Finite Group Databasebeta

← Group #72255556

Character table — Group #72255556

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111122222222222222333344444444444444444444444466666666668888888888888888888888888888121212121212121212121212121216161616161616161616161616161616161624242424242424242424242424243232323248484848
order1222222222222236664444222244444444446666666666444444444422244444444444666612121212121212121212222222222244444444666121212121212121212121222244444444444121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-11-1-111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-11111111111111111111111111111-11-111-1-1-11-1-1-1-1-111-1-1-1-111111111-1-11111111111-1-111-1-1-11-111-1-1-11-1-1-1-1-1-11-111-1-1-11-1-1-1-1-111-1-111-1-1
χ6111111111111111111111111-1-1-1-11111111111111111111111111111-1-11-1-111-1-11-1-1-1-111-1-1-1-111111111-1-11111111111-1-1-1-111-1-11-1-111-1-11-1-1-1-1-1-11-1-111-1-11-1-1-1-1-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-11-111-1-1-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11-111-1-1-11-11111-11-111-1-1-11-11111-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-111-1-111111-1-11-1-111-1-11111111-1-111-1-1
χ9111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ10111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-11111-1111111-111-1-1-1-1-1-1-1-11111
χ11111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ12111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-11-1-1-1-1-1-1-1111111-11111111111-1-1-1-1
χ13111111111111111111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11-111-1-1-11-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-111-1-1-11-1-1-1-1-11-11-1-1111-11111111-1-1-1-111
χ14111111111111111111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11-1-111-1-11-1-1-1-111-111-1-111-11111-1-11111-1-1
χ15111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-111-1-1-11-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-11-111-1-1-11-111111-11-1-1111-11-1-1-1-1-1-11111-1-1
χ16111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11-1-111-1-11111111-111-1-111-1-1-1-1-111-1-1-1-111
χ1711111-1-1-1-11111111111111-1-111111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1111-11-1-111-1-1-1-1-11111-1-1-111-1-1-1-1-11111-1-11-11-11-11-1
χ1811111-1-1-1-11111111111111-1-111111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-11111-1-1-111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-11-11-1-1-11111-1-1-111-1-1-1-1-11111-1-1-111-1-1-11-11-11-11
χ1911111-1-1-1-11111111111111-1-11111-1-1-1-111111-1-1-1-111111111111-1-1-1-1-111-1-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-11111-1-111-11-11-111-1-1-1-1-111-1-111-111-1-1-1-1-111-1-111-11-11-11-11
χ2011111-1-1-1-11111111111111-1-11111-1-1-1-111111-1-1-1-111111111111-1-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-11111-1-1111-11-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-1-1-1111-11-11-11-1
χ2111111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-11-1-1-1-111111111111-1-1-1-111-1-1-11111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-11111-1-1-11111-1-1-11111-1-1-1111-1-111-1-11
χ2211111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-11-1-1-1-111111111111-1-1-1-11-1111-1-11-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1111-1-11-11-1-1111-1111-1-11-11-1-111-111-1-111-1
χ2311111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111111-1-1-1-111-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-111-111-1-1-11111-111-1-111-1-1-11111-111-1-1-111-1-111-1
χ2411111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111111-1-1-1-11-1111-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-1-111-1111-1-11-1111-1-11-1111-1-11-1111-1-11-1-111-1-11
χ2511111-1-1-1-1111111111-1-1-1-1-1-111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-11111-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-11-11-1-111-1-1-1-1-11111-1-11-1-111111-1-1-1-1111-11-1-11-11
χ2611111-1-1-1-1111111111-1-1-1-1-1-111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-11111-1-1-11111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-11-11-1-1-11111-1-1-111-1-1111-1-1-1-1111-1-111-11-111-11-1
χ2711111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-111111-1-1-1-1-1-11111-111-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-11-11-111-1-1-1-1-111-1-1111-1-111111-1-111-1-1-11-111-11-1
χ2811111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-111111-1-1-1-1-1-11111-1-1-11111-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-11-11-1-1-1-11111-1-1-1-1-111111-1-1-1-111111-1-11-11-1-11-11
χ2911111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1111111-1-1-11111-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111-1-1111-1-1-11111-1-1-111-1-1111-1-1-1-1111-1-11-1-11-111-1
χ3011111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-111111-1-1-1-1-1-111111-1111-1-11-11-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-111-11-1111-1-11-11-1-111-11-1-1-111-11-111-1-1-111-11-1-11
χ3111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-111-111-1-1-11111-111-1-1-1-1111-1-1-1-11-1-111-111-11-1-11
χ3211111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-111111-1111-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111-1-111-1111-1-11-1111-1-1-11-1-1-111-11-1-1-1111-1-11-111-1
χ3322222222222222-1-1-1-1000022222222222222-1-1-1-1-1-1-1-1-1-1000000000022222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-1-1-1-10000
χ3422222222222222-1-1-1-1000022222222222222-1-1-1-1-1-1-1-1-1-100000000002-2-2-2-2-2-22-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-2-1111111-111-1-1-1-10000000000000011110000
χ3522222222222222-1-1-1-10000222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-100000000002222222222-2-2-2-2-1-1-1-1-1-11111111100000000000000-2-2-2-2-1-1-1-1-1-1-1-1-1-111110000000000000011110000
χ3622222222222222-1-1-1-10000222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-100000000002-2-2-2-2-2-22-2-2-2-2-2-2-1-1-1-1-1-111111111000000000000002222-1111111-111111100000000000000-1-1-1-10000
χ3722222222222222-1-1-1-1000022-2-2-2-222222222-1-1-1-1-1-1-1-1-1-10000000000-22-222-2-2-22-2-2-2-2-2-1-11111-1-1-1-1-1-1-1-10000000000000022-2-21-11-1-1111-11111100000000000000-1-1110000
χ3822222222222222-1-1-1-1000022-2-2-2-222222222-1-1-1-1-1-1-1-1-1-10000000000-2-22-2-222-2-22-2-2-2-2-1-11111-1-1-1-1-1-1-1-100000000000000-2-22211-111-1-111-111110000000000000011-1-10000
χ3922222222222222-1-1-1-1000022-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000000000-22-222-2-2-22-22222-1-111111111111100000000000000-2-2221-11-1-1111-11-1-1-1-10000000000000011-1-10000
χ4022222222222222-1-1-1-1000022-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000000000-2-22-2-222-2-222222-1-11111111111110000000000000022-2-211-111-1-111-1-1-1-1-100000000000000-1-1110000
χ41222222222-2-2-2-2222222222-2-222-2-20000000022222-2-2-2-2222-2-2-2-222222000000-2000000-2-222-2-200000000-2-200000000-2-22200002000000-2000000-2000000200000000000000
χ42222222222-2-2-2-2222222222-2-2-2-2220000000022222-2-2-2-2222-2-2-2-22222-20000002000000-2-2-2-222000000002200000000-2-2-2-20000-200000020000002000000-200000000000000
χ43222222222-2-2-2-222222-2-2-2-2-2-222-2-20000000022222-2-2-2-22-2-22222-2-2-2-22000000-2000000-2-222-2-200000000220000000022-2-200002000000-20000002000000-200000000000000
χ44222222222-2-2-2-222222-2-2-2-2-2-2-2-2220000000022222-2-2-2-22-2-22222-2-2-2-2-20000002000000-2-2-2-22200000000-2-20000000022220000-20000002000000-2000000200000000000000
χ4522222-2-2-2-222222-1-1-1-10000-2-222222222-2-2-2-2-11111-1-1-1-1-10000000000-222-2-2-2-2-22222-2-211-1-1-1-1-1-1-1-11111000000000000002-22-21-1-111111-1-1-1-11100000000000000-11-110000
χ4622222-2-2-2-222222-1-1-1-10000-2-222222222-2-2-2-2-11111-1-1-1-1-10000000000-2-2-22222-2-2-222-2-211-1-1-1-1-1-1-1-1111100000000000000-22-22111-1-1-1-1111-1-111000000000000001-11-10000
χ4722222-2-2-2-222222-1-1-1-10000-2-22222-2-2-2-22222-11111-1-1-1-1-10000000000-222-2-2-2-2-222-2-22211-1-1-1-11111-1-1-1-100000000000000-22-221-1-111111-1-111-1-1000000000000001-11-10000
χ4822222-2-2-2-222222-1-1-1-10000-2-22222-2-2-2-22222-11111-1-1-1-1-10000000000-2-2-22222-2-2-2-2-22211-1-1-1-11111-1-1-1-1000000000000002-22-2111-1-1-1-111111-1-100000000000000-11-110000
χ4922222-2-2-2-222222-1-1-1-10000-2-2-2-2-2-22222-2-2-2-2-11111-1-1-1-1-1000000000022-2-2-22222-2-2-222111111-1-1-1-11111000000000000002-2-22-1-1111-1-1-1-1111-1-100000000000000-111-10000
χ5022222-2-2-2-222222-1-1-1-10000-2-2-2-2-2-22222-2-2-2-2-11111-1-1-1-1-100000000002-2222-2-22-22-2-222111111-1-1-1-1111100000000000000-222-2-11-1-1-111-11-111-1-1000000000000001-1-110000
χ5122222-2-2-2-222222-1-1-1-10000-2-2-2-2-2-2-2-2-2-22222-11111-1-1-1-1-1000000000022-2-2-22222-222-2-21111111111-1-1-1-100000000000000-222-2-1-1111-1-1-1-11-1-111000000000000001-1-110000
χ5222222-2-2-2-222222-1-1-1-10000-2-2-2-2-2-2-2-2-2-22222-11111-1-1-1-1-100000000002-2222-2-22-2222-2-21111111111-1-1-1-1000000000000002-2-22-11-1-1-111-11-1-1-11100000000000000-111-10000
χ5322222-2-2-2-2-2-2-2-22222222222222-2-2000000002-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-200000020000002222-2-200000000-2-20000000022220000-200000020000002000000-200000000000000
χ5422222-2-2-2-2-2-2-2-222222222222-2-222000000002-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-22000000-200000022-2-22200000000220000000022-2-200002000000-2000000-2000000200000000000000
χ5522222-2-2-2-2-2-2-2-222222-2-2-2-22222-2-2000000002-2-2-2-2-2-2-2-22-2-222222222-200000020000002222-2-2000000002200000000-2-2-2-20000-20000002000000-2000000200000000000000
χ5622222-2-2-2-2-2-2-2-222222-2-2-2-222-2-222000000002-2-2-2-2-2-2-2-22-2-2222222222000000-200000022-2-22200000000-2-200000000-2-22200002000000-20000002000000-200000000000000
χ572222-222-2-222-2-2-2222222222-2000000000000-222-2-222-2-2-2-2-222-2-222-2-2002002-200-200002-200000000000000000000002-2000000002002-200-2000000-2002-2002000000000000
χ582222-222-2-222-2-2-2222222222-2000000000000-222-2-222-2-2-2-2-222-2-222-2-200-200-2200200002-200000000000000000000002-200000000-200-22002000000200-2200-2000000000000
χ592222-222-2-222-2-2-22222-2-2-2-22-2000000000000-222-2-222-2-2-222-2-222-2-222002002-200-200002-20000000000000000000000-22000000002002-200-2000000200-2200-2000000000000
χ602222-222-2-222-2-2-22222-2-2-2-22-2000000000000-222-2-222-2-2-222-2-222-2-22200-200-2200200002-20000000000000000000000-2200000000-200-22002000000-2002-2002000000000000
χ612222-222-2-2-2-222-222222222-22000000000000-222-2-2-2-222-2-2-2-2-22222-2-20202-2000-200000-220000000000000000000000-220000000202-2000-2000000-202-200020000000000000
χ622222-222-2-2-2-222-222222222-22000000000000-222-2-2-2-222-2-2-2-2-22222-2-20-20-22000200000-220000000000000000000000-220000000-20-22000200000020-22000-20000000000000
χ632222-222-2-2-2-222-22222-2-2-2-2-22000000000000-222-2-2-2-222-22222-2-2-2-2220202-2000-200000-2200000000000000000000002-20000000202-2000-200000020-22000-20000000000000
χ642222-222-2-2-2-222-22222-2-2-2-2-22000000000000-222-2-2-2-222-22222-2-2-2-2220-20-22000200000-2200000000000000000000002-20000000-20-220002000000-202-200020000000000000
χ652222-2-2-22222-2-2-222222222-22000000000000-2-2-22222-2-2-2-2-222-2-2-2-22200200-2200-20000-220000000000000000000000-2200000000200-2200-2000000-200-22002000000000000
χ662222-2-2-22222-2-2-222222222-22000000000000-2-2-22222-2-2-2-2-222-2-2-2-22200-2002-20020000-220000000000000000000000-2200000000-2002-20020000002002-200-2000000000000
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Here i is the imaginary unit (i² = −1).