Finite Group Databasebeta

← Group #13172364

Character table — Group #13172364

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222222222444444444444444444444444666666668888888888121212121212121212121212121212121212121212121212121212121212121212121212121224242424242436363636363636363636363636367272108108
order1222223336666666666666333666666666666666666666444412121212366666666624446612121212121212121212121212121212121212121212121212121212121212126661212122244446612121212121261224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-11-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-111-1-1-11111111111-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111111111-11-1-1-11-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-11-11111-1-1-1-1-1-111
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
χ91111-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-111111-1-1111-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111-1-1-1-111-11-1-1-11111-1-11-11-1
χ101111-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-111111-1-1111-1-1-1-11-11-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1111-1-111-1-111-11-11
χ111111-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-111111-1-1111-1-1-1-1-11-11-1-111-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-11111-11-1-1111-1-111-1-1-11-11
χ121111-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-111111-1-1111-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-111111-11-1-111-1-1-1-1111-11-1
χ131111-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-11-1-1111-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1111-1-1-111-11-1-111-1-1-1-1111-1-11
χ141111-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-11-1-1111-1-1-1-11-11-111-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-1-11-11-1-1111-1-111-1-1-111-1
χ151111-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-11-1-1111-1-1-1-1-11-11-1-1-1-11111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1111-1-1-1111-1-111-1-111-111-1
χ161111-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-11-1-1111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1111-111-11-1-1-11111-1-11-1-11
χ1722222222-12222222-12-1-1222-1-122-1-122-1-12222-1-1-1-1-1-1-12-100000000-1-1-1-1-1-1-1-1-1-12222220000-1-1-1-10022222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-102000200000000-1-100
χ1822222222-12222222-12-1-1222-1-122-1-122-1-12222-1-1-1-1-1-1-12-100000000-1-1-1-1-1-1-1-1-1-12-2-2222000011110022-2-2-2-20000000011111111-1-1-1-1-1-10-2000-2000000001100
χ1922222222-12222222-12-1-1222-1-122-1-122-1-12222-1-1-1-1-1-1-12-100000000-1-1-1-1-1-1-1-1-1-1-222-2-2-20000-1-1-1-100-2-2222200000000-1-1-1-1-1-1-1-11111110-2000-2000000001100
χ2022222222-12222222-12-1-1222-1-122-1-122-1-12222-1-1-1-1-1-1-12-100000000-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-20000111100-2-2-2-2-2-2000000001111111111111102000200000000-1-100
χ212222222-1222222-1-12222-12-12-1-1-122-1-122-1-1-1-12222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-12002-1-122220000-1-1-1-10000-1-1-1-1-1-1-1-1000000002-1-12-1-1200020-1-1-1-100000000
χ222222222-1222222-1-12222-12-12-1-1-122-1-122-1-1-1-12222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-200-21122220000-1-1110000-1-1-1-1-1-1-1-100000000-211-211-2000-20111100000000
χ232222222-1222222-1-12222-12-12-1-1-122-1-122-1-1-1-12222-1-1-1-12-2-2-2-21111-1-1-1-1-1-1-1-1-1-12002-1-1-2-2-2-2000011-1-1000011111111000000002-1-12-1-1-2000-20111100000000
χ242222222-1222222-1-12222-12-12-1-1-122-1-122-1-1-1-12222-1-1-1-12-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-200-211-2-2-2-20000111100001111111100000000-211-211200020-1-1-1-100000000
χ25222222-122-1-1-1-1-1222-1222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-122222222-122-1-1-1-1-1-1-1022000-1-1-1-122222200-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022000000-1-1-1-10000
χ26222222-122-1-1-1-1-1222-1222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-122222222-122-1-1-1-1-1-1-10-2-2000-1-1-1-1-2-2-2-222001111-1-1-1-1-1-1-1-11111111100000000-2-200000011110000
χ27222222-122-1-1-1-1-1222-1222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-102200011112222-2-200-1-1-1-111111111-1-1-1-1-1-1-1-100000000-2-200000011110000
χ28222222-122-1-1-1-1-1222-1222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-10-2-20001111-2-2-2-2-2-200111111111111111111110000000022000000-1-1-1-10000
χ292222-2-222-12-2-2-2-222-12-1-1222-1-1-2-21122-1-1-2-2-2-21111-1-1-12-100000000-111-1-1-1111122-2-2220000-1-11100-2-222-2-200000000-1-1-1-11111-1-1-111102000-200000000-1100
χ302222-2-222-12-2-2-2-222-12-1-1222-1-1-2-21122-1-1-2-2-2-21111-1-1-12-100000000-111-1-1-111112-22-222000011-1-100-2-2-2-222000000001111-1-1-1-1-1-1-11110-20002000000001-100
χ312222-2-222-12-2-2-2-222-12-1-1222-1-1-2-21122-1-1-2-2-2-21111-1-1-12-100000000-111-1-1-11111-22-22-2-20000-1-111002222-2-200000000-1-1-1-11111111-1-1-10-20002000000001-100
χ322222-2-222-12-2-2-2-222-12-1-1222-1-1-2-21122-1-1-2-2-2-21111-1-1-12-100000000-111-1-1-11111-2-222-2-2000011-1-10022-2-222000000001111-1-1-1-1111-1-1-102000-200000000-1100
χ332222-2-22-122-2-2-2-2-1-12222-12-12-111-2-2-1-1221111-2-2-2-2-1-1-1-1222-2-2-1-1-1-1-111-1-1-11111200-2-1-122-2-2000011110000-1-1-1-11111000000002-1-1-211-20002011-1-100000000
χ342222-2-22-122-2-2-2-2-1-12222-12-12-111-2-2-1-1221111-2-2-2-2-1-1-1-1222-2-2-1-1-1-1-111-1-1-11111-20021122-2-2000011-1-10000-1-1-1-1111100000000-2112-1-12000-20-1-11100000000
χ352222-2-22-122-2-2-2-2-1-12222-12-12-111-2-2-1-1221111-2-2-2-2-1-1-1-12-2-2221111-111-1-1-11111200-2-1-1-2-2220000-1-11100001111-1-1-1-1000000002-1-1-2112000-20-1-11100000000
χ362222-2-22-122-2-2-2-2-1-12222-12-12-111-2-2-1-1221111-2-2-2-2-1-1-1-12-2-2221111-111-1-1-11111-200211-2-2220000-1-1-1-100001111-1-1-1-100000000-2112-1-1-20002011-1-100000000
χ372222-2-2-122-11111222-1222-1-1-12-2-2-2-2-1-1-1-111111111222-1-122-2-22222-1-2-2-1-1-1111102-2000-1-11122-2-2-2-200-1-111-1-1-1-11111-1-1-1-11111000000002-2000000-1-1110000
χ382222-2-2-122-11111222-1222-1-1-12-2-2-2-2-1-1-1-111111111222-1-122-2-22222-1-2-2-1-1-111110-22000-1-111-2-222-2-20011-1-1-1-1-1-111111111-1-1-1-100000000-2200000011-1-10000
χ392222-2-2-122-11111222-1222-1-1-12-2-2-2-2-1-1-1-111111111222-1-1-2-222-2-2-2-2-1-2-2-1-1-1111102-200011-1-122-2-22200-1-1111111-1-1-1-1-1-1-1-1111100000000-2200000011-1-10000
χ402222-2-2-122-11111222-1222-1-1-12-2-2-2-2-1-1-1-111111111222-1-1-2-222-2-2-2-2-1-2-2-1-1-111110-2200011-1-1-2-222220011-1-11111-1-1-1-11111-1-1-1-1000000002-2000000-1-1110000
χ412-2-222-2222-222-2-2-2-2-22-222-22222-22-2-2-22-222-2-222-2-2-2-222-22-22-222-2-222-22-2-222-2-20000002-22-200002-200000022-2-222-2-200000000000000000000000000000000
χ422-2-222-2222-222-2-2-2-2-22-222-22222-22-2-2-22-222-2-222-2-2-2-222-2-22-22-2-22222-22-2-222-2-2000000-22-220000-22000000-2-222-2-22200000000000000000000000000000000
χ432-2-222-22-12-222-2-211-22-22-1-2-12-1-112-2112-2-1-11122-2-211-1-1-22-22-2-1-111-1-11-111-1-1110000−i3i32-22-20000-11−i3i30000-1-111-1-111000000000−i3i30−i3i3000000−i3i3−i3i300000000
χ442-2-222-22-12-222-2-211-22-22-1-2-12-1-112-2112-2-1-11122-2-211-1-1-22-22-2-1-111-1-11-111-1-1110000i3−i32-22-20000-11i3−i30000-1-111-1-111000000000i3−i30i3−i3000000i3−i3i3−i300000000
χ452-2-222-22-12-222-2-211-22-22-1-2-12-1-112-2112-2-1-11122-2-211-1-1-2-22-2211-1-1-1-11-111-1-1110000−i3i3-22-2200001-1−i3i3000011-1-111-1-1000000000−i3i30−i3i3000000i3−i3i3−i300000000
χ462-2-222-22-12-222-2-211-22-22-1-2-12-1-112-2112-2-1-11122-2-211-1-1-2-22-2211-1-1-1-11-111-1-1110000i3−i3-22-2200001-1i3−i3000011-1-111-1-1000000000i3−i30i3−i3000000−i3i3−i3i300000000
χ472-2-222-2-1221-1-111-2-2-2-1-2221-1-122-22-211-11-1-111-1-111-2-22-112-22-222-2-2-12-2-111-1-111000000-11-1100002-2003−33−3-1-111-1-11133−3−333−3−300000000000000003−33−30000
χ482-2-222-2-1221-1-111-2-2-2-1-2221-1-122-22-211-11-1-111-1-111-2-22-112-22-222-2-2-12-2-111-1-111000000-11-1100002-200−33−33-1-111-1-111−3−333−3−3330000000000000000−33−330000
χ492-2-222-2-1221-1-111-2-2-2-1-2221-1-122-22-211-11-1-111-1-111-2-22-11-22-22-2-222-12-2-111-1-1110000001-11-10000-22003−33−311-1-111-1-133−3−333−3−30000000000000000−33−330000
χ502-2-222-2-1221-1-111-2-2-2-1-2221-1-122-22-211-11-1-111-1-111-2-22-11-22-22-2-222-12-2-111-1-1110000001-11-10000-2200−33−3311-1-111-1-1−3−333−3−33300000000000000003−33−30000
χ512-2-22-22222-2-2-222-2-2-22-222-2222-22-22-2-22-2-2-222-2-222-2-222-22-2-2222-2-22-222-2-2-2-2220000002-2-220000-2200000022-2-2-2-22200000000000000000000000000000000
χ522-2-22-22222-2-2-222-2-2-22-222-2222-22-22-2-22-2-2-222-2-222-2-222-2-222-2-2-2222-222-2-2-2-222000000-222-200002-2000000-2-22222-2-200000000000000000000000000000000
χ532-2-22-222-12-2-2-22211-22-22-1-2-12-11-1-22112-211-1-1-2-22211-1-1-22-2-22-1-111-11-1-11111-1-10000−i3i32-2-2200001-1i3−i30000-1-11111-1-1000000000−i3i30i3−i3000000i3−i3−i3i300000000
χ542-2-22-222-12-2-2-22211-22-22-1-2-12-11-1-22112-211-1-1-2-22211-1-1-22-2-22-1-111-11-1-11111-1-10000i3−i32-2-2200001-1−i3i30000-1-11111-1-1000000000i3−i30−i3i3000000−i3i3i3−i300000000
χ552-2-22-222-12-2-2-22211-22-22-1-2-12-11-1-22112-211-1-1-2-22211-1-1-2-222-211-1-1-11-1-11111-1-10000−i3i3-222-20000-11i3−i3000011-1-1-1-111000000000−i3i30i3−i3000000−i3i3i3−i300000000
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χ572-2-22-22-122111-1-1-2-2-2-1-2221-1-12-22-2211-1111-1-111-1-1-2-22-112-2-2222-2-2-1-22-11111-1-1000000-111-10000-22003−3−33-1-11111-1-133−3−3−3−33300000000000000003−3−330000
χ582-2-22-22-122111-1-1-2-2-2-1-2221-1-12-22-2211-1111-1-111-1-1-2-22-112-2-2222-2-2-1-22-11111-1-1000000-111-10000-2200−333−3-1-11111-1-1−3−33333−3−30000000000000000−333−30000
χ592-2-22-22-122111-1-1-2-2-2-1-2221-1-12-22-2211-1111-1-111-1-1-2-22-11-222-2-2-222-1-22-11111-1-10000001-1-1100002-2003−3−3311-1-1-1-11133−3−3−3−3330000000000000000−333−30000
χ602-2-22-22-122111-1-1-2-2-2-1-2221-1-12-22-2211-1111-1-111-1-1-2-22-11-222-2-2-222-1-22-11111-1-10000001-1-1100002-200−333−311-1-1-1-111−3−33333−3−300000000000000003−3−330000
χ614444444-2-244444-2-2-24-2-2-24-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111-2-20000000011111111114004-2-20000000000-2-200000000000000000000-211-211000000000000000000
χ624444444-2-244444-2-2-24-2-2-24-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111-2-2000000001111111111-400-422000000000022000000000000000000002-1-12-1-1000000000000000000
χ63444444-24-2-2-2-2-2-244-2-2-2-24-2-21-244-2-2-2-211-2-2-2-21111-2-2-2-21000000001-2-211111110440000000-2-2-2-20000-2-2-2-20000000011111111000000000000000000000000
χ64444444-24-2-2-2-2-2-244-2-2-2-24-2-21-244-2-2-2-211-2-2-2-21111-2-2-2-21000000001-2-211111110-4-4000000022220000222200000000-1-1-1-1-1-1-1-1000000000000000000000000
χ65444444-2-24-2-2-2-2-2-2-24-244-2-21-2-2-2-24411-2-21111-2-2-2-2-2-2-21-24444-2-2-2-21-2-21111111000000-2-2-2-20000-2-20000001111111100000000000000000000000000000000
χ66444444-2-24-2-2-2-2-2-2-24-244-2-21-2-2-2-24411-2-21111-2-2-2-2-2-2-21-2-4-4-4-422221-2-211111110000002222000022000000-1-1-1-1-1-1-1-100000000000000000000000000000000
χ674444-4-44-2-24-4-4-4-4-2-2-24-2-2-24-2-212222-2-2-2-222222222111-2-2000000001-1-1111-1-1-1-1400-4-2-200000000002200000000000000000000-2112-1-1000000000000000000
χ684444-4-44-2-24-4-4-4-4-2-2-24-2-2-24-2-212222-2-2-2-222222222111-2-2000000001-1-1111-1-1-1-1-4004220000000000-2-2000000000000000000002-1-1-211000000000000000000
χ694444-4-4-24-2-2222244-2-2-2-24-2-21-2-4-422-2-2112222-1-1-1-1-2-2-2-2100000000122111-1-1-1-104-40000000-2-2220000-2-222000000001111-1-1-1-1000000000000000000000000
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χ117888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-42222222222222222200000000-122-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000000000
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χ12188-8-800-4-4-4-44i3−4i34i3−4i3-44-44444422200002-2-22−2i32i3−2i32i3−2i32i3−2i32i32-2-2-2-200000000-1001-11i3−i3i3−i300000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).