Finite Group Databasebeta

← Group #72286467

Character table — Group #72286467

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148
size1111111122222222222222222222222222222222222222222222444444444444444444444444444444444444444488888888888888888888888888888888161616161616161616161616161616163232323232323232
order12222222222222222222222244444444444444444444888888882222224444448888888888888888888888888888222222222222222244444444444444441616161616161616161616161616161644444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i
χ611111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii
χ711111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ811111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i
χ9111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ11111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ12111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ14111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ1711111111-1-1-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11-11-11-11-1
χ1811111111-1-1-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-11-11-11-11
χ1911111111-1-1-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-1-11-11-11-11
χ2011111111-1-1-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1111-11-11-11-1
χ2111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ2211111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ2311111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ2411111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ2511111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-111-1-11
χ2611111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-111-1-111-1
χ2711111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111-111-1-111-1
χ2811111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-11-1-111-1-11
χ2911111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ3011111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ3111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ3211111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ3322222222222222222222222222222222222222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ34222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000222222-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000002−22−22−22−22−22−22−22−200000000
χ35222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000222222-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000−22−22−22−22−22−22−22−2200000000
χ3622222222222222222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222200000000000000000000000000000000000000000000000000000000
χ3722222222222222222222-2-2-2-2-2-2-22222222222222222-200000000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000
χ3822222222222222222222-2-2-2-2-2-2-22222222222222222-200000000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000
χ39222222222222-2-2-2-2-2-2-2-2222222222222222-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222222200000000000000000000000000000000000000000000000000000000
χ40222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-222222222-20000000022-2-2-2-2-2-222220000000000000000000000000000000000000000000000000000000000002−22−2−22−222−22−2−22−2200000000
χ41222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-222222222-20000000022-2-2-2-2-2-22222000000000000000000000000000000000000000000000000000000000000−22−222−22−2−22−222−22−200000000
χ42222222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-222222222222222222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ43222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-200000000-2-22222-2-22222000000000000000000000000000000000000000000000000000000000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000
χ44222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-200000000-2-22222-2-22222000000000000000000000000000000000000000000000000000000000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000
χ4522222222-2-2-2-22222-2-2-2-222222222222-2-2-2-22222-2-2-2-22-2-2-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2222200000000000000000000000000000000000000000000000000000000
χ4622222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-22222-2-2-2-22222-200000000-2-222-2-222-2-2220000000000000000000000000000000000000000000000000000000000002−2−222−2−222−2−222−2−2200000000
χ4722222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-22222-2-2-2-22222-200000000-2-222-2-222-2-222000000000000000000000000000000000000000000000000000000000000−222−2−222−2−222−2−222−200000000
χ4822222222-2-2-2-22222-2-2-2-2-2-2-2-2222-2-2-2-22222-2-2-2-2222222222222222-2-222-2-222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000000000000000
χ4922222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-20000000022-2-22222-2-222000000000000000000000000000000000000000000000000000000000000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i200000000
χ5022222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-20000000022-2-22222-2-222000000000000000000000000000000000000000000000000000000000000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i200000000
χ5122222222-2-2-2-2-2-2-2-2222222222222222-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-222222222-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000000000000000
χ5222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-222222222-2-2-2-2-200000000-2-2-2-2222222-2-20000000000000000000000000000000000000000000000000000000000002−2−22−222−22−2−22−222−200000000
χ5322222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-222222222-2-2-2-2-200000000-2-2-2-2222222-2-2000000000000000000000000000000000000000000000000000000000000−222−22−2−22−222−22−2−2200000000
χ5422222222-2-2-2-2-2-2-2-22222-2-2-2-2222-2-2-2-222222222-2-2-2-22222222222222-2-2-2-2-2-222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000000000000000
χ5522222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2000000002222-2-22222-2-2000000000000000000000000000000000000000000000000000000000000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000
χ5622222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2000000002222-2-22222-2-2000000000000000000000000000000000000000000000000000000000000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000
χ57222-2-2-2-220000000022-2-222-2-22-2-222-2-20000000022-2-222222-2-2-2-200002-200002-222-2-20000000022-2-20000000022-2-2000022-2-222-2-20000000022-2-222-2-20000000000000000000000000000
χ58222-2-2-2-220000000022-2-222-2-22-2-222-2-20000000022-2-222222-2-2-2-200002-200002-222-2-20000000022-2-20000000022-2-20000-2-222-2-22200000000-2-222-2-2220000000000000000000000000000
χ59222-2-2-2-220000000022-2-222-2-22-2-222-2-20000000022-2-22-2-2-2-2222200002-200002-2-2-22200000000-2-22200000000-2-22222-2-20000000022-2-222-2-20000000022-2-2000000000000000000000000
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Here i is the imaginary unit (i² = −1).