Finite Group Databasebeta

← Group #11786752

Character table — Group #11786752

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444888888888888888812121212121212121212121212121212121212121212121212121212121212121212121224242424242472727272
order12222233444466666666663444466666666612121212121212121212121212121212121212121212121212121212121212122244444444446666121212121212121212121212121212121212121244121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111
χ711111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911-1-1-11111-11-1-1-11-111-11-1-11ii−i−i1-111-1-1-11-111-1-111-1-1iiii−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1-11-1i−ii−i11-1-111-1-1ii−i−i1111-1-1-1-111-1-1ii−i−ii−iii−i−i1-1i−i
χ1011-1-1-11111-11-1-1-11-111-11-1-11ii−i−i1-111-1-1-11-111-1-111-1-1iiii−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1-11-1i−ii−i-1-11111-1-1ii−i−i-1-1-1-1111111-1-1ii−i−i−ii−i−iii-11−ii
χ1111-1-1-11111-11-1-1-11-111-11-1-11ii−i−i1-111-1-1-11-111-1-111-1-1iiii−i−i−i−iii−i−i11-1-1iiii−i−i−i−i-11-11−ii−ii11-1-1-1-111−i−iii1111-1-1-1-1-1-111−i−iiii−iii−i−i-11−ii
χ1211-1-1-11111-11-1-1-11-111-11-1-11ii−i−i1-111-1-1-11-111-1-111-1-1iiii−i−i−i−iii−i−i11-1-1iiii−i−i−i−i-11-11−ii−ii-1-111-1-111−i−iii-1-1-1-11111-1-111−i−iii−ii−i−iii1-1i−i
χ1311-1-1-11111-11-1-1-11-111-11-1-11−i−iii1-111-1-1-11-111-1-111-1-1−i−i−i−iiiii−i−iii11-1-1−i−i−i−iiiii1-11-1−ii−ii11-1-111-1-1−i−iii1111-1-1-1-111-1-1−i−iii−ii−i−iii1-1−ii
χ1411-1-1-11111-11-1-1-11-111-11-1-11−i−iii1-111-1-1-11-111-1-111-1-1−i−i−i−iiiii−i−iii11-1-1−i−i−i−iiiii1-11-1−ii−ii-1-11111-1-1−i−iii-1-1-1-1111111-1-1−i−iiii−iii−i−i-11i−i
χ1511-1-1-11111-11-1-1-11-111-11-1-11−i−iii1-111-1-1-11-111-1-111-1-1−i−i−i−iiiii−i−iii11-1-1−i−i−i−iiiii-11-11i−ii−i11-1-1-1-111ii−i−i1111-1-1-1-1-1-111ii−i−i−ii−i−iii-11i−i
χ1611-1-1-11111-11-1-1-11-111-11-1-11−i−iii1-111-1-1-11-111-1-111-1-1−i−i−i−iiiii−i−iii11-1-1−i−i−i−iiiii-11-11i−ii−i-1-111-1-111ii−i−i-1-1-1-11111-1-111ii−i−ii−iii−i−i1-1−ii
χ1722222222-2-2-2-2222222222222-22-2222222222-2-2-2-2-2-2-2-222-2-222-2-22-22-2-2-2-2-222-2-222-2-20000000000000000000000000000000000000000000000
χ1822222222-2-2-2-222222222222-22-22222222222-2-2-2-2-2-2-2-2-2-222-2-222-22-22-2-2-2-2-2-222-2-2220000000000000000000000000000000000000000000000
χ192222222-12222222222-1-1-12-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222220000-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000
χ202222222-12222222222-1-1-12-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200001111111100000000111111110000000000
χ212222222-12222222222-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-2-1-1-1-1111111112222-2-2-2-20000-1-1-1-1111100000000-1-1-1-111110000000000
χ222222222-12222222222-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-2-1-1-1-111111111-2-2-2-2222200001111-1-1-1-1000000001111-1-1-1-10000000000
χ232222222-1-2-2-2-2222222-1-1-12-12-22-2-1-1-1-1-1-1-1-1-1-2-2-2-21111-1-111-1-1112-22-21111-1-111-1-111000000000000−i3i3−i3i3−i3i3−i3i300000000−i3i3−i3i3−i3i3−i3i30000000000
χ242222222-1-2-2-2-2222222-1-1-12-12-22-2-1-1-1-1-1-1-1-1-1-2-2-2-21111-1-111-1-1112-22-21111-1-111-1-111000000000000i3−i3i3−i3i3−i3i3−i300000000i3−i3i3−i3i3−i3i3−i30000000000
χ252222222-1-2-2-2-2222222-1-1-12-1-22-22-1-1-1-1-1-1-1-1-1-2-2-2-2111111-1-111-1-1-22-22111111-1-111-1-1000000000000−i3i3−i3i3i3−i3i3−i300000000−i3i3−i3i3i3−i3i3−i30000000000
χ262222222-1-2-2-2-2222222-1-1-12-1-22-22-1-1-1-1-1-1-1-1-1-2-2-2-2111111-1-111-1-1-22-22111111-1-111-1-1000000000000i3−i3i3−i3−i3i3−i3i300000000i3−i3i3−i3−i3i3−i3i30000000000
χ27222222-122222-1-1-1-1-1-1222-1-1222222-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000-1-1-1-1-1-1-1-10000000022-1-1-1-10000
χ28222222-122222-1-1-1-1-1-1222-1-1222222-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000001111111100000000-2-211110000
χ29222222-122222-1-1-1-1-1-1222-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-21111-1-1-1-11111111100000000222200000000-1-1-1-1-1-1-1-100000000-2-211110000
χ30222222-122222-1-1-1-1-1-1222-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-21111-1-1-1-11111111100000000-2-2-2-200000000111111110000000022-1-1-1-10000
χ31222222-12-2-2-2-2-1-1-1-1-1-1222-1-12-22-222-1-1-1-1-1-1-11111-2-2-2-222-2-222-2-2-11-111111-1-111-1-11100000000000000000000−i3−i3i3i3−i3−i3i3i30000000000−i3i3−i3i30000
χ32222222-12-2-2-2-2-1-1-1-1-1-1222-1-12-22-222-1-1-1-1-1-1-11111-2-2-2-222-2-222-2-2-11-111111-1-111-1-11100000000000000000000i3i3−i3−i3i3i3−i3−i30000000000i3−i3i3−i30000
χ33222222-12-2-2-2-2-1-1-1-1-1-1222-1-1-22-2222-1-1-1-1-1-1-11111-2-2-2-2-2-222-2-2221-11-1111111-1-111-1-100000000000000000000−i3−i3i3i3−i3−i3i3i30000000000i3−i3i3−i30000
χ34222222-12-2-2-2-2-1-1-1-1-1-1222-1-1-22-2222-1-1-1-1-1-1-11111-2-2-2-2-2-222-2-2221-11-1111111-1-111-1-100000000000000000000i3i3−i3−i3i3i3−i3−i30000000000−i3i3−i3i30000
χ352222-2-2222-2-22-2-222-2-2222220000-2-2-2-22-2-2222-22-22-22-20000000000002-22-20000000022-2-2000000002222000000000000-2-2-2-200000000000000
χ362222-2-2222-2-22-2-222-2-2222220000-2-2-2-22-2-2222-22-22-22-20000000000002-22-200000000-2-22200000000-2-2-2-2000000000000222200000000000000
χ372222-2-222-222-2-2-222-2-2222220000-2-2-2-22-2-222-22-22-22-22000000000000-22-2200000000000022-2-200000000-2-2-2-200000000000022220000000000
χ382222-2-222-222-2-2-222-2-2222220000-2-2-2-22-2-222-22-22-22-22000000000000-22-22000000000000-2-222000000002222000000000000-2-2-2-20000000000
χ392222-2-22-12-2-22-2-222-2-2-1-1-12-100001111-111-1-12-22-2-11-11−i3i3−i3i3−i3i3−i3i30000-11-11−i3i3−i3i3−i3i3−i3i322-2-200000000-1-1-1-1−i3i3−i3i3000000001111i3−i3i3−i30000000000
χ402222-2-22-12-2-22-2-222-2-2-1-1-12-100001111-111-1-12-22-2-11-11−i3i3−i3i3−i3i3−i3i30000-11-11−i3i3−i3i3−i3i3−i3i3-2-222000000001111i3−i3i3−i300000000-1-1-1-1−i3i3−i3i30000000000
χ412222-2-22-12-2-22-2-222-2-2-1-1-12-100001111-111-1-12-22-2-11-11i3−i3i3−i3i3−i3i3−i30000-11-11i3−i3i3−i3i3−i3i3−i322-2-200000000-1-1-1-1i3−i3i3−i3000000001111−i3i3−i3i30000000000
χ422222-2-22-12-2-22-2-222-2-2-1-1-12-100001111-111-1-12-22-2-11-11i3−i3i3−i3i3−i3i3−i30000-11-11i3−i3i3−i3i3−i3i3−i3-2-222000000001111−i3i3−i3i300000000-1-1-1-1i3−i3i3−i30000000000
χ432222-2-22-1-222-2-2-222-2-2-1-1-12-100001111-111-1-1-22-221-11-1−i3i3i3−i3−i3i3i3−i300001-11-1−i3i3i3−i3−i3i3i3−i3000022-2-20000i3−i3i3−i3111100000000−i3i3−i3i3-1-1-1-10000000000
χ442222-2-22-1-222-2-2-222-2-2-1-1-12-100001111-111-1-1-22-221-11-1−i3i3i3−i3−i3i3i3−i300001-11-1−i3i3i3−i3−i3i3i3−i30000-2-2220000−i3i3−i3i3-1-1-1-100000000i3−i3i3−i311110000000000
χ452222-2-22-1-222-2-2-222-2-2-1-1-12-100001111-111-1-1-22-221-11-1i3−i3−i3i3i3−i3−i3i300001-11-1i3−i3−i3i3i3−i3−i3i3000022-2-20000−i3i3−i3i3111100000000i3−i3i3−i3-1-1-1-10000000000
χ462222-2-22-1-222-2-2-222-2-2-1-1-12-100001111-111-1-1-22-221-11-1i3−i3−i3i3i3−i3−i3i300001-11-1i3−i3−i3i3i3−i3−i3i30000-2-2220000i3−i3i3−i3-1-1-1-100000000−i3i3−i3i311110000000000
χ4722-2-22-22222-2-2222-2-2-2-22-2-220000-22-2-2-2222-22-2-222-2-220000000000002-2-22000000002-2-220000000022-2-2000000000000-2-22200000000000000
χ4822-2-22-22222-2-2222-2-2-2-22-2-220000-22-2-2-2222-22-2-222-2-220000000000002-2-2200000000-222-200000000-2-22200000000000022-2-200000000000000
χ4922-2-22-222-2-222222-2-2-2-22-2-220000-22-2-2-2222-2-222-2-222-2000000000000-222-20000000000002i−2i−2i2i00000000−2i−2i2i2i0000000000002i2i−2i−2i0000000000
χ5022-2-22-222-2-222222-2-2-2-22-2-220000-22-2-2-2222-2-222-2-222-2000000000000-222-2000000000000−2i2i2i−2i000000002i2i−2i−2i000000000000−2i−2i2i2i0000000000
χ5122-2-22-22-122-2-2222-2-2-21-11-2-100001-1111-1-1-112-2-22-111-13−33−3−33−330000-111-13−33−3−33−332-2-2200000000-1-1113−3−330000000011-1-1−333−30000000000
χ5222-2-22-22-122-2-2222-2-2-21-11-2-100001-1111-1-1-112-2-22-111-13−33−3−33−330000-111-13−33−3−33−33-222-20000000011-1-1−333−300000000-1-1113−3−330000000000
χ5322-2-22-22-122-2-2222-2-2-21-11-2-100001-1111-1-1-112-2-22-111-1−33−333−33−30000-111-1−33−333−33−32-2-2200000000-1-111−333−30000000011-1-13−3−330000000000
χ5422-2-22-22-122-2-2222-2-2-21-11-2-100001-1111-1-1-112-2-22-111-1−33−333−33−30000-111-1−33−333−33−3-222-20000000011-1-13−3−3300000000-1-111−333−30000000000
χ5522-2-22-22-1-2-222222-2-2-21-11-2-100001-1111-1-1-11-222-21-1-113−3−33−333−300001-1-113−3−33−333−300002i−2i−2i2i0000i3−i3−i3i3ii−i−i00000000−i3i3i3−i3−i−iii0000000000
χ5622-2-22-22-1-2-222222-2-2-21-11-2-100001-1111-1-1-11-222-21-1-113−3−33−333−300001-1-113−3−33−333−30000−2i2i2i−2i0000−i3i3i3−i3−i−iii00000000i3−i3−i3i3ii−i−i0000000000
χ5722-2-22-22-1-2-222222-2-2-21-11-2-100001-1111-1-1-11-222-21-1-11−333−33−3−3300001-1-11−333−33−3−3300002i−2i−2i2i0000−i3i3i3−i3ii−i−i00000000i3−i3−i3i3−i−iii0000000000
χ5822-2-22-22-1-2-222222-2-2-21-11-2-100001-1111-1-1-11-222-21-1-11−333−33−3−3300001-1-11−333−33−3−330000−2i2i2i−2i0000i3−i3−i3i3−i−iii00000000−i3i3i3−i3ii−i−i0000000000
χ5922-2-2-2222-22-22-2-22-222-22-2-222i−2i−2i2i2-222-2-2-22-2-2-222-2-2222i2i−2i−2i−2i−2i2i2i2i−2i−2i2i-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ6022-2-2-2222-22-22-2-22-222-22-2-22−2i2i2i−2i2-222-2-2-22-2-2-222-2-222−2i−2i2i2i2i2i−2i−2i−2i2i2i−2i-2-222−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ6122-2-2-222-12-22-2-2-22-2221-11-2-12i2i−2i−2i-11-1-1111-1122-2-2-1-111−i−i−i−iiiii2i2i−2i−2i-1-111−i−i−i−iiiii2-22-22i−2i2i−2i0000-1-111−i−iii00000000-1-111−i−iii0000000000
χ6222-2-2-222-12-22-2-2-22-2221-11-2-12i2i−2i−2i-11-1-1111-1122-2-2-1-111−i−i−i−iiiii2i2i−2i−2i-1-111−i−i−i−iiiii-22-22−2i2i−2i2i000011-1-1ii−i−i0000000011-1-1ii−i−i0000000000
χ6322-2-2-222-12-22-2-2-22-2221-11-2-1−2i−2i2i2i-11-1-1111-1122-2-2-1-111iiii−i−i−i−i−2i−2i2i2i-1-111iiii−i−i−i−i2-22-2−2i2i−2i2i0000-1-111ii−i−i00000000-1-111ii−i−i0000000000
χ6422-2-2-222-12-22-2-2-22-2221-11-2-1−2i−2i2i2i-11-1-1111-1122-2-2-1-111iiii−i−i−i−i−2i−2i2i2i-1-111iiii−i−i−i−i-22-222i−2i2i−2i000011-1-1−i−iii0000000011-1-1−i−iii0000000000
χ6522-2-2-222-1-22-22-2-22-2221-11-2-12i−2i−2i2i-11-1-1111-11-2-22211-1-1−i−iiiii−i−i2i−2i−2i2i11-1-1−i−iiiii−i−i000000000000−i3i3i3−i33−3−3300000000−i3i3i3−i33−3−330000000000
χ6622-2-2-222-1-22-22-2-22-2221-11-2-12i−2i−2i2i-11-1-1111-11-2-22211-1-1−i−iiiii−i−i2i−2i−2i2i11-1-1−i−iiiii−i−i000000000000i3−i3−i3i3−333−300000000i3−i3−i3i3−333−30000000000
χ6722-2-2-222-1-22-22-2-22-2221-11-2-1−2i2i2i−2i-11-1-1111-11-2-22211-1-1ii−i−i−i−iii−2i2i2i−2i11-1-1ii−i−i−i−iii000000000000−i3i3i3−i3−333−300000000−i3i3i3−i3−333−30000000000
χ6822-2-2-222-1-22-22-2-22-2221-11-2-1−2i2i2i−2i-11-1-1111-11-2-22211-1-1ii−i−i−i−iii−2i2i2i−2i11-1-1ii−i−i−i−iii000000000000i3−i3−i3i33−3−3300000000i3−i3−i3i33−3−330000000000
χ6922-2-2-22-122-22-211-11-1-1-22-21-12i2i−2i−2i2-2-1-1111-11-1-11122-2-22i2i2i2i−2i−2i−2i−2i−i−iii-1-111−i−i−i−iiiii0000000022-2-200000000-1-1-1-11111000000002i−2i−i−iii0000
χ7022-2-2-22-122-22-211-11-1-1-22-21-12i2i−2i−2i2-2-1-1111-11-1-11122-2-22i2i2i2i−2i−2i−2i−2i−i−iii-1-111−i−i−i−iiiii00000000-2-222000000001111-1-1-1-100000000−2i2iii−i−i0000
χ7122-2-2-22-122-22-211-11-1-1-22-21-1−2i−2i2i2i2-2-1-1111-11-1-11122-2-2−2i−2i−2i−2i2i2i2i2iii−i−i-1-111iiii−i−i−i−i0000000022-2-200000000-1-1-1-1111100000000−2i2iii−i−i0000
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χ974-44-40044000000-4400-4-44-4400000000-400-4400000000000000000000000000000000000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i000000000000000000
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χ1098-88-8008-4000000-880044-4-8-4000000004004-4000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1118-88-800-4-400004i3−4i34-44i3−4i344-442000000−2i32i3-2−2i32i3-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88008-4000000-8-800-4448-400000000-40044000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-8800-4-40000−4i34i3444i3−4i3-444-42000000−2i32i322i3−2i3-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8800-4-400004i3−4i344−4i34i3-444-420000002i3−2i32−2i32i3-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.