Finite Group Databasebeta

← Group #13161162

Character table — Group #13161162

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222222222222244444444444444444444444444448888888888888888888888888888888888121212121212121212121212121212121212121224242424242424243636363636363636545454547272108108
order122233333446666666666666663333446666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212448824242424242424242424242424242424121212121212121222882424242444446644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1
χ6111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111
χ7111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ911-1-111111-11-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i1-11-111-1-1i−ii−i1-1i−i
χ1011-1-111111-11-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i-11-11-1-111−ii−ii-11−ii
χ1111-1-111111-11-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii1-11-111-1-1−ii−ii1-1−ii
χ1211-1-111111-11-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii-11-11-1-111i−ii−i-11i−i
χ1311-1-111111-11-1-1-1-1-1-111111-1-1-1-11111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−ii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i1-1-11-1-111i−ii−i1-1−ii
χ1411-1-111111-11-1-1-1-1-1-111111-1-1-1-11111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−ii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-111-111-1-1−ii−ii-11i−i
χ1511-1-111111-11-1-1-1-1-1-111111-1-1-1-11111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii1-1-11-1-111−ii−ii1-1i−i
χ1611-1-111111-11-1-1-1-1-1-111111-1-1-1-11111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-111-111-1-1i−ii−i-11−ii
χ17222222222-2-2222222222222222222200222222222222-2-2-2-2-2-2-2-2-2-20000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000022-2-20000
χ18222222222-2-2222222222222222222200222222222222-2-2-2-2-2-2-2-2-2-20000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000-2-2220000
χ1922222222-1222222-1-12222-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-12222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000002222-1-1-1-10000-1-100
χ2022222222-1222222-1-12222-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-12222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-2-2-2-2111100001100
χ2122222222-1222222-1-12222-12222-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1-2-2-2-21-2-2-2-21-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000022-2-211110000-1-100
χ2222222222-1222222-1-12222-12222-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1-2-2-2-21-2-2-2-21-1-1-1-1-1-1-1-111111111111111110000000000000000000000000000-2-222-1-1-1-100001100
χ2322222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-12222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-122-1-1-122-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-10000000000000000
χ2422222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-12222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-122-1-1-122-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2111111-2-2111111-2111-21110000000000000000
χ2522222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-1-2-222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-12-2111-2-2111-22-1-1-12-1-1-1-2-2111111-2-211111122-2-2-2-2111111-2-21111112-1-1-12-1-1-10000000000000000
χ2622222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-1-2-222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-12-2111-2-2111-22-1-1-12-1-1-1-2-2111111-2-2111111-2-22222-1-1-1-1-1-122-1-1-1-1-1-1-2111-21110000000000000000
χ272222-12-1-1222-12-1-122-12-1-12-12-1-1-12-1-122-1-122-1-1-1-1-12-1-1-12-1-12-12-1-12-12-1-12-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-10000000000000000
χ282222-12-1-1222-12-1-122-12-1-12-12-1-1-12-1-122-1-122-1-1-1-1-12-1-1-12-1-12-12-1-12-12-1-12-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-211-2-2111111-2-211111-2111-2110000000000000000
χ292222-12-1-1222-12-1-122-12-1-12-12-1-1-12-1-1-2-2-1-122-1-1-1-1-12-1-1-12-1-12-12-1-121-211-21-211-2-12-1-1-12-1-111-2-2111111-2-2111122-2-211-2-2111111-2-21111-12-1-1-12-1-10000000000000000
χ302222-12-1-1222-12-1-122-12-1-12-12-1-1-12-1-1-2-2-1-122-1-1-1-1-12-1-1-12-1-12-12-1-121-211-21-211-2-12-1-1-12-1-111-2-2111111-2-21111-2-222-1-122-1-1-1-1-1-122-1-1-1-11-2111-2110000000000000000
χ312222-1-12-1222-1-12-122-1-12-12-1-12-1-1-12-122-1-1-1-122-1-1-1-12-1-1-12-12-1-12-12-1-12-12-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-10000000000000000
χ322222-1-12-1222-1-12-122-1-12-12-1-12-1-1-12-122-1-1-1-122-1-1-1-12-1-1-12-12-1-12-12-1-12-12-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-21111-2-2111111-2-21111-2111-210000000000000000
χ332222-1-12-1222-1-12-122-1-12-12-1-12-1-1-12-1-2-2-1-1-1-122-1-1-1-12-1-1-12-12-1-12-1211-21-211-21-2-1-12-1-1-12-11111-2-2111111-2-21122-2-21111-2-2111111-2-211-1-12-1-1-12-10000000000000000
χ342222-1-12-1222-1-12-122-1-12-12-1-12-1-1-12-1-2-2-1-1-1-122-1-1-1-12-1-1-12-12-1-12-1211-21-211-21-2-1-12-1-1-12-11111-2-2111111-2-211-2-222-1-1-1-122-1-1-1-1-1-122-1-111-2111-210000000000000000
χ352222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-12-1-1-122-1-1-122-1-1-122-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-120000000000000000
χ362222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-12-1-1-122-1-1-122-1-1-122-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2111111-2-2111111-2-2111-2111-20000000000000000
χ372222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-12-2-2-1-1-1-1-1-122-1-1-12-1-1-122-1-1-122111-2-2111-2-2-1-1-12-1-1-12111111-2-2111111-2-222-2-2111111-2-2111111-2-2-1-1-12-1-1-120000000000000000
χ382222-1-1-12222-1-1-1222-1-1-122-1-1-12-1-1-12-2-2-1-1-1-1-1-122-1-1-12-1-1-122-1-1-122111-2-2111-2-2-1-1-12-1-1-12111111-2-2111111-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-122111-2111-20000000000000000
χ3922-2-2222222-2-2-2-2-2-2-222222-2-2-2-2222200-2-2-2-2-2-2-2-22222-2-2-2-222222-20000000000-2-2-2-2222200000000000000000000000000000000000000000000000000002i−2i−2i2i0000
χ4022-2-2222222-2-2-2-2-2-2-222222-2-2-2-2222200-2-2-2-2-2-2-2-22222-2-2-2-222222-20000000000-2-2-2-222220000000000000000000000000000000000000000000000000000−2i2i2i−2i0000
χ4122-2-22222-1-22-2-2-2-2112222-1-2-2-2-2-1-1-1-12-211111111-1-1-1-122221-2-2-2-2-12222-1-2-2-2-21-1-1-1-11111-1-1-1-1-1-1-1-11111111100000000000000000000000000002-22-2-1-1110000-1100
χ4222-2-22222-1-22-2-2-2-2112222-1-2-2-2-2-1-1-1-12-211111111-1-1-1-122221-2-2-2-2-12222-1-2-2-2-21-1-1-1-11111-1-1-1-1-1-1-1-1111111110000000000000000000000000000-22-2211-1-100001-100
χ4322-2-22222-1-22-2-2-2-2112222-1-2-2-2-2-1-1-1-1-2211111111-1-1-1-122221-2-2-2-2-1-2-2-2-212222-1-1-1-1-1111111111111-1-1-1-1-1-1-1-100000000000000000000000000002-2-2211-1-10000-1100
χ4422-2-22222-1-22-2-2-2-2112222-1-2-2-2-2-1-1-1-1-2211111111-1-1-1-122221-2-2-2-2-1-2-2-2-212222-1-1-1-1-1111111111111-1-1-1-1-1-1-1-10000000000000000000000000000-222-2-1-11100001-100
χ4522-2-22-1-1-12-22-2111-2-22-1-1-12-21112-1-1-12-2-2-21111112-1-1-12-1-1-1-2-211122-1-1-12-2111-22-1-1-1-211122-1-1-1-1-1-1-2-21111112i−2i2i−2i2i2i−i−i−i−i−i−i−2i−2iiiiiii2i−i−i−i−2iiii0000000000000000
χ4622-2-22-1-1-12-22-2111-2-22-1-1-12-21112-1-1-12-2-2-21111112-1-1-12-1-1-1-2-211122-1-1-12-2111-22-1-1-1-211122-1-1-1-1-1-1-2-2111111−2i2i−2i2i−2i−2iiiiiii2i2i−i−i−i−i−i−i−2iiii2i−i−i−i0000000000000000
χ4722-2-22-1-1-12-22-2111-2-22-1-1-12-21112-1-1-1-22-2-21111112-1-1-12-1-1-1-2-21112-2111-22-1-1-122-1-1-1-2111-2-211111122-1-1-1-1-1-12i−2i−2i2i−2i−2iiiiiii2i2i−i−i−i−i−i−i2i−i−i−i−2iiii0000000000000000
χ4822-2-22-1-1-12-22-2111-2-22-1-1-12-21112-1-1-1-22-2-21111112-1-1-12-1-1-1-2-21112-2111-22-1-1-122-1-1-1-2111-2-211111122-1-1-1-1-1-1−2i2i2i−2i2i2i−i−i−i−i−i−i−2i−2iiiiiii−2iiii2i−i−i−i0000000000000000
χ4922-2-2-12-1-12-221-211-2-2-12-1-121-211-12-1-12-211-2-21111-12-1-1-12-1-1-21-2112-12-1-121-211-2-12-1-11-211-1-122-1-1-1-111-2-211112i−2i2i−2i−i−i2i2i−i−i−i−iii−2i−2iiiii−i2i−i−ii−2iii0000000000000000
χ5022-2-2-12-1-12-221-211-2-2-12-1-121-211-12-1-12-211-2-21111-12-1-1-12-1-1-21-2112-12-1-121-211-2-12-1-11-211-1-122-1-1-1-111-2-21111−2i2i−2i2iii−2i−2iiiii−i−i2i2i−i−i−i−ii−2iii−i2i−i−i0000000000000000
χ5122-2-2-12-1-12-221-211-2-2-12-1-121-211-12-1-1-2211-2-21111-12-1-1-12-1-1-21-21121-211-2-12-1-12-12-1-11-21111-2-21111-1-122-1-1-1-12i−2i−2i2iii−2i−2iiiii−i−i2i2i−i−i−i−i−i2i−i−ii−2iii0000000000000000
χ5222-2-2-12-1-12-221-211-2-2-12-1-121-211-12-1-1-2211-2-21111-12-1-1-12-1-1-21-21121-211-2-12-1-12-12-1-11-21111-2-21111-1-122-1-1-1-1−2i2i2i−2i−i−i2i2i−i−i−i−iii−2i−2iiiiii−2iii−i2i−i−i0000000000000000
χ5322-2-2-1-12-12-2211-21-2-2-1-12-1211-21-1-12-12-21111-2-211-1-12-1-1-12-1-211-212-1-12-1211-21-2-1-12-111-21-1-1-1-122-1-11111-2-2112i−2i2i−2i−i−i−i−i2i2i−i−iiiii−2i−2iii−i−i2i−iii−2ii0000000000000000
χ5422-2-2-1-12-12-2211-21-2-2-1-12-1211-21-1-12-12-21111-2-211-1-12-1-1-12-1-211-212-1-12-1211-21-2-1-12-111-21-1-1-1-122-1-11111-2-211−2i2i−2i2iiiii−2i−2iii−i−i−i−i2i2i−i−iii−2ii−i−i2i−i0000000000000000
χ5522-2-2-1-12-12-2211-21-2-2-1-12-1211-21-1-12-1-221111-2-211-1-12-1-1-12-1-211-21211-21-2-1-12-12-1-12-111-211111-2-211-1-1-1-122-1-12i−2i−2i2iiiii−2i−2iii−i−i−i−i2i2i−i−i−i−i2i−iii−2ii0000000000000000
χ5622-2-2-1-12-12-2211-21-2-2-1-12-1211-21-1-12-1-221111-2-211-1-12-1-1-12-1-211-21211-21-2-1-12-12-1-12-111-211111-2-211-1-1-1-122-1-1−2i2i2i−2i−i−i−i−i2i2i−i−iiiii−2i−2iiiii−2ii−i−i2i−i0000000000000000
χ5722-2-2-1-1-122-22111-2-2-2-1-1-122111-2-1-1-122-2111111-2-2-1-1-12-1-1-12-2111-22-1-1-122111-2-2-1-1-12111-2-1-1-1-1-1-122111111-2-22i−2i2i−2i−i−i−i−i−i−i2i2iiiiiii−2i−2i−i−i−i2iiii−2i0000000000000000
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χ5922-2-2-1-1-122-22111-2-2-2-1-1-122111-2-1-1-12-22111111-2-2-1-1-12-1-1-12-2111-22111-2-2-1-1-122-1-1-12111-2111111-2-2-1-1-1-1-1-1222i−2i−2i2iiiiiii−2i−2i−i−i−i−i−i−i2i2i−i−i−i2iiii−2i0000000000000000
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χ1258-88-88-4-4-4-4008-4-4-4-44-84444-8444-422200-442-22-22-24-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-48-4-4-400-48-4-4-444-84444-8442-422002-2-442-22-2-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-88-8-4-48-4-400-4-48-4-4444-84444-8422-42002-22-2-442-2-2-24-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1328-8-88-4-4-48-400444-84-4444-84-4-4-48222-400-22-22-224-4-2-2-240000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).