Finite Group Databasebeta

← Group #13160923

Character table — Group #13160923

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222222222222244444444444444444444444444448888888888888888888888888888888888121212121212121212121212121212121212121224242424242424243636363636363636545454547272108108
order1222333334466666666666666622333366666666666612121212121212121212666666666666666666666666661212121212121212228824242424242424242424242424242424666666664488242424244444121244
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
χ511111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1
χ611111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111
χ711111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ911-1-1111111-1-1-1-1-1-1-1-1-1-111111-11-11111-1-1-1-1-1-1-1-111111-1-1-1-11111-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-1i−ii−iii−i−ii−ii−ii−ii−i
χ1011-1-1111111-1-1-1-1-1-1-1-1-1-111111-11-11111-1-1-1-1-1-1-1-111111-1-1-1-11111-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−ii−ii−i−iii−ii−ii−ii−ii
χ1111-1-1111111-1-1-1-1-1-1-1-1-1-111111-11-11111-1-1-1-1-1-1-1-111111-1-1-1-11111-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-1-1-1-1-111111111-1-1-1-11111i−ii−iii−i−i−ii−iii−i−ii
χ1211-1-1111111-1-1-1-1-1-1-1-1-1-111111-11-11111-1-1-1-1-1-1-1-111111-1-1-1-11111-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-1-1-1-1-111111111-1-1-1-11111−ii−ii−i−iiii−ii−i−iii−i
χ1311-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1i−i−ii−i−iiii−ii−ii−i−ii
χ1411-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1−iii−iii−i−i−ii−ii−iii−i
χ1511-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-11111i−i−ii−i−iii−ii−iii−ii−i
χ1611-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-11111−iii−iii−i−ii−ii−i−ii−ii
χ17222222222-2-2222222222222222002222222222222222-2-2-2-2-2-2-2-2-2-200000000000000000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000000022-2-20000
χ18222222222-2-2222222222222222002222222222222222-2-2-2-2-2-2-2-2-2-200000000000000000000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2-2220000
χ19222222-1-1-122222-1-1-1-1-1-122-1-1-12222-1-1-122-1-1-1-1-1-12-1-1-122-1-1-12-1-1-12222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-10000000000000000
χ20222222-1-1-122222-1-1-1-1-1-122-1-1-12222-1-1-122-1-1-1-1-1-12-1-1-122-1-1-12-1-1-12222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-2-2-2111111-2-2111111-2111-21110000000000000000
χ21222222-1-1-122222-1-1-1-1-1-122-1-1-12-2-22-1-1-122-1-1-1-1-1-12-1-1-122-1-1-12-1-1-12-2-2-2111-2111-2-2111111-2-21111112-1-1-12-1-1-122-2-2-2-2111111-2-21111112-1-1-12-1-1-10000000000000000
χ22222222-1-1-122222-1-1-1-1-1-122-1-1-12-2-22-1-1-122-1-1-1-1-1-12-1-1-122-1-1-12-1-1-12-2-2-2111-2111-2-2111111-2-21111112-1-1-12-1-1-1-2-22222-1-1-1-1-1-122-1-1-1-1-1-1-2111-21110000000000000000
χ2322222-12-1-1222-1-122-1-1-1-12-12-1-1222-12-1-1-1-122-1-1-1-1-12-1-12-12-1-1-12-1-1222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-10000000000000000
χ2422222-12-1-1222-1-122-1-1-1-12-12-1-1222-12-1-1-1-122-1-1-1-1-12-1-12-12-1-1-12-1-1222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-2-211-2-2111111-2-211111-2111-2110000000000000000
χ2522222-12-1-1222-1-122-1-1-1-12-12-1-12-2-2-12-1-1-1-122-1-1-1-1-12-1-12-12-1-1-12-1-12-2-21-2111-21111-2-2111111-2-21111-12-1-1-12-1-122-2-211-2-2111111-2-21111-12-1-1-12-1-10000000000000000
χ2622222-12-1-1222-1-122-1-1-1-12-12-1-12-2-2-12-1-1-1-122-1-1-1-1-12-1-12-12-1-1-12-1-12-2-21-2111-21111-2-2111111-2-21111-12-1-1-12-1-1-2-222-1-122-1-1-1-1-1-122-1-1-1-11-2111-2110000000000000000
χ2722222-1-12-1222-1-1-1-122-1-12-1-12-1222-1-12-1-1-1-1-122-1-1-1-12-12-1-12-1-1-12-1222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-10000000000000000
χ2822222-1-12-1222-1-1-1-122-1-12-1-12-1222-1-12-1-1-1-1-122-1-1-1-12-12-1-12-1-1-12-1222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-2-2-2-21111-2-2111111-2-21111-2111-210000000000000000
χ2922222-1-12-1222-1-1-1-122-1-12-1-12-12-2-2-1-12-1-1-1-1-122-1-1-1-12-12-1-12-1-1-12-12-2-211-2111-211111-2-2111111-2-211-1-12-1-1-12-122-2-21111-2-2111111-2-211-1-12-1-1-12-10000000000000000
χ3022222-1-12-1222-1-1-1-122-1-12-1-12-12-2-2-1-12-1-1-1-1-122-1-1-1-12-12-1-12-1-1-12-12-2-211-2111-211111-2-2111111-2-211-1-12-1-1-12-1-2-222-1-1-1-122-1-1-1-1-1-122-1-111-2111-210000000000000000
χ3122222-1-1-12222-1-1-1-1-1-1222-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-12222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-120000000000000000
χ3222222-1-1-12222-1-1-1-1-1-1222-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-12222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-2-2-2-2111111-2-2111111-2-2111-2111-20000000000000000
χ3322222-1-1-12222-1-1-1-1-1-1222-1-1-122-2-2-1-1-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-122-2-2111-2111-2111111-2-2111111-2-2-1-1-12-1-1-1222-2-2111111-2-2111111-2-2-1-1-12-1-1-120000000000000000
χ3422222-1-1-12222-1-1-1-1-1-1222-1-1-122-2-2-1-1-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-122-2-2111-2111-2111111-2-2111111-2-2-1-1-12-1-1-12-2-222-1-1-1-1-1-122-1-1-1-1-1-122111-2111-20000000000000000
χ352222-1222222-122222222-12222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000002222-1-1-1-10000-1-100
χ362222-1222222-122222222-12222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-2-2-2-2111100001100
χ372222-1222222-122222222-12222-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-111-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1000000000000000000000000000022-2-211110000-1-100
χ382222-1222222-122222222-12222-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-111-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-10000000000000000000000000000-2-222-1-1-1-100001100
χ3922-2-222222-22-2-2-2-2-2-2-2-2-222222-2002222-2-2-2-2-2-2-2-22222-22222-2-2-2-2200000000000000000000000000-2-2-2-222220000000000000000000000000000000000002i−2i−2i2i0000
χ4022-2-222222-22-2-2-2-2-2-2-2-2-222222-2002222-2-2-2-2-2-2-2-22222-22222-2-2-2-2200000000000000000000000000-2-2-2-22222000000000000000000000000000000000000−2i2i2i−2i0000
χ4122-2-222-1-1-12-2-2-2-211111122-1-1-1-22-22-1-1-1-2-21111112-1-1-12-21112-1-1-1-22-22-1-1-1-211122-1-1-1-1-1-1-2-21111112-1-1-1-21112-22-222-1-1-1-1-1-1-2-21111112-1-1-1-21110000000000000000
χ4222-2-222-1-1-12-2-2-2-211111122-1-1-1-22-22-1-1-1-2-21111112-1-1-12-21112-1-1-1-22-22-1-1-1-211122-1-1-1-1-1-1-2-21111112-1-1-1-2111-22-22-2-211111122-1-1-1-1-1-1-21112-1-1-10000000000000000
χ4322-2-222-1-1-12-2-2-2-211111122-1-1-1-2-222-1-1-1-2-21111112-1-1-12-21112-1-1-1-2-22-21112-1-1-1-2-211111122-1-1-1-1-1-12-1-1-1-21112-2-22-2-211111122-1-1-1-1-1-12-1-1-1-21110000000000000000
χ4422-2-222-1-1-12-2-2-2-211111122-1-1-1-2-222-1-1-1-2-21111112-1-1-12-21112-1-1-1-2-22-21112-1-1-1-2-211111122-1-1-1-1-1-12-1-1-1-2111-222-222-1-1-1-1-1-1-2-2111111-21112-1-1-10000000000000000
χ4522-2-22-12-1-12-2-211-2-211112-12-1-1-22-2-12-1-111-2-21111-12-1-121-211-12-1-1-22-2-12-1-11-211-1-122-1-1-1-111-2-21111-12-1-11-2112-22-2-1-122-1-1-1-111-2-21111-12-1-11-2110000000000000000
χ4622-2-22-12-1-12-2-211-2-211112-12-1-1-22-2-12-1-111-2-21111-12-1-121-211-12-1-1-22-2-12-1-11-211-1-122-1-1-1-111-2-21111-12-1-11-211-22-2211-2-21111-1-122-1-1-1-11-211-12-1-10000000000000000
χ4722-2-22-12-1-12-2-211-2-211112-12-1-1-2-22-12-1-111-2-21111-12-1-121-211-12-1-1-2-221-211-12-1-111-2-21111-1-122-1-1-1-1-12-1-11-2112-2-2211-2-21111-1-122-1-1-1-1-12-1-11-2110000000000000000
χ4822-2-22-12-1-12-2-211-2-211112-12-1-1-2-22-12-1-111-2-21111-12-1-121-211-12-1-1-2-221-211-12-1-111-2-21111-1-122-1-1-1-1-12-1-11-211-222-2-1-122-1-1-1-111-2-211111-211-12-1-10000000000000000
χ4922-2-22-1-12-12-2-21111-2-2112-1-12-1-22-2-1-12-11111-2-211-1-12-1211-21-1-12-1-22-2-1-12-111-21-1-1-1-122-1-11111-2-211-1-12-111-212-22-2-1-1-1-122-1-11111-2-211-1-12-111-210000000000000000
χ5022-2-22-1-12-12-2-21111-2-2112-1-12-1-22-2-1-12-11111-2-211-1-12-1211-21-1-12-1-22-2-1-12-111-21-1-1-1-122-1-11111-2-211-1-12-111-21-22-221111-2-211-1-1-1-122-1-111-21-1-12-10000000000000000
χ5122-2-22-1-12-12-2-21111-2-2112-1-12-1-2-22-1-12-11111-2-211-1-12-1211-21-1-12-1-2-2211-21-1-12-11111-2-211-1-1-1-122-1-1-1-12-111-212-2-221111-2-211-1-1-1-122-1-1-1-12-111-210000000000000000
χ5222-2-22-1-12-12-2-21111-2-2112-1-12-1-2-22-1-12-11111-2-211-1-12-1211-21-1-12-1-2-2211-21-1-12-11111-2-211-1-1-1-122-1-1-1-12-111-21-222-2-1-1-1-122-1-11111-2-21111-21-1-12-10000000000000000
χ5322-2-22-1-1-122-2-2111111-2-22-1-1-12-22-2-1-1-12111111-2-2-1-1-122111-2-1-1-12-22-2-1-1-12111-2-1-1-1-1-1-122111111-2-2-1-1-12111-22-22-2-1-1-1-1-1-122111111-2-2-1-1-12111-20000000000000000
χ5422-2-22-1-1-122-2-2111111-2-22-1-1-12-22-2-1-1-12111111-2-2-1-1-122111-2-1-1-12-22-2-1-1-12111-2-1-1-1-1-1-122111111-2-2-1-1-12111-2-22-22111111-2-2-1-1-1-1-1-122111-2-1-1-120000000000000000
χ5522-2-22-1-1-122-2-2111111-2-22-1-1-12-2-22-1-1-12111111-2-2-1-1-122111-2-1-1-12-2-22111-2-1-1-12111111-2-2-1-1-1-1-1-122-1-1-12111-22-2-22111111-2-2-1-1-1-1-1-122-1-1-12111-20000000000000000
χ5622-2-22-1-1-122-2-2111111-2-22-1-1-12-2-22-1-1-12111111-2-2-1-1-122111-2-1-1-12-2-22111-2-1-1-12111111-2-2-1-1-1-1-1-122-1-1-12111-2-222-2-1-1-1-1-1-122111111-2-2111-2-1-1-120000000000000000
χ5722-2-2-122222-21-2-2-2-2-2-2-2-2-1222212-2-1-1-1-111111111-1-1-1-1-1-2-2-2-222221-112222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1111100000000000000000000000000002i−2i2i−2i−i−iii0000−ii00
χ5822-2-2-122222-21-2-2-2-2-2-2-2-2-1222212-2-1-1-1-111111111-1-1-1-1-1-2-2-2-222221-112222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-111110000000000000000000000000000−2i2i−2i2iii−i−i0000i−i00
χ5922-2-2-122222-21-2-2-2-2-2-2-2-2-122221-22-1-1-1-111111111-1-1-1-1-1-2-2-2-2222211-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-1111100000000000000000000000000002i−2i−2i2iii−i−i0000−ii00
χ6022-2-2-122222-21-2-2-2-2-2-2-2-2-122221-22-1-1-1-111111111-1-1-1-1-1-2-2-2-2222211-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-111110000000000000000000000000000−2i2i2i−2i−i−iii0000i−i00
χ61444444-2-2-2-4-4444-2-2-2-2-2-244-2-2-24004-2-2-244-2-2-2-2-2-24-2-2-2-4-4222-4222-400000000000000000000000000-4222-422200000000000000000000000000000000000000000000
χ6244444-24-2-2-4-44-2-244-2-2-2-24-24-2-2400-24-2-2-2-244-2-2-2-2-24-2-2-42-4222-422-4000000000000000000000000002-4222-42200000000000000000000000000000000000000000000
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χ1258-88-8-48-4-4-40048-8-44-44-444-8444-400-4222-442-22-22-24-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-4-48-4-4004-448-8-44-4444-844-4002-4222-2-442-22-2-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1328-8-88-4-4-4-4800-44-44-44-4-884444-8400222-4-22-22-224-4-2-2-240000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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