Finite Group Databasebeta

← Group #11797568

Character table — Group #11797568

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222444444444444444444446666666666666666888888888888888888889999999912121212121212121212121212121212121212121212121218181818242424242424242436363636
order124488882334668812121212242424242424242423466688121212122424242424242424444488881616161616161616666661212121212242424242424242424241616161616161616248812121212161616162424242448484848484848481616161661224244848484816161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-11-1111-1-11111111111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-11-1111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111-11-1111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ81111111111111111111111111111-11-1111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1111111ii−i−i-1-1-1-1iiii−i−i−i−iii−i−i-1-111ii−i−iii−i−i
χ101111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1111111−i−iii-1-1-1-1−i−i−i−iiiii−i−iii-1-111−i−iii−i−iii
χ111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i1111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-1-1-1-1-1ii−i−i1111iiii−i−i−i−i−i−iii11-1-1ii−i−i−i−iii
χ121111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii1111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-1-1-1-1-1−i−iii1111−i−i−i−iiiiiii−i−i11-1-1−i−iiiii−i−i
χ131111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-11-1-1-1-11-1-11111-1-11111iiii−i−i−i−i11-1-11111−i−iii-1-1-1-1iiii−i−i−i−iii−i−i11-1-1−i−iii−i−iii
χ141111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-11-1-1-1-11-1-11111-1-11111−i−i−i−iiiii11-1-11111ii−i−i-1-1-1-1−i−i−i−iiiii−i−iii11-1-1ii−i−iii−i−i
χ151111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-11-1-1-1-11-1-11111-1-11111−i−i−i−iiiii-1-111-1-1-1-1−i−iii1111iiii−i−i−i−i−i−iii-1-111−i−iiiii−i−i
χ161111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-11-1-1-1-11-1-11111-1-11111iiii−i−i−i−i-1-111-1-1-1-1ii−i−i1111−i−i−i−iiiiiii−i−i-1-111ii−i−i−i−iii
χ1711-1-1ii−i−i-111111i−i-1-1-1-1ii−i−iii−i−i11-1-11-1i−i1-1-11i−iii−i−ii−iii−i−i11-1-1ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ611-111-1-11-1-1i−ii−ii−iii−i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21-1i−iii−i−iζ2−ζ2ζ6−ζ611-1-1ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ6−ζ6ζ2−ζ21-1i−iζ2−ζ2ζ6−ζ6ζ6−ζ6ζ2−ζ2
χ1811-1-1ii−i−i-111111i−i-1-1-1-1ii−i−iii−i−i11-1-11-1i−i1-1-11i−iii−i−ii−iii−i−i11-1-1−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ611-111-1-11-1-1i−ii−ii−iii−i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21-1i−iii−i−i−ζ2ζ2−ζ6ζ611-1-1−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ6ζ6−ζ2ζ21-1i−i−ζ2ζ2−ζ6ζ6−ζ6ζ6−ζ2ζ2
χ1911-1-1ii−i−i-111111i−i-1-1-1-1ii−i−iii−i−i11-1-11-1i−i1-1-11i−iii−i−ii−i−i−iii-1-111ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ611-111-1-11-1-1i−ii−ii−iii−i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-11−ii−i−iiiζ2−ζ2ζ6−ζ6-1-111ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ6ζ6−ζ2ζ2-11−iiζ2−ζ2ζ6−ζ6−ζ6ζ6−ζ2ζ2
χ2011-1-1ii−i−i-111111i−i-1-1-1-1ii−i−iii−i−i11-1-11-1i−i1-1-11i−iii−i−ii−i−i−iii-1-111−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ611-111-1-11-1-1i−ii−ii−iii−i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-11−ii−i−iii−ζ2ζ2−ζ6ζ6-1-111−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ6−ζ6ζ2−ζ2-11−ii−ζ2ζ2−ζ6ζ6ζ6−ζ6ζ2−ζ2
χ2111-1-1ii−i−i-111111i−i-1-1-1-1ii−i−iii−i−i-111-11-1−ii1-1-11i−iii−i−ii−iii−i−i11-1-1ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-1-1-1-1-111111−ii−iii−i−i−iiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-11−iiii−i−i−ζ2ζ2−ζ6ζ611-1-1ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ6−ζ6ζ2−ζ2-11−ii−ζ2ζ2−ζ6ζ6−ζ6ζ6−ζ2ζ2
χ2211-1-1ii−i−i-111111i−i-1-1-1-1ii−i−iii−i−i-111-11-1−ii1-1-11i−iii−i−ii−iii−i−i11-1-1−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-1-1-1-1-111111−ii−iii−i−i−iii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-11−iiii−i−iζ2−ζ2ζ6−ζ611-1-1−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ6ζ6−ζ2ζ2-11−iiζ2−ζ2ζ6−ζ6ζ6−ζ6ζ2−ζ2
χ2311-1-1ii−i−i-111111i−i-1-1-1-1ii−i−iii−i−i-111-11-1−ii1-1-11i−iii−i−ii−i−i−iii-1-111ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-1-1-1-1-111111−ii−iii−i−i−iii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21-1i−i−i−iii−ζ2ζ2−ζ6ζ6-1-111ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ6ζ6−ζ2ζ21-1i−i−ζ2ζ2−ζ6ζ6ζ6−ζ6ζ2−ζ2
χ2411-1-1ii−i−i-111111i−i-1-1-1-1ii−i−iii−i−i-111-11-1−ii1-1-11i−iii−i−ii−i−i−iii-1-111−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-1-1-1-1-111111−ii−iii−i−i−iiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21-1i−i−i−iiiζ2−ζ2ζ6−ζ6-1-111−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ6−ζ6ζ2−ζ21-1i−iζ2−ζ2ζ6−ζ6−ζ6ζ6−ζ2ζ2
χ2511-1-1−i−iii-111111−ii-1-1-1-1−i−iii−i−iii11-1-11-1−ii1-1-11−ii−i−iii−iiii−i−i-1-111ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ211-111-1-11-1-1−ii−ii−ii−i−iii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-11i−iii−i−iζ6−ζ6ζ2−ζ2-1-111ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ2ζ2−ζ6ζ6-11i−iζ6−ζ6ζ2−ζ2−ζ2ζ2−ζ6ζ6
χ2611-1-1−i−iii-111111−ii-1-1-1-1−i−iii−i−iii11-1-11-1−ii1-1-11−ii−i−iii−iiii−i−i-1-111−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ211-111-1-11-1-1−ii−ii−ii−i−iiiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-11i−iii−i−i−ζ6ζ6−ζ2ζ2-1-111−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ2−ζ2ζ6−ζ6-11i−i−ζ6ζ6−ζ2ζ2ζ2−ζ2ζ6−ζ6
χ2711-1-1−i−iii-111111−ii-1-1-1-1−i−iii−i−iii11-1-11-1−ii1-1-11−ii−i−iii−ii−i−iii11-1-1ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ211-111-1-11-1-1−ii−ii−ii−i−iiiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61-1−ii−i−iiiζ6−ζ6ζ2−ζ211-1-1ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ2−ζ2ζ6−ζ61-1−iiζ6−ζ6ζ2−ζ2ζ2−ζ2ζ6−ζ6
χ2811-1-1−i−iii-111111−ii-1-1-1-1−i−iii−i−iii11-1-11-1−ii1-1-11−ii−i−iii−ii−i−iii11-1-1−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ211-111-1-11-1-1−ii−ii−ii−i−iii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61-1−ii−i−iii−ζ6ζ6−ζ2ζ211-1-1−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ2ζ2−ζ6ζ61-1−ii−ζ6ζ6−ζ2ζ2−ζ2ζ2−ζ6ζ6
χ2911-1-1−i−iii-111111−ii-1-1-1-1−i−iii−i−iii-111-11-1i−i1-1-11−ii−i−iii−iiii−i−i-1-111ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-1-1-1-1-111111i−ii−i−iiii−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61-1−iiii−i−i−ζ6ζ6−ζ2ζ2-1-111ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ2ζ2−ζ6ζ61-1−ii−ζ6ζ6−ζ2ζ2ζ2−ζ2ζ6−ζ6
χ3011-1-1−i−iii-111111−ii-1-1-1-1−i−iii−i−iii-111-11-1i−i1-1-11−ii−i−iii−iiii−i−i-1-111−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-1-1-1-1-111111i−ii−i−iiii−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61-1−iiii−i−iζ6−ζ6ζ2−ζ2-1-111−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ2−ζ2ζ6−ζ61-1−iiζ6−ζ6ζ2−ζ2−ζ2ζ2−ζ6ζ6
χ3111-1-1−i−iii-111111−ii-1-1-1-1−i−iii−i−iii-111-11-1i−i1-1-11−ii−i−iii−ii−i−iii11-1-1ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-1-1-1-1-111111i−ii−i−iiii−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-11i−i−i−iii−ζ6ζ6−ζ2ζ211-1-1ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ2−ζ2ζ6−ζ6-11i−i−ζ6ζ6−ζ2ζ2−ζ2ζ2−ζ6ζ6
χ3211-1-1−i−iii-111111−ii-1-1-1-1−i−iii−i−iii-111-11-1i−i1-1-11−ii−i−iii−ii−i−iii11-1-1−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-1-1-1-1-111111i−ii−i−iiii−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-11i−i−i−iiiζ6−ζ6ζ2−ζ211-1-1−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ2ζ2−ζ6ζ6-11i−iζ6−ζ6ζ2−ζ2ζ2−ζ2ζ6−ζ6
χ332222222222-122-12222-1-1-1-1-1-122222-122-1-1222-1-1-1-1-1-1-1-1-12222222222000000002-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1000000002222-1-1-1-10000-1-1-1-1000000000000-1-1-1-100000000
χ342222222222-122-12222-1-1-1-1-1-122222-122-1-1222-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2000000002-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-100000000-2-2-2-2111100001111000000000000111100000000
χ352222222222-122-12222-1-1-1-1-1-12222-2-1-22-1-1-2-22-1-1-1-1-1-1-1-1-1222222222200000000-21-111-21-111-2-211-1-1111100000000-2-2-2-2-1-1-1-10000-1-1-1-1000000000000111100000000
χ362222222222-122-12222-1-1-1-1-1-12222-2-1-22-1-1-2-22-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-200000000-21-111-21-111-2-211-1-11111000000002222111100001111000000000000-1-1-1-100000000
χ37222222222-122-1222-1-1222222-1-1-1-12-12-1-1222-1-1-1222-1-1-1-1-1-10000000022222222-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1000000000000000022220000-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ38222222222-122-1222-1-1222222-1-1-1-12-12-1-1222-1-1-1222-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-10000000000000000-2-2-2-20000111111110000000011110000
χ39222222222-122-1222-1-1222222-1-1-1-1-2-1-2-1-12-2-2-1-1-1222-1-1-1-1-1-100000000222222221-2-1111-2-11111-2-2-1-111110000000000000000-2-2-2-20000-1-1-1-1-1-1-1-10000000011110000
χ40222222222-122-1222-1-1222222-1-1-1-1-2-1-2-1-12-2-2-1-1-1222-1-1-1-1-1-100000000-2-2-2-2-2-2-2-21-2-1111-2-11111-2-2-1-111110000000000000000222200001111111100000000-1-1-1-10000
χ4122222222-222-222-2-2222222222222020-22-200-222-2-2-22222-2-2000000000000000000-20000-2000000-2-2000022222222000000000000000000000000-2-2-2-2000000000000
χ4222222222-222-222-2-2222222222222020-22-200-222-2-2-22222-2-2000000000000000000-20000-2000000-2-20000-2-2-2-2-2-2-2-20000000000000000000000002222000000000000
χ432222-2-2-2-222-122-1-2-222-1-11111-2-2-2-22-122-1-1-2-22-1-1-1111111-2-22222-2-2-2-2000000002-1-1-1-12-1-1-1-1-2-21111111100000000-2-222-1-1-1-10000111100000000000011-1-100000000
χ442222-2-2-2-222-122-1-2-222-1-11111-2-2-2-22-122-1-1-2-22-1-1-1111111-2-2-2-2-2-22222000000002-1-1-1-12-1-1-1-1-2-2111111110000000022-2-211110000-1-1-1-1000000000000-1-11100000000
χ452222-2-2-2-222-122-1-2-222-1-11111-2-2-2-2-2-1-22-1-1222-1-1-1111111-2-22222-2-2-2-200000000-21-111-21-11122-1-111-1-1-1-10000000022-2-2-1-1-1-100001111000000000000-1-11100000000
χ462222-2-2-2-222-122-1-2-222-1-11111-2-2-2-2-2-1-22-1-1222-1-1-1111111-2-2-2-2-2-2222200000000-21-111-21-11122-1-111-1-1-1-100000000-2-22211110000-1-1-1-100000000000011-1-100000000
χ472222-2-2-2-22-122-12-2-2-1-122-2-2-2-211112-12-1-12-2-2-1-1-12-2-2111111000000002i2i2i2i−2i−2i−2i−2i-12-1-1-1-12-1-1-111-2-211111100000000000000002i2i−2i−2i0000−i−i−i−iiiii00000000−i−iii0000
χ482222-2-2-2-22-122-12-2-2-1-122-2-2-2-211112-12-1-12-2-2-1-1-12-2-211111100000000−2i−2i−2i−2i2i2i2i2i-12-1-1-1-12-1-1-111-2-21111110000000000000000−2i−2i2i2i0000iiii−i−i−i−i00000000ii−i−i0000
χ492222-2-2-2-22-122-12-2-2-1-122-2-2-2-21111-2-1-2-1-1222-1-1-12-2-2111111000000002i2i2i2i−2i−2i−2i−2i1-2-1111-2-111-1-12211-1-1-1-10000000000000000−2i−2i2i2i0000−i−i−i−iiiii00000000ii−i−i0000
χ502222-2-2-2-22-122-12-2-2-1-122-2-2-2-21111-2-1-2-1-1222-1-1-12-2-211111100000000−2i−2i−2i−2i2i2i2i2i1-2-1111-2-111-1-12211-1-1-1-100000000000000002i2i−2i−2i0000iiii−i−i−i−i00000000−i−iii0000
χ512222-2-2-2-2-222-222222222-2-2-2-2-2-2-2-2020-22-200-222-222-2-2-2-222000000000000000000-20000-20000002200002i2i2i2i−2i−2i−2i−2i000000000000000000000000−2i−2i2i2i000000000000
χ522222-2-2-2-2-222-222222222-2-2-2-2-2-2-2-2020-22-200-222-222-2-2-2-222000000000000000000-20000-2000000220000−2i−2i−2i−2i2i2i2i2i0000000000000000000000002i2i−2i−2i000000000000
χ5322-2-22i2i−2i−2i222-222−2i2i-2-2-2-22i2i−2i−2i2i2i−2i−2i02022200-2-2-2-2−2i2i2i2i−2i−2i−2i2i00000000000000000020000-2000000−2i2i00002ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ2000000000000000000000000−2ζ62ζ6−2ζ22ζ2000000000000
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Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.