Finite Group Databasebeta

← Group #11787504

Character table — Group #11787504

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size1111111122222222222222222222222222222222222222224444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121272727272
order1222222233444444446666666666666612121212121212121212121212121212344666666612121212121212121212121212121212121212121212121212121212121212121212121212121212444444448888888812121212121212121212121212121212242424242424242424242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ71111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ9111-1-1-1-1111ii−i−i1-11-11111-1-1-1-11-1-1-11-111-1-1iiii−i−i−i−i11-1-11i−i11-1-11-1-1iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i11-1-111-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−ii−i1-1
χ10111-1-1-1-1111ii−i−i1-11-11111-1-1-1-11-1-1-11-111-1-1iiii−i−i−i−i11-1-11i−i11-1-11-1-1iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i11-1-1-1-111−i−iiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−ii-11
χ11111-1-1-1-1111ii−i−i1-11-11111-1-1-1-11-1-1-11-111-1-1iiii−i−i−i−i11-1-11i−i11-1-11-1-1iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii-1-11111-1-1ii−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−ii-11
χ12111-1-1-1-1111ii−i−i1-11-11111-1-1-1-11-1-1-11-111-1-1iiii−i−i−i−i11-1-11i−i11-1-11-1-1iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii-1-111-1-111−i−iii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−i−i−iiiiii−i1-1
χ13111-1-1-1-1111−i−iii1-11-11111-1-1-1-11-1-1-11-111-1-1−i−i−i−iiiii11-1-11−ii11-1-11-1-1−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i-1-11111-1-1−i−iiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiiii−i-11
χ14111-1-1-1-1111−i−iii1-11-11111-1-1-1-11-1-1-11-111-1-1−i−i−i−iiiii11-1-11−ii11-1-11-1-1−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i-1-111-1-111ii−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−ii1-1
χ15111-1-1-1-1111−i−iii1-11-11111-1-1-1-11-1-1-11-111-1-1−i−i−i−iiiii11-1-11−ii11-1-11-1-1−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii11-1-111-1-1−i−iii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−ii1-1
χ16111-1-1-1-1111−i−iii1-11-11111-1-1-1-11-1-1-11-111-1-1−i−i−i−iiiii11-1-11−ii11-1-11-1-1−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii11-1-1-1-111ii−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−ii−i-11
χ1722222222222222-2-2-2-222222222222222-2-2-2-222222222-2-2-2-22-2-2222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000
χ182222222222-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-222-2-222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000000000000000
χ19222222222-12222222222-1-122-1-1222-1-1-12222-1-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ20222222222-12222222222-1-122-1-1222-1-1-12222-1-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000111111111111111100000000000000000000
χ21222222222-12222-2-2-2-222-1-122-1-1222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-1-2-2-1-1-1-1-1-1-122-2-222-2-21111111111111111-1-1-1-11111-1-1-1-111110000000000000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ22222222222-12222-2-2-2-222-1-122-1-1222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-1-2-2-1-1-1-1-1-1-122-2-222-2-21111111111111111-1-1-1-11111-1-1-1-111110000000000000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ23222222222-1-2-2-2-2222222-1-122-1-1222-1-1-12222111111112222-1-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111111111112222-2-2-2-200000000-1-1-1-1-1-1-1-11111111100000000000000000000
χ24222222222-1-2-2-2-2222222-1-122-1-1222-1-1-12222111111112222-1-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-2-2-2-222220000000011111111-1-1-1-1-1-1-1-100000000000000000000
χ25222222222-1-2-2-2-2-2-2-2-222-1-122-1-1222-1-1-1-2-2-2-211111111-2-2-2-2-122-1-1-1-1-1-1-1-2-222-2-2221111-1-1-1-1111111111111-1-1-1-11111-1-1-1-10000000000000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ26222222222-1-2-2-2-2-2-2-2-222-1-122-1-1222-1-1-1-2-2-2-211111111-2-2-2-2-122-1-1-1-1-1-1-1-2-222-2-2221111-1-1-1-1111111111111-1-1-1-11111-1-1-1-10000000000000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2722222222-1222222222-1-122-1-122-1-1-1222-1-1-1-122222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000
χ2822222222-1222222222-1-122-1-122-1-1-1222-1-1-1-122222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2000000000000000011111111111111110000
χ2922222222-122222-2-2-2-2-1-122-1-122-1-1-12221111222222221111-1-2-2-1-1-1-1-1-1-1-1-111-1-111-2-2-2-2-2-2-2-211111111-1-1-1-11111-1-1-1-111110000000000000000000000000000000033−3−333−3−333−3−333−3−30000
χ3022222222-122222-2-2-2-2-1-122-1-122-1-1-12221111222222221111-1-2-2-1-1-1-1-1-1-1-1-111-1-111-2-2-2-2-2-2-2-211111111-1-1-1-11111-1-1-1-1111100000000000000000000000000000000−3−333−3−333−3−333−3−3330000
χ3122222222-12-2-2-2-22222-1-122-1-122-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-2-2-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000002222-2-2-2-20000000000000000-1-1-1-1-1-1-1-1111111110000
χ3222222222-12-2-2-2-22222-1-122-1-122-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-2-2-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000-2-2-2-22222000000000000000011111111-1-1-1-1-1-1-1-10000
χ3322222222-12-2-2-2-2-2-2-2-2-1-122-1-122-1-1-12221111-2-2-2-2-2-2-2-21111-122-1-1-1-1-1-1-111-1-111-1-1-2-2-2-22222111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000000033−3−333−3−3−3−333−3−3330000
χ3422222222-12-2-2-2-2-2-2-2-2-1-122-1-122-1-1-12221111-2-2-2-2-2-2-2-21111-122-1-1-1-1-1-1-111-1-111-1-1-2-2-2-22222111111111111-1-1-1-11111-1-1-1-100000000000000000000000000000000−3−333−3−33333−3−333−3−30000
χ35222-2-2-2-22222i2i−2i−2i-22-222222-2-2-2-22-2-2-22-2-2-2222i2i2i2i−2i−2i−2i−2i-2-2222−2i2i22-2-22-2-22i2i−2i−2i−2i−2i2i2i-2-222−2i−2i2i2i-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000000000000000
χ36222-2-2-2-2222−2i−2i2i2i-22-222222-2-2-2-22-2-2-22-2-2-222−2i−2i−2i−2i2i2i2i2i-2-22222i−2i22-2-22-2-2−2i−2i2i2i2i2i−2i−2i-2-2222i2i−2i−2i-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000000000000000
χ37222-2-2-2-222-12i2i−2i−2i2-22-222-1-1-2-2112-2-21-1122-2-2−i−i−i−iiiii22-2-2-12i−2i-1-111-1112i2i2i2i−2i−2i−2i−2i-1-111−i−iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii2i2i−2i−2i22-2-200000000−i−i−i−iiiii-1-1-1-1111100000000000000000000
χ38222-2-2-2-222-12i2i−2i−2i2-22-222-1-1-2-2112-2-21-1122-2-2−i−i−i−iiiii22-2-2-12i−2i-1-111-1112i2i2i2i−2i−2i−2i−2i-1-111−i−iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−2i−2i2i2i-2-22200000000iiii−i−i−i−i1111-1-1-1-100000000000000000000
χ39222-2-2-2-222-12i2i−2i−2i-22-2222-1-1-2-2112-2-21-11-2-222−i−i−i−iiiii-2-222-1−2i2i-1-111-1112i2i−2i−2i−2i−2i2i2i11-1-1ii−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i000000000000000033−3−3−3−333−i3−i3i3i3i3i3−i3−i300000000000000000000
χ40222-2-2-2-222-12i2i−2i−2i-22-2222-1-1-2-2112-2-21-11-2-222−i−i−i−iiiii-2-222-1−2i2i-1-111-1112i2i−2i−2i−2i−2i2i2i11-1-1ii−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000−3−33333−3−3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ41222-2-2-2-222-1−2i−2i2i2i2-22-222-1-1-2-2112-2-21-1122-2-2iiii−i−i−i−i22-2-2-1−2i2i-1-111-111−2i−2i−2i−2i2i2i2i2i-1-111ii−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i2i2i−2i−2i-2-22200000000−i−i−i−iiiii1111-1-1-1-100000000000000000000
χ42222-2-2-2-222-1−2i−2i2i2i2-22-222-1-1-2-2112-2-21-1122-2-2iiii−i−i−i−i22-2-2-1−2i2i-1-111-111−2i−2i−2i−2i2i2i2i2i-1-111ii−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−2i−2i2i2i22-2-200000000iiii−i−i−i−i-1-1-1-1111100000000000000000000
χ43222-2-2-2-222-1−2i−2i2i2i-22-2222-1-1-2-2112-2-21-11-2-222iiii−i−i−i−i-2-222-12i−2i-1-111-111−2i−2i2i2i2i2i−2i−2i11-1-1−i−iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii000000000000000033−3−3−3−333i3i3−i3−i3−i3−i3i3i300000000000000000000
χ44222-2-2-2-222-1−2i−2i2i2i-22-2222-1-1-2-2112-2-21-11-2-222iiii−i−i−i−i-2-222-12i−2i-1-111-111−2i−2i2i2i2i2i−2i−2i11-1-1−i−iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000−3−33333−3−3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ45222-2-2-2-22-122i2i−2i−2i2-22-2-1-12211-2-2-111-22-2-1-1112i2i2i2i−2i−2i−2i−2i-1-111-12i−2i-1-111-111−i−i−i−iiiii22-2-22i2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii0000000022-2-22i2i−2i−2i0000000000000000-1-1-1-11111−i−i−i−iiiii0000
χ46222-2-2-2-22-122i2i−2i−2i2-22-2-1-12211-2-2-111-22-2-1-1112i2i2i2i−2i−2i−2i−2i-1-111-12i−2i-1-111-111−i−i−i−iiiii22-2-22i2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii00000000-2-222−2i−2i2i2i00000000000000001111-1-1-1-1iiii−i−i−i−i0000
χ47222-2-2-2-22-122i2i−2i−2i-22-22-1-12211-2-2-111-22-211-1-12i2i2i2i−2i−2i−2i−2i11-1-1-1−2i2i-1-111-111−i−iiiii−i−i-2-222−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000000033−3−3−3−333i3i3−i3−i3−i3−i3i3i30000
χ48222-2-2-2-22-122i2i−2i−2i-22-22-1-12211-2-2-111-22-211-1-12i2i2i2i−2i−2i−2i−2i11-1-1-1−2i2i-1-111-111−i−iiiii−i−i-2-222−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000000000000000−3−33333−3−3−i3−i3i3i3i3i3−i3−i30000
χ49222-2-2-2-22-12−2i−2i2i2i2-22-2-1-12211-2-2-111-22-2-1-111−2i−2i−2i−2i2i2i2i2i-1-111-1−2i2i-1-111-111iiii−i−i−i−i22-2-2−2i−2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i0000000022-2-2−2i−2i2i2i0000000000000000-1-1-1-11111iiii−i−i−i−i0000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.