Finite Group Databasebeta

← Group #13178711

Character table — Group #13178711

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222222244444444444444444444444444444444444444888888888888888888888888888888181818181818181818181818181818181818181818181818181818181818181818181818363636363636363636363636363636363636
order12223334444446666666663333366666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121222444444444444444444444466661212121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ5111111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-1
χ6111111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ7111111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111
χ8111111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111
χ91111111-1-111-1-111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1111111111111-1-111-1-1-1-111-1-1-1-111-1-1
χ101111111-1-111-1-111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1
χ111111111-1-111-1-111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-111
χ121111111-1-111-1-111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111
χ131111111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-111
χ141111111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111
χ151111111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ161111111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1
χ1711-1-11111-11-11-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111-1-11-11-11-111111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-11-11-11-11-1i−ii−ii−ii−ii−ii−ii−ii−i11-1-1ii−i−iii−i−ii−ii−ii−ii−ii−ii−i1-11-11-1
χ1811-1-11111-11-11-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111-1-11-11-11-111111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-11-11-11-11-1−ii−ii−ii−ii−ii−ii−ii−ii11-1-1−i−iii−i−iii−ii−ii−ii−ii−ii−ii1-11-11-1
χ1911-1-11111-11-11-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111-1-11-11-11-111111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1-11-11-11-11i−ii−ii−ii−i−ii−ii−ii−ii-1-111ii−i−i−i−iiii−ii−ii−i−ii−ii−ii-11-11-11
χ2011-1-11111-11-11-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111-1-11-11-11-111111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1-11-11-11-11−ii−ii−ii−iii−ii−ii−ii−i-1-111−i−iiiii−i−i−ii−ii−iii−ii−ii−i-11-11-11
χ2111-1-11111-1-11-11-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1111-1-11-1111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111-11-1-11-11i−ii−i−ii−iii−ii−i−ii−ii11-1-1ii−i−iii−i−ii−i−ii−iii−i−ii−ii1-1-11-11
χ2211-1-11111-1-11-11-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1111-1-11-1111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1111111-11-1-11-11−ii−iii−ii−i−ii−iii−ii−i11-1-1−i−iii−i−iii−iii−ii−i−iii−ii−i1-1-11-11
χ2311-1-11111-1-11-11-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1111-1-11-1111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111111-11-111-11-1i−ii−i−ii−ii−ii−iii−ii−i-1-111ii−i−i−i−iiii−i−ii−ii−iii−ii−i-111-11-1
χ2411-1-11111-1-11-11-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1111-1-11-1111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111111-11-111-11-1−ii−iii−ii−ii−ii−i−ii−ii-1-111−i−iiiii−i−i−iii−ii−ii−i−ii−ii-111-11-1
χ2511-1-1111-111-1-11-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111-111-1-11-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11i−i−iii−i−iii−i−iii−i−ii11-1-1ii−i−iii−i−i−iii−i−ii−iii−i−ii-111-1-11
χ2611-1-1111-111-1-11-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111-111-1-11-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11−iii−i−iii−i−iii−i−iii−i11-1-1−i−iii−i−iiii−i−iii−ii−i−iii−i-111-1-11
χ2711-1-1111-111-1-11-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111-111-1-11-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-111-1-111-1i−i−iii−i−ii−iii−i−iii−i-1-111ii−i−i−i−iii−iii−i−iii−i−iii−i1-1-111-1
χ2811-1-1111-111-1-11-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111-111-1-11-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-111-1-111-1−iii−i−iii−ii−i−iii−i−ii-1-111−i−iiiii−i−ii−i−iii−i−iii−i−ii1-1-111-1
χ2911-1-1111-11-111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-11111-1-1-11-111-1-1-1-1-1-111111-1-1-1-1-11111111111-1-1-1-1-11-1-11-111-1i−i−ii−iii−ii−i−ii−iii−i11-1-1ii−i−iii−i−i−ii−iii−i−ii−iii−i-11-111-1
χ3011-1-1111-11-111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-11111-1-1-11-111-1-1-1-1-1-111111-1-1-1-1-11111111111-1-1-1-1-11-1-11-111-1−iii−ii−i−ii−iii−ii−i−ii11-1-1−i−iii−i−iiii−ii−i−iii−ii−i−ii-11-111-1
χ3111-1-1111-11-111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-11111-1-1-11-111-1-1-1-1-1-111111-1-1-1-1-11111111111-1-1-1-1-1-111-11-1-11i−i−ii−iii−i−iii−ii−i−ii-1-111ii−i−i−i−iii−ii−iii−ii−ii−i−ii1-11-1-11
χ3211-1-1111-11-111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-11111-1-1-11-111-1-1-1-1-1-111111-1-1-1-1-11111111111-1-1-1-1-1-111-11-1-11−iii−ii−i−iii−i−ii−iii−i-1-111−i−iiiii−i−ii−ii−i−ii−ii−iii−i1-11-1-11
χ33222222-1222222-1-1222222-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1222222222222-1-1-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-1222222220000000000000000-1-1-1-100000000000000000000-1-1-1-1-1-1
χ34222222-1222222-1-1222222-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1222222222222-1-1-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-2-2-2-2-20000000000000000111100000000000000000000111111
χ35222222-122-2-2-2-2-1-1222222-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12222-2-2-2-2-2-2-2-2-1-111112-1-1-1-12-1-1-1-1-21111-21111-21111-211112222-2-2-2-20000000000000000-1-1-1-100000000000000000000-1-11111
χ36222222-122-2-2-2-2-1-1222222-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12222-2-2-2-2-2-2-2-2-1-111112-1-1-1-12-1-1-1-1-21111-21111-21111-21111-2-2-2-22222000000000000000011110000000000000000000011-1-1-1-1
χ37222222-1-2-222-2-2-1-1222222-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-22222-2-2-2-211-1-111-21111-211112-1-1-1-12-1-1-1-1-21111-2111122-2-222-2-20000000000000000-1-1-1-10000000000000000000011-1-111
χ38222222-1-2-222-2-2-1-1222222-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-22222-2-2-2-211-1-111-21111-211112-1-1-1-12-1-1-1-1-21111-21111-2-222-2-2220000000000000000111100000000000000000000-1-111-1-1
χ39222222-1-2-2-2-222-1-1222222-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2-2-2-2-222221111-1-1-21111-21111-21111-211112-1-1-1-12-1-1-1-122-2-2-2-2220000000000000000-1-1-1-1000000000000000000001111-1-1
χ40222222-1-2-2-2-222-1-1222222-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2-2-2-2-222221111-1-1-21111-21111-21111-211112-1-1-1-12-1-1-1-1-2-22222-2-20000000000000000111100000000000000000000-1-1-1-111
χ4122222-12222222222-12-12-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-12-12-12-12-12-1222222-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-100000000000000002222222200000000-1-1-1-1000000-1-1-1-1-1-1000000
χ4222222-12222222222-12-12-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-12-12-12-12-12-1222222-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-10000000000000000-2-2-2-2-2-2-2-2000000001111000000111111000000
χ4322222-1222-2-2-2-2222-12-12-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-12-1-21-21-21-2122-2-2-2-2-12-1-1-1-12-1-1-11-21111-21111-21111-211100000000000000002222-2-2-2-200000000-1-1-1-1000000-1-11111000000
χ4422222-1222-2-2-2-2222-12-12-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-12-1-21-21-21-2122-2-2-2-2-12-1-1-1-12-1-1-11-21111-21111-21111-21110000000000000000-2-2-2-2222200000000111100000011-1-1-1-1000000
χ4522222-12-2-222-2-2222-12-12-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-21-212-12-1-21-21-2-222-2-21-21111-2111-12-1-1-1-12-1-1-11-21111-2111000000000000000022-2-222-2-200000000-1-1-1-100000011-1-111000000
χ4622222-12-2-222-2-2222-12-12-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-21-212-12-1-21-21-2-222-2-21-21111-2111-12-1-1-1-12-1-1-11-21111-21110000000000000000-2-222-2-222000000001111000000-1-111-1-1000000
χ4722222-12-2-2-2-222222-12-12-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-21-21-21-212-12-1-2-2-2-2221-21111-21111-21111-2111-12-1-1-1-12-1-1-1000000000000000022-2-2-2-22200000000-1-1-1-10000001111-1-1000000
χ4822222-12-2-2-2-222222-12-12-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-21-21-21-212-12-1-2-2-2-2221-21111-21111-21111-2111-12-1-1-1-12-1-1-10000000000000000-2-22222-2-2000000001111000000-1-1-1-111000000
χ492222-12222222222-12-12-122-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-12-12-12-12-12222222-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-10000000022222222000000000000-1-1-1-10000-1-1-1-1-1-1000000000000
χ502222-12222222222-12-12-122-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-12-12-12-12-12222222-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-100000000-2-2-2-2-2-2-2-200000000000011110000111111000000000000
χ512222-12222-2-2-2-222-12-12-122-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-121-21-21-21-222-2-2-2-2-1-12-1-1-1-12-1-111-21111-21111-21111-211000000002222-2-2-2-2000000000000-1-1-1-10000-1-11111000000000000
χ522222-12222-2-2-2-222-12-12-122-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-121-21-21-21-222-2-2-2-2-1-12-1-1-1-12-1-111-21111-21111-21111-21100000000-2-2-2-222220000000000001111000011-1-1-1-1000000000000
χ532222-122-2-222-2-222-12-12-122-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-11-21-2-12-121-21-2-2-222-2-211-21111-211-1-12-1-1-1-12-1-111-21111-2110000000022-2-222-2-2000000000000-1-1-1-1000011-1-111000000000000
χ542222-122-2-222-2-222-12-12-122-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-11-21-2-12-121-21-2-2-222-2-211-21111-211-1-12-1-1-1-12-1-111-21111-21100000000-2-222-2-22200000000000011110000-1-111-1-1000000000000
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χ11944-4-4-2-2-2-44-444-422-2-22222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i3222-2-222-2-2-2-2222-22-2-22-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32111−1−3i32−1+3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32000000000000000000000000000000000000000000000000000000
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χ1214-44-44440000004-4-4-44-4-44-4444444-44-44-44-44-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1234-44-444-2000000-22-4-44-4-4424-2-2-2-24-4-22-22-22-22-422220000000000000000000000000000000000000000000000000000000000000000000000002i3−2i32i3−2i300000000000000000000000000
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χ1284-4-44444000000-44-4-4-444-4-444444-44-44-44-44-44-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1294-4-4444-20000002-2-4-4-444-424-2-2-2-2-442-22-22-22-2-42222000000000000000000000000000000000000000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000000
χ1304-4-4444-20000002-2-4-4-444-424-2-2-2-2-442-22-22-22-2-422220000000000000000000000000000000000000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000000
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χ1324-4-444-24000000-44-42-4-242-4-24-2-2-22-2-442-22-22-22-4222000000000000000000000000000000000000000000000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000
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χ1358-88-88-4-4000000-44-8484-8-44-4-4222-44-442-22-22-244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-88-8-48-4000000-444-8-4-8484-42-422-442-2-442-22-24-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1388-88-8-4-4-4000000-4444-444-44222−1−3i3−1+3i32-22-22-2−1−3i31+3i3−1+3i31−3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1398-88-8-4-4-4000000-4444-444-44222−1+3i3−1−3i32-22-22-2−1+3i31−3i3−1−3i31+3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1438-8-88-4-4-40000004-4444-4-444222−1−3i3−1+3i3-22-22-221+3i3−1−3i31−3i3−1+3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-88-4-4-40000004-4444-4-444222−1+3i3−1−3i3-22-22-221−3i3−1+3i31+3i3−1−3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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