Finite Group Databasebeta

← Group #13181678

Character table — Group #13181678

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size1122222222222222244444444444444444444444444444444444444448888888888888888888888888888889918181818181818181818181818181818181818181818181818181836363636363636363636363636363636363636363636
order12222223334466666333336666666666666666666666666666612121212121266666666666666666666121212121212121212124422222222224444444444444121212126666666666121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ511111-1-1111-1-1111111111111-1-1111111-1-1-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111-1-111-1-111-1-11111-1-111-1-111-1-111-1-111-1-111-1-1
χ611111-1-1111-1-1111111111111-1-1111111-1-1-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-111-1-11111-1-1
χ711111-1-1111-1-1111111111111-1-1111111-1-1-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111
χ811111-1-1111-1-1111111111111-1-1111111-1-1-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111
χ9111-1-111111-1-11111111111-1-11111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11-11-11-11-11-1-1111-11-11-11-11111-1-11-11-11-11-11-11-11-11-1-1-111
χ10111-1-111111-1-11111111111-1-11111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-11-11-11-111-1-111-11-11-11-111111-1-1-11-11-11-11-11-11-11-11-1-111
χ11111-1-111111-1-11111111111-1-11111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-11-11-111-1-11-11-1-11-11-1-1-1-1111-11-1-11-111-11-1-11-1111-1-1
χ12111-1-111111-1-11111111111-1-11111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-111-11-1-111-1-1-11-111-11-1-1-1-1-111-11-111-11-1-11-111-11-111-1-1
χ13111-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-111-1-111-1-1-1-11-1-111-1-111111111-1-111-1-111-1-111-1-11-1-1-1-1
χ14111-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-111-1-111-11-1-1-1-1-111-1-111-1111111-111-1-111-1-111-1-111-1-1-1-1-1
χ15111-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-11-111-1-111111-1-11-111-1-1-1-1-1-1-11-1-11-111-11-1-11-111-11111
χ16111-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-11-1-11-11111-111-11-1-11-1-1-1-1-1-1-111-11-1-11-111-11-1-111111
χ1711-11-11-11111-1-1-1111111111-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-111111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1111-1111-1-1-1-11-11-11-1-1-1-11111-111-1-11-1111-1-1-1-11-1-1-11111-11-11-1
χ1811-11-11-11111-1-1-1111111111-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-111111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1111-1-1-1-11111-1-11-11-1111-1-1-1-1111-1-11-1-1-1-11111-1111-1-1-1-111-11-1
χ1911-11-11-11111-1-1-1111111111-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-111111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1111-11-11-11-1-1-11-1-1-11-1-111-11111-1111-1-1-1-11-1-1-11-11-11
χ2011-11-11-11111-1-1-1111111111-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-111111-1-1-1-1-111111-1-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-11-1-1-111-11-11111-1111-1-1-111-11-1-1-11-1-1-11111-1111-1-11-11
χ2111-11-1-11111-11-1-1111111111-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-111-1111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11111111-1111-11-1-11-1-11-1-11-1-11-111-1111-1-1-1111-11-1-11-1-1-11-111-111-1-11
χ2211-11-1-11111-11-1-1111111111-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-111-1111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-11111111-11-1-11-111-11-11-1-1111-11-1-11-111-1-1-11-1-11-111-1111-11-1-11-11-1-11
χ2311-11-1-11111-11-1-1111111111-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-111-1111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111111-1-11-111-1111-111-111-1-1-11-1-1-11-1-1-1111-111-1111-11-1-11-1-1-11-1-111-1
χ2411-11-1-11111-11-1-1111111111-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-111-1111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111111-1-11-1-1-11-1-1-11-11-111-111-1111-11-1-1111-1-1-11-1-1-11-111-1111-11-111-1
χ2511-1-111-1111-11-1-111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-11-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111-111-111-11-1-1-1-111-1-11-1-11-11111-1-1-111-111-11-1-1-11-1-11-111-111-1
χ2611-1-111-1111-11-1-111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-11-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111-11-11-1-11-111-1-111-11-111-11-1-111-1-1-11-11-1-11-1111-111-11-1-1-111-1
χ2711-1-111-1111-11-1-111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-11-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-11-11-1111-11111-1-11-11-1-1-11-1-1-1-1111-11-1111-111-11-1-1-11-1-11-1-11
χ2811-1-111-1111-11-1-111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-11-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-11-1-11-1-1-11-1-111-1-111-1111-111-1-1111-1-11-1-1-11-1-11-1111-1111-1-11
χ2911-1-11-111111-1-1-111111111-11-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-111111-1-1-1-1-11111111111-1-1-1-1-1111-11-1-1-1-1111-1-11-11-11111-1-1-111-1-11-11-1-1-1-1111-11111-1-1-1-11-11
χ3011-1-11-111111-1-1-111111111-11-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-111111-1-1-1-1-11111111111-1-1-1-1-1111-1-11111-1-1-1-1-11-111-1-1-1-111111-1-11-1-11111-1-1-11-1-1-1-1111-11-11
χ3111-1-11-111111-1-1-111111111-11-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-11-1-1-111-11-1-1111-1111-1-111-111-1-1-11-1-1-1-1111-11111-11-1
χ3211-1-11-111111-1-1-111111111-11-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1111-111111-11-11-1-1-11-1-1-1-1-111-11-1111-11111-1-1-11-1-1-11-11-1
χ33222222222-122222-122-1-1-1-122222-12-12-12-12-122-1-1-1-1-1-1-1-12-1-1-1-12-12-1222-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-100000000222200000000022220000000000-1-1-1-10000-1-1-1-10000
χ34222222222-122222-122-1-1-1-122222-12-12-12-12-122-1-1-1-1-1-1-1-12-1-1-1-12-12-1222-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-100000000-2-2-2-2000000000-2-2-2-200000000001111000011110000
χ3522222222-122222-122-12-1-1-12222-12-12-12-12-12-1-122-1-1-1-1-1-1-12-1-1-1-12-1222-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-10000222200000000022220000000000-1-1-1-10000-1-1-1-100000000
χ3622222222-122222-122-12-1-1-12222-12-12-12-12-12-1-122-1-1-1-1-1-1-12-1-1-1-12-1222-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-10000-2-2-2-2000000000-2-2-2-2000000000011110000111100000000
χ372222222-12222-1-122-1-1-12-1-1-1-1-1-12222222222-1-1-1-122-1-1-1-1-1-12-1-12222-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-12222000000002222200000000-1-1-1-1-1-10000000000000000-1-1-1-1
χ382222222-12222-1-122-1-1-12-1-1-1-1-1-12222222222-1-1-1-122-1-1-1-1-1-12-1-12222-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-2-2-2-200000000-2-2-2-2-20000000011111100000000000000001111
χ3922222-2-222-1-2-2222-122-1-1-1-122-2-22-12-12-1-21-2122-1-1-1-1-1-1-1-12-1-1-1-1-21-21-2-22-1-1-1-12-1-1-1-1-21111-21111-21111-211110000000022-2-200000000022-2-20000000000-1-1110000-1-1110000
χ4022222-2-222-1-2-2222-122-1-1-1-122-2-22-12-12-1-21-2122-1-1-1-1-1-1-1-12-1-1-1-1-21-21-2-22-1-1-1-12-1-1-1-1-21111-21111-21111-2111100000000-2-222000000000-2-222000000000011-1-1000011-1-10000
χ4122222-2-22-12-2-222-122-12-1-1-122-2-2-12-12-121-21-2-1-122-1-1-1-1-1-1-12-1-1-11-21-2-2-2-12-1-1-1-12-1-1-11-21111-21111-21111-2111000022-2-200000000022-2-20000000000-1-1110000-1-11100000000
χ4222222-2-22-12-2-222-122-12-1-1-122-2-2-12-12-121-21-2-1-122-1-1-1-1-1-1-12-1-1-11-21-2-2-2-12-1-1-1-12-1-1-11-21111-21111-21111-21110000-2-222000000000-2-222000000000011-1-1000011-1-100000000
χ4322222-2-2-122-2-2-1-122-1-1-12-1-1-1-111222222-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-1-2-2-2-211-1-12-1-1-1-12-1-111-21111-21111-21111-21122-2-200000000222-2-200000000-1-1-1-1110000000000000000-1-111
χ4422222-2-2-122-2-2-1-122-1-1-12-1-1-1-111222222-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-1-2-2-2-211-1-12-1-1-1-12-1-111-21111-21111-21111-211-2-22200000000-2-2-222000000001111-1-1000000000000000011-1-1
χ45222-2-22222-1-2-2222-122-1-1-1-1-2-2222-1-21-212-12-122-1-1-1-1-1-1-1-12-1-1-1-1-21-21-2-2-21111-211112-1-1-1-12-1-1-1-1-21111-21111000000002-22-20000000002-22-20000000000-11-110000-11-110000
χ46222-2-22222-1-2-2222-122-1-1-1-1-2-2222-1-21-212-12-122-1-1-1-1-1-1-1-12-1-1-1-1-21-21-2-2-21111-211112-1-1-1-12-1-1-1-1-21111-2111100000000-22-22000000000-22-2200000000001-11-100001-11-10000
χ47222-2-2222-12-2-222-122-12-1-1-1-2-222-121-21-2-12-12-1-122-1-1-1-1-1-1-12-1-1-11-21-2-2-21-21111-2111-12-1-1-1-12-1-1-11-21111-211100002-22-20000000002-22-20000000000-11-110000-11-1100000000
χ48222-2-2222-12-2-222-122-12-1-1-1-2-222-121-21-2-12-12-1-122-1-1-1-1-1-1-12-1-1-11-21-2-2-21-21111-2111-12-1-1-1-12-1-1-11-21111-21110000-22-22000000000-22-2200000000001-11-100001-11-100000000
χ49222-2-222-122-2-2-1-122-1-1-12-1-111-1-122-2-2-2-22222-1-1-1-122-1-1-1-1-1-12-1-1-2-2-2-21111-21111-211-1-12-1-1-1-12-1-111-21111-21122-2-2000000002-2-22200000000-1-1-1-111000000000000000011-1-1
χ50222-2-222-122-2-2-1-122-1-1-12-1-111-1-122-2-2-2-22222-1-1-1-122-1-1-1-1-1-12-1-1-2-2-2-21111-21111-211-1-12-1-1-1-12-1-111-21111-211-2-22200000000-222-2-2000000001111-1-10000000000000000-1-111
χ51222-2-2-2-222-122222-122-1-1-1-1-2-2-2-22-1-21-21-21-2122-1-1-1-1-1-1-1-12-1-1-1-12-12-122-21111-21111-21111-211112-1-1-1-12-1-1-1-1000000002-2-220000000002-2-220000000000-111-10000-111-10000
χ52222-2-2-2-222-122222-122-1-1-1-1-2-2-2-22-1-21-21-21-2122-1-1-1-1-1-1-1-12-1-1-1-12-12-122-21111-21111-21111-211112-1-1-1-12-1-1-1-100000000-222-2000000000-222-200000000001-1-1100001-1-110000
χ53222-2-2-2-22-122222-122-12-1-1-1-2-2-2-2-121-21-21-21-2-1-122-1-1-1-1-1-1-12-1-1-1-12-12221-21111-21111-21111-2111-12-1-1-1-12-1-1-100002-2-220000000002-2-220000000000-111-10000-111-100000000
χ54222-2-2-2-22-122222-122-12-1-1-1-2-2-2-2-121-21-21-21-2-1-122-1-1-1-1-1-1-12-1-1-1-12-12221-21111-21111-21111-2111-12-1-1-1-12-1-1-10000-222-2000000000-222-200000000001-1-1100001-1-1100000000
χ55222-2-2-2-2-12222-1-122-1-1-12-1-1111122-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-12222-1-111-21111-21111-21111-211-1-12-1-1-1-12-1-12222000000002-2-2-2-200000000-1-1-1-1-1-100000000000000001111
χ56222-2-2-2-2-12222-1-122-1-1-12-1-1111122-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-12222-1-111-21111-21111-21111-211-1-12-1-1-1-12-1-1-2-2-2-200000000-22222000000001111110000000000000000-1-1-1-1
χ5722-22-22-222-12-2-2-22-122-1-1-1-12-22-2-212-1-212-1-21-2-2111111112-1-1-1-12-1-212-22-1-1-1-1-211112-1-1-1-1-211112-1-1-1-1-2111100000000222-2000000000-2-2-220000000000-1-1-110000111-10000
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χ1224-4000004440000-4-4-444444000000000000000000000000-4-4-4-4-4000000000000000000000000000000000000−4i4i00000000000000000000000−4i4i000000000000000000000000
χ1234-400000-24400−2i32i3-4-42-2-24-2-200000000000000−2i32i3−2i32i300−2i32i3−2i32i322-4220000000000000000000000000000000000004i−4i00000000000000000000000−2i2i23−230000000000000000000000
χ1244-400000-24400−2i32i3-4-42-2-24-2-200000000000000−2i32i3−2i32i300−2i32i3−2i32i322-422000000000000000000000000000000000000−4i4i000000000000000000000002i−2i−23230000000000000000000000
χ1254-400000-244002i3−2i3-4-42-2-24-2-2000000000000002i3−2i32i3−2i3002i3−2i32i3−2i322-4220000000000000000000000000000000000004i−4i00000000000000000000000−2i2i−23230000000000000000000000
χ1264-400000-244002i3−2i3-4-42-2-24-2-2000000000000002i3−2i32i3−2i3002i3−2i32i3−2i322-422000000000000000000000000000000000000−4i4i000000000000000000000002i−2i23−230000000000000000000000
χ1278-80000088-40000-84-88-4-4-4-4000000000000000000000000-84444000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8000008-4800004-8-8-48-4-4-40000000000000000000000004-8444000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-8000008-4-4000044-8-4-42220000000000000000006-66-6-6644-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-8000008-4-4000044-8-4-4222000000000000000000-66-666-644-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-800000-48-400−4i34i3-844-42-42200000000000000−4i34i32i3−2i3002i3−2i32i3−2i34-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-800000-48-4004i3−4i3-844-42-422000000000000004i3−4i3−2i32i300−2i32i3−2i32i34-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-800000-4-4800−4i34i34-842-4-422000000000000002i3−2i3−4i34i3002i3−2i32i3−2i3-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-800000-4-48004i3−4i34-842-4-42200000000000000−2i32i34i3−4i300−2i32i3−2i32i3-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-800000-4-4-400−4i34i3444222−1−3i3−1+3i3000000000000002i3−2i32i3−2i36-6−3−i33+i33−i3−3+i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-800000-4-4-400−4i34i3444222−1+3i3−1−3i3000000000000002i3−2i32i3−2i3-663−i3−3+i3−3−i33+i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-800000-4-4-4004i3−4i3444222−1−3i3−1+3i300000000000000−2i32i3−2i32i3-663+i3−3−i3−3+i33−i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-800000-4-4-4004i3−4i3444222−1+3i3−1−3i300000000000000−2i32i3−2i32i36-6−3+i33−i33+i3−3−i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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