Finite Group Databasebeta

← Group #72216563

Character table — Group #72216563

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size111122222222222222444444444444444444444444444444444444444444448888888888888888888888888888888888888832323232323232323232323232323232323232323232323232323232323232326464646464646464
order12222244448888888844444444888888888888888888881616161616161616161616161616161644888888888888161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323222224444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1
χ9111111111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ10111111111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ11111111111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ12111111111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ13111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111
χ14111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1
χ15111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1
χ16111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111
χ1711-1-11-111-1-11111-1-1-1-1ii−i−i11-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i1-11-1i−ii−i
χ1811-1-11-111-1-11111-1-1-1-1ii−i−i11-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i-1-111−i−iii-1-111−i−iii-11-11−ii−ii
χ1911-1-11-111-1-11111-1-1-1-1ii−i−i11-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-111−i−iii11-1-1ii−i−i11-1-1ii−i−i-11-11−ii−ii
χ2011-1-11-111-1-11111-1-1-1-1ii−i−i11-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-111−i−iii-1-111−i−iii-1-111−i−iii1-11-1i−ii−i
χ2111-1-11-111-1-11111-1-1-1-1ii−i−i11-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111i−iii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiiiii−i−i-1-111−i−iii11-1-1ii−i−i-1-111−i−iii11-1-11-1-11i−i−ii
χ2211-1-11-111-1-11111-1-1-1-1ii−i−i11-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111i−iii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiiiii−i−i-1-111−i−iii11-1-1−i−iii11-1-1ii−i−i-1-111-111-1−iii−i
χ2311-1-11-111-1-11111-1-1-1-1ii−i−i11-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111i−iii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii−i−iii11-1-1ii−i−i-1-111ii−i−i-1-111−i−iii11-1-1-111-1−iii−i
χ2411-1-11-111-1-11111-1-1-1-1ii−i−i11-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111i−iii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii−i−iii11-1-1ii−i−i-1-111−i−iii11-1-1ii−i−i-1-1111-1-11i−i−ii
χ2511-1-11-111-1-11111-1-1-1-1−i−iii11-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii11-1-1−i−iii11-1-1−i−iii1-11-1−ii−ii
χ2611-1-11-111-1-11111-1-1-1-1−i−iii11-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii-1-111ii−i−i-1-111ii−i−i-11-11i−ii−i
χ2711-1-11-111-1-11111-1-1-1-1−i−iii11-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-111ii−i−i11-1-1−i−iii11-1-1−i−iii-11-11i−ii−i
χ2811-1-11-111-1-11111-1-1-1-1−i−iii11-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-111ii−i−i-1-111ii−i−i-1-111ii−i−i1-11-1−ii−ii
χ2911-1-11-111-1-11111-1-1-1-1−i−iii11-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111−ii−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−iii−i−i11-1-1−i−iii-1-111ii−i−i11-1-1−i−iii-1-1111-1-11−iii−i
χ3011-1-11-111-1-11111-1-1-1-1−i−iii11-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111−ii−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−iii−i−i11-1-1−i−iii-1-111−i−iii-1-111ii−i−i11-1-1-111-1i−i−ii
χ3111-1-11-111-1-11111-1-1-1-1−i−iii11-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111−ii−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−iii-1-111ii−i−i11-1-1ii−i−i11-1-1−i−iii-1-111-111-1i−i−ii
χ3211-1-11-111-1-11111-1-1-1-1−i−iii11-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111−ii−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−iii-1-111ii−i−i11-1-1−i−iii-1-111ii−i−i11-1-11-1-11−iii−i
χ3322222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-222-2-222-2-222-2-2222222-2-2-2-2-2-2-2-222-2-222-2-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
χ3422222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-2-222-2-222-2-222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000
χ35222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-222-2-222-2-222-2-2-2-2-2-2-2-222222222-2-222-2-22222-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000
χ36222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-2-222-2-222-2-222-2-2-2-2-2-22222222222-2-222-2-2-2-222-2-22222-2-222-2-20000000000000000000000000000000000000000
χ37222222222222-2-222-2-22222-2-2-2-200000000000000002-22-20022002200220022-2-22-22-2000000000022002200-2-200-2-200-2-200-2-22−22−22−22−22−22−22−22−2000000000000000000000000
χ38222222222222-2-222-2-22222-2-2-2-200000000000000002-22-20022002200220022-2-22-22-2000000000022002200-2-200-2-200-2-200-2-2−22−22−22−22−22−22−22−22000000000000000000000000
χ39222222222222-2-222-2-22222-2-2-2-200000000000000002-22-200-2-200-2-200-2-200-2-2-2-22-22-20000000000-2-200-2-20022002200220022i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ40222222222222-2-222-2-22222-2-2-2-200000000000000002-22-200-2-200-2-200-2-200-2-2-2-22-22-20000000000-2-200-2-20022002200220022−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ41222222222222-2-222-2-2-2-2-2-2-2-2-2-200000000000000002-22-2002200220022002222-22-220000000000-2-200-2-200-2-200-2-2002200222−22−2−22−222−22−2−22−22000000000000000000000000
χ42222222222222-2-222-2-2-2-2-2-2-2-2-2-200000000000000002-22-2002200220022002222-22-220000000000-2-200-2-200-2-200-2-200220022−22−222−22−2−22−222−22−2000000000000000000000000
χ43222222222222-2-222-2-2-2-2-2-2-2-2-2-200000000000000002-22-200-2-200-2-200-2-200-2-222-22-2200000000002200220022002200-2-200-2-2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ44222222222222-2-222-2-2-2-2-2-2-2-2-2-200000000000000002-22-200-2-200-2-200-2-200-2-222-22-2200000000002200220022002200-2-200-2-2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ452222222222-2-222-2-2222222-2-2-2-20000000000000000-22-222200220022002200-2-2-22-220000000022002200-2-200-2-200-2-200-2-20000000000000000002−22−22−22−22−22−22−22−200000000
χ462222222222-2-222-2-2222222-2-2-2-20000000000000000-22-222200220022002200-2-2-22-220000000022002200-2-200-2-200-2-200-2-2000000000000000000−22−22−22−22−22−22−22−2200000000
χ472222222222-2-222-2-2222222-2-2-2-20000000000000000-22-22-2-200-2-200-2-200-2-200-2-2-22-2200000000-2-200-2-20022002200220022000000000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000
χ482222222222-2-222-2-2222222-2-2-2-20000000000000000-22-22-2-200-2-200-2-200-2-200-2-2-22-2200000000-2-200-2-20022002200220022000000000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000
χ492222222222-2-222-2-222-2-2-2-2-2-2-2-20000000000000000-22-222200220022002200222-22-200000000-2-200-2-200-2-200-2-2002200220000000000000000002−22−2−22−222−22−2−22−2200000000
χ502222222222-2-222-2-222-2-2-2-2-2-2-2-20000000000000000-22-222200220022002200222-22-200000000-2-200-2-200-2-200-2-200220022000000000000000000−22−222−22−2−22−222−22−200000000
χ512222222222-2-222-2-222-2-2-2-2-2-2-2-20000000000000000-22-22-2-200-2-200-2-200-2-200222-22-2000000002200220022002200-2-200-2-2000000000000000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000
χ522222222222-2-222-2-222-2-2-2-2-2-2-2-20000000000000000-22-22-2-200-2-200-2-200-2-200222-22-2000000002200220022002200-2-200-2-2000000000000000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000
χ5322-2-22-222-2-22222-2-2-2-22i2i−2i−2i22-2-2-2-2-2-2-2-2-2-22222222222-2-222-2-2-2-22222-2-2-2-2222i−2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i2i2i22-2-2-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000
χ5422-2-22-222-2-22222-2-2-2-22i2i−2i−2i22-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-22222-2-2-2-22222-2-22i−2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i2i2i−2i−2i-2-22222-2-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000
χ5522-2-22-222-2-22222-2-2-2-2−2i−2i2i2i22-2-2-2-2-2-2-2-2-2-22222222222-2-222-2-2-2-22222-2-2-2-222−2i2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i−2i−2i22-2-2-2-222−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000
χ5622-2-22-222-2-22222-2-2-2-2−2i−2i2i2i22-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-22222-2-2-2-22222-2-2−2i2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i2i2i−2i−2i−2i−2i2i2i-2-22222-2-22i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000
χ5722-2-22-222-2-222-2-2-2-2222i2i−2i−2i-2-22200000000000000002-2-22002200-2-2002200-2-2−2i2i2i−2i−2i2i00000000002i2i00−2i−2i00-2-2002200−2i−2i002i2i2−2−22i2−i2−i2i22−2−22i2−i2−i2i2000000000000000000000000
χ5822-2-22-222-2-222-2-2-2-2222i2i−2i−2i-2-22200000000000000002-2-22002200-2-2002200-2-2−2i2i2i−2i−2i2i00000000002i2i00−2i−2i00-2-2002200−2i−2i002i2i−222−2−i2i2i2−i2−222−2−i2i2i2−i2000000000000000000000000
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Here i is the imaginary unit (i² = −1).