Finite Group Databasebeta

← Group #11789100

Character table — Group #11789100

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
χ5111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ7111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ91-11-11-11-1111-1ii−i−i1-1111-1-1-111-1-1-1-11-111-1-1iiii−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−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i
χ101-11-11-11-1111-1ii−i−i1-1111-1-1-111-1-1-1-11-111-1-1iiii−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−i-1-111−i−iii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-11−ii
χ111-11-11-11-1111-1ii−i−i1-1111-1-1-111-1-1-1-11-111-1-1iiii−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−iii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-11−ii
χ121-11-11-11-1111-1ii−i−i1-1111-1-1-111-1-1-1-11-111-1-1iiii−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-1-111−i−iii-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii1-1i−i
χ131-11-11-11-1111-1−i−iii1-1111-1-1-111-1-1-1-11-111-1-1−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−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1-1−ii
χ141-11-11-11-1111-1−i−iii1-1111-1-1-111-1-1-1-11-111-1-1−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−iii-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-11i−i
χ151-11-11-11-1111-1−i−iii1-1111-1-1-111-1-1-1-11-111-1-1−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−i11-1-1−i−iii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-11i−i
χ161-11-11-11-1111-1−i−iii1-1111-1-1-111-1-1-1-11-111-1-1−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-1-111ii−i−i-1-1-1-11111iiii−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
χ19222222222-12222222222-122-12-122-1-1-1-12222-1-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ20222222222-12222222222-122-12-122-1-1-1-12222-1-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000111111111111111100000000000000000000
χ21222222222-122-2-2-2-22222-122-12-122-1-1-1-12222111111112222-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-211-1-1-1-1-1-1-1-111111111111111112222-2-2-2-200000000-1-1-1-1-1-1-1-11111111100000000000000000000
χ22222222222-122-2-2-2-22222-122-12-122-1-1-1-12222111111112222-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-211-1-1-1-1-1-1-1-11111111111111111-2-2-2-222220000000011111111-1-1-1-1-1-1-1-100000000000000000000
χ23222222222-1-2-22222-2-222-122-12-122-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-1-2-2-1-1-1-1-1-1-1111122-2-21122-2-21111111111-1-1-1-11111-1-1-1-111110000000000000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ24222222222-1-2-22222-2-222-122-12-122-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-1-2-2-1-1-1-1-1-1-1111122-2-21122-2-21111111111-1-1-1-11111-1-1-1-111110000000000000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ25222222222-1-2-2-2-2-2-2-2-222-122-12-122-1-1-1-1-2-2-2-211111111-2-2-2-2-122-1-1-1-1-1-1-11111-2-222-1-1-2-222-1-1111111111111-1-1-1-11111-1-1-1-10000000000000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ26222222222-1-2-2-2-2-2-2-2-222-122-12-122-1-1-1-1-2-2-2-211111111-2-2-2-2-122-1-1-1-1-1-1-11111-2-222-1-1-2-222-1-1111111111111-1-1-1-11111-1-1-1-10000000000000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2722222222-1222222222-1-12-1-12-12-1-12222-1-1-1-122222222-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000
χ2822222222-1222222222-1-12-1-12-12-1-12222-1-1-1-122222222-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2000000000000000011111111111111110000
χ2922222222-1222-2-2-2-222-1-12-1-12-12-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-2-2-1-1-1-1-1-1-122221111-2-21111-2-2-1-1-1-1-1-1-1-11111111111111111000000002222-2-2-2-20000000000000000-1-1-1-1-1-1-1-1111111110000
χ3022222222-1222-2-2-2-222-1-12-1-12-12-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-2-2-1-1-1-1-1-1-122221111-2-21111-2-2-1-1-1-1-1-1-1-1111111111111111100000000-2-2-2-22222000000000000000011111111-1-1-1-1-1-1-1-10000
χ3122222222-12-2-22222-2-2-1-12-1-12-12-1-122221111222222221111-1-2-2-1-1-1-1-1-1-1-2-2-2-2-1-111-2-2-1-111-2-211111111-1-1-1-11111-1-1-1-111110000000000000000000000000000000033−3−333−3−333−3−333−3−30000
χ3222222222-12-2-22222-2-2-1-12-1-12-12-1-122221111222222221111-1-2-2-1-1-1-1-1-1-1-2-2-2-2-1-111-2-2-1-111-2-211111111-1-1-1-11111-1-1-1-1111100000000000000000000000000000000−3−333−3−333−3−333−3−3330000
χ3322222222-12-2-2-2-2-2-2-2-2-1-12-1-12-12-1-122221111-2-2-2-2-2-2-2-21111-122-1-1-1-1-1-1-1-2-2-2-211-1-12211-1-122111111111111-1-1-1-11111-1-1-1-10000000000000000000000000000000033−3−333−3−3−3−333−3−3330000
χ3422222222-12-2-2-2-2-2-2-2-2-1-12-1-12-12-1-122221111-2-2-2-2-2-2-2-21111-122-1-1-1-1-1-1-1-2-2-2-211-1-12211-1-122111111111111-1-1-1-11111-1-1-1-100000000000000000000000000000000−3−333−3−33333−3−333−3−30000
χ35222-2-22-2-222220000-2-2-2-2-222222-2-2-2-2-22222200000000-2-2-2-2200-2-2222-2-22-22-200000000000022-2-222-2-2000000000000000000002-22-200000000000000002-22-22-22-200000000000000000000
χ36222-2-22-2-222220000-2-2-2-2-222222-2-2-2-2-22222200000000-2-2-2-2200-2-2222-2-22-22-200000000000022-2-222-2-200000000000000000000-22-220000000000000000-22-22-22-2200000000000000000000
χ37222-2-22-2-222-2-2000022-2-2-222222-2-2-2-2-22-2-2-2-2000000002222200-2-2222-2-2-22-22000000000000-2-222-2-22200000000000000002i−2i2i−2i0000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ38222-2-22-2-222-2-2000022-2-2-222222-2-2-2-2-22-2-2-2-2000000002222200-2-2222-2-2-22-22000000000000-2-222-2-2220000000000000000−2i2i−2i2i000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
χ39222-2-22-2-22-1220000-2-2-2-2122-12-1-2-2111-1222233−3−333−3−3-2-2-2-2-10011-1-1-111-11-1100003−300003−3-1-111-1-11133−3−333−3−333−3−333−3−300002-22-2000000003−3−333−3−33-11-11-11-1100000000000000000000
χ40222-2-22-2-22-1220000-2-2-2-2122-12-1-2-2111-1222233−3−333−3−3-2-2-2-2-10011-1-1-111-11-1100003−300003−3-1-111-1-11133−3−333−3−333−3−333−3−30000-22-2200000000−333−3−333−31-11-11-11-100000000000000000000
χ41222-2-22-2-22-1220000-2-2-2-2122-12-1-2-2111-12222−3−333−3−333-2-2-2-2-10011-1-1-111-11-110000−330000−33-1-111-1-111−3−333−3−333−3−333−3−33300002-22-200000000−333−3−333−3-11-11-11-1100000000000000000000
χ42222-2-22-2-22-1220000-2-2-2-2122-12-1-2-2111-12222−3−333−3−333-2-2-2-2-10011-1-1-111-11-110000−330000−33-1-111-1-111−3−333−3−333−3−333−3−3330000-22-22000000003−3−333−3−331-11-11-11-100000000000000000000
χ43222-2-22-2-22-1-2-2000022-2-2122-12-1-2-2111-1-2-2-2-233−3−333−3−32222-10011-1-1-1111-11-10000−330000−3311-1-111-1-133−3−3−3−33333−3−3−3−3332i−2i2i−2i000000000000−ii−ii−ii−ii−i3i3i3−i3−i3i3i3−i300000000000000000000
χ44222-2-22-2-22-1-2-2000022-2-2122-12-1-2-2111-1-2-2-2-233−3−333−3−32222-10011-1-1-1111-11-10000−330000−3311-1-111-1-133−3−3−3−33333−3−3−3−333−2i2i−2i2i000000000000i−ii−ii−ii−ii3−i3−i3i3i3−i3−i3i300000000000000000000
χ45222-2-22-2-22-1-2-2000022-2-2122-12-1-2-2111-1-2-2-2-2−3−333−3−3332222-10011-1-1-1111-11-100003−300003−311-1-111-1-1−3−33333−3−3−3−33333−3−32i−2i2i−2i000000000000−ii−ii−ii−iii3−i3−i3i3i3−i3−i3i300000000000000000000
χ46222-2-22-2-22-1-2-2000022-2-2122-12-1-2-2111-1-2-2-2-2−3−333−3−3332222-10011-1-1-1111-11-100003−300003−311-1-111-1-1−3−33333−3−3−3−33333−3−3−2i2i−2i2i000000000000i−ii−ii−ii−i−i3i3i3−i3−i3i3i3−i300000000000000000000
χ4722-2-2-2-22222002-22-2002-222-22-2-22-22-2-2-200002-22-22-22-200002002-22-2-22-200002-200002-20000000000002-22-200002-22-2000000000000−i2i2−i2i2−i2i2−i2i20000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000
χ4822-2-2-2-22222002-22-2002-222-22-2-22-22-2-2-200002-22-22-22-200002002-22-2-22-200002-200002-20000000000002-22-200002-22-2000000000000i2−i2i2−i2i2−i2i2−i20000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000
χ4922-2-2-2-2222200-22-22002-222-22-2-22-22-2-2-20000-22-22-22-2200002002-22-2-22-20000-220000-22000000000000-22-220000-22-22000000000000−i2i2−i2i2i2−i2i2−i20000000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000
χ5022-2-2-2-2222200-22-22002-222-22-2-22-22-2-2-20000-22-22-22-2200002002-22-2-22-20000-220000-22000000000000-22-220000-22-22000000000000i2−i2i2−i2−i2i2−i2i20000000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000
χ5122-2-2-2-222-12002-22-200-112-1121-2-112-2-2-23−33−32-22-22-22-23−33−3-100-11-111-110000-113−300-113−3003−33−33−33−3-11-113−33−3-11-113−33−300000000−i2i2−i2i2−i2i2−i2i20000000000000000ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000
χ5222-2-2-2-222-12002-22-200-112-1121-2-112-2-2-23−33−32-22-22-22-23−33−3-100-11-111-110000-113−300-113−3003−33−33−33−3-11-113−33−3-11-113−33−300000000i2−i2i2−i2i2−i2i2−i20000000000000000−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.