Finite Group Databasebeta

← Group #13172334

Character table — Group #13172334

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222222222444444444444444444444444666666668888888888121212121212121212121212121212121212121212121212121212121212121212121212121224242424242436363636363636363636363636367272108108
order1222223336666666666666333666666666666666666666222266663666666666224466666666666666666666666666666612121212121212121212244444121212121212121261224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-111-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-1-1-1-1-11111-1-111
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
χ91111-1-1111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-111111-1-1111-1-1-1-11-11-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11-111-1-111-11-1-111-1-111-1-11-1-11
χ101111-1-1111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-111111-1-1111-1-1-1-11-1-11-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-11-1-111-1-111-11-1-11111-1-1-111-1
χ111111-1-1111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-111111-1-1111-1-1-1-1-111-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-11-111-1-1-11-1-11111-1-1-1-111-111-1
χ121111-1-1111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-111111-1-1111-1-1-1-1-11-11-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111-11-1-1111-11-11-1-1-111-1-1111-1-11
χ131111-1-1111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-1111-1-1-1-11-11-111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-11-111-1-11-11-11-1-1-111-1-1111-11-1
χ141111-1-1111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-1111-1-1-1-11-1-1111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-11-1-111-11-1-11111-1-1-1-111-11-11
χ151111-1-1111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-1111-1-1-1-1-111-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-11-111-1-1-1-111-11-1-11111-1-1-11-11
χ161111-1-1111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-1111-1-1-1-1-11-1111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-11-1-11111-11-1-111-1-111-1-11-11-1
χ1722222222-12222222-1-1-1222-12-122-1-1-1222-1-1-12222-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-122220000002222-1-1-1-100000000-1-1-1-1-1-1-1-12222-1-1-1-1-1-120000200000000-1-100
χ1822222222-12222222-1-1-1222-12-122-1-1-1222-1-1-12222-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-122-2-20000002222-1-1-1-100000000-1-1-1-1-1-1-1-1-2-2-2-2111111-20000-2000000001100
χ1922222222-12222222-1-1-1222-12-122-1-1-1222-1-1-12222-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-2-222000000-2-2-2-2111100000000111111112222-1-1-1-1-1-1-20000-2000000001100
χ2022222222-12222222-1-1-1222-12-122-1-1-1222-1-1-12222-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000-2-2-2-211110000000011111111-2-2-2-211111120000200000000-1-100
χ212222222-122-1-1-1-1-1-122222-12-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-122-1-1-1-1-1-1-1220022-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000002200000-1-1-1-10000
χ222222222-122-1-1-1-1-1-122222-12-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-122-1-1-1-1-1-1-1-2-20022-1-1-1-11111-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000-2-20000011110000
χ232222222-122-1-1-1-1-1-122222-12-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-12200-2-21111-1-1-1-1222211111111-1-1-1-1-1-1-1-10000000000000-2-20000011110000
χ242222222-122-1-1-1-1-1-122222-12-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-1-2-200-2-211111111-2-2-2-2111111111111111100000000000002200000-1-1-1-10000
χ25222222-122-1222222222-1-12-1-12-1-122-1-1-1-1222-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10022-1-1222200000000-1-1-1-1-1-1-1-100000000-1-1-1-122-1-1-1-1022000-1-1-1-100000000
χ26222222-122-1222222222-1-12-1-12-1-122-1-1-1-1222-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-1-1222200000000-1-1-1-1-1-1-1-1000000001111-2-211110-2-2000111100000000
χ27222222-122-1222222222-1-12-1-12-1-122-1-1-1-1222-1-1-1-12222-1-1-2-2-2-21111-1-1-1-1-1-1-1-1-1-1002211-2-2-2-2000000001111111100000000-1-1-1-122-1-1-1-10-2-2000111100000000
χ28222222-122-1222222222-1-12-1-12-1-122-1-1-1-1222-1-1-1-12222-1-1-2-2-2-21111-1-1-1-1-1-1-1-1-1-100-2-211-2-2-2-20000000011111111000000001111-2-21111022000-1-1-1-100000000
χ292222-2-222-1222-2-2-2-2-1-1-1222-12-1-2-211-1222-1-1-1-2-2-2-21111-1-100000000-111-1-1-111112-22-200000022-2-2-1-11100000000-1-1-1-1111122-2-2-11-1-11120000-200000000-1100
χ302222-2-222-1222-2-2-2-2-1-1-1222-12-1-2-211-1222-1-1-1-2-2-2-21111-1-100000000-111-1-1-111112-2-2200000022-2-2-1-11100000000-1-1-1-11111-2-2221-111-1-1-200002000000001-100
χ312222-2-222-1222-2-2-2-2-1-1-1222-12-1-2-211-1222-1-1-1-2-2-2-21111-1-100000000-111-1-1-11111-222-2000000-2-22211-1-1000000001111-1-1-1-122-2-2-11-1-111-200002000000001-100
χ322222-2-222-1222-2-2-2-2-1-1-1222-12-1-2-211-1222-1-1-1-2-2-2-21111-1-100000000-111-1-1-11111-22-22000000-2-22211-1-1000000001111-1-1-1-1-2-2221-111-1-120000-200000000-1100
χ332222-2-22-122-1-1111122222-12-1-1-2-2-2-22-1-1-1-1-1-1111111112222-2-22222-1-2-2-1-1-111112-200-2-2-1-111-1-11122-2-2-1-1-1-11111-1-1-1-1111100000000000002-200000-1-1110000
χ342222-2-22-122-1-1111122222-12-1-1-2-2-2-22-1-1-1-1-1-1111111112222-2-22222-1-2-2-1-1-11111-2200-2-2-1-11111-1-1-2-222-1-1-1-111111111-1-1-1-10000000000000-220000011-1-10000
χ352222-2-22-122-1-1111122222-12-1-1-2-2-2-22-1-1-1-1-1-11111111122-2-222-2-2-2-2-1-2-2-1-1-111112-2002211-1-1-1-11122-2-21111-1-1-1-1-1-1-1-111110000000000000-220000011-1-10000
χ362222-2-22-122-1-1111122222-12-1-1-2-2-2-22-1-1-1-1-1-11111111122-2-222-2-2-2-2-1-2-2-1-1-11111-22002211-1-111-1-1-2-2221111-1-1-1-11111-1-1-1-100000000000002-200000-1-1110000
χ372222-2-2-122-122-2-2-2-2222-1-12-1-1211-2-2-1-1-1-12221111-2-2-2-2-1-122-2-2-1-1-1-1-111-1-1-11111002-21122-2-200000000-1-1-1-1111100000000-1-1112-2-1-11102-2000-1-11100000000
χ382222-2-2-122-122-2-2-2-2222-1-12-1-1211-2-2-1-1-1-12221111-2-2-2-2-1-122-2-2-1-1-1-1-111-1-1-1111100-221122-2-200000000-1-1-1-111110000000011-1-1-2211-1-10-2200011-1-100000000
χ392222-2-2-122-122-2-2-2-2222-1-12-1-1211-2-2-1-1-1-12221111-2-2-2-2-1-1-2-2221111-111-1-1-11111002-2-1-1-2-222000000001111-1-1-1-100000000-1-1112-2-1-1110-2200011-1-100000000
χ402222-2-2-122-122-2-2-2-2222-1-12-1-1211-2-2-1-1-1-12221111-2-2-2-2-1-1-2-2221111-111-1-1-1111100-22-1-1-2-222000000001111-1-1-1-10000000011-1-1-2211-1-102-2000-1-11100000000
χ412-2-222-22222-2-222-2-2-2-22-2-222222-22-222-2-22-2-222-2-222-2-2-2-22-22-222-2-222-22-2-222-2-200002-22-22-20000000022-2-222-2-2000000000000000000000000000000000000
χ422-2-222-22222-2-222-2-2-2-22-2-222222-22-222-2-22-2-222-2-222-2-2-2-2-22-22-2-22222-22-2-222-2-20000-22-22-2200000000-2-222-2-222000000000000000000000000000000000000
χ432-2-222-22-12211-1-111-2-22-2-2-12-1-12-22-22-111-111-1-111-1-111-2-22-22-222-2-2-12-2-111-1-11100002-2-11-11−i3i3−i3i30000-1-111-1-111−i3−i3i3i3−i3−i3i3i300000000000000000000−i3i3−i3i30000
χ442-2-222-22-12211-1-111-2-22-2-2-12-1-12-22-22-111-111-1-111-1-111-2-22-22-222-2-2-12-2-111-1-11100002-2-11-11i3−i3i3−i30000-1-111-1-111i3i3−i3−i3i3i3−i3−i300000000000000000000i3−i3i3−i30000
χ452-2-222-22-12211-1-111-2-22-2-2-12-1-12-22-22-111-111-1-111-1-111-2-2-22-22-2-222-12-2-111-1-1110000-221-11-1−i3i3−i3i3000011-1-111-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000i3−i3i3−i30000
χ462-2-222-22-12211-1-111-2-22-2-2-12-1-12-22-22-111-111-1-111-1-111-2-2-22-22-2-222-12-2-111-1-1110000-221-11-1i3−i3i3−i3000011-1-111-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000−i3i3−i3i30000
χ472-2-222-2-122-1-2-222-2-2-2-22112-1-12-112-2-1-1112-2-2-1-11122-2-2112-22-2-1-111-1-11-111-1-1110000-112-22-200000000-1-111-1-111000000003−33−3003−33−30000003−33−300000000
χ482-2-222-2-122-1-2-222-2-2-2-22112-1-12-112-2-1-1112-2-2-1-11122-2-2112-22-2-1-111-1-11-111-1-1110000-112-22-200000000-1-111-1-11100000000−33−3300−33−33000000−33−3300000000
χ492-2-222-2-122-1-2-222-2-2-2-22112-1-12-112-2-1-1112-2-2-1-11122-2-211-22-2211-1-1-1-11-111-1-11100001-1-22-220000000011-1-111-1-1000000003−33−3003−33−3000000−33−3300000000
χ502-2-222-2-122-1-2-222-2-2-2-22112-1-12-112-2-1-1112-2-2-1-11122-2-211-22-2211-1-1-1-11-111-1-11100001-1-22-220000000011-1-111-1-100000000−33−3300−33−330000003−33−300000000
χ512-2-22-222222-2-2-2-222-2-22-2-22222-22-2222-2-22-2-2-2-222-2-222-2-22-2-2222-2-22-222-2-2-2-2220000-222-2-220000000022-2-2-2-222000000000000000000000000000000000000
χ522-2-22-222222-2-2-2-222-2-22-2-22222-22-2222-2-22-2-2-2-222-2-222-2-2-222-2-2-2222-222-2-2-2-22200002-2-222-200000000-2-22222-2-2000000000000000000000000000000000000
χ532-2-22-222-1221111-1-1-2-22-2-2-12-1-1-22-222-111-11111-1-111-1-1-2-22-2-2222-2-2-1-22-11111-1-10000-22-111-1−i3i3i3−i30000-1-11111-1-1−i3−i3i3i3i3i3−i3−i300000000000000000000−i3i3i3−i30000
χ542-2-22-222-1221111-1-1-2-22-2-2-12-1-1-22-222-111-11111-1-111-1-1-2-22-2-2222-2-2-1-22-11111-1-10000-22-111-1i3−i3−i3i30000-1-11111-1-1i3i3−i3−i3−i3−i3i3i300000000000000000000i3−i3−i3i30000
χ552-2-22-222-1221111-1-1-2-22-2-2-12-1-1-22-222-111-11111-1-111-1-1-2-2-222-2-2-222-1-22-11111-1-100002-21-1-11−i3i3i3−i3000011-1-1-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000i3−i3−i3i30000
χ562-2-22-222-1221111-1-1-2-22-2-2-12-1-1-22-222-111-11111-1-111-1-1-2-2-222-2-2-222-1-22-11111-1-100002-21-1-11i3−i3−i3i3000011-1-1-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000−i3i3i3−i30000
χ572-2-22-22-122-1-2-2-2-222-2-22112-1-121-1-22-1-1112-2-211-1-1-2-222112-2-22-1-111-11-1-11111-1-100001-12-2-2200000000-1-11111-1-1000000003−3−33003−3−330000003−3−3300000000
χ582-2-22-22-122-1-2-2-2-222-2-22112-1-121-1-22-1-1112-2-211-1-1-2-222112-2-22-1-111-11-1-11111-1-100001-12-2-2200000000-1-11111-1-100000000−333−300−333−3000000−333−300000000
χ592-2-22-22-122-1-2-2-2-222-2-22112-1-121-1-22-1-1112-2-211-1-1-2-22211-222-211-1-1-11-1-11111-1-10000-11-222-20000000011-1-1-1-111000000003−3−33003−3−33000000−333−300000000
χ602-2-22-22-122-1-2-2-2-222-2-22112-1-121-1-22-1-1112-2-211-1-1-2-22211-222-211-1-1-11-1-11111-1-10000-11-222-20000000011-1-1-1-11100000000−333−300−333−30000003−3−3300000000
χ614444444-2-24-2-2-2-2-2-2-2-2-244-2-2-2144-2-2-2-2-2-2111-2-2-2-21111-2-2000000001-2-211111114400000000-2-2-2-2-2-2-2-200000000111111110000000000000000000000000000
χ624444444-2-24-2-2-2-2-2-2-2-2-244-2-2-2144-2-2-2-2-2-2111-2-2-2-21111-2-2000000001-2-21111111-4-4000000002222222200000000-1-1-1-1-1-1-1-10000000000000000000000000000
χ63444444-24-2-2444444-2-2-2-2-241-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2-2110000000011111111110044000000000000000000000000000000-2-2-2-2-2-21111000000000000000000
χ64444444-24-2-2444444-2-2-2-2-241-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2-21100000000111111111100-4-4000000000000000000000000000000222222-1-1-1-1000000000000000000
χ65444444-2-24-2-2-2-2-2-2-2444-2-2-2-21-2-2-244-2111-2-2-21111-2-2-2-2-2-24444-2-2-2-21-2-211111110000-2-2-2-2-2-20000000011111111000000000000000000000000000000000000
χ66444444-2-24-2-2-2-2-2-2-2444-2-2-2-21-2-2-244-2111-2-2-21111-2-2-2-2-2-2-4-4-4-422221-2-21111111000022222200000000-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ674444-4-44-2-24-2-22222-2-2-244-2-2-21-4-422-2-2-2-21112222-1-1-1-1-2-200000000122111-1-1-1-14-400000000-2-222-2-222000000001111-1-1-1-10000000000000000000000000000
χ684444-4-44-2-24-2-22222-2-2-244-2-2-21-4-422-2-2-2-21112222-1-1-1-1-2-200000000122111-1-1-1-1-440000000022-2-222-2-200000000-1-1-1-111110000000000000000000000000000
χ694444-4-4-24-2-244-4-4-4-4-2-2-2-2-241-2-222221-2-2-2-2-2-22222222211000000001-1-1111-1-1-1-1004-4000000000000000000000000000000-2-222-2211-1-1000000000000000000
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χ714444-4-4-2-24-2-2-22222444-2-2-2-21-222-4-4-2111-2-2-2-1-1-1-12222-2-244-4-4-2-2-2-2122111-1-1-1-1000022-2-222000000001111-1-1-1-1000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).