Finite Group Databasebeta

← Group #72222643

Character table — Group #72222643

Order 4608.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1122222222244444444444444444444444888888888888888888888888888888991616161616161616161616161616161616161818181818242424242424242424242424242424243232323232323232323232323232323236363636363636363648484848484848484848484848484848484848484848484872729696969696969696144144144144
order122334466883446666688812121212161616162424242412121212121212121212161624242424242424242424484848484848484822224424244848484848484848484848482448832323232323232323232323232323232666666661212121212121212448881616161622448888969696969696969696969696969696961616661212242424242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ51111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-11-111-1-111111111-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-111111111-1-1-11-11-1-111-1-1-1-1
χ71111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111
χ81111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-111111111-1-11-11-111-1-11111
χ9111111111111-1-111111-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1
χ10111111111111-1-111111-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ11111111111111-1-111111-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111
χ12111111111111-1-111111-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111
χ13111111111111-1-111111-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-111-1-1-1-11-11-1-1-1111111-1-1-1-1-1-1-1-11111111-11-1-1-111-1-111
χ14111111111111-1-111111-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-111-1-1-1-1-11-1111-1-1-1-1-1-111111111-1-1-1-111-11-1111-1-1-1-111
χ15111111111111-1-111111-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-11-1111-1-11111-1-1-1-1-1-1-1-1111111-11-1111-1-111-1-1
χ16111111111111-1-111111-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-11-11-1-1-111-1-1-1-111111111-1-1-1-1111-11-1-1-11111-1-1
χ1711-1111-111111i−i1-1-1-1-1i−i-111-1-111-1-11111iiii−i−i−i−i1-1i−iii−i−i-1-111-1-11111-1-1-1-1111-1i−ii−i11-1-1iiii−i−i−i−i-11-11111-1-1ii−i−i11-1-1ii−i−i11-1-111-1-1iiii−i−i−i−ii−i-1i−i11-1-111-1-1i−ii−i11-1-1ii−i−i11-1-1ii−i−ii−i11-1-1i−ii−i1-1i−i
χ1811-1111-111111i−i1-1-1-1-1i−i-111-1-111-1-11111iiii−i−i−i−i1-1i−iii−i−i-1-111-1-11111-1-1-1-1111-1i−ii−i11-1-1iiii−i−i−i−i-11-111-1-111−i−iii-1-111−i−iii11-1-111-1-1iiii−i−i−i−ii−i-1i−i11-1-1-1-111−ii−ii-1-111−i−iii-1-111−i−iiii−i-1-111−ii−ii1-1i−i
χ1911-1111-111111i−i1-1-1-1-1i−i-111-1-111-1-11111iiii−i−i−i−i1-1i−iii−i−i-1-111-1-11111-1-1-1-111-11−iii−i11-1-1iiii−i−i−i−i-11-11111-1-1ii−i−i11-1-1ii−i−i-1-111-1-111−i−i−i−iiiiii−i-1i−i11-1-1-1-111−ii−ii11-1-1ii−i−i11-1-1ii−i−ii−i-1-111−ii−ii-11−ii
χ2011-1111-111111i−i1-1-1-1-1i−i-111-1-111-1-11111iiii−i−i−i−i1-1i−iii−i−i-1-111-1-11111-1-1-1-111-11−iii−i11-1-1iiii−i−i−i−i-11-111-1-111−i−iii-1-111−i−iii-1-111-1-111−i−i−i−iiiiii−i-1i−i11-1-111-1-1i−ii−i-1-111−i−iii-1-111−i−iiii−i11-1-1i−ii−i-11−ii
χ2111-1111-111111i−i1-1-1-1-1i−i-111-1-111-1-11111iiii−i−i−i−i1-1i−iii−i−i-1-111-1-11111-1-1-1-1-1-11-1i−ii−i11-1-1iiii−i−i−i−i1-11-1-111-1-1ii−i−i-1-111−i−iii11-1-111-1-1iiii−i−i−i−i−ii1−ii-1-1111-1-11i−i−ii11-1-1ii−i−i-1-111−i−iii−ii1-1-11i−i−ii-11−ii
χ2211-1111-111111i−i1-1-1-1-1i−i-111-1-111-1-11111iiii−i−i−i−i1-1i−iii−i−i-1-111-1-11111-1-1-1-1-1-11-1i−ii−i11-1-1iiii−i−i−i−i1-11-1-1-1-111−i−iii11-1-1ii−i−i11-1-111-1-1iiii−i−i−i−i−ii1−ii-1-111-111-1−iii−i-1-111−i−iii11-1-1ii−i−i−ii-111-1−iii−i-11−ii
χ2311-1111-111111i−i1-1-1-1-1i−i-111-1-111-1-11111iiii−i−i−i−i1-1i−iii−i−i-1-111-1-11111-1-1-1-1-1-1-11−iii−i11-1-1iiii−i−i−i−i1-11-1-111-1-1ii−i−i-1-111−i−iii-1-111-1-111−i−i−i−iiiii−ii1−ii-1-111-111-1−iii−i11-1-1ii−i−i-1-111−i−iii−ii-111-1−iii−i1-1i−i
χ2411-1111-111111i−i1-1-1-1-1i−i-111-1-111-1-11111iiii−i−i−i−i1-1i−iii−i−i-1-111-1-11111-1-1-1-1-1-1-11−iii−i11-1-1iiii−i−i−i−i1-11-1-1-1-111−i−iii11-1-1ii−i−i-1-111-1-111−i−i−i−iiiii−ii1−ii-1-1111-1-11i−i−ii-1-111−i−iii11-1-1ii−i−i−ii1-1-11i−i−ii1-1i−i
χ2511-1111-111111−ii1-1-1-1-1−ii-111-1-111-1-11111−i−i−i−iiiii1-1−ii−i−iii-1-111-1-11111-1-1-1-1111-1−ii−ii11-1-1−i−i−i−iiiii-11-11111-1-1−i−iii11-1-1−i−iii11-1-111-1-1−i−i−i−iiiii−ii-1−ii11-1-111-1-1−ii−ii11-1-1−i−iii11-1-1−i−iii−ii11-1-1−ii−ii1-1−ii
χ2611-1111-111111−ii1-1-1-1-1−ii-111-1-111-1-11111−i−i−i−iiiii1-1−ii−i−iii-1-111-1-11111-1-1-1-1111-1−ii−ii11-1-1−i−i−i−iiiii-11-111-1-111ii−i−i-1-111ii−i−i11-1-111-1-1−i−i−i−iiiii−ii-1−ii11-1-1-1-111i−ii−i-1-111ii−i−i-1-111ii−i−i−ii-1-111i−ii−i1-1−ii
χ2711-1111-111111−ii1-1-1-1-1−ii-111-1-111-1-11111−i−i−i−iiiii1-1−ii−i−iii-1-111-1-11111-1-1-1-111-11i−i−ii11-1-1−i−i−i−iiiii-11-11111-1-1−i−iii11-1-1−i−iii-1-111-1-111iiii−i−i−i−i−ii-1−ii11-1-1-1-111i−ii−i11-1-1−i−iii11-1-1−i−iii−ii-1-111i−ii−i-11i−i
χ2811-1111-111111−ii1-1-1-1-1−ii-111-1-111-1-11111−i−i−i−iiiii1-1−ii−i−iii-1-111-1-11111-1-1-1-111-11i−i−ii11-1-1−i−i−i−iiiii-11-111-1-111ii−i−i-1-111ii−i−i-1-111-1-111iiii−i−i−i−i−ii-1−ii11-1-111-1-1−ii−ii-1-111ii−i−i-1-111ii−i−i−ii11-1-1−ii−ii-11i−i
χ2911-1111-111111−ii1-1-1-1-1−ii-111-1-111-1-11111−i−i−i−iiiii1-1−ii−i−iii-1-111-1-11111-1-1-1-1-1-11-1−ii−ii11-1-1−i−i−i−iiiii1-11-1-111-1-1−i−iii-1-111ii−i−i11-1-111-1-1−i−i−i−iiiiii−i1i−i-1-1111-1-11−iii−i11-1-1−i−iii-1-111ii−i−ii−i1-1-11−iii−i-11i−i
χ3011-1111-111111−ii1-1-1-1-1−ii-111-1-111-1-11111−i−i−i−iiiii1-1−ii−i−iii-1-111-1-11111-1-1-1-1-1-11-1−ii−ii11-1-1−i−i−i−iiiii1-11-1-1-1-111ii−i−i11-1-1−i−iii11-1-111-1-1−i−i−i−iiiiii−i1i−i-1-111-111-1i−i−ii-1-111ii−i−i11-1-1−i−iiii−i-111-1i−i−ii-11i−i
χ3111-1111-111111−ii1-1-1-1-1−ii-111-1-111-1-11111−i−i−i−iiiii1-1−ii−i−iii-1-111-1-11111-1-1-1-1-1-1-11i−i−ii11-1-1−i−i−i−iiiii1-11-1-111-1-1−i−iii-1-111ii−i−i-1-111-1-111iiii−i−i−i−ii−i1i−i-1-111-111-1i−i−ii11-1-1−i−iii-1-111ii−i−ii−i-111-1i−i−ii1-1−ii
χ3211-1111-111111−ii1-1-1-1-1−ii-111-1-111-1-11111−i−i−i−iiiii1-1−ii−i−iii-1-111-1-11111-1-1-1-1-1-1-11i−i−ii11-1-1−i−i−i−iiiii1-11-1-1-1-111ii−i−i11-1-1−i−iii-1-111-1-111iiii−i−i−i−ii−i1i−i-1-1111-1-11−iii−i-1-111ii−i−i11-1-1−i−iiii−i1-1-11−iii−i1-1−ii
χ3322222222222222222222222222-2-2-2-222222222222222-2-22222222222-2-2-2-2-2-2-2-222000022-2-2-2-2-2-2-2-2-2-2-2-2222220000000000000000000000000000000022222-2-2-2-2000000000000000000000000-2-2000000000000
χ3422222222222222222222222222-2-2-2-222222222222222-2-22222222222-2-2-2-2-2-2-2-2-2-2000022-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2-2222200000000000000000000000022000000000000
χ35222222222222-2-222222-2-222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-2220000-2-2-2-2-2-2222222222222200000000000000000000000000000000-2-22-2-2-2-2-2-200000000000000000000000022000000000000
χ36222222222222-2-222222-2-222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-20000-2-2-2-2-2-222222222-2-2-2-2-20000000000000000000000000000000022-2222222000000000000000000000000-2-2000000000000
χ37222222222-2-222222222-2-2-222220000-2-2-2-2222222222200-2-2-2-2-2-2-2-2-2-200000000220000-2-2000000000000222-2-22−22−22−22−22−22−22−22−2000000000000000022-2-2-20000000000002−22−22−22−22−22−22−22−200000000000000
χ38222222222-2-222222222-2-2-222220000-2-2-2-2222222222200-2-2-2-2-2-2-2-2-2-200000000220000-2-2000000000000222-2-2−22−22−22−22−22−22−22−22000000000000000022-2-2-2000000000000−22−22−22−22−22−22−22−2200000000000000
χ39222222222-2-222222222-2-2-222220000-2-2-2-2222222222200-2-2-2-2-2-2-2-2-2-200000000-2-20000-2-2000000000000-2-2-2222−22−22−22−2−22−22−22−220000000000000000-2-22220000000000002−22−22−22−2−22−22−22−2200000000000000
χ40222222222-2-222222222-2-2-222220000-2-2-2-2222222222200-2-2-2-2-2-2-2-2-2-200000000-2-20000-2-2000000000000-2-2-222−22−22−22−222−22−22−22−20000000000000000-2-2222000000000000−22−22−22−222−22−22−22−200000000000000
χ41222222222-2-22-2-22222222-222220000-2-2-2-2-2-2-2-2-2-2-2-222002222-2-2-2-2-2-20000000022000022000000000000222-2-22−22−2−22−222−22−2−22−220000000000000000-2-2-2220000000000002−22−2−22−222−22−2−22−2200000000000000
χ42222222222-2-22-2-22222222-222220000-2-2-2-2-2-2-2-2-2-2-2-222002222-2-2-2-2-2-20000000022000022000000000000222-2-2−22−222−22−2−22−222−22−20000000000000000-2-2-222000000000000−22−222−22−2−22−222−22−200000000000000
χ43222222222-2-22-2-22222222-222220000-2-2-2-2-2-2-2-2-2-2-2-222002222-2-2-2-2-2-200000000-2-2000022000000000000-2-2-2222−22−2−22−22−22−222−22−20000000000000000222-2-20000000000002−22−2−22−22−22−222−22−200000000000000
χ44222222222-2-22-2-22222222-222220000-2-2-2-2-2-2-2-2-2-2-2-222002222-2-2-2-2-2-200000000-2-2000022000000000000-2-2-222−22−222−22−22−22−2−22−220000000000000000222-2-2000000000000−22−222−22−22−22−2−22−2200000000000000
χ452222-1222-122-122-12-1-1-12222-12-1222222-1-12-1-1-12-1-1-1-1-1222-12-12-1-1-1-1-122-1-122-1-1002222-1-1-1-1-1-12-1-1-12-1-1-10000000000000222222222-12-1-1-1-1-12-1-1-12-1-1-10000000000202002200000000-1-1-1-1-1-1-1-1000-10-100-1-10000
χ462222-1222-122-122-12-1-1-12222-12-1222222-1-12-1-1-12-1-1-1-1-1222-12-12-1-1-1-1-122-1-122-1-1002222-1-1-1-1-1-12-1-1-12-1-1-10000000000000-2-2-2-2-2-2-2-22-12-1-1-1-1-12-1-1-12-1-1-10000000000-20-200-2-2000000001111111100010100110000
χ472222-1222-122-122-12-1-1-12222-12-1222222-1-12-1-1-12-1-1-1-1-1222-12-12-1-1-1-1-122-1-122-1-100-2-2-2-2-1-1-1-1-1-12-1-1-12-1-1-1000000000000022222222-21-211111-2111-21110000000000-20-200-2-200000000-1-1-1-1-1-1-1-100010100110000
χ482222-1222-122-122-12-1-1-12222-12-1222222-1-12-1-1-12-1-1-1-1-1222-12-12-1-1-1-1-122-1-122-1-100-2-2-2-2-1-1-1-1-1-12-1-1-12-1-1-10000000000000-2-2-2-2-2-2-2-2-21-211111-2111-2111000000000020200220000000011111111000-10-100-1-10000
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χ11844-44-24-44-244-2−4i4i-2-4222−4i4i-44-2-42-4-44444-2-2−4i2i2i2i4i−2i−2i−2i-224i−4i−4i2i4i−2i-42-2-222-4-42244-2-20000002i−2i22-2-24i−2i−2i−2i−4i2i2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ13544-4-2-24-4-2-2441−4i4i122-1-1−4i4i-4-2-222-4-444-2-2-2-22i2i−i−i−2i−2iii1-14i−4i2i2i−2i−2i2211-1-12222-2-2-2-2000000−ii-1-111−2i−2iii2i2i−i−i00000000000000000000000003-3-3300−3i3i003i−3i00000000000000000000000000000000000000000000000
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χ142888-4-488-4-4-8-82-8-82-4-42288-8-4-4-4-40000444444-2-244-2-22200-4-4-4-444-2-2-2-20000000000000022000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ15288-8-4-48-8-4-4-8-82−8i8i244-2-28i−8i8-4-444000044444i4i−2i−2i−4i−4i2i2i2-200−4i−4i4i4i-4-4-2-222000000000000002i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).