Finite Group Databasebeta

← Group #11787552

Character table — Group #11787552

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size1111111122222222222222222222222222222222222222224444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121272727272
order12222222334444444466666666666666121212121212121212121212121212123446666666121212121212121212121212121212121212121212121212121212121212121212121212121212122222444466666666888888881212121212121212242424242424242424242424242424242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
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
χ5111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ7111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1
χ9111-11-1-1-1111-1ii−i−i1-111-1-111-1-11-1-11-1-111-1-1iiii−i−i−i−i11-1-11i−i11-1-11-1-111-1-1iiiiii−i−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i1111-1-1-1-111-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i
χ10111-11-1-1-1111-1ii−i−i1-111-1-111-1-11-1-11-1-111-1-1iiii−i−i−i−i11-1-11i−i11-1-11-1-111-1-1iiiiii−i−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i1111-1-1-1-1-1-111−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-11−ii
χ11111-11-1-1-1111-1ii−i−i1-111-1-111-1-11-1-11-1-111-1-1iiii−i−i−i−i11-1-11i−i11-1-11-1-111-1-1iiiiii−i−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-1-1-1-1111111-1-1ii−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-11−ii
χ12111-11-1-1-1111-1ii−i−i1-111-1-111-1-11-1-11-1-111-1-1iiii−i−i−i−i11-1-11i−i11-1-11-1-111-1-1iiiiii−i−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-1-1-1-11111-1-111−i−iii−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii1-1i−i
χ13111-11-1-1-1111-1−i−iii1-111-1-111-1-11-1-11-1-111-1-1−i−i−i−iiiii11-1-11−ii11-1-11-1-111-1-1−i−i−i−i−i−iiiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii1111-1-1-1-111-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1-1−ii
χ14111-11-1-1-1111-1−i−iii1-111-1-111-1-11-1-11-1-111-1-1−i−i−i−iiiii11-1-11−ii11-1-11-1-111-1-1−i−i−i−i−i−iiiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii1111-1-1-1-1-1-111ii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-11i−i
χ15111-11-1-1-1111-1−i−iii1-111-1-111-1-11-1-11-1-111-1-1−i−i−i−iiiii11-1-11−ii11-1-11-1-111-1-1−i−i−i−i−i−iiiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-1-1-1-1111111-1-1−i−iiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-11i−i
χ16111-11-1-1-1111-1−i−iii1-111-1-111-1-11-1-11-1-111-1-1−i−i−i−iiiii11-1-11−ii11-1-11-1-111-1-1−i−i−i−i−i−iiiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-1-1-1-11111-1-111ii−i−iiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i1-1−ii
χ172222222222-2-22222-2-222222222222222-2-2-2-222222222-2-2-2-22-2-22222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000
χ182222222222-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000000000000000
χ19222222222-1222222222222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-100000000000000000000
χ20222222222-1222222222222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111000000001111111100000000000000000000
χ21222222222-122-2-2-2-2222222-1-1-1-1222-1-1-12222111111112222-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-211-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1000000001111111100000000000000000000
χ22222222222-122-2-2-2-2222222-1-1-1-1222-1-1-12222111111112222-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-211-1-1-1-1-1-1-1-11111111111111111-2-2-2-222221111111100000000-1-1-1-1-1-1-1-100000000000000000000
χ23222222222-1-2-22222-2-22222-1-1-1-1222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-1-2-2-1-1-1-1-1-1-1111122-2-21122-2-21111111111-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i300000000−i3−i3i3i3−i3−i3i3i300000000000000000000
χ24222222222-1-2-22222-2-22222-1-1-1-1222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-1-2-2-1-1-1-1-1-1-1111122-2-21122-2-21111111111-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i300000000i3i3−i3−i3i3i3−i3−i300000000000000000000
χ25222222222-1-2-2-2-2-2-2-2-22222-1-1-1-1222-1-1-1-2-2-2-211111111-2-2-2-2-122-1-1-1-1-1-1-11111-2-222-1-1-2-222-1-1111111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i300000000i3i3−i3−i3i3i3−i3−i300000000000000000000
χ26222222222-1-2-2-2-2-2-2-2-22222-1-1-1-1222-1-1-1-2-2-2-211111111-2-2-2-2-122-1-1-1-1-1-1-11111-2-222-1-1-2-222-1-1111111111111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i300000000−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2722222222-1222222222-1-1-1-12222-1-1-1222-1-1-1-122222222-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000
χ2822222222-1222222222-1-1-1-12222-1-1-1222-1-1-1-122222222-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2-2-2-2-20000000011111111111111110000
χ2922222222-1222-2-2-2-222-1-1-1-12222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-2-2-1-1-1-1-1-1-122221111-2-21111-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000002222-2-2-2-200000000-1-1-1-1-1-1-1-1111111110000
χ3022222222-1222-2-2-2-222-1-1-1-12222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-2-2-1-1-1-1-1-1-122221111-2-21111-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000-2-2-2-222220000000011111111-1-1-1-1-1-1-1-10000
χ3122222222-12-2-22222-2-2-1-1-1-12222-1-1-12221111222222221111-1-2-2-1-1-1-1-1-1-1-2-2-2-2-1-111-2-2-1-111-2-211111111-1-1-1-11111-1-1-1-111110000000000000000000000000000000033−3−333−3−333−3−333−3−30000
χ3222222222-12-2-22222-2-2-1-1-1-12222-1-1-12221111222222221111-1-2-2-1-1-1-1-1-1-1-2-2-2-2-1-111-2-2-1-111-2-211111111-1-1-1-11111-1-1-1-1111100000000000000000000000000000000−3−333−3−333−3−333−3−3330000
χ3322222222-12-2-2-2-2-2-2-2-2-1-1-1-12222-1-1-12221111-2-2-2-2-2-2-2-21111-122-1-1-1-1-1-1-1-2-2-2-211-1-12211-1-122111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000000033−3−333−3−3−3−333−3−3330000
χ3422222222-12-2-2-2-2-2-2-2-2-1-1-1-12222-1-1-12221111-2-2-2-2-2-2-2-21111-122-1-1-1-1-1-1-1-2-2-2-211-1-12211-1-122111111111111-1-1-1-11111-1-1-1-100000000000000000000000000000000−3−333−3−33333−3−333−3−30000
χ35222-22-2-2-222-222i2i−2i−2i-2222-2-222-2-22-2-22-2-2-2-2222i2i2i2i−2i−2i−2i−2i-2-2222−2i2i22-2-22-2-2-2-2222i2i−2i−2i−2i−2i−2i−2i2i2i2i2i-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000000000000000
χ36222-22-2-2-222-22−2i−2i2i2i-2222-2-222-2-22-2-22-2-2-2-222−2i−2i−2i−2i2i2i2i2i-2-22222i−2i22-2-22-2-2-2-222−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000000000000000
χ37222-22-2-2-22-12-22i2i−2i−2i2-222-2-2-1-1112-2-2-11122-2-2−i−i−i−iiiii22-2-2-12i−2i-1-111-111-1-1112i2i2i2i−i−i−2i−2i−2i−2iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii22-2-22i2i−2i−2i-1-1-1-1111100000000−i−i−i−iiiii00000000000000000000
χ38222-22-2-2-22-12-22i2i−2i−2i2-222-2-2-1-1112-2-2-11122-2-2−i−i−i−iiiii22-2-2-12i−2i-1-111-111-1-1112i2i2i2i−i−i−2i−2i−2i−2iii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-2-222−2i−2i2i2i1111-1-1-1-100000000iiii−i−i−i−i00000000000000000000
χ39222-22-2-2-22-12-2−2i−2i2i2i2-222-2-2-1-1112-2-2-11122-2-2iiii−i−i−i−i22-2-2-1−2i2i-1-111-111-1-111−2i−2i−2i−2iii2i2i2i2i−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i22-2-2−2i−2i2i2i-1-1-1-1111100000000iiii−i−i−i−i00000000000000000000
χ40222-22-2-2-22-12-2−2i−2i2i2i2-222-2-2-1-1112-2-2-11122-2-2iiii−i−i−i−i22-2-2-1−2i2i-1-111-111-1-111−2i−2i−2i−2iii2i2i2i2i−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-2-2222i2i−2i−2i1111-1-1-1-100000000−i−i−i−iiiii00000000000000000000
χ41222-22-2-2-22-1-222i2i−2i−2i-2222-2-2-1-1112-2-2-111-2-222−i−i−i−iiiii-2-222-1−2i2i-1-111-11111-1-12i2i−2i−2iii−2i−2i2i2i−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000−i3−i3i3i3i3i3−i3−i30000000033−3−3−3−33300000000000000000000
χ42222-22-2-2-22-1-222i2i−2i−2i-2222-2-2-1-1112-2-2-111-2-222−i−i−i−iiiii-2-222-1−2i2i-1-111-11111-1-12i2i−2i−2iii−2i−2i2i2i−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000i3i3−i3−i3−i3−i3i3i300000000−3−33333−3−300000000000000000000
χ43222-22-2-2-22-1-22−2i−2i2i2i-2222-2-2-1-1112-2-2-111-2-222iiii−i−i−i−i-2-222-12i−2i-1-111-11111-1-1−2i−2i2i2i−i−i2i2i−2i−2iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000−i3−i3i3i3i3i3−i3−i300000000−3−33333−3−300000000000000000000
χ44222-22-2-2-22-1-22−2i−2i2i2i-2222-2-2-1-1112-2-2-111-2-222iiii−i−i−i−i-2-222-12i−2i-1-111-11111-1-1−2i−2i2i2i−i−i2i2i−2i−2iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000i3i3−i3−i3−i3−i3i3i30000000033−3−3−3−33300000000000000000000
χ45222-22-2-2-2-122-22i2i−2i−2i2-2-1-11122-2-2-1112-2-2-1-1112i2i2i2i−2i−2i−2i−2i-1-111-12i−2i-1-111-11122-2-2−i−i−i−i2i2iiiii−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii000000000000000022-2-22i2i−2i−2i00000000-1-1-1-11111−i−i−i−iiiii0000
χ46222-22-2-2-2-122-22i2i−2i−2i2-2-1-11122-2-2-1112-2-2-1-1112i2i2i2i−2i−2i−2i−2i-1-111-12i−2i-1-111-11122-2-2−i−i−i−i2i2iiiii−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000-2-222−2i−2i2i2i000000001111-1-1-1-1iiii−i−i−i−i0000
χ47222-22-2-2-2-122-2−2i−2i2i2i2-2-1-11122-2-2-1112-2-2-1-111−2i−2i−2i−2i2i2i2i2i-1-111-1−2i2i-1-111-11122-2-2iiii−2i−2i−i−i−i−i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i000000000000000022-2-2−2i−2i2i2i00000000-1-1-1-11111iiii−i−i−i−i0000
χ48222-22-2-2-2-122-2−2i−2i2i2i2-2-1-11122-2-2-1112-2-2-1-111−2i−2i−2i−2i2i2i2i2i-1-111-1−2i2i-1-111-11122-2-2iiii−2i−2i−i−i−i−i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000-2-2222i2i−2i−2i000000001111-1-1-1-1−i−i−i−iiiii0000
χ49222-22-2-2-2-12-222i2i−2i−2i-22-1-11122-2-2-1112-2-211-1-12i2i2i2i−2i−2i−2i−2i11-1-1-1−2i2i-1-111-111-2-222−i−iii−2i−2iii−i−i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000000033−3−3−3−333i3i3−i3−i3−i3−i3i3i30000
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χ107444-44-4-4-4-2-2-444i4i−4i−4i-44-2-222-2-222-222-22222-2-2−2i−2i−2i−2i2i2i2i2i22-2-21−4i4i11-1-11-1-122-2-2−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000000000000000000000000000
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χ11544-4-4-4-4444-2004-4-44004-4-44-222-2-4-4422-20000-2-22222-2-20000-200-222-222-200004-40000-44000000000000-2-222000022-2-200000000000000000000000000000000000000000000000000000000
χ11644-4-4-4-4444-200-444-4004-4-44-222-2-4-4422-2000022-2-2-2-2220000-200-222-222-20000-4400004-400000000000022-2-20000-2-22200000000000000000000000000000000000000000000000000000000
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χ11944-4-4-4-444-2-200-444-400-222-2-222-222-222-223−23−232322-2-2-2-22223−23−23231001-1-11-1-1100002-223−2300-22−232300−3−33333−3−3-1-111−3−33311-1-133−3−30000000000000000000000000000000000000000000000000000
χ12044-4-4-4-444-2-200-444-400-222-2-222-222-222-2−232323−2322-2-2-2-222−232323−231001-1-11-1-1100002-2−232300-2223−230033−3−3−3−333-1-11133−3−311-1-1−3−3330000000000000000000000000000000000000000000000000000
χ1214-444-4-44-44400000000-444-4-444-4-4-44-4-440000000000000000400-444-4-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.