Finite Group Databasebeta

← Group #13139922

Character table — Group #13139922

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size111111112222222222222222222266666666666666669999999912121212121212121212121212121212121212121212121218181818181818181818181818181818181818181818181818181818181818181818181836363636363636363636363636363636
order12224444223446666666121212121212121233666666121212121212121244444444366666666666121212121212121212121212444488888888888888881212121212121212121212121212121224242424242424242424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111-1-11-1-1-1-1-1-11111111-1-1-1-11111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-11-1-1-1-1-1-11111111-1-1-1-11111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111-1-11-1-1-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ811111111-1-11-1-1-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−iii−i−i−i−iii−i−iii-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii
χ121111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii−i−iiiii−i−iii−i−i-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-111ii−i−i−i−iiiii−i−i−i−iii1111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-111−i−iiiii−i−i−i−iiiii−i−i1111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-111111-1-1-1-1111111-1-1ii−i−i−i−iii−i−iiiii−i−i-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-111111-1-1-1-1111111-1-1−i−iiiii−i−iii−i−i−i−iii-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ1711-1-111-1-11-111-111-1-11-1-111-1-111-1-111-1-1-1-11111-1-111-1-1ii−i−iii−i−i111-1-1-1-111-1-1111-1-111-1-111-1-1i−ii−i1-11-11-11-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-11-11-11-1i−ii−ii−ii−i
χ1811-1-111-1-11-111-111-1-11-1-111-1-111-1-111-1-1-1-11111-1-111-1-1ii−i−iii−i−i111-1-1-1-111-1-1111-1-111-1-111-1-1i−ii−i-11-11-11-11−ii−ii−ii−iiii−i−iii−i−iii−i−iii−i−i-11-11-11-11−ii−ii−ii−ii
χ1911-1-111-1-11-111-111-1-11-1-111-1-111-1-111-1-1-1-11111-1-111-1-1−i−iii−i−iii111-1-1-1-111-1-1111-1-111-1-111-1-1−ii−ii1-11-11-11-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-11-11-1−ii−ii−ii−ii
χ2011-1-111-1-11-111-111-1-11-1-111-1-111-1-111-1-1-1-11111-1-111-1-1−i−iii−i−iii111-1-1-1-111-1-1111-1-111-1-111-1-1−ii−ii-11-11-11-11i−ii−ii−ii−i−i−iii−i−iii−i−iii−i−iii-11-11-11-11i−ii−ii−ii−i
χ2111-1-111-1-1-111-11-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1ii−i−iii−i−i1-1-111-1-1-1-1111-1-11111-1-1-1-111−ii−ii1-11-1-11-11i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii1-11-1-11-11i−ii−i−ii−ii
χ2211-1-111-1-1-111-11-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1ii−i−iii−i−i1-1-111-1-1-1-1111-1-11111-1-1-1-111−ii−ii-11-111-11-1−ii−iii−ii−iii−i−iii−i−i−i−iii−i−iii-11-111-11-1−ii−iii−ii−i
χ2311-1-111-1-1-111-11-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1−i−iii−i−iii1-1-111-1-1-1-1111-1-11111-1-1-1-111i−ii−i1-11-1-11-11−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i1-11-1-11-11−ii−iii−ii−i
χ2411-1-111-1-1-111-11-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1−i−iii−i−iii1-1-111-1-1-1-1111-1-11111-1-1-1-111i−ii−i-11-111-11-1i−ii−i−ii−ii−i−iii−i−iiiii−i−iii−i−i-11-111-11-1i−ii−i−ii−ii
χ2511-1-1-1-1111-11-1111-1-11-1-1-1-111-1-11111-1-1-1-111-1-111-1-111ii−i−i−i−iii111-1-1-1-111-1-11-1-111-1-111-1-111i−i−iii−i−iii−i−ii-111-1-111-1ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii-111-1-111-1
χ2611-1-1-1-1111-11-1111-1-11-1-1-1-111-1-11111-1-1-1-111-1-111-1-111ii−i−i−i−iii111-1-1-1-111-1-11-1-111-1-111-1-111i−i−ii−iii−i−iii−i1-1-111-1-11ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i1-1-111-1-11
χ2711-1-1-1-1111-11-1111-1-11-1-1-1-111-1-11111-1-1-1-111-1-111-1-111−i−iiiii−i−i111-1-1-1-111-1-11-1-111-1-111-1-111−iii−ii−i−iii−i−ii1-1-111-1-11−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii1-1-111-1-11
χ2811-1-1-1-1111-11-1111-1-11-1-1-1-111-1-11111-1-1-1-111-1-111-1-111−i−iiiii−i−i111-1-1-1-111-1-11-1-111-1-111-1-111−iii−i−iii−i−iii−i-111-1-111-1−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i-111-1-111-1
χ2911-1-1-1-111-1111-1-1-1111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111ii−i−i−i−iii1-1-111-1-1-1-111111-1-1-1-11111-1-1−iii−ii−i−ii−iii−i-111-11-1-11ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i-111-11-1-11
χ3011-1-1-1-111-1111-1-1-1111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111ii−i−i−i−iii1-1-111-1-1-1-111111-1-1-1-11111-1-1−iii−i−iii−ii−i−ii1-1-11-111-1ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii1-1-11-111-1
χ3111-1-1-1-111-1111-1-1-1111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111−i−iiiii−i−i1-1-111-1-1-1-111111-1-1-1-11111-1-1i−i−iii−i−ii−iii−i1-1-11-111-1−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i1-1-11-111-1
χ3211-1-1-1-111-1111-1-1-1111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111−i−iiiii−i−i1-1-111-1-1-1-111111-1-1-1-11111-1-1i−i−ii−iii−ii−i−ii-111-11-1-11−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii-111-11-1-11
χ3322222222222222222222222222222-122-1-12-122-1-1-1-12200000000-12-12-1-1-1-1-1-1-1-12-12-1-1-1-1-1-1-1-1-1000022222222000000000000000000000000-1-1-1-1-1-1-1-100000000
χ3422222222222222222222222222222-122-1-12-122-1-1-1-12200000000-12-12-1-1-1-1-1-1-1-12-12-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-20000000000000000000000001111111100000000
χ352222222222222222222222222222-12-1-122-12-1-12222-1-100000000-1-12-12-1-1-1-1-1-1-1-12-12-1-1-1-1-1-1-1-100000000000022222222000000000000000000000000-1-1-1-1-1-1-1-1
χ362222222222222222222222222222-12-1-122-12-1-12222-1-100000000-1-12-12-1-1-1-1-1-1-1-12-12-1-1-1-1-1-1-1-1000000000000-2-2-2-2-2-2-2-200000000000000000000000011111111
χ3722222222-2-22-2-2-2-2-2-22222222-2-2-2-22-122-1-12-122-1-1-1-12200000000-1-21-21-1-11111-1-21-21-1-1-1-1111100002222-2-2-2-2000000000000000000000000-1-1-1-1111100000000
χ3822222222-2-22-2-2-2-2-2-22222222-2-2-2-22-122-1-12-122-1-1-1-12200000000-1-21-21-1-11111-1-21-21-1-1-1-111110000-2-2-2-222220000000000000000000000001111-1-1-1-100000000
χ3922222222-2-22-2-2-2-2-2-22222222-2-2-2-2-12-1-122-12-1-12222-1-100000000-11-21-2-1-11111-11-21-2-1-1-1-111110000000000002222-2-2-2-2000000000000000000000000-1-1-1-11111
χ4022222222-2-22-2-2-2-2-2-22222222-2-2-2-2-12-1-122-12-1-12222-1-100000000-11-21-2-1-11111-11-21-2-1-1-1-11111000000000000-2-2-2-222220000000000000000000000001111-1-1-1-1
χ412222-2-2-2-2222-2-22222222-2-2-2-2-2-2-2-22-122-1-12-1-2-21111-2-200000000-12-12-1-1-1-1-1-1-1-1-21-211111111100002i2i−2i−2i2i2i−2i−2i000000000000000000000000−i−iii−i−iii00000000
χ422222-2-2-2-2222-2-22222222-2-2-2-2-2-2-2-22-122-1-12-1-2-21111-2-200000000-12-12-1-1-1-1-1-1-1-1-21-21111111110000−2i−2i2i2i−2i−2i2i2i000000000000000000000000ii−i−iii−i−i00000000
χ432222-2-2-2-2222-2-22222222-2-2-2-2-2-2-2-2-12-1-122-1211-2-2-2-21100000000-1-12-12-1-1-1-1-1-1-11-21-2111111110000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000−i−iii−i−iii
χ442222-2-2-2-2222-2-22222222-2-2-2-2-2-2-2-2-12-1-122-1211-2-2-2-21100000000-1-12-12-1-1-1-1-1-1-11-21-211111111000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000ii−i−iii−i−i
χ452222-2-2-2-2-2-2222-2-2-2-2222-2-2-2-222222-122-1-12-1-2-21111-2-200000000-1-21-21-1-11111-12-12-11111-1-1-1-100002i2i−2i−2i−2i−2i2i2i000000000000000000000000−i−iiiii−i−i00000000
χ462222-2-2-2-2-2-2222-2-2-2-2222-2-2-2-222222-122-1-12-1-2-21111-2-200000000-1-21-21-1-11111-12-12-11111-1-1-1-10000−2i−2i2i2i2i2i−2i−2i000000000000000000000000ii−i−i−i−iii00000000
χ472222-2-2-2-2-2-2222-2-2-2-2222-2-2-2-22222-12-1-122-1211-2-2-2-21100000000-11-21-2-1-11111-1-12-121111-1-1-1-10000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000−i−iiiii−i−i
χ482222-2-2-2-2-2-2222-2-2-2-2222-2-2-2-22222-12-1-122-1211-2-2-2-21100000000-11-21-2-1-11111-1-12-121111-1-1-1-1000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000ii−i−i−i−iii
χ4922-2-222-2-22-222-222-2-22-2-222-2-222-2-22-1-2-2112-12211-1-1-2-200000000-12-1-2111-1-111-12-1-21-1-111-1-11100002-22-22-22-2000000000000000000000000-11-11-11-1100000000
χ5022-2-222-2-22-222-222-2-22-2-222-2-222-2-22-1-2-2112-12211-1-1-2-200000000-12-1-2111-1-111-12-1-21-1-111-1-1110000-22-22-22-220000000000000000000000001-11-11-11-100000000
χ5122-2-222-2-22-222-222-2-22-2-222-2-222-2-2-1211-2-2-12-1-1-2-2221100000000-1-121-211-1-111-1-121-2-1-111-1-1110000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000−ii−ii−ii−ii
χ5222-2-222-2-22-222-222-2-22-2-222-2-222-2-2-1211-2-2-12-1-1-2-2221100000000-1-121-211-1-111-1-121-2-1-111-1-111000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000i−ii−ii−ii−i
χ5322-2-222-2-2-222-22-2-2222-2-222-2-2-2-2222-1-2-2112-12211-1-1-2-200000000-1-212-11111-1-1-1-212-1-1-11111-1-100002-22-2-22-22000000000000000000000000-11-111-11-100000000
χ5422-2-222-2-2-222-22-2-2222-2-222-2-2-2-2222-1-2-2112-12211-1-1-2-200000000-1-212-11111-1-1-1-212-1-1-11111-1-10000-22-222-22-20000000000000000000000001-11-1-11-1100000000
χ5522-2-222-2-2-222-22-2-2222-2-222-2-2-2-222-1211-2-2-12-1-1-2-2221100000000-11-2-121111-1-1-11-2-12-1-11111-1-10000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000−ii−iii−ii−i
χ5622-2-222-2-2-222-22-2-2222-2-222-2-2-2-222-1211-2-2-12-1-1-2-2221100000000-11-2-121111-1-1-11-2-12-1-11111-1-1000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000i−ii−i−ii−ii
χ5722-2-2-2-2222-22-2222-2-22-2-2-2-222-2-2222-1-2-2112-1-2-2-1-1112200000000-12-1-2111-1-111-1-212-111-1-111-1-100002i−2i−2i2i2i−2i−2i2i000000000000000000000000−iii−i−iii−i00000000
χ5822-2-2-2-2222-22-2222-2-22-2-2-2-222-2-2222-1-2-2112-1-2-2-1-1112200000000-12-1-2111-1-111-1-212-111-1-111-1-10000−2i2i2i−2i−2i2i2i−2i000000000000000000000000i−i−iii−i−ii00000000
χ5922-2-2-2-2222-22-2222-2-22-2-2-2-222-2-222-1211-2-2-121122-2-2-1-100000000-1-121-211-1-111-11-2-1211-1-111-1-10000000000002-2-222-2-22000000000000000000000000-111-1-111-1
χ6022-2-2-2-2222-22-2222-2-22-2-2-2-222-2-222-1211-2-2-121122-2-2-1-100000000-1-121-211-1-111-11-2-1211-1-111-1-1000000000000-222-2-222-20000000000000000000000001-1-111-1-11
χ6122-2-2-2-222-2222-2-2-2222-2-2-2-22222-2-22-1-2-2112-1-2-2-1-1112200000000-1-212-11111-1-1-12-1-2111-1-1-1-11100002i−2i−2i2i−2i2i2i−2i000000000000000000000000−iii−ii−i−ii00000000
χ6222-2-2-2-222-2222-2-2-2222-2-2-2-22222-2-22-1-2-2112-1-2-2-1-1112200000000-1-212-11111-1-1-12-1-2111-1-1-1-1110000−2i2i2i−2i2i−2i−2i2i000000000000000000000000i−i−ii−iii−i00000000
χ6322-2-2-2-222-2222-2-2-2222-2-2-2-22222-2-2-1211-2-2-121122-2-2-1-100000000-11-2-121111-1-1-1-121-211-1-1-1-1110000000000002-2-22-222-2000000000000000000000000-111-11-1-11
χ6422-2-2-2-222-2222-2-2-2222-2-2-2-22222-2-2-1211-2-2-121122-2-2-1-100000000-11-2-121111-1-1-1-121-211-1-1-1-111000000000000-222-22-2-220000000000000000000000001-1-11-111-1
χ652-22-22i−2i2i−2i002000000-22-22i−2i2i−2i0000222-22-2-2-22i−2i2i−2i2i−2i2i−2i2-22-22i−2i2i−2i200002-20000-200002i−2i2i−2i0000000000000000000000002-22-22i−2i2i−2i000000000000000000000000
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Here i is the imaginary unit (i² = −1).