Finite Group Databasebeta

← Group #11786509

Character table — Group #11786509

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size1111111122222222222222222222222222222222222222224444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121272727272
order122222223344444444666666666666661212121212121212121212121212121222366666666666666666666666121212121212121212121212121212121212121212121212444444448888888812121212121212121212121212121212242424242424242424242424242424244444
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
χ5111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ7111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ9111-11-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-111111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1i−ii−i
χ10111-11-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-111111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−i-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−ii−ii
χ11111-11-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-111111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−ii−ii
χ12111-11-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-111111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111i−ii−i
χ13111-11-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-11111ii−i−i−i−iii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111i−i−ii
χ14111-11-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-11111ii−i−i−i−iii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−iii−i
χ15111-11-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−iii−i
χ16111-11-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1i−i−ii
χ172222222222-2-22222-2-222222222222222-2-2-2-222222222-2-2-2-2-2-22-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22-2-2-2-22222-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000000000
χ182222222222-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000
χ19222222222-12222222222-1-12222-1-12-1-1-12222-1-1-1-1-1-1-1-1222222-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ20222222222-12222222222-1-12222-1-12-1-1-12222-1-1-1-1-1-1-1-1222222-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000111111111111111100000000000000000000
χ21222222222-122-2-2-2-22222-1-12222-1-12-1-1-12222111111112222-2-2-1-2-211-2-211-1-1-1-1-1-111111111-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1111111112222-2-2-2-200000000-1-1-1-1-1-1-1-11111111100000000000000000000
χ22222222222-122-2-2-2-22222-1-12222-1-12-1-1-12222111111112222-2-2-1-2-211-2-211-1-1-1-1-1-111111111-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-222220000000011111111-1-1-1-1-1-1-1-100000000000000000000
χ23222222222-1-2-22222-2-222-1-12222-1-12-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-2-2-1-2-211-2-211-1-1-1-1-1-111111111-11111222211111111-1-1-1-1-1-1-1-10000000000000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ24222222222-1-2-22222-2-222-1-12222-1-12-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-2-2-1-2-211-2-211-1-1-1-1-1-111111111-11111222211111111-1-1-1-1-1-1-1-10000000000000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ25222222222-1-2-2-2-2-2-2-2-222-1-12222-1-12-1-1-1-2-2-2-211111111-2-2-2-222-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111111110000000000000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ26222222222-1-2-2-2-2-2-2-2-222-1-12222-1-12-1-1-1-2-2-2-211111111-2-2-2-222-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111111110000000000000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2722222222-1222222222-1-122-1-1-1-122-1222-1-1-1-122222222-1-1-1-122-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000
χ2822222222-1222222222-1-122-1-1-1-122-1222-1-1-1-122222222-1-1-1-122-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2000000000000000011111111111111110000
χ2922222222-1222-2-2-2-222-1-122-1-1-1-122-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-2-2-111-2-211-2-2-1-1-1-1-1-111111111-122221111-1-1-1-1-1-1-1-111111111000000002222-2-2-2-20000000000000000-1-1-1-1-1-1-1-1111111110000
χ3022222222-1222-2-2-2-222-1-122-1-1-1-122-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-2-2-111-2-211-2-2-1-1-1-1-1-111111111-122221111-1-1-1-1-1-1-1-11111111100000000-2-2-2-22222000000000000000011111111-1-1-1-1-1-1-1-10000
χ3122222222-12-2-22222-2-2-1-122-1-1-1-122-12221111222222221111-2-2-111-2-211-2-2-1-1-1-1-1-111111111-1-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000000000000000000033−3−333−3−333−3−333−3−30000
χ3222222222-12-2-22222-2-2-1-122-1-1-1-122-12221111222222221111-2-2-111-2-211-2-2-1-1-1-1-1-111111111-1-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000000000000000000000−3−333−3−333−3−333−3−3330000
χ3322222222-12-2-2-2-2-2-2-2-2-1-122-1-1-1-122-12221111-2-2-2-2-2-2-2-2111122-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111111110000000000000000000000000000000033−3−333−3−3−3−333−3−3330000
χ3422222222-12-2-2-2-2-2-2-2-2-1-122-1-1-1-122-12221111-2-2-2-2-2-2-2-2111122-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111111100000000000000000000000000000000−3−333−3−33333−3−333−3−30000
χ35222-22-2-2-2222222-2-2-2-22222-2-2-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-222222-2-22222-2-2-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000000000000000
χ36222-22-2-2-22222-2-222-2-22222-2-2-2-2-2-222-2-22222-2-2-2-22222-2-2-2-22-222222-2-2-2-222-2-2-2-22222-2-2-2-22-2-222-2-222-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000000000000000
χ37222-22-2-2-22-12222-2-2-2-222-1-1-2-2-2-2112-1112222-1-1-1-11111-2-2-2-2-22-1-2-21122-1-1-1-111111111-1-1-1-1-111-1-122-2-21111-1-1-1-1-1-1-1-11111000000000000000033−3−3−3−33333−3−3−3−33300000000000000000000
χ38222-22-2-2-22-12222-2-2-2-222-1-1-2-2-2-2112-1112222-1-1-1-11111-2-2-2-2-22-1-2-21122-1-1-1-111111111-1-1-1-1-111-1-122-2-21111-1-1-1-1-1-1-1-111110000000000000000−3−33333−3−3−3−33333−3−300000000000000000000
χ39222-22-2-2-22-122-2-222-2-222-1-1-2-2-2-2112-11122221111-1-1-1-1-2-2-2-22-2-122-1-1-2-211-1-11111-1-1-1-11111-111-1-1-2-2221111-1-1-1-11111-1-1-1-1000000000000000033−3−3−3−333−3−33333−3−300000000000000000000
χ40222-22-2-2-22-122-2-222-2-222-1-1-2-2-2-2112-11122221111-1-1-1-1-2-2-2-22-2-122-1-1-2-211-1-11111-1-1-1-11111-111-1-1-2-2221111-1-1-1-11111-1-1-1-10000000000000000−3−33333−3−333−3−3−3−33300000000000000000000
χ41222-22-2-2-22-1-2-222-2-22222-1-1-2-2-2-2112-111-2-2-2-2-1-1-1-1111122222-2-122-1-1-2-211-1-11111-1-1-1-11111-1-1-11122-2-2-1-1-1-11111-1-1-1-111112i2i−2i−2i2i2i−2i−2i00000000−i−i−i−iiiii−i−i−i−iiiii00000000000000000000
χ42222-22-2-2-22-1-2-222-2-22222-1-1-2-2-2-2112-111-2-2-2-2-1-1-1-1111122222-2-122-1-1-2-211-1-11111-1-1-1-11111-1-1-11122-2-2-1-1-1-11111-1-1-1-11111−2i−2i2i2i−2i−2i2i2i00000000iiii−i−i−i−iiiii−i−i−i−i00000000000000000000
χ43222-22-2-2-22-1-2-2-2-2222222-1-1-2-2-2-2112-111-2-2-2-21111-1-1-1-12222-22-1-2-21122-1-1-1-111111111-1-1-1-1-1-1-111-2-222-1-1-1-111111111-1-1-1-12i2i−2i−2i−2i−2i2i2i00000000−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000
χ44222-22-2-2-22-1-2-2-2-2222222-1-1-2-2-2-2112-111-2-2-2-21111-1-1-1-12222-22-1-2-21122-1-1-1-111111111-1-1-1-1-1-1-111-2-222-1-1-1-111111111-1-1-1-1−2i−2i2i2i2i2i−2i−2i00000000iiii−i−i−i−i−i−i−i−iiiii00000000000000000000
χ45222-22-2-2-2-122222-2-2-2-2-1-1221111-2-2-12-2-2-1-1-1-12222-2-2-2-21111-22-111-2-2-1-122-1-111111111-1-1-1-1-1-2-222-1-1111111-1-1-1-1-1-1-1-111110000000000000000000000000000000033−3−3−3−33333−3−3−3−3330000
χ46222-22-2-2-2-122222-2-2-2-2-1-1221111-2-2-12-2-2-1-1-1-12222-2-2-2-21111-22-111-2-2-1-122-1-111111111-1-1-1-1-1-2-222-1-1111111-1-1-1-1-1-1-1-1111100000000000000000000000000000000−3−33333−3−3−3−33333−3−30000
χ47222-22-2-2-2-1222-2-222-2-2-1-1221111-2-2-12-2-2-1-1-1-1-2-2-2-2222211112-2-1-1-12211-2-2-1-11111-1-1-1-11111-1-2-22211-1-11111-1-1-1-11111-1-1-1-10000000000000000000000000000000033−3−3−3−333−3−33333−3−30000
χ48222-22-2-2-2-1222-2-222-2-2-1-1221111-2-2-12-2-2-1-1-1-1-2-2-2-2222211112-2-1-1-12211-2-2-1-11111-1-1-1-11111-1-2-22211-1-11111-1-1-1-11111-1-1-1-100000000000000000000000000000000−3−33333−3−333−3−3−3−3330000
χ49222-22-2-2-2-12-2-222-2-222-1-1221111-2-2-12-2-211112222-2-2-2-2-1-1-1-12-2-1-1-12211-2-2-1-11111-1-1-1-11111-122-2-2-1-111-1-1-1-11111-1-1-1-111110000000022-2-222-2-20000000000000000-1-1-1-11111-1-1-1-111110000
χ50222-22-2-2-2-12-2-222-2-222-1-1221111-2-2-12-2-211112222-2-2-2-2-1-1-1-12-2-1-1-12211-2-2-1-11111-1-1-1-11111-122-2-2-1-111-1-1-1-11111-1-1-1-1111100000000-2-222-2-22200000000000000001111-1-1-1-11111-1-1-1-10000
χ51222-22-2-2-2-12-2-2-2-22222-1-1221111-2-2-12-2-21111-2-2-2-22222-1-1-1-1-22-111-2-2-1-122-1-111111111-1-1-1-1-122-2-211-1-1-1-1-1-111111111-1-1-1-10000000022-2-2-2-2220000000000000000-1-1-1-111111111-1-1-1-10000
χ52222-22-2-2-2-12-2-2-2-22222-1-1221111-2-2-12-2-21111-2-2-2-22222-1-1-1-1-22-111-2-2-1-122-1-111111111-1-1-1-1-122-2-211-1-1-1-1-1-111111111-1-1-1-100000000-2-22222-2-200000000000000001111-1-1-1-1-1-1-1-111110000
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χ11844-4-4-444-4-2-2004i−4i−4i4i00-22-2222-2-22-2222-2−23−232323−2i−2i2i2i2i2i−2i−2i2323−23−23001−2i32i3002i3−2i3001-1-1-111i3i3−i3−i3−i3−i3i3i3-10000−2i2i2i−2i−3−33333−3−3ii−i−i−i−iii0000000000000000000000000000000000000000000000000000
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χ1214-444-44-4-44400000000-44-444-4-444-4-4-4-44000000000000000000400000000-444-4-4400000000-40000000000000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.