Finite Group Databasebeta

← Group #11787910

Character table — Group #11787910

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444888888888888888812121212121212121212121212121212121212121212121212121212121212121212121224242424242472727272
order12222233444466666666663444466666666612121212121212121212121212121212121212121212121212121212121212124444444444441212121212121212121212121212121212121212121212122266668888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
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
χ511111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111
χ711111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ911-1-1-111111-1-1-1-1-1-11111-1-1111-1-11-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1ii−i−iii−i−i11-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-111-1-1i−ii−i
χ1011-1-1-111111-1-1-1-1-1-11111-1-1111-1-11-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1ii−i−iii−i−i-1-111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-11-1-111−ii−ii
χ1111-1-1-111111-1-1-1-1-1-11111-1-1111-1-11-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1−i−iii−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-111-1-1−ii−ii
χ1211-1-1-111111-1-1-1-1-1-11111-1-1111-1-11-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1−i−iii−i−iii-1-111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-11-1-111i−ii−i
χ1311-1-1-111111-1-1-1-1-1-11111-1-11-1-1111-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111ii−i−i−i−iii11-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-11-1-111i−i−ii
χ1411-1-1-111111-1-1-1-1-1-11111-1-11-1-1111-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111ii−i−i−i−iii-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-111-1-1−iii−i
χ1511-1-1-111111-1-1-1-1-1-11111-1-11-1-1111-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111−i−iiiii−i−i11-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-11-1-111−iii−i
χ1611-1-1-111111-1-1-1-1-1-11111-1-11-1-1111-111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111−i−iiiii−i−i-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-111-1-1i−i−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
χ192222222-12222-1-1-1-12-1-1-122-1222222-1-1-1-1-1-1-122-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1000000000000000022-1-1-1-10000
χ202222222-12222-1-1-1-12-1-1-122-1222222-1-1-1-1-1-1-122-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2111111110000000000000000-2-211110000
χ212222222-12222-1-1-1-12-1-1-122-1-2-2-2-222-1-1-1-1-1-1-122-1-122-1-1-2-2-2-2-2-2-2-21111-1-1-1-111111111000000002222-1-1-1-1-1-1-1-10000000000000000-2-211110000
χ222222222-12222-1-1-1-12-1-1-122-1-2-2-2-222-1-1-1-1-1-1-122-1-122-1-1-2-2-2-2-2-2-2-21111-1-1-1-11111111100000000-2-2-2-211111111000000000000000022-1-1-1-10000
χ232222222-1-2-2-2-2-1-1-1-12-1-1-122-12-22-222-1-1-1-1-1-1-1-2-211-2-21122-2-222-2-2-11-111111-1-111-1-111000000000000−i3−i3i3i3−i3−i3i3i3000000000000000000−i3i3−i3i30000
χ242222222-1-2-2-2-2-1-1-1-12-1-1-122-12-22-222-1-1-1-1-1-1-1-2-211-2-21122-2-222-2-2-11-111111-1-111-1-111000000000000i3i3−i3−i3i3i3−i3−i3000000000000000000i3−i3i3−i30000
χ252222222-1-2-2-2-2-1-1-1-12-1-1-122-1-22-2222-1-1-1-1-1-1-1-2-211-2-211-2-222-2-2221-11-1111111-1-111-1-1000000000000−i3−i3i3i3−i3−i3i3i3000000000000000000i3−i3i3−i30000
χ262222222-1-2-2-2-2-1-1-1-12-1-1-122-1-22-2222-1-1-1-1-1-1-1-2-211-2-211-2-222-2-2221-11-1111111-1-111-1-1000000000000i3i3−i3−i3i3i3−i3−i3000000000000000000−i3i3−i3i30000
χ27222222-1222222222-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ28222222-1222222222-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000000011111111111111110000000000
χ29222222-1222222222-1222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-122-1-12211111111-2-2-2-2-1-1-1-1111111112222-2-2-2-2000000000000-1-1-1-1-1-1-1-1111111110000000000
χ30222222-1222222222-1222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-122-1-12211111111-2-2-2-2-1-1-1-111111111-2-2-2-2222200000000000011111111-1-1-1-1-1-1-1-10000000000
χ31222222-12-2-2-2-22222-1222-1-1-12-22-2-1-1-1-1-1-1-1-1-111-2-211-2-2-1-111-1-1112-22-21111-1-111-1-11100000000000000000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000
χ32222222-12-2-2-2-22222-1222-1-1-12-22-2-1-1-1-1-1-1-1-1-111-2-211-2-2-1-111-1-1112-22-21111-1-111-1-11100000000000000000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000
χ33222222-12-2-2-2-22222-1222-1-1-1-22-22-1-1-1-1-1-1-1-1-111-2-211-2-211-1-111-1-1-22-22111111-1-111-1-100000000000000000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000
χ34222222-12-2-2-2-22222-1222-1-1-1-22-22-1-1-1-1-1-1-1-1-111-2-211-2-211-1-111-1-1-22-22111111-1-111-1-100000000000000000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000
χ352222-2-2222-22-222-2-222-2-22220000-2-2-2-222-2-222-22-22-22-20000000000002-22-20000000000002-22-2000000000000000000002-22-22-22-20000000000
χ362222-2-2222-22-222-2-222-2-22220000-2-2-2-222-2-222-22-22-22-20000000000002-22-2000000000000-22-2200000000000000000000-22-22-22-220000000000
χ372222-2-222-22-2222-2-222-2-22220000-2-2-2-222-2-22-22-22-22-22000000000000-22-22000000002-22-200000000000000002-22-22-22-2000000000000000000
χ382222-2-222-22-2222-2-222-2-22220000-2-2-2-222-2-22-22-22-22-22000000000000-22-2200000000-22-220000000000000000-22-22-22-22000000000000000000
χ392222-2-2-122-22-222-2-2-12-2-2-1-1-100001111-1-111-1-112-2-112-2−i3i3−i3i3−i3i3−i3i30000-11-11−i3i3−i3i3−i3i3−i3i300002-22-2000000000000−i3i3i3−i3−i3i3i3−i3-11-11-11-110000000000
χ402222-2-2-122-22-222-2-2-12-2-2-1-1-100001111-1-111-1-112-2-112-2−i3i3−i3i3−i3i3−i3i30000-11-11−i3i3−i3i3−i3i3−i3i30000-22-22000000000000i3−i3−i3i3i3−i3−i3i31-11-11-11-10000000000
χ412222-2-2-122-22-222-2-2-12-2-2-1-1-100001111-1-111-1-112-2-112-2i3−i3i3−i3i3−i3i3−i30000-11-11i3−i3i3−i3i3−i3i3−i300002-22-2000000000000i3−i3−i3i3i3−i3−i3i3-11-11-11-110000000000
χ422222-2-2-122-22-222-2-2-12-2-2-1-1-100001111-1-111-1-112-2-112-2i3−i3i3−i3i3−i3i3−i30000-11-11i3−i3i3−i3i3−i3i3−i30000-22-22000000000000−i3i3i3−i3−i3i3i3−i31-11-11-11-10000000000
χ432222-2-2-12-22-2222-2-2-12-2-2-1-1-100001111-1-111-11-1-221-1-22−i3i3i3−i3−i3i3i3−i300001-11-1−i3i3i3−i3−i3i3i3−i32-22-20000000000000000-11-11-11-11−i3i3i3−i3−i3i3i3−i30000000000
χ442222-2-2-12-22-2222-2-2-12-2-2-1-1-100001111-1-111-11-1-221-1-22−i3i3i3−i3−i3i3i3−i300001-11-1−i3i3i3−i3−i3i3i3−i3-22-2200000000000000001-11-11-11-1i3−i3−i3i3i3−i3−i3i30000000000
χ452222-2-2-12-22-2222-2-2-12-2-2-1-1-100001111-1-111-11-1-221-1-22i3−i3−i3i3i3−i3−i3i300001-11-1i3−i3−i3i3i3−i3−i3i32-22-20000000000000000-11-11-11-11i3−i3−i3i3i3−i3−i3i30000000000
χ462222-2-2-12-22-2222-2-2-12-2-2-1-1-100001111-1-111-11-1-221-1-22i3−i3−i3i3i3−i3−i3i300001-11-1i3−i3−i3i3i3−i3−i3i3-22-2200000000000000001-11-11-11-1−i3i3i3−i3−i3i3i3−i30000000000
χ4722-2-22-2222-2-22-2-22222-2-2-2-220000-22-2-2-2-22222-22-2-22-220000000000002-2-220000000000002i−2i−2i2i000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000
χ4822-2-22-2222-2-22-2-22222-2-2-2-220000-22-2-2-2-22222-22-2-22-220000000000002-2-22000000000000−2i2i2i−2i00000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000
χ4922-2-22-222-222-2-2-22222-2-2-2-220000-22-2-2-2-2222-22-222-22-2000000000000-222-2000000002i−2i−2i2i00000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000
χ5022-2-22-222-222-2-2-22222-2-2-2-220000-22-2-2-2-2222-22-222-22-2000000000000-222-200000000−2i2i2i−2i0000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000
χ5122-2-22-2-122-2-22-2-222-12-2-211-100001-11111-1-1-1-112-21-1-22−i3i3−i3i3i3−i3i3−i30000-111-1−i3i3−i3i3i3−i3i3−i300002i−2i−2i2i0000000000003−3−33−333−3−ii−iii−ii−i0000000000
χ5222-2-22-2-122-2-22-2-222-12-2-211-100001-11111-1-1-1-112-21-1-22−i3i3−i3i3i3−i3i3−i30000-111-1−i3i3−i3i3i3−i3i3−i30000−2i2i2i−2i000000000000−333−33−3−33i−ii−i−ii−ii0000000000
χ5322-2-22-2-122-2-22-2-222-12-2-211-100001-11111-1-1-1-112-21-1-22i3−i3i3−i3−i3i3−i3i30000-111-1i3−i3i3−i3−i3i3−i3i300002i−2i−2i2i000000000000−333−33−3−33−ii−iii−ii−i0000000000
χ5422-2-22-2-122-2-22-2-222-12-2-211-100001-11111-1-1-1-112-21-1-22i3−i3i3−i3−i3i3−i3i30000-111-1i3−i3i3−i3−i3i3−i3i30000−2i2i2i−2i0000000000003−3−33−333−3i−ii−i−ii−ii0000000000
χ5522-2-22-2-12-222-2-2-222-12-2-211-100001-11111-1-1-11-1-22-112-2−i3i3i3−i3i3−i3−i3i300001-1-11−i3i3i3−i3i3−i3−i3i32i−2i−2i2i0000000000000000−ii−iii−ii−i3−3−33−333−30000000000
χ5622-2-22-2-12-222-2-2-222-12-2-211-100001-11111-1-1-11-1-22-112-2−i3i3i3−i3i3−i3−i3i300001-1-11−i3i3i3−i3i3−i3−i3i3−2i2i2i−2i0000000000000000i−ii−i−ii−ii−333−33−3−330000000000
χ5722-2-22-2-12-222-2-2-222-12-2-211-100001-11111-1-1-11-1-22-112-2i3−i3−i3i3−i3i3i3−i300001-1-11i3−i3−i3i3−i3i3i3−i32i−2i−2i2i0000000000000000−ii−iii−ii−i−333−33−3−330000000000
χ5822-2-22-2-12-222-2-2-222-12-2-211-100001-11111-1-1-11-1-22-112-2i3−i3−i3i3−i3i3i3−i300001-1-11i3−i3−i3i3−i3i3i3−i3−2i2i2i−2i0000000000000000i−ii−i−ii−ii3−3−33−333−30000000000
χ5922-2-2-2222-2-222-2-2-2-22222-2-222-2-222-222-2-2-2-22-2-2-2-2222222-2-2-2-2222-2-22-2-22222-2-2-2-2220000000000000000000000000000000000000000000000
χ6022-2-2-2222-2-222-2-2-2-22222-2-22-222-22-222-2-2-2-22-2-2-2-22222-2-22222-2-2-222-2-2-222-2-22222-2-20000000000000000000000000000000000000000000000
χ6122-2-2-222-122-2-211112-1-1-1-2-2-122-2-22-2-1-11111-122-1-1-2-2112222-2-2-2-2-1-111-1-111-1-1-1-111110000000022-2-2-1-1-1-1111100000000000000002-2-1-1110000
χ6222-2-2-222-122-2-211112-1-1-1-2-2-122-2-22-2-1-11111-122-1-1-2-2112222-2-2-2-2-1-111-1-111-1-1-1-1111100000000-2-2221111-1-1-1-10000000000000000-2211-1-10000
χ6322-2-2-222-122-2-211112-1-1-1-2-2-1-2-2222-2-1-11111-122-1-1-2-211-2-2-2-2222211-1-1-1-1111111-1-1-1-10000000022-2-2-1-1-1-111110000000000000000-2211-1-10000
χ6422-2-2-222-122-2-211112-1-1-1-2-2-1-2-2222-2-1-11111-122-1-1-2-211-2-2-2-2222211-1-1-1-1111111-1-1-1-100000000-2-2221111-1-1-1-100000000000000002-2-1-1110000
χ6522-2-2-222-1-2-22211112-1-1-1-2-2-12-2-222-2-1-11111-1-2-21122-1-122-2-2-2-222-111-111-1-1-1-11111-1-1000000000000−i3−i3i3i3i3i3−i3−i3000000000000000000−i3i3i3−i30000
χ6622-2-2-222-1-2-22211112-1-1-1-2-2-12-2-222-2-1-11111-1-2-21122-1-122-2-2-2-222-111-111-1-1-1-11111-1-1000000000000i3i3−i3−i3−i3−i3i3i3000000000000000000i3−i3−i3i30000
χ6722-2-2-222-1-2-22211112-1-1-1-2-2-1-222-22-2-1-11111-1-2-21122-1-1-2-22222-2-21-1-1111-1-111-1-1-1-111000000000000−i3−i3i3i3i3i3−i3−i3000000000000000000i3−i3−i3i30000
χ6822-2-2-222-1-2-22211112-1-1-1-2-2-1-222-22-2-1-11111-1-2-21122-1-1-2-22222-2-21-1-1111-1-111-1-1-1-111000000000000i3i3−i3−i3−i3−i3i3i3000000000000000000−i3i3i3−i30000
χ6922-2-2-22-1222-2-2-2-2-2-2-122211-122-2-2-11-1-11111-1-1-12211-2-2-1-1-1-1111122-2-2-1-111-1-1-1-111112i2i−2i−2i2i2i−2i−2i000000000000−i−i−i−iiiii−i−i−i−iiiii0000000000
χ7022-2-2-22-1222-2-2-2-2-2-2-122211-122-2-2-11-1-11111-1-1-12211-2-2-1-1-1-1111122-2-2-1-111-1-1-1-11111−2i−2i2i2i−2i−2i2i2i000000000000iiii−i−i−i−iiiii−i−i−i−i0000000000
χ7122-2-2-22-1222-2-2-2-2-2-2-122211-1-2-222-11-1-11111-1-1-12211-2-21111-1-1-1-1-2-222-1-1111111-1-1-1-12i2i−2i−2i−2i−2i2i2i000000000000−i−i−i−iiiiiiiii−i−i−i−i0000000000
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χ9444-4-4-44-2-244-4-42222-2-2-2-2221-4-444-2211-1-1-1-11-2-2-2-222222222-2-2-2-222-2-211-1-1-1-1-1-111110000000000000000000000000000000000000000000000
χ9544-4-4-44-2-2-4-4442222-2-2-2-22214-4-44-2211-1-1-1-112222-2-2-2-2-2-22222-2-2-222-2-1-11111-1-1-1-1110000000000000000000000000000000000000000000000
χ9644-4-4-44-2-2-4-4442222-2-2-2-2221-444-4-2211-1-1-1-112222-2-2-2-222-2-2-2-2222-2-22-1-111-1-11111-1-10000000000000000000000000000000000000000000000
χ974-44-4004400004-400-4-4004-44000000004-400-400000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000
χ984-44-4004400004-400-4-4004-44000000004-400-40000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000
χ994-44-4004-20000-22−2i32i3-42−2i32i34-4-2000000−2i32i3-22−2i32i3200000000000000000000000000000000000000002i−2i2i−2i2ζ7−2ζ72ζ11−2ζ112ζ7−2ζ72ζ11−2ζ1100000000000000000000000000
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χ1014-44-4004-20000-222i3−2i3-422i3−2i34-4-20000002i3−2i3-222i3−2i3200000000000000000000000000000000000000002i−2i2i−2i2ζ11−2ζ112ζ7−2ζ72ζ11−2ζ112ζ7−2ζ700000000000000000000000000
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χ1084-4-44004-200002-22i3−2i3-42−2i32i3-44-2000000−2i32i32-22i3−2i320000000000000000000000000000000000000000−2i2i2i−2i−2ζ72ζ7−2ζ112ζ112ζ7−2ζ72ζ11−2ζ1100000000000000000000000000
χ1098-88-800-4800008-8004-800-44-400000000-44004000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-800-4-40000-44−4i34i344−4i34i3-4420000002i3−2i32-22i3−2i3-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-800-4-40000-444i3−4i3444i3−4i3-442000000−2i32i32-2−2i32i3-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-8800-480000-88004-8004-4-4000000004-4004000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-8800-4-400004-4−4i34i3444i3−4i34-42000000−2i32i3-222i3−2i3-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8800-4-400004-44i3−4i344−4i34i34-420000002i3−2i3-22−2i32i3-2000000000000000000000000000000000000000000000000000000000000000000000000000000

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