Finite Group Databasebeta

← Group #72271252

Character table — Group #72271252

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222244444444444444444444466668888888888888888888888888888121212121212121212121212121216161616161616161616161616161616161616242424242424242424242424242424243232323248484848
order12222222223446662222444444466666612121212222222244444444444666612121212121212121212222222224444444444466612121212121212121212122222244444444444121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-11-1-1-1-1-1-111111111-1-111-111-1-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-11-1-11-1-1-1-111-1-11111111111111111-1-1-1-1-1-1111111111-1-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-111-1-11-1-111111-1-1-1-111-1-1
χ511111111111111111111-1-1111-1-111111111111111-111-111-1-111-1-1-1-11111-1-1111111-1-11111111111-1-1-1-1-111-1-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-111-1-11-1-1-1
χ611111111111111111111-1-1111-1-111111111111111-1-1-1-1-1-1111111-1-11111-1-1111111-1-1111111-1-1-1-11111-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-11-1-1
χ711111111111111111111-1-1111-1-11111111111-1-1-1-1-111-111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1111
χ811111111111111111111-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-111
χ91111111111111111-1-1-1-111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ101111111111111111-1-1-1-11111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111111111-1-1
χ111111111111111111-1-1-1-111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ121111111111111111-1-1-1-111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-11-1-11-1-1-1-11111-1-111
χ131111111111111111-1-1-1-1-1-1111-1-111111111111111-111-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11-1-111-111-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-111-1-111-1111
χ141111111111111111-1-1-1-1-1-1111-1-111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-11-111
χ151111111111111111-1-1-1-1-1-1111-1-11111111111-1-1-1-1-111-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-111-111-1-1-1-1111111111111-111-111-1-1-1-1111-1-1-1
χ161111111111111111-1-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1111111111111-1-1111111-1-11111-1-1-11-1-1
χ1711111111111-1-1111111111-1-1-111111111-1-1-1-111-1-1-11-1-11-11-1-1-11-111111111-1-1-1-1-1-111111-1-1-111111111-11-11-1-11-1-11-11-11-111-1-111-1-1-1-11-1-11-1-111111-11-1-1-11-1
χ1811111111111-1-1111111111-1-1-111111111-1-1-1-111-1-1-1-11-1-11-11-1-1-1111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-1-11-11-1111-1-111-1-1111-111-11-1-1-1-1-11-11111-1
χ1911111111111-1-1111111111-1-1-111111111-1-1-1-1-1-111-11-1-11-11-1-1-11-111111111-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-1-1-1-11-11-1-11-1-11-11-11-111-1-1-1-11111-111-111-1-1-1-11-11-111-11
χ2011111111111-1-1111111111-1-1-111111111-1-1-1-1-1-111-1-11-1-11-11-1-1-1111111111-1-1-1-1-1-111-1-1-111111111111-1-11-11-1-11-1-11-11-1111-1-1-1-111-1-1-11-1-11-11111-11-11-1-1-11
χ2111111111111-1-11111111-1-1-1-1-1-1-1111111-1-1-1-111-1-111-111-1-11-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-111-1-1111-111-1-11-11-1-11111-1-111-11-1-11-111-1-11-1-11-11-11
χ2211111111111-1-11111111-1-1-1-1-1-1-1111111-1-1-1-111-1-11-111-111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111111-111-11-111-111-11-1-1-11111-1-1-1-1-111-111-1-111-111-11-1-11
χ2311111111111-1-11111111-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-111-1-11-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1111-111-1-11-11-1-111-1-111-1-11-111-11-1-1111-1-111-11-1
χ2411111111111-1-11111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-111-111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-111-11-111-111-11-1-1-111-1-111111-1-11-1-111-1-1-111-1-111-1
χ2511111111111-1-1111-1-1-1-111-1-1-111111111-1-1-1-111-1-1-11-1-11-11-1111-1-1-1-1-1-1-111-1-1111111111-1-1-1111111111-11-11-11-1-11-11-11-1-1-111-1-111-1-11-1-11-1-1-1-1-1-1-11-1111-11
χ2611111111111-1-1111-1-1-1-111-1-1-111111111-1-1-1-111-1-1-1-11-1-11-1111-11-1-1-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11-1-11-11-11-1-111-1-111111-111-1111111-11-1-1-1-11
χ2711111111111-1-1111-1-1-1-111-1-1-111111111-1-1-1-1-1-111-11-1-11-11-1111-1-1-1-1-1-1-111-1-1111111-1-1-1111-1-1-1-1-1-1-1-11-11-11-11-1-11-11-11-1-1-11111-1-111-111-1111111-11-11-1-11-1
χ2811111111111-1-1111-1-1-1-111-1-1-111111111-1-1-1-1-1-111-1-11-1-11-1111-11-1-1-1-1-1-111-1-1111111-1-1-11111111111111-11-1-1-11-1-11-11-11-1-11111-1-1-1-1-11-1-11-1-1-1-1-11-11-1111-1
χ2911111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-111-1-1111-1111-1-1-1-1-1-1-1-11111-1-1111-1-1-11111-1-1-1-1-1-111-111-111-1-11-1111-1-1-1-11111-11-1-11-1-1-111-111-11-11-1
χ3011111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11-111-111-1111-111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1-1-11111-11-1-111-111-111-11-111-1-1-1-111-1-1-111-11111-1-11-1-11-111-1
χ3111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-111-1-1111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-111-111-111-1-11-1111-1-111-1-1-1-11-111-1111-1-1-111-1-11-11
χ3211111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-111-111-1111-111-1-1-1-1-1-1-1-11111-1-1-1-1-11111111-1-1-1-1-11-1-111-111-111-11-111-1-111-1-1111-1-11-1-1-1-1111-1-111-1-11
χ332222222222-122-1-1-122222222222-1-1-1-1-1-1-1-1-1-1000022222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-10000
χ342222222222-122-1-1-122222222222-1-1-1-1-1-1-1-1-1-100002-2-22-2-2-2-222-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000002-2-2-2-2-111-1111111-1-1-1-1000000000000000011110000
χ352222222222-122-1-1-12222-2-2222-2-2-1-1-1-1-1-1-1-1-1-10000-222-222-2-222-2-2-2-2-1-1-1-111-1-1-1-1-1-11100000000000000-222-2-21-1-11-1-1111111110000000000000000-1-1110000
χ362222222222-122-1-1-12222-2-2222-2-2-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2222222-2-2-1-1-1-111-1-1-1-1-1-11100000000000000-2-2-222111111-1-1-1-11111000000000000000011-1-10000
χ372222222222-122-1-1-1-2-2-2-22222222-1-1-1-1-1-1-1-1-1-1000022222222-2-222-2-21111-1-1-1-11111-1-100000000000000-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111000000000000000011110000
χ382222222222-122-1-1-1-2-2-2-22222222-1-1-1-1-1-1-1-1-1-100002-2-22-2-2-2-2-2-2-2-2-2-21111-1-1-1-11111-1-100000000000000-22222-111-111111111110000000000000000-1-1-1-10000
χ392222222222-122-1-1-1-2-2-2-2-2-2222-2-2-1-1-1-1-1-1-1-1-1-10000-222-222-2-2-2-2-2-222111111-1-1111111000000000000002-2-2221-1-11-1-11111-1-1-1-1000000000000000011-1-10000
χ402222222222-122-1-1-1-2-2-2-2-2-2222-2-2-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-222-2-22222111111-1-111111100000000000000222-2-2111111-1-1-1-1-1-1-1-10000000000000000-1-1110000
χ412222222222-1-2-2-1-1-1222222-2-2-222-1-1-1-1-1-111110000-22-2-22-22-2-2-22-222-1-1-1-1-1-1111111-1-100000000000000-22-22-21-111-11-11-11-1-1110000000000000000-11-110000
χ422222222222-1-2-2-1-1-1222222-2-2-222-1-1-1-1-1-111110000-2-22-2-22-22-2-2-2222-1-1-1-1-1-1111111-1-100000000000000-2-22-2211-111-11-11-1-1-11100000000000000001-11-10000
χ432222222222-1-2-2-1-1-12222-2-2-2-2-2-2-2-1-1-1-1-1-11111000022-222-2-22-2-2-22-2-2-1-1-1-111111111110000000000000022-2-22-1-11-1-111-11-111-1-10000000000000000-111-10000
χ442222222222-1-2-2-1-1-12222-2-2-2-2-2-2-2-1-1-1-1-1-1111100002-222-222-2-2-22-2-2-2-1-1-1-11111111111000000000000002-222-2-11-1-11-1-11-1111-1-100000000000000001-1-110000
χ452222222222-1-2-2-1-1-1-2-2-2-222-2-2-222-1-1-1-1-1-111110000-22-2-22-22-2222-2-2-21111-1-111-1-1-1-1-1-1000000000000002-22-221-111-11-11-1111-1-100000000000000001-11-10000
χ462222222222-1-2-2-1-1-1-2-2-2-222-2-2-222-1-1-1-1-1-111110000-2-22-2-22-2222-22-2-21111-1-111-1-1-1-1-1-10000000000000022-22-211-111-11-11-111-1-10000000000000000-11-110000
χ472222222222-1-2-2-1-1-1-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-11111000022-222-2-2222-222211111111-1-1-1-11100000000000000-2-222-2-1-11-1-111-11-1-1-11100000000000000001-1-110000
χ482222222222-1-2-2-1-1-1-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1111100002-222-222-2222-22211111111-1-1-1-11100000000000000-22-2-22-11-1-11-1-11-11-1-1110000000000000000-111-10000
χ4922222-2-2-2-222222220000222-2-2-2-2-2-222-2-222222222-20020000000000000022-2-20000-2-22-2-22-2-20000000000000-20020000000000000000220-2-20000000000000
χ5022222-2-2-2-222222220000222-2-2-2-2-2-222-2-22222-2-2-2-2-20020000000000000022-2-20000-2-2-222-2220000000000000-20020000000000000000-2-20220000000000000
χ5122222-2-2-2-222222220000-2-22-2-222-2-222-2-222222222200-200000000000000-2-2-2-20000222-2-22-2-20000000000000200-20000000000000000-2-20220000000000000
χ5222222-2-2-2-222222220000-2-22-2-222-2-222-2-22222-2-2-2-2200-200000000000000-2-2-2-2000022-222-2220000000000000200-20000000000000000220-2-20000000000000
χ5322222-2-2-2-222-2-2222000022-222-2-2-2-222-2-2-2-2-2-222-2-2200-20000000000000022220000-2-22-2-2-2220000000000000200-200000000000000002-20-220000000000000
χ5422222-2-2-2-222-2-2222000022-222-2-2-2-222-2-2-2-2-2-2-2-222200-20000000000000022220000-2-2-2222-2-20000000000000200-20000000000000000-2202-20000000000000
χ5522222-2-2-2-222-2-22220000-2-2-22222-2-222-2-2-2-2-2-222-2-2-200200000000000000-2-2220000222-2-2-2220000000000000-20020000000000000000-2202-20000000000000
χ5622222-2-2-2-222-2-22220000-2-2-22222-2-222-2-2-2-2-2-2-2-222-200200000000000000-2-222000022-2222-2-20000000000000-200200000000000000002-20-220000000000000
χ572222-22-22-2-2222222000000-22-2002-2-2-22-222-2-222220000002200-2-2000000002-2000000-22-2-22-2000022-2-20000000000022-2-200000000-22000000000000000000
χ582222-22-22-2-2222222000000-22-2002-2-2-22-222-2-22222000000-2-20022000000002-2000000-22-2-22-20000-2-22200000000000-2-222000000002-2000000000000000000
χ592222-22-22-2-2222222000000-22-2002-2-2-22-222-2-2-2-2-2-20000002200-2-2000000002-20000002-222-220000-2-2220000000000022-2-2000000002-2000000000000000000
χ602222-22-22-2-2222222000000-22-2002-2-2-22-222-2-2-2-2-2-2000000-2-20022000000002-20000002-222-22000022-2-200000000000-2-22200000000-22000000000000000000
χ612222-22-22-2-22-2-22220000002-22002-2-2-22-2-2-22222-2-20000002-200-2200000000-22000000-22-22-22000022-2-2000000000002-2-22000000002-2000000000000000000
χ622222-22-22-2-22-2-22220000002-22002-2-2-22-2-2-22222-2-2000000-22002-200000000-22000000-22-22-220000-2-22200000000000-222-200000000-22000000000000000000
χ632222-22-22-2-22-2-22220000002-22002-2-2-22-2-2-222-2-2220000002-200-2200000000-220000002-22-22-20000-2-222000000000002-2-2200000000-22000000000000000000
χ642222-22-22-2-22-2-22220000002-22002-2-2-22-2-2-222-2-222000000-22002-200000000-220000002-22-22-2000022-2-200000000000-222-2000000002-2000000000000000000
χ652222-2-22-22-2222222000000-2-2200-22-2-2-2222-2-222220220-2-200000000000000-22000000-2-22-2-2222-2-20000000000220-2-20000000000000000-2002000000000000
χ662222-2-22-22-2222222000000-2-2200-22-2-2-2222-2-222220-2-202200000000000000-22000000-2-22-2-22-2-2220000000000-2-20220000000000000000200-2000000000000
χ672222-2-22-22-2222222000000-2-2200-22-2-2-2222-2-2-2-2-2-20220-2-200000000000000-2200000022-222-2-2-2220000000000220-2-20000000000000000200-2000000000000
χ682222-2-22-22-2222222000000-2-2200-22-2-2-2222-2-2-2-2-2-20-2-202200000000000000-2200000022-222-222-2-20000000000-2-20220000000000000000-2002000000000000
χ692222-2-22-22-22-2-222200000022-200-22-2-2-22-2-22222-2-202-20-22000000000000002-2000000-2-2222-222-2-200000000002-20-220000000000000000200-2000000000000
χ702222-2-22-22-22-2-222200000022-200-22-2-2-22-2-22222-2-20-2202-2000000000000002-2000000-2-2222-2-2-2220000000000-2202-20000000000000000-2002000000000000
χ712222-2-22-22-22-2-222200000022-200-22-2-2-22-2-222-2-22202-20-22000000000000002-200000022-2-2-22-2-22200000000002-20-220000000000000000-2002000000000000
χ722222-2-22-22-22-2-222200000022-200-22-2-2-22-2-222-2-2220-2202-2000000000000002-200000022-2-2-2222-2-20000000000-2202-20000000000000000200-2000000000000
χ7322-2-222-2-22-22002-2-222-2-22i−2i0002i−2i2-22-2-22000000000000000000002i−2i22-2-22i−2i0000002i−2i0000002-22-22i−2i2i−2i0000000000000002i−2i000000000000002-22i−2i00000000
χ7422-2-222-2-22-22002-2-222-2-22i−2i0002i−2i2-22-2-22000000000000000000002i−2i22-2-22i−2i0000002i−2i000000-22-22−2i2i−2i2i0000000000000002i−2i00000000000000-22−2i2i00000000
χ7522-2-222-2-22-22002-2-222-2-2−2i2i000−2i2i2-22-2-2200000000000000000000−2i2i22-2-2−2i2i000000−2i2i0000002-22-2−2i2i−2i2i000000000000000−2i2i000000000000002-2−2i2i00000000
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Here i is the imaginary unit (i² = −1).