Finite Group Databasebeta

← Group #11920666

Character table — Group #11920666

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111666666888812121111666666888812122222121212121212161616162424222212121212121216161616242433331818181818182424242436363333181818181818242424243636
order122244888836664422224488886666443666121224242424366612126666121224242424666612124444448888121212124444444488881212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1
χ31-11-11-1ii−i−i11-1-1i−i1-11-11-1ii−i−i11-1-1i−i1-11-11-1ii−i−i11-1-1i−i1-11-11-1ii−i−i11-1-1i−i1-11-11-1ii−i−i11-1-1i−i1-11-11-1ii−i−i11-1-1i−i
χ41-11-11-1−i−iii11-1-1−ii1-11-11-1−i−iii11-1-1−ii1-11-11-1−i−iii11-1-1−ii1-11-11-1−i−iii11-1-1−ii1-11-11-1−i−iii11-1-1−ii1-11-11-1−i−iii11-1-1−ii
χ52222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-100
χ622-2-2002−22−2-111-10022-2-2002−22−2-111-10022-2-2002−22−2-111-10022-2-2002−22−2-111-10022-2-2002−22−2-111-10022-2-2002−22−2-111-100
χ722-2-200−22−22-111-10022-2-200−22−22-111-10022-2-200−22−22-111-10022-2-200−22−22-111-10022-2-200−22−22-111-10022-2-200−22−22-111-100
χ82-22-22-20000-1-111002-22-22-20000-1-111002-22-22-20000-1-111002-22-22-20000-1-111002-22-22-20000-1-111002-22-22-20000-1-11100
χ92-2-2200i2−i2−i2i2-11-11002-2-2200i2−i2−i2i2-11-11002-2-2200i2−i2−i2i2-11-11002-2-2200i2−i2−i2i2-11-11002-2-2200i2−i2−i2i2-11-11002-2-2200i2−i2−i2i2-11-1100
χ102-2-2200−i2i2i2−i2-11-11002-2-2200−i2i2i2−i2-11-11002-2-2200−i2i2i2−i2-11-11002-2-2200−i2i2i2−i2-11-11002-2-2200−i2i2i2−i2-11-11002-2-2200−i2i2i2−i2-11-1100
χ113333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-1
χ123333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011
χ133-33-3-11ii−i−i0000−ii3-33-3-11ii−i−i0000−ii3-33-3-11ii−i−i0000−ii3-33-3-11ii−i−i0000−ii3-33-3-11ii−i−i0000−ii3-33-3-11ii−i−i0000−ii
χ143-33-3-11−i−iii0000i−i3-33-3-11−i−iii0000i−i3-33-3-11−i−iii0000i−i3-33-3-11−i−iii0000i−i3-33-3-11−i−iii0000i−i3-33-3-11−i−iii0000i−i
χ1544-4-40000001-1-110044-4-40000001-1-110044-4-40000001-1-110044-4-40000001-1-110044-4-40000001-1-110044-4-40000001-1-1100
χ164-4-440000001-11-1004-4-440000001-11-1004-4-440000001-11-1004-4-440000001-11-1004-4-440000001-11-1004-4-440000001-11-100
χ171111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ18111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ191-11-11-1ii−i−i11-1-1i−i1-11-11-1ii−i−i11-1-1i−i1-11-11-1ii−i−i11-1-1i−i1-11-11-1ii−i−i11-1-1i−i-11-11-11−i−iii-1-111−ii-11-11-11−i−iii-1-111−ii
χ201-11-11-1−i−iii11-1-1−ii1-11-11-1−i−iii11-1-1−ii1-11-11-1−i−iii11-1-1−ii1-11-11-1−i−iii11-1-1−ii-11-11-11ii−i−i-1-111i−i-11-11-11ii−i−i-1-111i−i
χ212222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-100-2-2-2-2-2-20000111100-2-2-2-2-2-20000111100
χ2222-2-2002−22−2-111-10022-2-2002−22−2-111-10022-2-2002−22−2-111-10022-2-2002−22−2-111-100-2-22200−22−221-1-1100-2-22200−22−221-1-1100
χ2322-2-200−22−22-111-10022-2-200−22−22-111-10022-2-200−22−22-111-10022-2-200−22−22-111-100-2-222002−22−21-1-1100-2-222002−22−21-1-1100
χ242-22-22-20000-1-111002-22-22-20000-1-111002-22-22-20000-1-111002-22-22-20000-1-11100-22-22-22000011-1-100-22-22-22000011-1-100
χ252-2-2200i2−i2−i2i2-11-11002-2-2200i2−i2−i2i2-11-11002-2-2200i2−i2−i2i2-11-11002-2-2200i2−i2−i2i2-11-1100-222-200−i2i2i2−i21-11-100-222-200−i2i2i2−i21-11-100
χ262-2-2200−i2i2i2−i2-11-11002-2-2200−i2i2i2−i2-11-11002-2-2200−i2i2i2−i2-11-11002-2-2200−i2i2i2−i2-11-1100-222-200i2−i2−i2i21-11-100-222-200i2−i2−i2i21-11-100
χ273333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-1-3-3-3-311-1-1-1-1000011-3-3-3-311-1-1-1-1000011
χ283333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011-3-3-3-31111110000-1-1-3-3-3-31111110000-1-1
χ293-33-3-11ii−i−i0000−ii3-33-3-11ii−i−i0000−ii3-33-3-11ii−i−i0000−ii3-33-3-11ii−i−i0000−ii-33-331-1−i−iii0000i−i-33-331-1−i−iii0000i−i
χ303-33-3-11−i−iii0000i−i3-33-3-11−i−iii0000i−i3-33-3-11−i−iii0000i−i3-33-3-11−i−iii0000i−i-33-331-1ii−i−i0000−ii-33-331-1ii−i−i0000−ii
χ3144-4-40000001-1-110044-4-40000001-1-110044-4-40000001-1-110044-4-40000001-1-1100-4-444000000-111-100-4-444000000-111-100
χ324-4-440000001-11-1004-4-440000001-11-1004-4-440000001-11-1004-4-440000001-11-100-444-4000000-11-1100-444-4000000-11-1100
χ331111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ34111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111iiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iii
χ351-11-11-1ii−i−i11-1-1i−i-11-11-11−i−iii-1-111−ii1-11-11-1ii−i−i11-1-1i−i-11-11-11−i−iii-1-111−iii−ii−ii−i-1-111ii−i−i-11−ii−ii−ii11-1-1−i−iii1-1
χ361-11-11-1−i−iii11-1-1−ii-11-11-11ii−i−i-1-111i−i1-11-11-1−i−iii11-1-1−ii-11-11-11ii−i−i-1-111i−ii−ii−ii−i11-1-1ii−i−i1-1−ii−ii−ii-1-111−i−iii-11
χ372222220000-1-1-1-100-2-2-2-2-2-200001111002222220000-1-1-1-100-2-2-2-2-2-200001111002i2i2i2i2i2i0000−i−i−i−i00−2i−2i−2i−2i−2i−2i0000iiii00
χ3822-2-2002−22−2-111-100-2-22200−22−221-1-110022-2-2002−22−2-111-100-2-22200−22−221-1-11002i2i−2i−2i00i2−i2i2−i2−iii−i00−2i−2i2i2i00−i2i2−i2i2i−i−ii00
χ3922-2-200−22−22-111-100-2-222002−22−21-1-110022-2-200−22−22-111-100-2-222002−22−21-1-11002i2i−2i−2i00−i2i2−i2i2−iii−i00−2i−2i2i2i00i2−i2i2−i2i−i−ii00
χ402-22-22-20000-1-11100-22-22-22000011-1-1002-22-22-20000-1-11100-22-22-22000011-1-1002i−2i2i−2i2i−2i0000−i−iii00−2i2i−2i2i−2i2i0000ii−i−i00
χ412-2-2200i2−i2−i2i2-11-1100-222-200−i2i2i2−i21-11-1002-2-2200i2−i2−i2i2-11-1100-222-200−i2i2i2−i21-11-1002i−2i−2i2i00−222−2−ii−ii00−2i2i2i−2i002−2−22i−ii−i00
χ422-2-2200−i2i2i2−i2-11-1100-222-200i2−i2−i2i21-11-1002-2-2200−i2i2i2−i2-11-1100-222-200i2−i2−i2i21-11-1002i−2i−2i2i002−2−22−ii−ii00−2i2i2i−2i00−222−2i−ii−i00
χ433333-1-111110000-1-1-3-3-3-311-1-1-1-10000113333-1-111110000-1-1-3-3-3-311-1-1-1-10000113i3i3i3i−i−iiiii0000−i−i−3i−3i−3i−3iii−i−i−i−i0000ii
χ443333-1-1-1-1-1-1000011-3-3-3-31111110000-1-13333-1-1-1-1-1-1000011-3-3-3-31111110000-1-13i3i3i3i−i−i−i−i−i−i0000ii−3i−3i−3i−3iiiiiii0000−i−i
χ453-33-3-11ii−i−i0000−ii-33-331-1−i−iii0000i−i3-33-3-11ii−i−i0000−ii-33-331-1−i−iii0000i−i3i−3i3i−3i−ii-1-11100001-1−3i3i−3i3ii−i11-1-10000-11
χ463-33-3-11−i−iii0000i−i-33-331-1ii−i−i0000−ii3-33-3-11−i−iii0000i−i-33-331-1ii−i−i0000−ii3i−3i3i−3i−ii11-1-10000-11−3i3i−3i3ii−i-1-11100001-1
χ4744-4-40000001-1-1100-4-444000000-111-10044-4-40000001-1-1100-4-444000000-111-1004i4i−4i−4i000000i−i−ii00−4i−4i4i4i000000−iii−i00
χ484-4-440000001-11-100-444-4000000-11-11004-4-440000001-11-100-444-4000000-11-11004i−4i−4i4i000000i−ii−i00−4i4i4i−4i000000−ii−ii00
χ491111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii
χ50111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i
χ511-11-11-1ii−i−i11-1-1i−i-11-11-11−i−iii-1-111−ii1-11-11-1ii−i−i11-1-1i−i-11-11-11−i−iii-1-111−ii−ii−ii−ii11-1-1−i−iii1-1i−ii−ii−i-1-111ii−i−i-11
χ521-11-11-1−i−iii11-1-1−ii-11-11-11ii−i−i-1-111i−i1-11-11-1−i−iii11-1-1−ii-11-11-11ii−i−i-1-111i−i−ii−ii−ii-1-111−i−iii-11i−ii−ii−i11-1-1ii−i−i1-1
χ532222220000-1-1-1-100-2-2-2-2-2-200001111002222220000-1-1-1-100-2-2-2-2-2-20000111100−2i−2i−2i−2i−2i−2i0000iiii002i2i2i2i2i2i0000−i−i−i−i00
χ5422-2-2002−22−2-111-100-2-22200−22−221-1-110022-2-2002−22−2-111-100-2-22200−22−221-1-1100−2i−2i2i2i00−i2i2−i2i2i−i−ii002i2i−2i−2i00i2−i2i2−i2−iii−i00
χ5522-2-200−22−22-111-100-2-222002−22−21-1-110022-2-200−22−22-111-100-2-222002−22−21-1-1100−2i−2i2i2i00i2−i2i2−i2i−i−ii002i2i−2i−2i00−i2i2−i2i2−iii−i00
χ562-22-22-20000-1-11100-22-22-22000011-1-1002-22-22-20000-1-11100-22-22-22000011-1-100−2i2i−2i2i−2i2i0000ii−i−i002i−2i2i−2i2i−2i0000−i−iii00
χ572-2-2200i2−i2−i2i2-11-1100-222-200−i2i2i2−i21-11-1002-2-2200i2−i2−i2i2-11-1100-222-200−i2i2i2−i21-11-100−2i2i2i−2i002−2−22i−ii−i002i−2i−2i2i00−222−2−ii−ii00
χ582-2-2200−i2i2i2−i2-11-1100-222-200i2−i2−i2i21-11-1002-2-2200−i2i2i2−i2-11-1100-222-200i2−i2−i2i21-11-100−2i2i2i−2i00−222−2i−ii−i002i−2i−2i2i002−2−22−ii−ii00
χ593333-1-111110000-1-1-3-3-3-311-1-1-1-10000113333-1-111110000-1-1-3-3-3-311-1-1-1-1000011−3i−3i−3i−3iii−i−i−i−i0000ii3i3i3i3i−i−iiiii0000−i−i
χ603333-1-1-1-1-1-1000011-3-3-3-31111110000-1-13333-1-1-1-1-1-1000011-3-3-3-31111110000-1-1−3i−3i−3i−3iiiiiii0000−i−i3i3i3i3i−i−i−i−i−i−i0000ii
χ613-33-3-11ii−i−i0000−ii-33-331-1−i−iii0000i−i3-33-3-11ii−i−i0000−ii-33-331-1−i−iii0000i−i−3i3i−3i3ii−i11-1-10000-113i−3i3i−3i−ii-1-11100001-1
χ623-33-3-11−i−iii0000i−i-33-331-1ii−i−i0000−ii3-33-3-11−i−iii0000i−i-33-331-1ii−i−i0000−ii−3i3i−3i3ii−i-1-11100001-13i−3i3i−3i−ii11-1-10000-11
χ6344-4-40000001-1-1100-4-444000000-111-10044-4-40000001-1-1100-4-444000000-111-100−4i−4i4i4i000000−iii−i004i4i−4i−4i000000i−i−ii00
χ644-4-440000001-11-100-444-4000000-11-11004-4-440000001-11-100-444-4000000-11-1100−4i4i4i−4i000000−ii−ii004i−4i−4i4i000000i−ii−i00
χ6522222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ66222222-2-2-2-22222-2-2222222-2-2-2-22222-2-2-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11100000000000000000000000000000000
χ672-22-22-22i2i−2i−2i22-2-22i−2i2-22-22-22i2i−2i−2i22-2-22i−2i-11-11-11−i−iii-1-111−ii-11-11-11−i−iii-1-111−ii00000000000000000000000000000000
χ682-22-22-2−2i−2i2i2i22-2-2−2i2i2-22-22-2−2i−2i2i2i22-2-2−2i2i-11-11-11ii−i−i-1-111i−i-11-11-11ii−i−i-1-111i−i00000000000000000000000000000000
χ694444440000-2-2-2-2004444440000-2-2-2-200-2-2-2-2-2-20000111100-2-2-2-2-2-2000011110000000000000000000000000000000000
χ7044-4-40022−2222−22-222-20044-4-40022−2222−22-222-200-2-22200−22−221-1-1100-2-22200−22−221-1-110000000000000000000000000000000000
χ7144-4-400−2222−2222-222-20044-4-400−2222−2222-222-200-2-222002−22−21-1-1100-2-222002−22−21-1-110000000000000000000000000000000000
χ724-44-44-40000-2-222004-44-44-40000-2-22200-22-22-22000011-1-100-22-22-22000011-1-10000000000000000000000000000000000
χ734-4-44002i2−2i2−2i22i2-22-22004-4-44002i2−2i2−2i22i2-22-2200-222-200−i2i2i2−i21-11-100-222-200−i2i2i2−i21-11-10000000000000000000000000000000000
χ744-4-4400−2i22i22i2−2i2-22-22004-4-4400−2i22i22i2−2i2-22-2200-222-200i2−i2−i2i21-11-100-222-200i2−i2−i2i21-11-10000000000000000000000000000000000
χ756666-2-222220000-2-26666-2-222220000-2-2-3-3-3-311-1-1-1-1000011-3-3-3-311-1-1-1-100001100000000000000000000000000000000
χ766666-2-2-2-2-2-20000226666-2-2-2-2-2-2000022-3-3-3-31111110000-1-1-3-3-3-31111110000-1-100000000000000000000000000000000
χ776-66-6-222i2i−2i−2i0000−2i2i6-66-6-222i2i−2i−2i0000−2i2i-33-331-1−i−iii0000i−i-33-331-1−i−iii0000i−i00000000000000000000000000000000
χ786-66-6-22−2i−2i2i2i00002i−2i6-66-6-22−2i−2i2i2i00002i−2i-33-331-1ii−i−i0000−ii-33-331-1ii−i−i0000−ii00000000000000000000000000000000
χ7988-8-80000002-2-220088-8-80000002-2-2200-4-444000000-111-100-4-444000000-111-10000000000000000000000000000000000
χ808-8-880000002-22-2008-8-880000002-22-200-444-4000000-11-1100-444-4000000-11-110000000000000000000000000000000000
χ812222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000000000
χ82222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-222-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-100000000000000000000000000000000
χ832-22-22-22i2i−2i−2i22-2-22i−2i-22-22-22−2i−2i2i2i-2-222−2i2i-11-11-11−i−iii-1-111−ii1-11-11-1ii−i−i11-1-1i−i00000000000000000000000000000000
χ842-22-22-2−2i−2i2i2i22-2-2−2i2i-22-22-222i2i−2i−2i-2-2222i−2i-11-11-11ii−i−i-1-111i−i1-11-11-1−i−iii11-1-1−ii00000000000000000000000000000000
χ854444440000-2-2-2-200-4-4-4-4-4-40000222200-2-2-2-2-2-200001111002222220000-1-1-1-10000000000000000000000000000000000
χ8644-4-40022−2222−22-222-200-4-44400−2222−22222-2-2200-2-22200−22−221-1-110022-2-2002−22−2-111-10000000000000000000000000000000000
χ8744-4-400−2222−2222-222-200-4-4440022−2222−222-2-2200-2-222002−22−21-1-110022-2-200−22−22-111-10000000000000000000000000000000000
χ884-44-44-40000-2-22200-44-44-44000022-2-200-22-22-22000011-1-1002-22-22-20000-1-1110000000000000000000000000000000000
χ894-4-44002i2−2i2−2i22i2-22-2200-444-400−2i22i22i2−2i22-22-200-222-200−i2i2i2−i21-11-1002-2-2200i2−i2−i2i2-11-110000000000000000000000000000000000
χ904-4-4400−2i22i22i2−2i2-22-2200-444-4002i2−2i2−2i22i22-22-200-222-200i2−i2−i2i21-11-1002-2-2200−i2i2i2−i2-11-110000000000000000000000000000000000
χ916666-2-222220000-2-2-6-6-6-622-2-2-2-2000022-3-3-3-311-1-1-1-10000113333-1-111110000-1-100000000000000000000000000000000
χ926666-2-2-2-2-2-2000022-6-6-6-62222220000-2-2-3-3-3-31111110000-1-13333-1-1-1-1-1-100001100000000000000000000000000000000
χ936-66-6-222i2i−2i−2i0000−2i2i-66-662-2−2i−2i2i2i00002i−2i-33-331-1−i−iii0000i−i3-33-3-11ii−i−i0000−ii00000000000000000000000000000000
χ946-66-6-22−2i−2i2i2i00002i−2i-66-662-22i2i−2i−2i0000−2i2i-33-331-1ii−i−i0000−ii3-33-3-11−i−iii0000i−i00000000000000000000000000000000
χ9588-8-80000002-2-2200-8-888000000-222-200-4-444000000-111-10044-4-40000001-1-110000000000000000000000000000000000
χ968-8-880000002-22-200-888-8000000-22-2200-444-4000000-11-11004-4-440000001-11-10000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).