Finite Group Databasebeta

← Group #11922213

Character table — Group #11922213

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111666666888812122222121212121212161616162424333318181818181824242424363611116666668888121222221212121212121616161624243333181818181818242424243636
order1222448888366644366612122424242436661212222244888866664422224488886666446666121224242424666612122222448888666644
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
χ1711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ18111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ191-11-11-1ii−i−i11-1-1i−i1-11-11-1ii−i−i11-1-1i−i-11-11-11−i−iii-1-111−ii1-11-11-1ii−i−i11-1-1i−i1-11-11-1ii−i−i11-1-1i−i-11-11-11−i−iii-1-111−ii
χ201-11-11-1−i−iii11-1-1−ii1-11-11-1−i−iii11-1-1−ii-11-11-11ii−i−i-1-111i−i1-11-11-1−i−iii11-1-1−ii1-11-11-1−i−iii11-1-1−ii-11-11-11ii−i−i-1-111i−i
χ212222220000-1-1-1-1002222220000-1-1-1-100-2-2-2-2-2-200001111002222220000-1-1-1-1002222220000-1-1-1-100-2-2-2-2-2-20000111100
χ2222-2-2002−22−2-111-10022-2-2002−22−2-111-100-2-22200−22−221-1-110022-2-2002−22−2-111-10022-2-2002−22−2-111-100-2-22200−22−221-1-1100
χ2322-2-200−22−22-111-10022-2-200−22−22-111-100-2-222002−22−21-1-110022-2-200−22−22-111-10022-2-200−22−22-111-100-2-222002−22−21-1-1100
χ242-22-22-20000-1-111002-22-22-20000-1-11100-22-22-22000011-1-1002-22-22-20000-1-111002-22-22-20000-1-11100-22-22-22000011-1-100
χ252-2-2200i2−i2−i2i2-11-11002-2-2200i2−i2−i2i2-11-1100-222-200−i2i2i2−i21-11-1002-2-2200i2−i2−i2i2-11-11002-2-2200i2−i2−i2i2-11-1100-222-200−i2i2i2−i21-11-100
χ262-2-2200−i2i2i2−i2-11-11002-2-2200−i2i2i2−i2-11-1100-222-200i2−i2−i2i21-11-1002-2-2200−i2i2i2−i2-11-11002-2-2200−i2i2i2−i2-11-1100-222-200i2−i2−i2i21-11-100
χ273333-1-111110000-1-13333-1-111110000-1-1-3-3-3-311-1-1-1-10000113333-1-111110000-1-13333-1-111110000-1-1-3-3-3-311-1-1-1-1000011
χ283333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011-3-3-3-31111110000-1-13333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011-3-3-3-31111110000-1-1
χ293-33-3-11ii−i−i0000−ii3-33-3-11ii−i−i0000−ii-33-331-1−i−iii0000i−i3-33-3-11ii−i−i0000−ii3-33-3-11ii−i−i0000−ii-33-331-1−i−iii0000i−i
χ303-33-3-11−i−iii0000i−i3-33-3-11−i−iii0000i−i-33-331-1ii−i−i0000−ii3-33-3-11−i−iii0000i−i3-33-3-11−i−iii0000i−i-33-331-1ii−i−i0000−ii
χ3144-4-40000001-1-110044-4-40000001-1-1100-4-444000000-111-10044-4-40000001-1-110044-4-40000001-1-1100-4-444000000-111-100
χ324-4-440000001-11-1004-4-440000001-11-100-444-4000000-11-11004-4-440000001-11-1004-4-440000001-11-100-444-4000000-11-1100
χ332222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ34222222-2-2-2-22222-2-2-1-1-1-1-1-11111-1-1-1-1110000000000000000222222-2-2-2-22222-2-2-1-1-1-1-1-11111-1-1-1-1110000000000000000
χ352-22-22-22i2i−2i−2i22-2-22i−2i-11-11-11−i−iii-1-111−ii00000000000000002-22-22-22i2i−2i−2i22-2-22i−2i-11-11-11−i−iii-1-111−ii0000000000000000
χ362-22-22-2−2i−2i2i2i22-2-2−2i2i-11-11-11ii−i−i-1-111i−i00000000000000002-22-22-2−2i−2i2i2i22-2-2−2i2i-11-11-11ii−i−i-1-111i−i0000000000000000
χ374444440000-2-2-2-200-2-2-2-2-2-2000011110000000000000000004444440000-2-2-2-200-2-2-2-2-2-200001111000000000000000000
χ3844-4-40022−2222−22-222-200-2-22200−22−221-1-1100000000000000000044-4-40022−2222−22-222-200-2-22200−22−221-1-11000000000000000000
χ3944-4-400−2222−2222-222-200-2-222002−22−21-1-1100000000000000000044-4-400−2222−2222-222-200-2-222002−22−21-1-11000000000000000000
χ404-44-44-40000-2-22200-22-22-22000011-1-10000000000000000004-44-44-40000-2-22200-22-22-22000011-1-1000000000000000000
χ414-4-44002i2−2i2−2i22i2-22-2200-222-200−i2i2i2−i21-11-10000000000000000004-4-44002i2−2i2−2i22i2-22-2200-222-200−i2i2i2−i21-11-1000000000000000000
χ424-4-4400−2i22i22i2−2i2-22-2200-222-200i2−i2−i2i21-11-10000000000000000004-4-4400−2i22i22i2−2i2-22-2200-222-200i2−i2−i2i21-11-1000000000000000000
χ436666-2-222220000-2-2-3-3-3-311-1-1-1-100001100000000000000006666-2-222220000-2-2-3-3-3-311-1-1-1-10000110000000000000000
χ446666-2-2-2-2-2-2000022-3-3-3-31111110000-1-100000000000000006666-2-2-2-2-2-2000022-3-3-3-31111110000-1-10000000000000000
χ456-66-6-222i2i−2i−2i0000−2i2i-33-331-1−i−iii0000i−i00000000000000006-66-6-222i2i−2i−2i0000−2i2i-33-331-1−i−iii0000i−i0000000000000000
χ466-66-6-22−2i−2i2i2i00002i−2i-33-331-1ii−i−i0000−ii00000000000000006-66-6-22−2i−2i2i2i00002i−2i-33-331-1ii−i−i0000−ii0000000000000000
χ4788-8-80000002-2-2200-4-444000000-111-100000000000000000088-8-80000002-2-2200-4-444000000-111-1000000000000000000
χ488-8-880000002-22-200-444-4000000-11-110000000000000000008-8-880000002-22-200-444-4000000-11-11000000000000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ50111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ511-11-11-1ii−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-11-11-11−i−iii-1-111−ii
χ521-11-11-1−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-11-11-11ii−i−i-1-111i−i
χ532222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-100-2-2-2-2-2-20000111100-2-2-2-2-2-20000111100-2-2-2-2-2-20000111100
χ5422-2-2002−22−2-111-10022-2-2002−22−2-111-10022-2-2002−22−2-111-100-2-22200−22−221-1-1100-2-22200−22−221-1-1100-2-22200−22−221-1-1100
χ5522-2-200−22−22-111-10022-2-200−22−22-111-10022-2-200−22−22-111-100-2-222002−22−21-1-1100-2-222002−22−21-1-1100-2-222002−22−21-1-1100
χ562-22-22-20000-1-111002-22-22-20000-1-111002-22-22-20000-1-11100-22-22-22000011-1-100-22-22-22000011-1-100-22-22-22000011-1-100
χ572-2-2200i2−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−i21-11-100-222-200−i2i2i2−i21-11-100
χ582-2-2200−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−i2i21-11-100-222-200i2−i2−i2i21-11-100
χ593333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-1-3-3-3-311-1-1-1-1000011-3-3-3-311-1-1-1-1000011-3-3-3-311-1-1-1-1000011
χ603333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011-3-3-3-31111110000-1-1-3-3-3-31111110000-1-1-3-3-3-31111110000-1-1
χ613-33-3-11ii−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-33-331-1−i−iii0000i−i
χ623-33-3-11−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-33-331-1ii−i−i0000−ii
χ6344-4-40000001-1-110044-4-40000001-1-110044-4-40000001-1-1100-4-444000000-111-100-4-444000000-111-100-4-444000000-111-100
χ644-4-440000001-11-1004-4-440000001-11-1004-4-440000001-11-100-444-4000000-11-1100-444-4000000-11-1100-444-4000000-11-1100
χ6511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ66111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1
χ671-11-11-1ii−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-11-11-11−i−iii-1-111−ii1-11-11-1ii−i−i11-1-1i−i
χ681-11-11-1−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-11-11-11ii−i−i-1-111i−i1-11-11-1−i−iii11-1-1−ii
χ692222220000-1-1-1-1002222220000-1-1-1-100-2-2-2-2-2-20000111100-2-2-2-2-2-20000111100-2-2-2-2-2-200001111002222220000-1-1-1-100
χ7022-2-2002−22−2-111-10022-2-2002−22−2-111-100-2-22200−22−221-1-1100-2-22200−22−221-1-1100-2-22200−22−221-1-110022-2-2002−22−2-111-100
χ7122-2-200−22−22-111-10022-2-200−22−22-111-100-2-222002−22−21-1-1100-2-222002−22−21-1-1100-2-222002−22−21-1-110022-2-200−22−22-111-100
χ722-22-22-20000-1-111002-22-22-20000-1-11100-22-22-22000011-1-100-22-22-22000011-1-100-22-22-22000011-1-1002-22-22-20000-1-11100
χ732-2-2200i2−i2−i2i2-11-11002-2-2200i2−i2−i2i2-11-1100-222-200−i2i2i2−i21-11-100-222-200−i2i2i2−i21-11-100-222-200−i2i2i2−i21-11-1002-2-2200i2−i2−i2i2-11-1100
χ742-2-2200−i2i2i2−i2-11-11002-2-2200−i2i2i2−i2-11-1100-222-200i2−i2−i2i21-11-100-222-200i2−i2−i2i21-11-100-222-200i2−i2−i2i21-11-1002-2-2200−i2i2i2−i2-11-1100
χ753333-1-111110000-1-13333-1-111110000-1-1-3-3-3-311-1-1-1-1000011-3-3-3-311-1-1-1-1000011-3-3-3-311-1-1-1-10000113333-1-111110000-1-1
χ763333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011-3-3-3-31111110000-1-1-3-3-3-31111110000-1-1-3-3-3-31111110000-1-13333-1-1-1-1-1-1000011
χ773-33-3-11ii−i−i0000−ii3-33-3-11ii−i−i0000−ii-33-331-1−i−iii0000i−i-33-331-1−i−iii0000i−i-33-331-1−i−iii0000i−i3-33-3-11ii−i−i0000−ii
χ783-33-3-11−i−iii0000i−i3-33-3-11−i−iii0000i−i-33-331-1ii−i−i0000−ii-33-331-1ii−i−i0000−ii-33-331-1ii−i−i0000−ii3-33-3-11−i−iii0000i−i
χ7944-4-40000001-1-110044-4-40000001-1-1100-4-444000000-111-100-4-444000000-111-100-4-444000000-111-10044-4-40000001-1-1100
χ804-4-440000001-11-1004-4-440000001-11-100-444-4000000-11-1100-444-4000000-11-1100-444-4000000-11-11004-4-440000001-11-100
χ812222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111110000000000000000
χ82222222-2-2-2-22222-2-2-1-1-1-1-1-11111-1-1-1-1110000000000000000-2-2-2-2-2-22222-2-2-2-222111111-1-1-1-11111-1-10000000000000000
χ832-22-22-22i2i−2i−2i22-2-22i−2i-11-11-11−i−iii-1-111−ii0000000000000000-22-22-22−2i−2i2i2i-2-222−2i2i1-11-11-1ii−i−i11-1-1i−i0000000000000000
χ842-22-22-2−2i−2i2i2i22-2-2−2i2i-11-11-11ii−i−i-1-111i−i0000000000000000-22-22-222i2i−2i−2i-2-2222i−2i1-11-11-1−i−iii11-1-1−ii0000000000000000
χ854444440000-2-2-2-200-2-2-2-2-2-200001111000000000000000000-4-4-4-4-4-400002222002222220000-1-1-1-1000000000000000000
χ8644-4-40022−2222−22-222-200-2-22200−22−221-1-11000000000000000000-4-44400−2222−22222-2-220022-2-2002−22−2-111-1000000000000000000
χ8744-4-400−2222−2222-222-200-2-222002−22−21-1-11000000000000000000-4-4440022−2222−222-2-220022-2-200−22−22-111-1000000000000000000
χ884-44-44-40000-2-22200-22-22-22000011-1-1000000000000000000-44-44-44000022-2-2002-22-22-20000-1-111000000000000000000
χ894-4-44002i2−2i2−2i22i2-22-2200-222-200−i2i2i2−i21-11-1000000000000000000-444-400−2i22i22i2−2i22-22-2002-2-2200i2−i2−i2i2-11-11000000000000000000
χ904-4-4400−2i22i22i2−2i2-22-2200-222-200i2−i2−i2i21-11-1000000000000000000-444-4002i2−2i2−2i22i22-22-2002-2-2200−i2i2i2−i2-11-11000000000000000000
χ916666-2-222220000-2-2-3-3-3-311-1-1-1-10000110000000000000000-6-6-6-622-2-2-2-20000223333-1-111110000-1-10000000000000000
χ926666-2-2-2-2-2-2000022-3-3-3-31111110000-1-10000000000000000-6-6-6-62222220000-2-23333-1-1-1-1-1-10000110000000000000000
χ936-66-6-222i2i−2i−2i0000−2i2i-33-331-1−i−iii0000i−i0000000000000000-66-662-2−2i−2i2i2i00002i−2i3-33-3-11ii−i−i0000−ii0000000000000000
χ946-66-6-22−2i−2i2i2i00002i−2i-33-331-1ii−i−i0000−ii0000000000000000-66-662-22i2i−2i−2i0000−2i2i3-33-3-11−i−iii0000i−i0000000000000000
χ9588-8-80000002-2-2200-4-444000000-111-1000000000000000000-8-888000000-222-20044-4-40000001-1-11000000000000000000
χ968-8-880000002-22-200-444-4000000-11-11000000000000000000-888-8000000-22-22004-4-440000001-11-1000000000000000000

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