Finite Group Databasebeta

← Group #13181304

Character table — Group #13181304

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11222222222333333444444444444444666666666666666666666888888888889999991212121212121212121212121212121212121212121212121616161818181818181818181818181818182424242424242424242727363636363636363636545454
order123334446664444443336661212121212121212122222222221212121212121212121212123612121212121212121222222266666666666666666612121212121212121244444444466666666666666644121212121212121212222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-1111111111111111111111-1-1-111111111-1-1-1-11111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1
χ31111111111111-1-111111111111111111111-1-1-11111111-1-1-1-1111111111111111-1-111-1-1111111-1-1-1-1-1-111111111-1-111111-1-1-1111-1-1-1-1-111-1-1111-1-1-1111-1-1-1-1-1111-1-1-1-1-1-1
χ41111111111111-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1111111
χ511111111111-1-11111111111111111111-1-1-1111111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-11111111-1-1-1-1-1-1111-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1
χ611111111111-1-111-1-1111111111111111-1-1-1111-1-1-1-1-1-1-11111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111-1-1-1111-1-1-1-1-111-1-1-1-1-1111-1-1-111-1-1-1111-1-1-1111
χ711111111111-1-1-1-111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111
χ811111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1
χ9111111-1-1111111111111111111-1-1-1-1-1-11-1-11-1-11-1-111111111111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111111-1-11-1-11-1-11-1-11111111-1-11-1-11-1-1111-1-11-1-11-1-11-1-1
χ10111111-1-11111111-1-1111111111-1-1-1-1-1-11-1-11-1-1-11111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-11-1-11-1-1-111-11111-1-1-1-11-1-11-1-1-111-1-11-1-1-111-111-111
χ11111111-1-111111-1-111111111111-1-1-1-1-1-11-1-1-1111-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1111-1-1-1111-1-1-111-1-111-1-11-1-1-1111-1-1-1-1-1111-1-1-111-111
χ12111111-1-111111-1-1-1-1111111111-1-1-1-1-1-11-1-1-111-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-11-1-1-111-1111-1-1-1-1-1-1111-1-1-111-11111-111-1111-1-11-1-1
χ13111111-1-1111-1-11111111111111-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-111111-1-1-111-1111-1-1-1-1-1-111-1111-1-11-1-1-1-1-111-1111-1-1-111
χ14111111-1-1111-1-111-1-1111111111-1-1-1-1-1-1-1111-1-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-11-1-1-1111-1-1-111-1-111-1-1-1111-1-1-11111-1111-1-1-1111-1-1
χ15111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-111-1111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-11-1-1-111-11111-1-1-1-1-111-1111-1-1111-1-1-111-1111-1-1
χ16111111-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-111-111-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-11111-1-11111-1-11111-1-1-1-1-1-11-1-11-1-11-1-11-1-1111111-111-111-111-1-11-1-11-1-11-1-1-111
χ1711111-11-1111111111111111-1-1-1111-1-1-1-11-1-11-1-11-111111111111111-1-1-1111-1-1-1111111-1-111-1-1-1-111-1-1-1-111-1-1111111-11-1-11-1-11-1-11-1111111-11-1-11-1-11-111-11-1-11-1-11-1-11-1
χ1811111-11-11111111-1-1111111-1-1-1111-1-1-1-11-1-11-11-1111111111-1-1-1-111-1-1-1111-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1-11-1-11-11-111-1111-1-1-1-1-11-1-11-11-11-1-1-11-11-111-111-11
χ1911111-11-111111-1-111111111-1-1-1111-1-1-1-11-11-11-11-11111-1-1-1-1111111-1-1-1111-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-11-11-11-11-11-11-1-111-1-1-11-11-11-11-1-1-11-11-11-11-111-11
χ2011111-11-111111-1-1-1-1111111-1-1-1111-1-1-1-11-11-111-111111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-11111-1-1-1-1-11-11-111-11-11-1-1-1-1-111-11-11-111-11111-111-11-11-1-11-1
χ2111111-11-1111-1-11111111111-1-1-1111-1-1-11-11-11-1-11-1-1-1-1-11111111111-1-1-1111-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-11111-11-11-111-11-11-1-1-1-1-1111-11-11-1-11-1-1-11-111-11-11-11-11
χ2211111-11-1111-1-111-1-1111111-1-1-1111-1-1-11-11-11-11-11-1-1-1-11111-1-1-1-111-1-1-1111-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-11-11-11-11-11-11-1-111-1-11-11-11-11-11111-11-11-11-11-11-1
χ2311111-11-1111-1-1-1-111111111-1-1-1111-1-1-11-111-11-11-1-1-1-1-1-1-1-1-1111111-1-1-1111-1-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-111-11-1-11-11-111-1111-1-1-1-11-111-11-11-111-11-11-111-11-11-1
χ2411111-11-1111-1-1-1-1-1-1111111-1-1-1111-1-1-11-111-111-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-111111111-1-11111-1-11111-1-111-1-1-1-1-1-1-11-1-11-1-11-1-11-11111111-111-111-11-1-1-11-1-11-1-11-11-11
χ2511111-1-11111111111111111-1-1-1-1-1-1111-1-11-1-11-1-1111111111111111-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-11-1-11-1-11-1-11111111-1-11-1-11-1-1111-1-11-1-11-1-11-1-11
χ2611111-1-111111111-1-1111111-1-1-1-1-1-1111-1-11-1-1111-111111111-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-11-1-1111-111-111-1-1-1-1-1-11-1-1111-1-1-1-1-1111-111-111-1
χ2711111-1-1111111-1-111111111-1-1-1-1-1-1111-1-1111-1-1-111111-1-1-1-1111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1111-1-1-1111-1-1-111-1-1-1-1111-1-1-11-1-111-1-1-1111-111-1
χ2811111-1-1111111-1-1-1-1111111-1-1-1-1-1-1111-1-1111-111-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-1111-111-1-1-11-1-1-1-111-1-1111-111-11111-111-1-1-11-1-11
χ2911111-1-11111-1-11111111111-1-1-1-1-1-111111-1-1-11-1-11-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1111-111-1-1-11-1-1-1-11111-1-1-11-1-11-1-111-111-1-1-1111-1
χ3011111-1-11111-1-111-1-1111111-1-1-1-1-1-111111-1-1-1111-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-1-1111-1-1-111-1-111-1-1-1111-11111-1-1-1111-1-1-11
χ3111111-1-11111-1-1-1-111111111-1-1-1-1-1-111111-111-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-11-1-1111-111-111-1-1-1-111-111-1-1-1111-1-1111-111-1-1-11
χ3211111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-1111111111-111-111-1-1-1-1-11-1-11-1-1111-1
χ332222-122222-10022222-1-12-1-122-122-122-1000222222000022-1-122-1-1-1-12-1-12-1-12-1-10000220000002-12-12-12-12-12-100-1-1-1-1-1-1-10000002220000-1-1000-1-1-1-1-1-100000000-1-1-1000
χ342222-122222-10022-2-22-1-12-1-122-122-122-1000222-2-2-2000022-1-1-2-211-1-12-1-12-1-12-1-10000-2-20000002-12-12-1-21-21-2100-1-111-1-1-1000000-2-2-2000011000-1-1-111100000000111000
χ352222-122222-100-2-2222-1-12-1-122-122-122-1000-2-2-22220000-2-21122-1-1-1-12-1-12-1-12-1-10000-2-2000000-21-21-212-12-12-10011-1-1-1-1-1000000-2-2-2000011000111-1-1-100000000111000
χ362222-122222-100-2-2-2-22-1-12-1-122-122-122-1000-2-2-2-2-2-20000-2-211-2-211-1-12-1-12-1-12-1-1000022000000-21-21-21-21-21-21001111-1-1-10000002220000-1-100011111100000000-1-1-1000
χ372222-12-2-222-10022222-1-12-1-122-1-2-21-2-210002-2-22-2-2000022-1-122-1-1-1-12-1-1-211-2110000220000002-1-21-212-1-21-2100-1-1-1-1-1110000002-2-20000-1-1000-111-11100000000-111000
χ382222-12-2-222-10022-2-22-1-12-1-122-1-2-21-2-210002-2-2-222000022-1-1-2-211-1-12-1-1-211-2110000-2-20000002-1-21-21-212-12-100-1-111-111000000-222000011000-1111-1-1000000001-1-1000
χ392222-12-2-222-100-2-2222-1-12-1-122-1-2-21-2-21000-2222-2-20000-2-21122-1-1-1-12-1-1-211-2110000-2-2000000-212-12-12-1-21-210011-1-1-111000000-2220000110001-1-1-111000000001-1-1000
χ402222-12-2-222-100-2-2-2-22-1-12-1-122-1-2-21-2-21000-222-2220000-2-211-2-211-1-12-1-1-211-211000022000000-212-12-1-212-12-1001111-1110000002-2-20000-1-10001-1-11-1-100000000-111000
χ412222-1-22-222-10022222-1-12-1-1-2-2122-1-2-21000-22-2-22-2000022-1-122-1-1-1-1-2112-1-1-211000022000000-212-1-21-212-1-2100-1-1-1-11-11000000-22-20000-1-10001-111-11000000001-11000
χ422222-1-22-222-10022-2-22-1-12-1-1-2-2122-1-2-21000-22-22-22000022-1-1-2-211-1-1-2112-1-1-2110000-2-2000000-212-1-212-1-212-100-1-1111-110000002-220000110001-11-11-100000000-11-1000
χ432222-1-22-222-100-2-2222-1-12-1-1-2-2122-1-2-210002-22-22-20000-2-21122-1-1-1-1-2112-1-1-2110000-2-20000002-1-212-1-212-1-210011-1-11-110000002-22000011000-11-11-1100000000-11-1000
χ442222-1-22-222-100-2-2-2-22-1-12-1-1-2-2122-1-2-210002-222-220000-2-211-2-211-1-1-2112-1-1-2110000220000002-1-212-12-1-212-10011111-11000000-22-20000-1-1000-11-1-11-1000000001-11000
χ452222-1-2-2222-10022222-1-12-1-1-2-21-2-2122-1000-2-22-2-22000022-1-122-1-1-1-1-211-2112-1-1000022000000-21-212-1-21-212-100-1-1-1-111-1000000-2-220000-1-100011-111-10000000011-1000
χ462222-1-2-2222-10022-2-22-1-12-1-1-2-21-2-2122-1000-2-2222-2000022-1-1-2-211-1-1-211-2112-1-10000-2-2000000-21-212-12-12-1-2100-1-11111-100000022-200001100011-1-1-1100000000-1-11000
χ472222-1-2-2222-100-2-2222-1-12-1-1-2-21-2-2122-100022-2-2-220000-2-21122-1-1-1-1-211-2112-1-10000-2-20000002-12-1-21-21-212-10011-1-111-100000022-2000011000-1-1111-100000000-1-11000
χ482222-1-2-2222-100-2-2-2-22-1-12-1-1-2-21-2-2122-100022-222-20000-2-211-2-211-1-1-211-2112-1-10000220000002-12-1-212-12-1-2100111111-1000000-2-220000-1-1000-1-11-1-110000000011-1000
χ49222-122222-12220022-12-1-12-12-122-122-1222200022222-1-10000-1-122-1-1-12-1-12-1-12-10022002-12-12-1000000-12-12-12-1-100-1-1-1-1-100022200000-1-100-1-1-1000-1-1-100000-1-1-1000000
χ50222-122222-122200-2-2-12-1-12-12-122-122-12222000-2-2-222-1-1000011-2-2-1-1-12-1-12-1-12-100-2-2002-12-12-10000001-21-21-2-1-10011-1-1-1000-2-2-2000001100-1-1-100011100000111000000
χ51222-122222-12-2-20022-12-1-12-12-122-122-12-2-2-2000222-2-2110000-1-122-1-1-12-1-12-1-12-100-2-200-21-21-21000000-12-12-121100-1-1-1-1-1000-2-2-2000001100111000-1-1-100000111000000
χ52222-122222-12-2-200-2-2-12-1-12-12-122-122-12-2-2-2000-2-2-2-2-211000011-2-2-1-1-12-1-12-1-12-1002200-21-21-210000001-21-21-2110011-1-1-100022200000-1-10011100011100000-1-1-1000000
χ53222-122-2-22-12220022-12-1-12-12-12-21-2-21-22-2-20002-2-222-1-10000-1-122-1-1-12-11-211-210022002-1-21-21000000-121-21-2-1-100-1-1-1110002-2-200000-1-100-111000-11100000-111000000
χ54222-122-2-22-122200-2-2-12-1-12-12-12-21-2-21-22-2-2000-22222-1-1000011-2-2-1-1-12-11-211-2100-2-2002-1-21-210000001-2-12-12-1-10011-111000-222000001100-1110001-1-1000001-1-1000000
χ55222-122-2-22-12-2-20022-12-1-12-12-12-21-2-21-2-2220002-2-2-2-2110000-1-122-1-1-12-11-211-2100-2-200-212-12-1000000-121-21-21100-1-1-111000-2220000011001-1-1000-111000001-1-1000000
χ56222-122-2-22-12-2-200-2-2-12-1-12-12-12-21-2-21-2-222000-222-2-211000011-2-2-1-1-12-11-211-21002200-212-12-10000001-2-12-12110011-1110002-2-200000-1-1001-1-10001-1-100000-111000000
χ57222-12-22-22-12220022-12-1-12-1-21-22-12-21-2-22-2000-22-222-1-10000-1-122-1-11-21-12-11-21002200-212-1-210000001-2-121-2-1-100-1-11-11000-22-200000-1-1001-110001-11000001-11000000
χ58222-12-22-22-122200-2-2-12-1-12-1-21-22-12-21-2-22-20002-2222-1-1000011-2-2-1-11-21-12-11-2100-2-200-212-1-21000000-121-2-12-1-100111-110002-220000011001-11000-11-100000-11-1000000
χ59222-12-22-22-12-2-20022-12-1-12-1-21-22-12-21-22-22000-22-2-2-2110000-1-122-1-11-21-12-11-2100-2-2002-1-212-10000001-2-121-21100-1-11-110002-22000001100-11-10001-1100000-11-1000000
χ60222-12-22-22-12-2-200-2-2-12-1-12-1-21-22-12-21-22-220002-22-2-211000011-2-2-1-11-21-12-11-210022002-1-212-1000000-121-2-121100111-11000-22-200000-1-100-11-1000-11-1000001-11000000
χ61222-12-2-222-12220022-12-1-12-1-21-2-21-22-12-2-22000-2-2222-1-10000-1-122-1-11-211-21-12-1002200-21-212-10000001-21-2-12-1-100-1-111-1000-2-2200000-1-10011-100011-10000011-1000000
χ62222-12-2-222-122200-2-2-12-1-12-1-21-2-21-22-12-2-2200022-222-1-1000011-2-2-1-11-211-21-12-100-2-200-21-212-1000000-12-121-2-1-1001111-100022-200000110011-1000-1-1100000-1-11000000
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Here i is the imaginary unit (i² = −1).