Finite Group Databasebeta

← Group #11787598

Character table — Group #11787598

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212122424242424242424242424243636363636363636
order122222223344444444666666666666661212121212121212344666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212124444444412121212121212121212121212121212224466661212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ61111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ71111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111
χ81111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1
χ9111-1-1-11-111ii−i−i1-11-111-1-111-1-11-1-1-11-1iiii−i−i−i−i1i−i11-1-11-1-111-1-1iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i
χ10111-1-1-11-111ii−i−i1-11-111-1-111-1-11-1-1-11-1iiii−i−i−i−i1i−i11-1-11-1-111-1-1iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-1-111−i−iii-1-111−i−iii
χ11111-1-1-11-111ii−i−i1-11-111-1-111-1-11-1-1-11-1iiii−i−i−i−i1i−i11-1-11-1-111-1-1iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-1i−i11-1-1ii−i−i-1-111−i−iii
χ12111-1-1-11-111ii−i−i1-11-111-1-111-1-11-1-1-11-1iiii−i−i−i−i1i−i11-1-11-1-111-1-1iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii-11−ii-1-111−i−iii11-1-1ii−i−i
χ13111-1-1-11-111−i−iii1-11-111-1-111-1-11-1-1-11-1−i−i−i−iiiii1−ii11-1-11-1-111-1-1−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii11-1-1−i−iii
χ14111-1-1-11-111−i−iii1-11-111-1-111-1-11-1-1-11-1−i−i−i−iiiii1−ii11-1-11-1-111-1-1−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i-1-111ii−i−i
χ15111-1-1-11-111−i−iii1-11-111-1-111-1-11-1-1-11-1−i−i−i−iiiii1−ii11-1-11-1-111-1-1−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-1−ii11-1-1−i−iii-1-111ii−i−i
χ16111-1-1-11-111−i−iii1-11-111-1-111-1-11-1-1-11-1−i−i−i−iiiii1−ii11-1-11-1-111-1-1−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i-11i−i-1-111ii−i−i11-1-1−i−iii
χ1722222222222222-2-2-2-222222222222222222222222-2-22222222-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ182222222222-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-222-2-222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ19222222222-1222222222222-1-1-12-1-1-1-12222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-100000000
χ20222222222-1222222222222-1-1-12-1-1-1-12222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-21111111100000000
χ21222222222-12222-2-2-2-22222-1-1-12-1-1-1-12222222222-1-2-2-1-1-1-1-1-1-11111-1-111-1-111-2-2-2-2-2-2-2-211111111-1-1-1-11111-1-1-1-111110000000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ22222222222-12222-2-2-2-22222-1-1-12-1-1-1-12222222222-1-2-2-1-1-1-1-1-1-11111-1-111-1-111-2-2-2-2-2-2-2-211111111-1-1-1-11111-1-1-1-111110000000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ23222222222-1-2-2-2-222222222-1-1-12-1-1-1-122-2-2-2-2-2-2-2-2-1-2-2-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000000000000022-2-2-1-1-1-1111100000000
χ24222222222-1-2-2-2-222222222-1-1-12-1-1-1-122-2-2-2-2-2-2-2-2-1-2-2-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000000000000000-2-2221111-1-1-1-100000000
χ25222222222-1-2-2-2-2-2-2-2-22222-1-1-12-1-1-1-122-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-1111111-1-111-1-1-2-2-2-22222111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ26222222222-1-2-2-2-2-2-2-2-22222-1-1-12-1-1-1-122-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-1111111-1-111-1-1-2-2-2-22222111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ2722222222-1222222222-1-1-1-1222-12222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ2822222222-1222222222-1-1-1-1222-12222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000
χ2922222222-122222-2-2-2-2-1-1-1-1222-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-2-2-2-222-2-222-2-21111111111111111-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ3022222222-122222-2-2-2-2-1-1-1-1222-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-2-2-2-222-2-222-2-21111111111111111-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ3122222222-12-2-2-2-22222-1-1-1-1222-12222-1-111111111-1-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ3222222222-12-2-2-2-22222-1-1-1-1222-12222-1-111111111-1-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ3322222222-12-2-2-2-2-2-2-2-2-1-1-1-1222-12222-1-111111111-122-1-1-1-1-1-1-1-2-2-2-2-2-222-2-2221111-1-1-1-1111111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ3422222222-12-2-2-2-2-2-2-2-2-1-1-1-1222-12222-1-111111111-122-1-1-1-1-1-1-1-2-2-2-2-2-222-2-2221111-1-1-1-1111111111111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ35222-2-2-22-2222i2i−2i−2i-22-2222-2-222-2-22-2-2-22-22i2i2i2i−2i−2i−2i−2i2−2i2i22-2-22-2-2-2-2222i2i−2i−2i−2i−2i2i2i-2-222−2i−2i2i2i-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000
χ36222-2-2-22-222−2i−2i2i2i-22-2222-2-222-2-22-2-2-22-2−2i−2i−2i−2i2i2i2i2i22i−2i22-2-22-2-2-2-222−2i−2i2i2i2i2i−2i−2i-2-2222i2i−2i−2i-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000
χ37222-2-2-22-22-12i2i−2i−2i2-22-222-2-2-1-11-2-11112-22i2i2i2i−2i−2i−2i−2i-12i−2i-1-111-111-1-111−i−i−i−iiiii22-2-22i2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000000000002-22i−2i-1-111−i−iii00000000
χ38222-2-2-22-22-12i2i−2i−2i2-22-222-2-2-1-11-2-11112-22i2i2i2i−2i−2i−2i−2i-12i−2i-1-111-111-1-111−i−i−i−iiiii22-2-22i2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii000000000000000000000000-22−2i2i11-1-1ii−i−i00000000
χ39222-2-2-22-22-12i2i−2i−2i-22-2222-2-2-1-11-2-11112-22i2i2i2i−2i−2i−2i−2i-1−2i2i-1-111-11111-1-1−i−iiiii−i−i-2-222−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000−i3i3i3−i33−3−3300000000
χ40222-2-2-22-22-12i2i−2i−2i-22-2222-2-2-1-11-2-11112-22i2i2i2i−2i−2i−2i−2i-1−2i2i-1-111-11111-1-1−i−iiiii−i−i-2-222−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000i3−i3−i3i3−333−300000000
χ41222-2-2-22-22-1−2i−2i2i2i2-22-222-2-2-1-11-2-11112-2−2i−2i−2i−2i2i2i2i2i-1−2i2i-1-111-111-1-111iiii−i−i−i−i22-2-2−2i−2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000000000002-2−2i2i-1-111ii−i−i00000000
χ42222-2-2-22-22-1−2i−2i2i2i2-22-222-2-2-1-11-2-11112-2−2i−2i−2i−2i2i2i2i2i-1−2i2i-1-111-111-1-111iiii−i−i−i−i22-2-2−2i−2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i000000000000000000000000-222i−2i11-1-1−i−iii00000000
χ43222-2-2-22-22-1−2i−2i2i2i-22-2222-2-2-1-11-2-11112-2−2i−2i−2i−2i2i2i2i2i-12i−2i-1-111-11111-1-1ii−i−i−i−iii-2-2222i2i−2i−2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000−i3i3i3−i3−333−300000000
χ44222-2-2-22-22-1−2i−2i2i2i-22-2222-2-2-1-11-2-11112-2−2i−2i−2i−2i2i2i2i2i-12i−2i-1-111-11111-1-1ii−i−i−i−iii-2-2222i2i−2i−2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000i3−i3−i3i33−3−3300000000
χ45222-2-2-22-2-122i2i−2i−2i2-22-2-1-11122-212-2-2-2-11−i−i−i−iiiii-12i−2i-1-111-11122-2-22i2i2i2i−2i−2i−2i−2i-1-111−i−iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii22-2-22i2i−2i−2i-1-1-1-11111−i−i−i−iiiii00000000000000000000
χ46222-2-2-22-2-122i2i−2i−2i2-22-2-1-11122-212-2-2-2-11−i−i−i−iiiii-12i−2i-1-111-11122-2-22i2i2i2i−2i−2i−2i−2i-1-111−i−iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-2-222−2i−2i2i2i1111-1-1-1-1iiii−i−i−i−i00000000000000000000
χ47222-2-2-22-2-122i2i−2i−2i-22-22-1-11122-212-2-2-2-11−i−i−i−iiiii-1−2i2i-1-111-111-2-2222i2i−2i−2i−2i−2i2i2i11-1-1ii−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000−i3−i3i3i3i3i3−i3−i333−3−3−3−33300000000000000000000
χ48222-2-2-22-2-122i2i−2i−2i-22-22-1-11122-212-2-2-2-11−i−i−i−iiiii-1−2i2i-1-111-111-2-2222i2i−2i−2i−2i−2i2i2i11-1-1ii−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000i3i3−i3−i3−i3−i3i3i3−3−33333−3−300000000000000000000
χ49222-2-2-22-2-12−2i−2i2i2i2-22-2-1-11122-212-2-2-2-11iiii−i−i−i−i-1−2i2i-1-111-11122-2-2−2i−2i−2i−2i2i2i2i2i-1-111ii−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i22-2-2−2i−2i2i2i-1-1-1-11111iiii−i−i−i−i00000000000000000000
χ50222-2-2-22-2-12−2i−2i2i2i2-22-2-1-11122-212-2-2-2-11iiii−i−i−i−i-1−2i2i-1-111-11122-2-2−2i−2i−2i−2i2i2i2i2i-1-111ii−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-2-2222i2i−2i−2i1111-1-1-1-1−i−i−i−iiiii00000000000000000000
χ51222-2-2-22-2-12−2i−2i2i2i-22-22-1-11122-212-2-2-2-11iiii−i−i−i−i-12i−2i-1-111-111-2-222−2i−2i2i2i2i2i−2i−2i11-1-1−i−iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000−i3−i3i3i3i3i3−i3−i3−3−33333−3−300000000000000000000
χ52222-2-2-22-2-12−2i−2i2i2i-22-22-1-11122-212-2-2-2-11iiii−i−i−i−i-12i−2i-1-111-111-2-222−2i−2i2i2i2i2i−2i−2i11-1-1−i−iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000i3i3−i3−i3−i3−i3i3i333−3−3−3−33300000000000000000000
χ5322-22-2-2-22222i−2i2i−2i00002-22-22-22-2-22-2-2-222i2i−2i−2i2i2i−2i−2i2002-22-2-22-200002i−2i002i−2i0000000000000000002i2i−2i−2i00002i2i−2i−2i0000000000000000000000000000000000000000−i2i2−i2i22−22−2
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χ1284-4-44-444-44-20000-4-444-4-44422-2-4-222-24-400000000-20022-2-2-2222-22-200000000-44-44000022-2-222-2-2000000000000000000000000000000000000000000000000000000000000
χ1294-4-44-444-4-2-2000044-4-422-2-222-22-222-2-2223−2323−2323−2323−23100-1-1111-1-1-22-2200000000-22-2223−2323−2311-1-111-1-1−33−33−3−333−33−33−3−33300000000000000000000000000000000000000000000
χ1304-4-44-444-4-2-2000044-4-422-2-222-22-222-2-22−2323−2323−2323−2323100-1-1111-1-1-22-2200000000-22-22−2323−232311-1-111-1-13−33−333−3−33−33−333−3−300000000000000000000000000000000000000000000
χ1314-4-44-444-4-2-20000-4-44422-2-222-22-222-2-2223−2323−2323−2323−23100-1-1111-1-12-22-2000000002-22-2−2323−2323-1-111-1-111−33−3333−3−3−33−3333−3−300000000000000000000000000000000000000000000
χ1324-4-44-444-4-2-20000-4-44422-2-222-22-222-2-22−2323−2323−2323−2323100-1-1111-1-12-22-2000000002-22-223−2323−23-1-111-1-1113−33−3−3−3333−33−3−3−33300000000000000000000000000000000000000000000
χ1334-4-4-44-4444-200004-4-44-4-4-4-42224-2-2-224400000000-2002222-2-2-2-222-2000000004-4-440000-2-22222-2-2000000000000000000000000000000000000000000000000000000000000
χ1344-4-4-44-4444-20000-444-4-4-4-4-42224-2-2-224400000000-2002222-2-2-22-2-2200000000-444-4000022-2-2-2-222000000000000000000000000000000000000000000000000000000000000
χ1354-4-4-44-444-2-200004-4-442222222-2-2-2-22-2-2−2i32i3−2i32i32i3−2i32i3−2i3100-1-1-1-1111-222-200000000-222-2−2i32i32i3−2i311-1-1-1-111i3−i3i3−i3i3i3−i3−i3−i3i3−i3i3−i3−i3i3i300000000000000000000000000000000000000000000
χ1364-4-4-44-444-2-200004-4-442222222-2-2-2-22-2-22i3−2i32i3−2i3−2i32i3−2i32i3100-1-1-1-1111-222-200000000-222-22i3−2i3−2i32i311-1-1-1-111−i3i3−i3i3−i3−i3i3i3i3−i3i3−i3i3i3−i3−i300000000000000000000000000000000000000000000
χ1374-4-4-44-444-2-20000-444-42222222-2-2-2-22-2-2−2i32i3−2i32i32i3−2i32i3−2i3100-1-1-1-11112-2-22000000002-2-222i3−2i3−2i32i3-1-11111-1-1i3−i3i3−i3−i3−i3i3i3−i3i3−i3i3i3i3−i3−i300000000000000000000000000000000000000000000
χ1384-4-4-44-444-2-20000-444-42222222-2-2-2-22-2-22i3−2i32i3−2i3−2i32i3−2i32i3100-1-1-1-11112-2-22000000002-2-22−2i32i32i3−2i3-1-11111-1-1−i3i3−i3i3i3i3−i3−i3i3−i3i3−i3−i3−i3i3i300000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).