1-1-1-100000000
χ1822222222-12-1-1-1-1-1-122-12222-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-122-122222222-122-1-1-1-1-1-1-100-2-222-1-1-1-1-1-1-1-1-1-1-1-111110000-2-2-2-211111111000000-2-20000111100000000
χ1922222222-12-1-1-1-1-1-122-12222-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-10022-2-2111111111111-1-1-1-100002222-1-1-1-1-1-1-1-1000000-2-20000111100000000
χ2022222222-12-1-1-1-1-1-122-12222-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-100-2-2-2-211111111111111110000-2-2-2-211111111000000220000-1-1-1-100000000
χ212222222-122222222-1-1222-1-1-1222-1-1-1-1-1-1-1-1-12222222-1-1-100000000-1-1-1-1-1-1-1-1-1-122220000000000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100200200000000-1-100
χ222222222-122222222-1-1222-1-1-1222-1-1-1-1-1-1-1-1-12222222-1-1-100000000-1-1-1-1-1-1-1-1-1-122-2-200000000000000-2-2-2-22222111111111111-1-1-1-1-1-100-200-2000000001100
χ232222222-122222222-1-1222-1-1-1222-1-1-1-1-1-1-1-1-12222222-1-1-100000000-1-1-1-1-1-1-1-1-1-1-2-222000000000000002222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111100-200-2000000001100
χ242222222-122222222-1-1222-1-1-1222-1-1-1-1-1-1-1-1-12222222-1-1-100000000-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000000000-2-2-2-2-2-2-2-211111111111111111100200200000000-1-100
χ25222222-122-1222222222-1-12-12-1-1-122-1222222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-12200-1-12222-1-1-1-1-1-1-1-10000-1-1-1-100000000000022-1-1-1-10002200000-1-1-1-10000
χ26222222-122-1222222222-1-12-12-1-1-122-1222222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-1-12222-1-1-1-1-1-1-1-100001111000000000000-2-21111000-2-20000011110000
χ27222222-122-1222222222-1-12-12-1-1-122-1222222-1-1-1-1-1-1-1-1-12-2-2-2-21111-1-1-1-1-1-1-1-1-1-1220011-2-2-2-2111111110000-1-1-1-100000000000022-1-1-1-1000-2-20000011110000
χ28222222-122-1222222222-1-12-12-1-1-122-1222222-1-1-1-1-1-1-1-1-12-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-2-20011-2-2-2-21111111100001111000000000000-2-211110002200000-1-1-1-10000
χ292222-2-222-12-1-1111122-12222-1-1-2-2-2-22-1-11111-1-1-1111122-122-2-22222-1-2-2-1-1-11111002-2-2-2-1-111-1-1-1-11111-1-111000022-2-2-1-1-1-111110000002-20000-1-11100000000
χ302222-2-222-12-1-1111122-12222-1-1-2-2-2-22-1-11111-1-1-1111122-122-2-22222-1-2-2-1-1-1111100-22-2-2-1-111-1-1-1-1111111-1-10000-2-2221111-1-1-1-1000000-22000011-1-100000000
χ312222-2-222-12-1-1111122-12222-1-1-2-2-2-22-1-11111-1-1-1111122-1-2-222-2-2-2-2-1-2-2-1-1-11111002-22211-1-11111-1-1-1-1-1-111000022-2-2-1-1-1-11111000000-22000011-1-100000000
χ322222-2-222-12-1-1111122-12222-1-1-2-2-2-22-1-11111-1-1-1111122-1-2-222-2-2-2-2-1-2-2-1-1-1111100-222211-1-11111-1-1-1-111-1-10000-2-2221111-1-1-1-10000002-20000-1-11100000000
χ332222-2-22-12222-2-2-2-2-1-1222-1-1-12-2-211-1-1-11111222-2-2-2-2-1-1-100000000-111-1-1-111112-22-20000000000000022-2-222-2-2-1-111-1-1-1-11111-11-1-11100200-200000000-1100
χ342222-2-22-12222-2-2-2-2-1-1222-1-1-12-2-211-1-1-11111222-2-2-2-2-1-1-100000000-111-1-1-111112-2-2200000000000000-2-22222-2-211-1-11111-1-1-1-1-11-1-11100-2002000000001-100
χ352222-2-22-12222-2-2-2-2-1-1222-1-1-12-2-211-1-1-11111222-2-2-2-2-1-1-100000000-111-1-1-11111-222-20000000000000022-2-2-2-222-1-111-1-1-1-111111-111-1-100-2002000000001-100
χ362222-2-22-12222-2-2-2-2-1-1222-1-1-12-2-211-1-1-11111222-2-2-2-2-1-1-100000000-111-1-1-11111-22-2200000000000000-2-222-2-22211-1-11111-1-1-1-11-111-1-100200-200000000-1100
χ372222-2-2-122-122-2-2-2-2222-1-12-12-111-2-2-122-2-2-2-2-1-1-11111-1-1222-2-2-1-1-1-1-111-1-1-111112-2001122-2-2-1-1-1-111110000-1-1110000000000002-2-1-1110002-200000-1-1110000
χ382222-2-2-122-122-2-2-2-2222-1-12-12-111-2-2-122-2-2-2-2-1-1-11111-1-1222-2-2-1-1-1-1-111-1-1-11111-22001122-2-2-1-1-1-11111000011-1-1000000000000-2211-1-1000-220000011-1-10000
χ392222-2-2-122-122-2-2-2-2222-1-12-12-111-2-2-122-2-2-2-2-1-1-11111-1-12-2-2221111-111-1-1-111112-200-1-1-2-2221111-1-1-1-10000-1-1110000000000002-2-1-111000-220000011-1-10000
χ402222-2-2-122-122-2-2-2-2222-1-12-12-111-2-2-122-2-2-2-2-1-1-11111-1-12-2-2221111-111-1-1-11111-2200-1-1-2-2221111-1-1-1-1000011-1-1000000000000-2211-1-10002-200000-1-1110000
χ412-2-222-22222-2-222-2-2-2-22-2-222222-22-22-2-222-2-22-2-222-2-2-2-222-22-222-2-222-22-2-222-2-200002-22-22-222-2-222-2-200000000000000000000000000000000000000000000
χ422-2-222-22222-2-222-2-2-2-22-2-222222-22-22-2-222-2-22-2-222-2-2-2-22-22-22-2-22222-22-2-222-2-20000-22-22-22-2-222-2-22200000000000000000000000000000000000000000000
χ432-2-222-222-1211-1-111-2-2-1-2-222-1-12-22-2211-1-111-111-1-111-2-2-12-22-222-2-2-12-2-111-1-11100002-2-11-11-1-111-1-111−i3i3−i3i300000000−i3−i3i3i3−i3−i3i3i3000000000000−i3i3−i3i300000000
χ442-2-222-222-1211-1-111-2-2-1-2-222-1-12-22-2211-1-111-111-1-111-2-2-12-22-222-2-2-12-2-111-1-11100002-2-11-11-1-111-1-111i3−i3i3−i300000000i3i3−i3−i3i3i3−i3−i3000000000000i3−i3i3−i300000000
χ452-2-222-222-1211-1-111-2-2-1-2-222-1-12-22-2211-1-111-111-1-111-2-2-1-22-22-2-222-12-2-111-1-1110000-221-11-111-1-111-1-1−i3i3−i3i300000000−i3−i3i3i3−i3−i3i3i3000000000000i3−i3i3−i300000000
χ462-2-222-222-1211-1-111-2-2-1-2-222-1-12-22-2211-1-111-111-1-111-2-2-1-22-22-2-222-12-2-111-1-1110000-221-11-111-1-111-1-1i3−i3i3−i300000000i3i3−i3−i3i3i3−i3−i3000000000000−i3i3−i3i300000000
χ472-2-222-2-122-1-2-222-2-2-2-22112-12-1-112-2-1-2-222-2-2-111-1-1111122-22-2-1-111-1-11-111-1-1110000-112-22-2-1-111-1-11100003−33−3000000000000003−33−300000000003−33−30000
χ482-2-222-2-122-1-2-222-2-2-2-22112-12-1-112-2-1-2-222-2-2-111-1-1111122-22-2-1-111-1-11-111-1-1110000-112-22-2-1-111-1-1110000−33−3300000000000000−33−330000000000−33−330000
χ492-2-222-2-122-1-2-222-2-2-2-22112-12-1-112-2-1-2-222-2-2-111-1-111112-22-2211-1-1-1-11-111-1-11100001-1-22-2211-1-111-1-100003−33−3000000000000003−33−30000000000−33−330000
χ502-2-222-2-122-1-2-222-2-2-2-22112-12-1-112-2-1-2-222-2-2-111-1-111112-22-2211-1-1-1-11-111-1-11100001-1-22-2211-1-111-1-10000−33−3300000000000000−33−3300000000003−33−30000
χ512-2-22-222222-2-2-2-222-2-22-2-22222-22-222-2-2-2-2222-2-2-2-222-2-222-2-2222-2-22-222-2-2-2-2220000-222-2-2222-2-2-2-22200000000000000000000000000000000000000000000
χ522-2-22-222222-2-2-2-222-2-22-2-22222-22-222-2-2-2-2222-2-2-2-222-2-22-222-2-2-2222-222-2-2-2-22200002-2-222-2-2-22222-2-200000000000000000000000000000000000000000000
χ532-2-22-2222-121111-1-1-2-2-1-2-222-1-1-22-2221111-1-1-11111-1-1-2-2-12-2-2222-2-2-1-22-11111-1-10000-22-111-1-1-11111-1-1−i3i3i3−i300000000−i3−i3i3i3i3i3−i3−i3000000000000−i3i3i3−i300000000
χ542-2-22-2222-121111-1-1-2-2-1-2-222-1-1-22-2221111-1-1-11111-1-1-2-2-12-2-2222-2-2-1-22-11111-1-10000-22-111-1-1-11111-1-1i3−i3−i3i300000000i3i3−i3−i3−i3−i3i3i3000000000000i3−i3−i3i300000000
χ552-2-22-2222-121111-1-1-2-2-1-2-222-1-1-22-2221111-1-1-11111-1-1-2-2-1-222-2-2-222-1-22-11111-1-100002-21-1-1111-1-1-1-111−i3i3i3−i300000000−i3−i3i3i3i3i3−i3−i3000000000000i3−i3−i3i300000000
χ562-2-22-2222-121111-1-1-2-2-1-2-222-1-1-22-2221111-1-1-11111-1-1-2-2-1-222-2-2-222-1-22-11111-1-100002-21-1-1111-1-1-1-111i3−i3−i3i300000000i3i3−i3−i3−i3−i3i3i3000000000000−i3i3i3−i300000000
χ572-2-22-22-122-1-2-2-2-222-2-22112-12-11-1-22-1-2-2-2-222-11111-1-11122-2-22-1-111-11-1-11111-1-100001-12-2-22-1-11111-1-100003−3−33000000000000003−3−3300000000003−3−330000
χ582-2-22-22-122-1-2-2-2-222-2-22112-12-11-1-22-1-2-2-2-222-11111-1-11122-2-22-1-111-11-1-11111-1-100001-12-2-22-1-11111-1-10000−333−300000000000000−333−30000000000−333−30000
χ592-2-22-22-122-1-2-2-2-222-2-22112-12-11-1-22-1-2-2-2-222-11111-1-1112-222-211-1-1-11-1-11111-1-10000-11-222-211-1-1-1-11100003−3−33000000000000003−3−330000000000−333−30000
χ602-2-22-22-122-1-2-2-2-222-2-22112-12-11-1-22-1-2-2-2-222-11111-1-1112-222-211-1-1-11-1-11111-1-10000-11-222-211-1-1-1-1110000−333−300000000000000−333−300000000003−3−330000
χ614444444-2-24-2-2-2-2-2-2-2-2-244-2-21-244-2-2-2111111-2-2-2-2-2-2-2-2-21000000001-2-21111111004400000000000000-2-2-2-20000-2-2-2-211111111000000000000000000000000
χ624444444-2-24-2-2-2-2-2-2-2-2-244-2-21-244-2-2-2111111-2-2-2-2-2-2-2-2-21000000001-2-2111111100-4-400000000000000222200002222-1-1-1-1-1-1-1-1000000000000000000000000
χ63444444-24-2-2-2-2-2-2-2-244-2-2-24-2-21-2-244-2-2-2-2-2-2-21111111-2-2-24444-2-2-2-21-2-211111110000-2-2-2-2-2-21111111100000000000000000000000000000000000000000000
χ64444444-24-2-2-2-2-2-2-2-244-2-2-24-2-21-2-244-2-2-2-2-2-2-21111111-2-2-2-4-4-4-422221-2-211111110000222222-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000
χ65444444-2-24-2444444-2-24-2-2-21-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-2-211-20000000011111111114400000000000000000000-2-2-2-2000000000000-2-21111000000000000000000
χ66444444-2-24-2444444-2-24-2-2-21-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-2-211-2000000001111111111-4-400000000000000000000222200000000000022-1-1-1-1000000000000000000
χ674444-4-44-2-24-2-22222-2-2-244-2-21-2-4-422-211-1-1-1-1-2-2-22222-2-2100000000122111-1-1-1-1004-400000000000000-2-2220000-2-2221111-1-1-1-1000000000000000000000000
χ684444-4-44-2-24-2-22222-2-2-244-2-21-2-4-422-211-1-1-1-1-2-2-22222-2-2100000000122111-1-1-1-100-440000000000000022-2-2000022-2-2-1-1-1-11111000000000000000000000000
χ694444-4-4-24-2-2-2-2222244-2-2-24-2-2122-4-4-2-2-22222111-1-1-1-1-2-2-244-4-4-2-2-2-2122111-1-1-1-1000022-2-2221111-1-1-1-100000000000000000000000000000000000000000000
χ704444-4-4-24-2-2-2-2222244-2-2-24-2-2122-4-4-2-2-22222111-1-1-1-1-2-2-2-4-4442222122111-1-1-1-10000-2-222-2-2-1-1-1-1111100000000000000000000000000000000000000000000
χ714444-4-4-2-24-244-4-4-4-4-2-24-2-2-21-2-222221-2-22222-2-2-2222211-2000000001-1-1111-1-1-1-14-400000000000000000000-2-222000000000000-2211-1-1000000000000000000
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χ1134-4-44-44-24-2-22222-2-2-4-4-2224-2-212-2-44-22222-2-21-1-1-1-11122-24-4-44-2-22212-21-1-1-1-11100002-2-222-211-1-1-1-11100000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).